Find the equation of the graph in function notation. Name your function “a” and use x as your variable.
The required equation is y = 2x + 2.
Given is graph of a line passing through (0, 2) and (-1, 0) we need to find the equation of the line,
So, we know that the line passing through two points, (x₁, y₁) and (x₂, y₂) is given by =
y - y₁ = y₂ - y₁ / x₂ - x₁ (x-x₁)
Here we have (x₁, y₁) and (x₂, y₂) = (0, 2) and (-1, 0)
So,
y - 2 = 0-2 / -1-0 (x-0)
y - 2 = 2 x
y = 2x + 2
Hence the required equation is y = 2x + 2.
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3/8 (3/4+5/6) - 1/2
Answer:
3/32
Step-by-step explanation:
1. 3/8 (3/4 + 5/6) - 1/2
2. 3/8 x 19/12 - 1/2
3. 19/32 - 1/2
4. 3/32
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
First, you do the operation order. In this equation, parentheses goes first. You add the fractions to get 19/12.
Then, we multiply the sum from the parentheses and 3/8, 19/32.
Finally, we subtract the product we got from the parentheses and 3/8 with 1/2, each lead us to our final answer 3/32.
~~~Hope this helps~~~
Mike sold H hats. Nate sold three times as many hats as Mike. Write an expression for the number of hats Nate sold.
answer:
h3
Step-by-step explanation:
H raise to power 3
If g(x)=−3x^2+2x−7, Find g(4)
Answer:
-143
Step-by-step explanation:
We have to substitute 4 into x.
g(4) = -3(4)^2 + 2(4) - 7
g(4) = -12^2 + 8 - 7
g(4) = -12^2 + 1
-144 + 1
-143
-47
Step-by-step explanation:
= -3(4)^2 +2(4) -7
= (-3×16) +8 - 7
= -48+8-7
= -40-7
= -47
pls answer I give brainliest
Answer:
0.036
Step-by-step explanation:
0.9 x 0.04 = 0.036
Answer:
0.04
Step-by-step explanation:
you just divide to get the answer :)
What is the measure of n?
12
n =[?]√
A certain rectangular tarp covers 200 square meters. Its width is 20
meters. How long is the tarp?
Answer:
10 meters
Step-by-step explanation:
You want the length of a 200 square meter tarp that has a width of 20 meters.
AreaThe area of a rectangle is given by ...
A = LW
ApplicationFilling in known values, we have ...
200 m² = L · (20 m)
L = (200 m²)/(20 m) = 10 m . . . . . . . divide by the coefficient of L
The tarp is 10 meters long.
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What are quadratic equations? What are some examples?
Answer:Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc. From these examples, you can note that, some quadratic equations lack the term “c” and “bx.”
Step-by-step explanation:
A quadratic equation in the variable x is an equation of the form ax^2 + b x + c = 0, where a, b, c are real numbers, a ≠ 0.
What are quadratic equations?Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.
The standard form of a quadratic equation is;
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c where a, b, c, ∈ R and a ≠ 0.
These are the following examples of the quadratic equation;
x^2-2x
x^2+5x+6
x^2-5x
Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation.
If we write the terms of p (x) in decreasing order of their degrees, then we get the standard form of the equation.
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Write 0.8
as a fraction.
thank youuu
Answer:
8/9
Step-by-step explanation:
The other answer is wrong because the problem is asking for the fraction form of 0.8 repeating, not just 0.8.
if you are asked to evaluate the adequacy of the sample size, the type of confirmation used, and the percent of accounts confirmed, what additional information will you need?
The additional information needed to evaluate the adequacy of the sample size, the type of confirmation used, and the percent of accounts confirmed will depend on the specific context of the study or investigation.
In general, some important pieces of information to consider may include the size and diversity of the population being studied, the level of accuracy or precision desired, the expected effect size or variability of the variables being examined, and any potential biases or confounding factors that could impact the results. Additionally, information about the study design, sampling method, and data analysis techniques may also be important to consider.
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Does the transformation appear to be a rigid motion? Explain.
Answer: No.
Step-by-step explanation: In order for a motion to be considered "rigid", it must undergo a transformation or rotation in which the distance between the vertices does not change. The distance between the vertices becomes larger in the image, meaning this is not a rigid motion.
