Which of the following exponential functions represents the graph below?
X
-
A. f(x) = 2•4*
B. f(x) = 4•2*
C. f(x) = 2•(1/4)*
D. f(x) - 4•(1/2)*

The required problem can be stated as the sum of a number and 4 is 10.

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
To write a word a problem can be translated into the equation x + 4 = 10. So, the problem can be given as " the required problem can be stated as the sum of a number, and 4 is 10."

Thus, the required problem can be stated as the sum of a number, and 4 is 10.

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The answer that you are looking for is b) 5(a – 2)(a – 4). In order to factor the formula, we must first locate two numbers whose sum is equal to -30 and whose product is equal to 40. Both constraints are met by the values -4 and -10, and as a result, we are able to factor the statement as 5(a – 2)(a – 4).(option b)

The following procedures can be used by us while factoring polynomials:

Find two numbers that, when added together, give you the coefficient of the middle term, and then multiply those two values by themselves to get the constant term.

Create the expression as the product of two binomials, with each binomial having one of the two numbers discovered in step 1. Write the equation as a product of two binomials.

Eliminate any factors that are frequent.

In this particular instance, the coefficient of the intermediate term is -30, while the value of the constant term is 40. When added together, the numbers -4 and -10 equal -30, and when multiplied together, they equal 40. Therefore, the expression can be factored as 5(a minus 2)(a minus 4).

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Answer:

92

Step-by-step explanation:

Multiply 4 and 23:

4 * 23 = 92

Answer:

m∠QPT = 32°

Step-by-step explanation:

∠QPT and ∠SPR are vertical angles, meaning that the measure of their angles are congruent (the same).

Vertical angles are formed when two lines intersect, creating opposite angles. Those opposites are congruent (equal).

Step 1: Set the measure of the angles to equal each other.

\(\implies m \angle QPT = m \angle SPR\)

\(\implies (2x+12) = (4x - 8)\)

Step 2: Subtract 4x from both sides.

\(\implies 2x-4x+12 = 4x - 4x - 8\)

\(\implies -2x+12 = - 8\)

Step 3: Subtract 12 from both sides.

\(\implies -2x+12-12 = - 8-12\)

\(\implies -2x = -20\)

Step 4: Divide both sides by -2.

\(\implies \dfrac{-2x}{-2} = \dfrac{-20}{-2}\)

\(\implies x = 10\)

Step 5: Find the measure of ∠QPT by substituting 10 for x.

\(\implies [2(10)+12]^{\circ}\)

\(\implies 32^{\circ}\)

Therefore, the measure of ∠QPT is 32°.

Solution: simon has 300 + 24 so 324/540 can be simplified to

Answer : 3/5

Answer:

18 tables: $143

t tables: $35 + $6t

Step-by-step explanation:

35 + 6t

35 + 6(18) = 35 + 108 = 143

The value of b = -3/2 and c = -5/4

To write the quadratic x² - 3x + 1 in the form (x + b)² + c, we can expand (x + b)² and compare it to the given expression:

(x + b)² = x² + 2bx + b²

Comparing this to the given expression x² - 3x + 1, we see that we need:

2bx = -3x, so b = -3/2

b² + c = 1, so substituting b = -3/2 gives:

(9/4) + c = 1

so c = 1 - 9/4

= 4/4 - 9/4

= -5/4

The quadratic x² - 3x + 1 can be written in the form (x - 3/2)² + ( - 5/4).

Therefore, the value of b = -3/2 and c = -5/4

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Given question is incomplete, the complete question is below

the quadratic x²-3x + 1 can be written in the form (x +b)² + c, where b and c are constants. what is b, c?

In a case whereby After watching baking shows on T.V., Suzie signs up for a cake-decorating class.  Suzie puts 3 sugar flowers on each cupcake. In all, Suzie puts 36 sugar flowers on the cupcakes. The equation can you use to find the number of cupcakes c Suzie decorates is 3c= 36.

Based on the condition that is been given from the question, the formula can be written as 3c= 36

If we divide both sides by 3, we have (C= 12) which implies that  Suzie puts 3 sugar flowers on each cupcake.

Therefore, the equation is 3c= 36

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Using mathematical operations, we know that the drop in temperature in each hour is 2°C, and the operations which represent this is 10/5 = 2°C.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation."

The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

So, the operation that represents the change in temperature:

Time taken is 5 hours.

The temperature drop is 10°C.

The same amount of temperature in each hour.

Then, the operation will be:

10/5 = 2°C

Therefore, using mathematical operations, we know that the drop in temperature in each hour is 2°C, and the operation which represents this is 10/5 = 2°C.

