Need some great assistance! Thanks!

Need Some Great Assistance! Thanks!

Answers

Answer 1

Answer:

b

Step-by-step explanation:

step by step explanation I'm probly wrong


Related Questions

Evaluate the related
series of each sequence
19, 28, 37, 46, 55

Answers

Answer: You add 9 each time

Step-by-step explanation:

19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55

hope this helps mark me brainliest if it did

The Variance Inflationary Factor (VIF) measures the: a. correlation of the X variables with the Y variable. b. correlation of the X variables with each other. c. standard deviation of the slope. d. contribution of each X variable with the Y variable after all other X variables are included in the model. e. both a and b.

Answers

The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the

How much of an inflation variance factor is there?

Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.

How high of a VIF is that?

Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.

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Transform the given function f(x) as described and write the resulting function as an equation

Transform the given function f(x) as described and write the resulting function as an equation

Answers

The given equation,

\(f(x)=\sqrt[]{x}\)

First it is horizontally stretched by a factor of 2.

\(f(x)=\sqrt[]{2x}\)

Then it is refected along y-axis,

\(f(x)=\sqrt[]{-2x}\)

It is then translated up by 2 unit.

\(f(x)=\sqrt[]{-2x}+2\)

Thus the resulting function becomes as:

\(y=\sqrt[]{-2x}+2\Rightarrow y-2=\sqrt[]{-2x}\)

Squaring both side,

\(y^2-4y+4=-2x\Rightarrow y^2+2x-4y+4=0\)

Thus the required equation is:

\(y^2+2x-4y+4=0\)

It is 4 kilometers from Kala's house to the nearest mailbox. How far is it in meters?Be sure to include the correct unit in your answer.

Answers

It is 4000 meters from Kala's house to the nearest mailbox

Explanation

we need to convert kilometers into meters

Step 1

remember

1 kilometer = 1000 meters

Let x represent the number of meters in 4 kilometers,so

if

\(1\text{ km}\rightarrow1000\text{ mt}\)

then

\(4\text{ km}\rightarrow x\)

as the proportion is the same(

\(\begin{gathered} \frac{1\text{ km}}{1000\text{ mt}}=\frac{4\text{ km}}{x} \\ \frac{1}{1000}=\frac{4}{x} \\ \text{cross multiply} \\ 1\cdot x=4\cdot1000 \\ x=4000\text{ } \end{gathered}\)

Hence

It is 4000 meters from Kala's house to the nearest mailbox

(tip: to convert from km to meters, just multiply by 1000)

so

4km=4*1000 mt=4000 mt

I hope this helps you

Curriculum
WorkKeys Curriculum Applied Math Levels
Level 5: Fractions with Unlike Denominators
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This
Q. To find out how much raw material will be removed from a product your company manufactures,
find the common denominator needed to subtract the following fractions. The common denominator
is
5 2
6 7
HINT

Answers

Answer: common denominator is 42

Step-by-step explanation:

Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.

Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.

Describe in words the transformations of the graph of the parent function f(x) = x2 thatwould result

Answers

2. The transformations are given as follows:

Vertical stretch by a factor of 3.Translation right 5 units.Translation up 2 units.

3. The transformations are given as follows:

Vertical compression by a factor of 3.Translation left 6 units.Translation down 4 units.

How to define the transformations?

For item 2, the transformations in this problem are given as follows:

Vertical stretch by a factor of 3, due to the multiplication by 3.Translation right 5 units, as x -> x - 5.Translation up 2 units, as y -> y + 2.

For item 3, the transformations are given as follows:

Vertical compression by a factor of 3, due to the multiplication by 1/3.Translation left 6 units, as x -> x + 6.Translation down 4 units, as y -> y - 4.

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7+2x/3=5 im stuck on this question pls hhelp my homework is due soon pls help

Answers

The value of X is 4

please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

7+2x/3=5 im stuck on this question pls hhelp my homework is due soon pls help

Prove that: (secA-cosec A) (1+cot A +tan A) =( sec^2A/cosecA)-(Cosec^2A/secA)

Answers

Step-by-step explanation:

\((\sec A - \csc A)(1 + \cot A + \tan A)\)

\(=(\sec A - \csc A)\left(1 + \dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} \right)\)

\(=(\sec A - \csc A)\left(1 + \dfrac{\cos^2 A + \sin^2 A}{\sin A\cos A} \right)\)

\(=(\sec A - \csc A)\left(\dfrac{1 + \sin A \cos A}{\sin A \cos A} \right)\)

\(=\left(\dfrac{\frac{1}{\cos A} - \frac{1}{\sin A}+\sin A - \cos A}{\sin A\cos A}\right)\)