Good luck!
help please no one is answering :(
Answer:
59.49
Step-by-step explanation:
total number of students who don like mountain+don like beach =56+38+94=188
total number of students=92+66+158=316
probability percentage =(total no. of favorable events/total number of events) x 100
=188/316 x 100
=59.49 ~ 59.5%
Answer:
B
Step-by-step explanation:
I- are you on a test? If yes then i rlly cant help you.
JK I LIED IGHT SO ITS
could someone please answer only 22 for me please, don’t understand
Answer:
p = 10
Step-by-step explanation:
3p + 10 + 5p = 90
8p + 10 = 90
90 - 10 = 80
80 / 8 = 10
determine whether the ratios are equivalent. 4 7 and 8 11
Answer:
answer is the ratios are not equivalent or not in proportion
Step-by-step explanation:
you can find it by crops multiplication
4/7
8/11
4*11
8*7
44=56
Therefore it is not in proportion
Answer: 4 : 7 = 8 : 14
8 : 11 = 16 : 22
Step-by-step explanation:
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
In the diagram of triangle ABC below, AB = AC. Themeasure of ZB is 40°.What is the measure of ZA?
we have AB=AC, therefore the measure of \(\angle B=40^{\circ}=\angle C\)then
the sum of the angles of a triangle is 180°,
\(\begin{gathered} \angle A=180-\angle B-\angle C \\ \angle A=180-40-40 \\ \angle A=100 \end{gathered}\)the measure of
An iterative procedure is used to find the root of a nonlinear equation. The absolute relative approximate error is found to be 0.004%. How many significant digits are at least correct in your answer
An iterative procedure is used to find the root of a nonlinear equation.
The absolute relative approximate error is found to be 0.004%. The number of significant digits that are correct can be calculated as follows: Suppose that r is the actual root, and x is the approximation that has been obtained. Then, the absolute error is :abs(r-x)And, the relative error is: abs(r-x)/r Hence, the absolute relative approximate error (arae) can be written as follows:|r - x|/|r| = 0.004%, which implies |r - x| = 0.004% |r| Divide both sides by
|r|:|r - x|/|r| = 0.00004|r|/|r| - |x|/|r| = 0.00004,
Divide both sides by 0.00004:|x|/|r| - 1 = 0.00004,
This can be rewritten as:|x| = |r| (1 + 0.00004),
Thus, the number of significant digits that are at least correct can be calculated using the following formula:
log10 (|x|/|r|) = log10 (1.00004) ≈ 0.00004
There is at least one significant figure in the answer.
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Please help thanks!
Answer:
5
Step-by-step explanation:
=14 + 6^2 ÷ (-4)
=14 + 36 ÷ (-4)
divide 36 by -4
=14 + (-9)
=14 - 9
=5
HELP
According to the Rational Root Theorem, Negative 2/5 is a potential rational root of which function?
f(x) = 4x4 – 7x2 + x + 25
f(x) = 9x4 – 7x2 + x + 10
f(x) = 10x4 – 7x2 + x + 9
f(x) = 25x4 – 7x2 + x + 4
Answer: Answer is f(x) = 25x4 - 7x2 + x + 4
Step-by-step explanation:
Answer:
d on edg
Step-by-step explanation:
what is the difference between square units and cubic units
The difference between square units and cubic units lies in the dimensionality of the objects being measured.
Square units are used to measure the area of a two-dimensional shape, such as a square or rectangle. The unit for square units is typically written as "square" followed by the abbreviation for the unit being used. For example, square inches (in²), square meters (m²), or square centimeters (cm²).
To find the area of a shape, you multiply the length of one side by the length of another side. For example, if you have a square with side length of 4 units, the area would be 4 units multiplied by 4 units, which equals 16 square units.
On the other hand, cubic units are used to measure the volume of a three-dimensional object, such as a cube or rectangular prism. The unit for cubic units is typically written as the abbreviation for the unit being used cubed. For example, cubic inches (in³), cubic meters (m³), or cubic centimeters (cm³).
To find the volume of a shape, you multiply the length, width, and height of the object. For instance, if you have a cube with a side length of 3 units, the volume would be 3 units multiplied by 3 units multiplied by 3 units, which equals 27 cubic units.