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The measures of central tendency of the dot plot is:

Range = 6

Mode: 5.5 and 6

Median is 6

A measure of central tendency is defined as a single value that explains the way by which a group of data cluster near the center value. In other words it is the center of data set.

The range is the difference between the highest and lowest values of the dataset. Thus:

Range = 11 - 5

Range = 6

Mode is defined as the term that has the most frequency of occurrence. Thus, the mode of the dot plot is:

5.5 and 6

The median is defined as the middle term when arranged in ascending or descending order:

5, 5, 5.5, 5.5, 5.5, 5.5, 6, 6, 6, 6, 6.5. 6.5, 7, 7, 7.5, 8, 8, 9, 11

Thus, the median is 6

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To apply the Laplace operator to the function h(x, y, z) = e^(-4x)sin(9y), we need to calculate the second partial derivatives with respect to each variable (x, y, z) and then sum them up. The Laplace operator is denoted as Δ or ∇^2 and is defined as the divergence of the gradient of a function.

Let's begin by calculating the partial derivatives:

∂h/∂x = -4e^(-4x)sin(9y)

∂²h/∂x² = (-4)^2e^(-4x)sin(9y) = 16e^(-4x)sin(9y)

∂h/∂y = e^(-4x)9cos(9y)

∂²h/∂y² = e^(-4x)9(-9)sin(9y) = -81e^(-4x)sin(9y)

∂h/∂z = 0

∂²h/∂z² = 0

Now, summing up the second partial derivatives:

Δh = ∂²h/∂x² + ∂²h/∂y² + ∂²h/∂z²

   = 16e^(-4x)sin(9y) - 81e^(-4x)sin(9y) + 0

   = (16 - 81)e^(-4x)sin(9y)

   = -65e^(-4x)sin(9y)

Therefore, the Laplacian of the function h(x, y, z) = e^(-4x)sin(9y) is given by -65e^(-4x)sin(9y).

The Laplacian operator is commonly used in various areas of mathematics and physics, such as differential equations and signal processing. It represents the sum of the second-order partial derivatives of a function and provides valuable information about the behavior of the function in the given domain. In this case, the Laplacian of h(x, y, z) describes the spatial variation of the function and indicates the rate at which the function changes at a specific point (x, y, z) in three-dimensional space.

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The midpoint of diagonal PR is: B. (5, 4).

The midpoint of diagonal QS is: D. (5, 4).

The midpoint of the diagonals: E. coincide.

This implies that the diagonals of the parallelogram PQRS G. are equal to each other.

In order to determine the midpoint of a line segment with two (2) end points, we would add each end point together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

For line segment PR, we have:

Midpoint of PR = [(4 + 6)/2, (7 + 1)/2]

Midpoint of PR = [10/2, 8/2]

Midpoint of PR = [5, 4].

For line segment QS, we have:

Midpoint of QS = [(8 + 2)/2, (7 + 1)/2]

Midpoint of QS = [10/2, 8/2]

Midpoint of QS = [5, 4].

In conclusion, we can reasonably infer and logically deduce that the midpoint coincides and the diagonals of parallelogram PQRS are equal to each other.

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Answer:

This is true, because -9-1=-10 and 2/3 times -15/1 is -30/3 or -10. Now we are setting -10 is equal to -10 and that is true.

Answer:

-10=-10

Step-by-step explanation:

-9-1 =2/3(-15)

-9-1 = - 2/3×15

(cancel the /3 and 15)

-9-1 = -2×5

-10 = -10

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = 2/3x + 4

2x - 3y = -12

Step 2: Solve for x

Substitution

Here we see that -12 does indeed equal -12.

Therefore, our x would equal infinite amount of solutions.

Step 3: Graph systems

Check the systems.

We see that the 2 lines are the same.

Answer: a. 21 terms

b. 798

Step-by-step explanation:

a. 68-8=60 ==> difference between 1st and last term

60/3=20 ==> number of terms after the first term

20+1=21 terms ==> total number of terms

b. Find the mean of the terms first:

(68+8)/2=    ==> the mean of all terms in a sequence is equal to the mean of the first and last term

76/2=38

38*21=798   ==> add the mean 21 times to get the total sum since there are 21 terms in the sequence.

Answer:

Step-by-step explanation:

< UTY + <RWX = 180°

( same side interior angle theorem ) → < UTY + <RWX = 180°

Answer:

24%

Step-by-step explanation:

please mark me brainiest hope this helps

The percentage of the shape that is orange is 24%.

To get the percentage of the shape that is orange, we need to find the quotient between the number of orange squares and the total number of squares, and multiply that by 100%.