\(=\dfrac{\sin A - \sin A \cos^2A - \cos A + \cos A\sin^2A}{(\sin A\cos A)^2}\)

\(=\dfrac{\sin A(1 - \cos^2A) - \cos A (1 - \sin^2 A)}{(\sin A\cos A)^2}\)

\(=\dfrac{\sin^3A - \cos^3A}{\sin^2A\cos^2A}\)

\(=\dfrac{\sin A}{\cos^2A} - \dfrac{\cos A}{\sin^2A}\)

\(=\left(\dfrac{1}{\cos A}\right)\left(\dfrac{\sin A}{1}\right) - \left(\dfrac{1}{\sin^2A}\right) \left(\dfrac{\cos A}{1}\right)\)

\(=\sec^2A\csc A - \csc^2A\sec A\)

Let P be the set of integers that are multiples of 3 between 1 and 20 and Q be the set of even natural numbers up to 15. Which of the following sets is NOT a subset of the union of P and Q ?Select the correct answer below:{3,5,6,12}{6,12}[3,6,12]{3,6,12,15}

Let P be the set of integers that are multiples of 3 between 1 and 20 and Q be the set of even natural

Answers

Answer:

Given:

• P is the set of integers that are multiples of 3 between 1 and 20.

,

• Q is the set of even natural numbers up to 15.

The elements of P and Q are:

\(\begin{gathered} P=\{3,6,9,12,15,18\} \\ Q=\{2,4,6,8,10,12,14\} \end{gathered}\)

The union of P and Q is:

\(P\cup Q=\{2,3,4,6,8,9,10,12,14,15,18\}\)

We observe that 5 is not in the union of P and Q, therefore, the set that is NOT a subset of the union of P and Q is:

{3,5,6,12}

The correct choice is A.

Answer: {3,5,6,12}

Step-by-step explanation:

Since P={3,6,9,12,15,18} and Q={2,4,6,8,10,12,14}, then the set P∪Q={2,3,4,6,8,9,10,12,14,15,18} consists of every even integer less than 15 in addition to every multiple of 3 that is less than 20. The number 5 is neither even nor a multiple of 3, so it cannot belong to the set P∪Q. Since it is an element of the set {3,5,6,12}, this set is not a subset of P∪Q. The other three choices all consist entirely of elements within P∪Q, so they are subsets of P∪Q.

Solve these equations 27x + 14 =500.
600= 12 + 14y

Answers

Answer:

x = 18 , y = 42

Step-by-step explanation:

27x + 14 = 500

      -14      -14

This process above moves the +14 to the right hand side, making it negative 14

27x = 486

To find x, divide 27 by 486

x = 486/27

x = 18

600 = 12 + 14y

Move the 12 to the left hand side to remain the 14y

600 = 12 + 14y

-12     -12

588 = 14y

Divide 14 by 588

588/14 = y

y = 42

Ellie opened a savings accounts 6 years ago. the account earns 10% interest, compounded annually. if the current balance is $300.00, how much did she deposit initially?? Round your answer to the nearest cent

Answers

\(\begin{gathered} 300.000=P(1+0,1)^6 \\ P=\frac{300.000}{(1+0,1)^6} \\ P=169.342 \\ \text{Ellie deposited \$}169.342\text{ initially} \\ A=P(1+i)^t \\ A=\text{FINAL AMOUNT} \\ P=\text{ INITIAL AMOUNT} \\ i=\text{ interest} \\ t=\text{ time. } \end{gathered}\)

(a) Show that if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^{T}\). Show with an example that the eigenvectors of A and \(A^{T}\) are not the same.

(b) Show that if λ is an eigenvalue of A, and A is invertible, then λ^-1 is an eigenvalue of A^-1.

Answers

If λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

What are eigenvalues and eigenvectors?

The equation Av = λv, where v is a non-zero vector, is satisfied by an eigenvector v and an eigenvalue given a square matrix A. In other words, the eigenvector v is multiplied by the matrix A to produce a scalar multiple of v. Due to their role in illuminating the behaviour of linear transformations and differential equation systems, eigenvectors play a crucial role in many branches of mathematics and science. When the eigenvector v is multiplied by A, the eigenvalue indicates how much it is scaled.

The eigenvalue and eigenvector states that, let v be a non-zero eigenvector of A corresponding to the eigenvalue λ.

Then, we have:

Av = λv

Taking transpose on both sides we have:

\(v^T A^T = \lambda v^T\)

The above equations thus relates transpose of vector and transpose of A to λ.

Now, consider a matrix:

\(\left[\begin{array}{cc}1&2\\3&4\\\end{array}\right]\)

Now, the eigen values of this matrix are λ1 = -0.37 and λ2 = 5.37.

The eigenvectors are:

\(v1 = [-0.8246, 0.5658]^T\\v2 = [-0.4159, -0.9094]^T\)

Now, for transpose of A:

\(A^T=\left[\begin{array}{cc}1&3\\2&4\\\end{array}\right]\)

The eigen vectors are:

\(u1 = [-0.7071, -0.7071]^T\\u2 = [0.8944, -0.4472]^T\)

Hence, we see that, if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

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Math is hard.

Whats 9 + 10 = ????

Answers

Answer:

19

Step-by-step explanation:

im jumping off a bridge

Answer:

the answer in 19

Step-by-step explanation:

use Ur brain

This graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.
Does the system of inequalities have solutions? If so, which region contains
the solutions?
A
B
10-8
-8.24
2
4
8
8
10
с
-9
- 10
C
A. There is a solution, and it is shown by region B.
B. There is a solution, and it is shown by region A.
u
0
C. There is no solution.
(
D. There is a solution, and it is shown by region C.

This graph shows the solutions to the inequalities y&gt; 3x + 14 and y&lt; 3x + 2.Does the system of

Answers

Answer:

C

Step-by-step explanation:

The is No solution of the inequality.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the inequality  y> 3x + 14 and y< 3x + 2.

As, we have the graph where the inequality y> 3x + 14 is shown by Blue region.

and,  the inequality y< 3x + 2 is shown by Red region.

Usually the graphical solution is get by the intersection of two inequalities.

But there is no intersection then there no solution.

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what is 40% less than 70​

Answers

Answer is 42. 70 x .4 =28. 70-28

The accompanying data are from the article "Characteristics of Buyers of Hybrid Honda Civic IMA: Preferences, Decision Process, Vehicle Ownership, and Willingness-to-Pay" (Institute for Environmental Decisions, November 2006). Each of 306 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not.Suppose one of these 306 individuals is to be selected at random.a. Find the following probabilities:i. P(male)ii. P(hybrid)iii. P(hybrid|male)iv. P(hybrid|female)v. P(female|hybrid)b. For each of the probabilities calculated in Part (a), write a sentence interpreting the probability. c. Are the probabilities P(hybrid|male) and P(male|hybrid) equal? If not, write a sentence or two explaining the difference between these two probabilities.

Answers

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

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Need help with the questions

Need help with the questions

Answers

1. Calculating the output when using -6 as the input, we have:

Rule 1: subtract 7  = -13

Rule 2: square the input = 36.

Rule 3: divide by 3 = 12

Rule 4: divide the input into 3 = -2

Rule 5: write π = -2π

Rule 6: volume of a cube = -216cm³

What is function rule?

A function rule is a mathematical expression that describes how to calculate the output value of a function based on its input value. It can be thought of as a set of instructions that tell you what to do with the input value to get the output value.

2. a. True. Speed is the ratio of distance traveled to the time taken to travel that distance. In this case, the distance is fixed at 100 meters, so speed is solely dependent on time. For each value of time, there is only one corresponding value of speed, making it a function.

b. False. While time and distance are related in the formula for speed, time is not a function of distance in this case. Each student's time is independent of the distance they cover, and the same distance is covered by all students (100 meters). Therefore, for any given distance, there are multiple possible values of time, making it not a function.

c. False. The number of students racing is not related to their speed. Each student's speed depends solely on their individual time, which is not affected by the number of other students racing.

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Solve for x . 955=5x

Answers

Answer:

191

Step-by-step explanation:

955 = 5x

divide both sides by 5 to get x by itself

x = 191

Brainliest giving to who gets this CORRECT first. Check all that apply.

Brainliest giving to who gets this CORRECT first. Check all that apply.

Answers

Answer:

B and E

Step-by-step explanation:

You can start by moving everything to one side and solving the quadratic equation:

\(x^2+7x-18=0\)

Factoring:

\((x+9)(x-2)=0\)

x=2,-9, or answer choice B and E. Hope this helps!

Answer:

B and E

Step-by-step explanation:

how much food can this container

Answers

add picture please for this answer

What is the result of isolating y^2 in the equation below? 4x^2 + 25y^2= 100

Answers

Answer:

In factored form: \(y=\sqrt{-\frac{1}{25}(2x-10)(2x+10)}\)

In standard form: \(y=\sqrt{-\frac{4}{25}x^2+4}\)

Step-by-step explanation:

Generally for these type of equations we want to get the term with "y" by it self (ignoring coefficients and any operations such as square root, etc...) so we want to get rid of the \(4x^2\) from the left side which we can do by subtracting this from both sides to maintain equality and get rid of it on the left side.

\(25y^2=-4x^2+100\)

One thing I want to note here is we can actually factor the right side which we generally want to do, we can rewrite it as: \(-(4x^2-100)\) and from here we have a difference of squares: \(a^2-b^2=(a-b)(a+b)\) so we can rewrite this as: \(-(2x-10)(2x+10)\)

\(25y^2=-(2x-10)(2x+10)\)

From here we divide both sides by 25:

\(y^2=-\frac{1}{25}(2x-10)(2x+10)\)

Now from here to get rid of that square we do the inverse which is taking the square root:

\(y=\sqrt{-\frac{1}{25}(2x-10)(2x+10)}\)

The reason factoring is useful in this case is we can now easily determine the domain of the function since inside the square root we have a quadratic which is opening down meaning it's only not negative between the zeroes (including the zeroes since they're... zero not negative) and this would be the domain of the graph. But if we wanted it to not be in factored form we would just put back what we had so we would have:

\(y=\sqrt{-\frac{1}{25}(4x^2-100)}\)

then distribute the -1/25 to get:

\(y=\sqrt{-\frac{4}{25}x^2+4}\)

What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?

i included pictures please help it closes in 30 minutes pls give exact answers

What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?i included pictures
What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?i included pictures

Answers

Answer:

For the first part

1.) Negative

2.)zero

3.) undefined

4.) positive

The point slope formula is y-y1=m(x-x1). It is best to use if you already know the slope and one other point on the line. It is used to find another point on the line.

The slope-intercept form is used to show a line. To use this form, you need to know the slope and the y-intercept.

The slope formula is y=mx+b. M is the slope while b is the y-intercept.

what is the difference in length between the longest ski Trail and the shortest ski trail that the longest ski Trail is 3 1/8 the shortest ski Trail is 1 3/8 ​

Answers

The difference in length is 1 3/4 or 1.75.

hope this helps!

The difference in length between the longest ski trail and the shortest ski trail is 7/4.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Length of the longest ski trail = 3 1/8 = 25/8

Length of the shortest ski trail = 1 3/8 = 11/8

Difference in length between the longest ski trail and the shortest ski trail:

= 25/8 - 11/8

= 14/8

= 7/4

Thus, the difference in length between the longest ski trail and the shortest ski trail is 7/4.

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Need help placing in correct spot

Need help placing in correct spot

Answers

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

How to find angles in parallel lines?

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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What are the coordinates of the image of vertex F after
a reflection across the line y=-X?
0 (-1, -3)
O (3, -1)
O (1,3)
O (-3,1)

Answers

The coordinates of the image of vertex F after a reflection across the line y=-x is (3,-1)

How to determine the coordinates?

From the question, the coordinates of the vertex F are:

F = (1,3)

When reflected across the line y = -x, the coordinates become

F' =  (3,-1)

Hence, the coordinates of the image of vertex F after a reflection across the line y=-x is (3,-1)

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15+25*a*45/76=

What dose a =

Answers

Answer:

\(\boxed{\sf\:\frac{15\left(75a+76\right)}{76}}\)

Step-by-step explanation:

15 + 25 * a * 45/76

= \(\sf\:15 + 25 \times a \times \frac { 45 } { 76 }\)

= \(\sf\:15+\frac{25\times 45}{76}a \)

= \(\sf\:15+\frac{1125}{76}a \)

= \(\boxed{\tt\:\frac{15\left(75a+76\right)}{76}}\)

Hope it helps ⚜

7 7/8 - 3 1/4 =? What’s the answer

Answers

Answer:

4 5/8

Step-by-step explanation:

7 7/8= 63/8

3 1/4= 13/4= 26/8

63/8 - 26/8= 37/8

37/8= 4 5/8

PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION

PLEASE HELP METhe function f(x) = -2(4)^x+1 +140 represents the number of tokens a child has x hours

Answers

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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f(x)=-1/2x+3. G is a quadratic function with the following properties: g has lesser y-intercept than f; the maximum value of g and y-intercept are not equal; first g increases and the it decreases. Graph function g

Answers

The equation is  \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)  Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

Define the term graph?

To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.

To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:

\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)

Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

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f(x)=-1/2x+3. G is a quadratic function with the following properties: g has lesser y-intercept than

QUESTIONS IN PICTURE/ATTACHMENT:

QUESTIONS IN PICTURE/ATTACHMENT:

Answers

The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

How to find the domain and range of the graph?

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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