In summary, square units measure the area of a two-dimensional shape, while cubic units measure the volume of a three-dimensional object. It's important to pay attention to the dimensionality of the object being measured in order to use the appropriate units.
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Explain the difference between 9 square units and 9 cubic units?
To the nearest whole percent, what is the value of a in the relative frequency table for the survey results? a = 27% a = 42% a = 81% a = 88%
Answer:
a=27%
Step-by-step explanation:
-lukelaws
tell me if it helped
Answer:
A
Step-by-step explanation:
Equals 27 percent
I took the test and go it right
Cameron completed the construction below .which of the following is the correct construction name and statement ?
Answer:
The correct option is the last one(mStep-by-step explanation:
Segment BF bisects the angle ABC.
This means that the measures of angles FBC and ABF is the same, and the sum of them is the measure of angle AEC. Also, it means that each of these angles is half of AEC.
So, the correct option is the last one
“Write a proof to show that the triangles are congruent.”
The given triangles ABD and CBD are congruent because their corresponding sides and angles are equal.
What are congruent triangles?Congruent triangles are two triangles that have exactly the same size and shape. In other words, all corresponding sides and angles of the two triangles are equal.
There are several ways to show that two triangles are congruent, including:
Side-Side-Side (SSS) Congruence: If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
Side-Angle-Side (SAS) Congruence: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.
Angle-Side-Angle (ASA) Congruence: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.
In the given triangles ABD and CBD, each of their angles is 60⁰, since the triangles are equilateral, so the triangles are congruent.
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What would be the degree of financial leverage for Foggy Futures Weather Forecasters if the company has earnings before interest and taxes of $750,000, has a 4. 5% loan on $1,000,000, and is in the 38% tax bracket? The firm does not have any preferred stock outstanding. A. 1. 22 b. 0. 97 c. 1. 06 d. 1. 78
The degree of financial leverage for Foggy Futures Weather Forecasters
is 1.06
Degree of Financial leverage (DFL) = (EBIT) / (EBT)
Earnings Before Interest and Taxes (EBIT) = $750,000
Amount to be given as loan on $1000000
$1,000,000 x 4.5% = $1,000,000 x 4.5/100
= $45000
To find EBT ( Earnings Before Tax),
EBT = EBIT - 45000
= 750000 - 45000
EBT = 705000
∴ DFL = (EBIT) / (EBT)
= 750000/705000
DFL = 1.06
The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).
Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve
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Scientists determined that the cause of death in many prawns off the coast of Chile was a nutrient deficiency. So, they set out to determine if the distribution of plants in the ocean near the coast was out of proportion when compared to the ideal environment: 40% Kelp, 25% Phytoplankton, 25% Coral and 10% Other (mostly nutrient-low seaweed). In randomly chosen areas along the coast, they sampled 240 plants.
KELP PHYTOPLANKTON CORAL OTHER
84 67 57 32
In an ideal environment how many of the 240 plants would you expect to be Kelp?
If a goodness of fit test is conducted, what is the null Hypothesis?
If a goodness of fit test is conducted, what is the alternative Hypothesis?
What is the probability of getting the observed values or values as extreme from the ideal?
Is there enough evidence to conclude that the environment for prawns is not ideal? Base this conclusion on p-value and a level of significance of 0.05 or 5%.
Answer:
Step-by-step explanation:
Three friends, Jessa, Tyree, and Ben, are collecting canned food for a culinary skills class. Their canned
food collection goal is represented by the expression 7x? - 4xy + 6. The friends have already collected
the following number of cans:
Jessa: 2x2
Tyree: 3x2 - 4
Ben: 3xy + 6
Part A: Write an expression to represent the amount of canned food collected so far by the three
friends. Show all your work. (5 points)
Part B: Write an expression that represents the number of cans the friends still need to collect to meet
their goal. Show all your work. (5 points)
Answer: Your welcome!
Step-by-step explanation:
Part A: 2x^2 + 3x^2 - 4 + 3xy + 6 + 6 = 7x^2 - 4xy + 6
Part B: 0 = 7x^2 - 4xy + 6 - (2x^2 + 3x^2 - 4 + 3xy + 6 + 6)
= 0 = 5x^2 - 4xy
A) The expression that represents the amount of canned food collected by the three friends is \(5x^2 + 3xy + 2\).