Then the percentage of the shape that is orange is:

P = (12/50)*100% = 24%

Then we can conclude that 24% of the shape is orange.

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The number of different sets of officers possible is 1716 sets.

The number of sets of officers possible is the number of ways people can be chosen for the given posts.

Since there are 13 people available for the post of president,

The choice can be made in

13 ways.

For the post of the Vice-President, there are 12 likely candidates. Hence, the choice can be made in

12 ways

Similarly for the post of treasurer, there are 11 likely candidates available. Hence, the choice can be made in 11 different ways.

Hence, the total number of sets of officers possible are

13 X 12 X 11

= 1716 sets.

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Answer: Total number of males= C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 + 6 = 15 parts

the sum of the 3 angles in a triangle = 180°

divide this by 15 to find the value of one part of the ratio.

180° ÷ 15 = 12° , then

6 parts = 6 × 12° = 72° ← largest angle in triangle

Answer:305.53 northern route

210.20 southern route

Step-by-step explanation:

Answer:

Answer:305.53 northern route

Step-by-step explanation:

a) The equation y = 12 · x + 89 represents the secant line.

b) The average rate of change of the function g(x) = 6 · x² - 1 is equal to 12.

In this problem find the definition of a polynomic function, of which we must determine the equation of the secant line, that is, a line that passes through two points of the curve. The secant line is described by a polynomial of the form:

y = m · x + b

Where:

And the slope of the secant line is found by the following expression:

m = [f(b) - f(a)] / (b - a)

Where:

First, determine the slope of the secant line:

f(- 3) = 6 · (- 3)² - 1

f(- 3) = 6 · 9 - 1

f(- 3) = 53

f(5) = 6 · 5² - 1

f(5) = 6 · 25 - 1

f(5) = 149

m = (149 - 53) / [5 - (- 3)]

m = 12

The average rate of change is 12.

Second, determine the intercept of the function:

b = y - m · x

b = 53 - 12 · (- 3)

b = 53 + 36

b = 89

Third, write the equation of the secant line:

y = 12 · x + 89

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Answer:

A

Step-by-step explanation:

-4y = -3x + 6

4y = 3x - 6

y = 3/4 x - 6/4

y = 3/4 x - 3/2

The part-to-whole ratio of nickle to all coins is  1:2 . Thus, Option B is correct answer.

Now,

A bag contains 12 quarters, 6 dimes, and 18 nickle coins .

so, Total number of coins = 12+6+18

                                          = 36  coins

Number of nickle coins = 18

Hence , ratio of nickle coin to total coins = (nickel coins) / (total coins)

                                                                    = 18/36

                                                                    = 1/2 = 1:2

So , the part-to-whole ratio of nickel to all coins is 1:2.

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A game that has an equal probability of winning or losing is said to be fair.

What is probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The foundational elements of fair play can be observed and learned both on and off the field, and include honesty, solidarity, tolerance, care, excellence, and joy. Fair competition, respect, camaraderie, team spirit, equality, and sport without doping are also examples.

A simple game of chance is deemed fair if there is an equal chance of winning for each player. If there is an equal chance of selecting each alternative, the decision is fair. Your understanding of probability can help you evaluate the fairness of games and make just decisions.

Children love playing together more when everyone is being fair. Additionally, it plays a significant role in getting along with people.

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Answer:

D

Step-by-step explanation:

in order to get the process of solving the equation, we need to solve it.

our goal to solve the equation 6x-19=77 is to isolate the variable onto one side, and have the numbers (value of x) on the other

we have the equation:

6x-19=77

first, we can get rid of -19 on the left side and leave 6x on that side by adding 19 to both sides (-19+19=0).

The reason why we're adding 19 to both sides is because if we do something to one side, we have to do it to the other side to make sure the value of the equation stays the same.

6x-19= 77

   +19  +19

_________

6x=96

now, we do have the variables on one side and the numbers on another side, but we aren't done yet, as we want the value of x by itself

divide by 6 on both sides

x=16 (because 6x/6=1x, or x. 96/6=16).

the option of D shows the same method I did and has the correct answer as well.

This is what was given for D:

6x-19=77

6x-19+19=77+19

6x=96

6x/6=96/6

x=16

(same thing I did)

So D is the correct answer.

Hope this helps!

Answer:

35 boys

25 girls

Step-by-step explanation:

you will the total number of volunteers and divide that by the total number of "parts" in the ratio (7+5=12)

60 / 12 = 5

you then will multiply your answer (in this case, 5) to each part of the ratio (7 to find the number of boys, & 5 to find the number of girls)

5x7=35 boys

5x5= 25 girls

HOPE THIS HELPS!!!

Answer:

After adding the numbers the result obtained is called the sum.