B) The expression that represents the number of cans the friends still need to collect to meet their goal is \(2x^2 - 7xy + 4\).
Given: Number of cans collected
Jessa: 2x²
Tyree: 3x² - 4
Ben: 3xy + 6
Goal : \((7x^2 - 4xy + 6)\)
A) The total amount collected:
Total = Jessa + Tyree + Ben
= \(2x^2 + (3x^2 - 4) + (3xy + 6)\)
= \(2x^2 + 3x^2 - 4 + 3xy + 6\)
= \((2x^2 + 3x^2 + 3xy) + (-4 + 6)\)
= \(5x^2 + 3xy + 2\)
Therefore, the expression is \(5x^2 + 3xy + 2\).
B) The number of cans the friends still need to collect to meet their goal is
Cans still needed = Goal - Total
\(= (7x^2 - 4xy + 6) - (5x^2 + 3xy + 2)\)
\(= 7x^2 - 4xy + 6 - 5x^2 - 3xy - 2\)
\(= (7x^2 - 5x^2) + (-4xy - 3xy) + (6 - 2)\)
\(= 2x^2 - 7xy + 4\)
Therefore, the expression is \(2x^2 - 7xy + 4\).
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On the subway 8 out of 12 people are carrying a briefcase. Based on this information, if there are 96 people on the subway, then how many would have a briefcase?
Answer: 64
Step-by-step explanation:
If 8 out of 12 people on the subway are carrying a briefcase, it means that the fraction of people carrying a briefcase is 8/12 or 2/3.
If there are 96 people on the subway, we can use this fraction to determine how many of them are carrying a briefcase. We can set up a proportion:
2/3 = x/96
where x is the number of people carrying a briefcase. To solve for x, we can cross-multiply:
2 * 96 = 3 * x
192 = 3x
x = 64
Therefore, if there are 96 people on the subway and 8 out of 12 people are carrying a briefcase, then 64 people would have a briefcase.
If 8 out of 12 people are carrying a briefcase, then the proportion of people carrying a briefcase is 8/12 or 2/3.To find out how many people out of 96 would have a briefcase, we can set up a proportion:2/3 = x/96To solve for x, we can cross-multiply:2(96) = 3x192 = 3xDividing both sides by 3:x = 64Therefore, out of 96 people on the subway, 64 would be carrying a briefcase
Let x be a discrete random variable. if pr(x<6) = 1/7, and pr(x>6) = 1/4, then what is pr(x=6)?
Answer:
\(pr(x=6)=\frac{17}{28}\)
Step-by-step explanation:
Well the probabilities should all up to 1. This means pr(x<6) + pr(x=6) + pr(x>6) = 1.
So plugging in the known values we get: \(\frac{1}{7} + pr(x=6) + \frac{1}{4}=1\)
To make things easier, let's multiply the 1/7 by 4/4 and 1/4 by 7/7
\(\frac{4}{28}+pr(x=6)+\frac{7}{28}=1\)
Now combine like terms: \(pr(x=6)+\frac{11}{28}=1\)
Subtract 11/28 from both sides
\(pr(x=6)=\frac{17}{28}\)
What is the equation of a parabola with vertex (-2,1) and a=-4
y= 4(x + 1)^2 – 2
y= –2(x – 1)^2 – 4
y= -4(x + 2)^2 + 1
y = -4(x – 2)^2 + 1
2-3 Additional Practice
Parallel Lines and Triangle Angle Sums
For Exercises 1-6, find the value of each variable.
Answer/Step-by-step explanation:
1. 180° - (92° + 63°) = x (sum of angles in a ∆)
180° - 155° = x
25° = x
x = 25°
2. 180° - (20° + 87°) = x (sum of interior angles in a ∆)
180° - 107° = x
73° = x
x = 73°
3. 180° - (80° + 40°) = x (sum of interior angles in a ∆)
180° - 120° = x
60° = x
x = 60°
4. 180° - (28° + 85°) = x (sum of interior angles in a ∆)
180° - 113° = x
67° = x
x = 67°
180° - 67° = y (angle in a straight line)
113° = y
y = 113°
180° - (113° + 15°) = x (sum of interior angles in a ∆)
180° - 128° = z
73° = z
z = 52°
5. 180° - (24° + 57°) = z (sum of interior angles in a ∆)
180° - 81° = z
99° = z
z = 99°
180° - 99° = y (angle in a straight line)
81° = y
y = 81°
180° - (81° + 43°) = x (sum of interior angles in a ∆)
180° - 124° = x
56° = x
x = 56°
6. The figure for question is not fully displayed. Follow the same steps used in solving from question 1 to 5.
The angles in a triangle add up to 180 degrees
The value of x is 25The value of x is 73The value of x is 60The values of x, y and z are 67, 113 and 180The values of x, y and z are 56, 81 and 99The values of x, y and z are 54, 114 and 6Exercise 1
We have:
\(\mathbf{x + 92 + 63 = 180}\) --- sum of angles is 180
\(\mathbf{x + 155 = 180}\)
Subtract 155 from both sides
\(\mathbf{x = 25}\)
Hence, the value of x is 25
Exercise 2
We have:
\(\mathbf{x + 20 + 87 = 180}\) --- sum of angles is 180
\(\mathbf{x + 107 = 180}\)
Subtract 107 from both sides
\(\mathbf{x = 73}\)
Hence, the value of x is 73
Exercise 3
We have:
\(\mathbf{x + 80 + 40 = 180}\) --- sum of angles is 180
\(\mathbf{x + 120 = 180}\)
Subtract 120 from both sides
\(\mathbf{x = 60}\)
Hence, the value of x is 60
Exercise 4
First, we calculate the value of x using:
\(\mathbf{x + 85 + 28 = 180}\) --- sum of angles is 180
\(\mathbf{x + 113 = 180}\)
Subtract 113 from both sides
\(\mathbf{x = 67}\)
x and y are on a straight line.
So, we have:
\(\mathbf{y = 180 - x}\) --- supplementary angles
\(\mathbf{y = 180 - 67}\)
\(\mathbf{y = 113}\)
Calculate the value of z using:
\(\mathbf{z + y + 15 = 180}\) --- sum of angles is 180
\(\mathbf{z + 113 + 15 = 180}\)
\(\mathbf{z + 128 = 180}\)
Subtract 128 from both sides
\(\mathbf{z = 52}\)
Hence, the values of x, y and z are 67, 113 and 180
Exercise 5
First, we calculate the value of z using:
\(\mathbf{z + 57 + 24 = 180}\) --- sum of angles is 180
\(\mathbf{x + 81 = 180}\)
Subtract 81 from both sides
\(\mathbf{z = 99}\)
z and y are on a straight line.
So, we have:
\(\mathbf{y = 180 - z}\) --- supplementary angles
\(\mathbf{y = 180 - 99}\)
\(\mathbf{y = 81}\)
Calculate the value of x using:
\(\mathbf{x + y + 43 = 180}\) --- sum of angles is 180
\(\mathbf{x + 81 + 43 = 180}\)
\(\mathbf{x + 124 = 180}\)
Subtract 128 from both sides
\(\mathbf{x = 56}\)
Hence, the values of x, y and z are 56, 81 and 99
Exercise 6
First, we calculate the value of z using:
\(\mathbf{z + 84 + 30 = 180}\) --- sum of angles is 180
\(\mathbf{x + 114 = 180}\)
Subtract 114 from both sides
\(\mathbf{z = 66}\)
z and y are on a straight line.
So, we have:
\(\mathbf{y = 180 - z}\) --- supplementary angles
\(\mathbf{y = 180 - 66}\)
\(\mathbf{y = 114}\)
Calculate the value of x using:
\(\mathbf{x + y + 12 = 180}\) --- sum of angles is 180
\(\mathbf{x + 114 + 12 = 180}\)
\(\mathbf{x + 126 = 180}\)
Subtract 126 from both sides
\(\mathbf{x = 54}\)
Hence, the values of x, y and z are 54, 114 and 6
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I don't get the problem! No links please!
Answer:
5
Step-by-step explanation: