Solve 4ax + 5ax = 3ax + 6 for x. Assume a ≠0

The range of the function f(x) = 4x + 9 is R = {-7, 1, 9, 17}. Option D is the correct option.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Given function is f(x) = 4x + 9.

The domain of the function is  D = {-4, -2, 0, 2}.

To find the rage of the function putting x = -4, -2, 0, 2 in the given function:

When x = -4

f(-4) = 4(-4) + 9

f(-4) = -16 + 9

f(-4) = -7

When x = 0

f(0) = 4(-0) + 9

f(0) = 0+ 9

f(0) =9

When x = 2

f(2) = 4(2) + 9

f(2) = 8 + 9

f(2) = 17

The set of the value of f(x) at  x = -4, -2, 0, 2 is the range of the function.

The range of the function is R = {f(-4), f(-2), f(0), f(2)} = {-7, 1, 9, 17}

To learn more about the range, click on the below link:

https://brainly.com/question/29114206

#SPJ1

Explanation:

A = 1/2 (4 + 10) 3 = 21 units²

Answer:

B

Step-by-step explanation:

It just is

Answer:

Its b

Step-by-step explanation:

I just took the test. Hope this helps <3

The value of x in the diagram is 9

equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. Just like other types of triangles, an equilateral triangle also has its area, perimeter and height formula

From the diagram all the sides are equal which means it is an equilateral triangle in which each angle is equal to 60°

To find x,

7x -3 = 60

7x = 60 + 3

7x = 63

x = 63/7

x = 9

In conclusion the value of x is 9

Learn more about equilateral triangle: https://brainly.com/question/2351368

#SPJ1

Answer:

hope this will help you more

The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.

Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.

It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.

To learn more about convenience sampling, click here:

https://brainly.com/question/5997269

#SPJ4

Answer:

d = 14

Step-by-step explanation:

\( \sin \: 45 \degree = \frac{a}{7 \sqrt{2} } \\ \\a = 7 \sqrt{2} \sin \: 45 \degree \\ \\ a = 7\sqrt{2} \times \frac{1}{ \sqrt{2} } \\ \\ a = 7 \\ \\ \sin \: 30 \degree = \frac{a}{d} \\ \\ \frac{1}{2} = \frac{7}{d} \\ \\ d = 2 \times 7 \\ \\ d = 14\)

Answer:14

Step-by-step explanation:opposite angle

Answer:

z=30

Step-by-step explanation:

40-10=30

10+10+?=30

30-10-10=10

I'm sorry cuz I don't know how to explain it

Answer:

z = 10

Step-by-step explanation:

10 + 10 + z = 40 - 10

10 + 10 + z = 30

10 + 10 + 10 = 30

since 40 - 10 = 30, then Z has to equal 10 because 10 + 10 + z needs to be 30

According to the question we have the required average rate of change of the given function on the interval `[4, 6]` is `91`.

We are given the function `h(x) = 6x² + 5x - 4`. We need to find the average rate of change of the given function on the interval `[4, 6]`.

Formula to find the average rate of change of a function is given by; Average rate of change of `f(x)` over the interval `[a, b]`=`(f(b)−f(a))/(b−a)` .

So, using the above formula, we have the average rate of change of the given function on the interval `[4, 6]`as:

Average rate of change of `h(x)` over the interval `[4, 6]`=`(h(6)−h(4))/(6−4)`= `(6(6)²+5(6)-4 - [6(4)²+5(4)-4])/(6-4)`=`(216 + 30 - 4 - 84 + 20 + 4)/2`=`182/2`= `91/1` = `91`

Therefore, the required average rate of change of the given function on the interval `[4, 6]` is `91`.Note:

The average rate of change of a function on an interval is also known as the slope of the secant line that connects the endpoints of that interval.

To know more about Function  visit :

https://brainly.com/question/30721594

#SPJ11

Step-by-step explanation:

the answer is

(2x+13)=(3x-3)

x= 16

Answer:

90° angle

Step-by-step explanation:

Every time you see an angle that has a box, it measures 90°

Answer:

63 divided by 7 is 9

56 divided by 7 is 8

Step-by-step explanation:

I don't really know how to explain it, because it's kind of complicated to do it how I answered it. I will try, but what you do is write out the equation using the little line division thing with the divisor and the dividend. First for 63 divided by 7, how many times can 7 go into 6? 0, so put a 0 on top of the 6. Then, minus 6 by 0, which is 6. Then, drop down the 3 in the ones place to where the difference of the subtraction problem is, which of 6. Then, we try to find a product that is 63 or close to 63 in a multiplication problem, and one of those factors has to be 7. 7 x 9 = 63, so put a 9 on top of the 3 at the beginning and minus 63 - 63, which is 0, meaning it has no remainder. Very hard to explain digitally, look up a video for help.

If a minus b=5 and  \(a^2+b^2\)=9 then using algebraic identity ab= -8.

What is algebraic identity?

Algebraic identities are algebraic equations that are true regardless of the value of each variable. To quickly solve an algebraic statement or polynomial, algebraic identities are utilised. The calculation is simplified by it. The three mathematical algebraic identities are:

Identity 1: \((a+b)^2=a^2+b^2+2ab\)

Identity 2:\((a-b)^2=a^2+b^2-2ab\)

Identity 3:\((a^2-b^2)=(a+b)(a-b)\)

Here a-b= 5 and \(a^2+b^2\)=9.

Using algebraic identity formula,

=> \((a-b)^2\)=  \(a^2+b^2\)-2ab.

=> \(5^2\)= 9-2ab

=> 25=9-2ab

=> 2ab = 9-25

=>2ab = -16

=> ab = -16/2 = -8.

Hence the value of ab= -8.

To learn more about algebraic identity refer the below link

https://brainly.com/question/28853516

#SPJ1

Answer:

m = \(\frac{1}{5}\) , c = - 4

Step-by-step explanation:

m is the slope of the line and is calculated using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = \(\frac{1-0}{1-(-4)}\) = \(\frac{1}{1+4}\) = \(\frac{1}{5}\)

c is the value of the y- intercept , where the line crosses the y- axis

the line crosses the y- axis at - 4, then c = - 4

Answer:

y= 3x/4 − 1

Step-by-step explanation:

Answer:

On my momma do this again imma slap you on gng nem

Step-by-step explanation:

Answer:

Area truck = 66.25 ft²

Step-by-step explanation:

Area truck = 12.5 x 5.3 = 66.25

The truck will fit. See the answer to you latest question.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

mom will let you know

Step-by-step explanation:

shes gone

Answers:

====================================

Explanation:

According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

Learn more about Zaller's model:

https://brainly.com/question/6956833

#SPJ11

The equation that shows the product of a square matrix A and its identity matrix as A is A * I = A.

In matrix multiplication, when a matrix is multiplied by an identity matrix, the resulting matrix is the same as the original matrix. An identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. The size of the identity matrix is determined by the size of the original matrix.

By multiplying a square matrix A by the identity matrix I, each element of A is multiplied by the corresponding element of I, which is 1 if the positions are on the diagonal and 0 otherwise. Since multiplying any number by 1 gives the same number, the resulting matrix will be equal to the original matrix A. Therefore, the equation A * I = A expresses this relationship.


To learn more about matrix click here: brainly.com/question/29132693

#SPJ11

One teaspoon of sugar is approximately equal to 4 grams. Therefore, a breakfast with 20 grams of sugars would contain approximately 5 teaspoons of sugar.

To determine the number of teaspoons of sugar in a breakfast containing a total of 20 grams of sugars, we need to convert grams to teaspoons. The conversion from grams to teaspoons depends on the density and type of the substance being measured.

In the case of granulated sugar, which is commonly used in breakfast foods, it is generally accepted that 1 teaspoon of sugar is approximately equal to 4 grams. This conversion factor can vary slightly based on factors such as moisture content and packing density, but for practical purposes, using 4 grams per teaspoon provides a reasonable estimate.

Using this conversion, we can divide the total grams of sugars (20 grams) by the grams per teaspoon (4 grams) to find the number of teaspoons. The calculation would be 20 grams / 4 grams per teaspoon = 5 teaspoons. Therefore, a breakfast containing 20 grams of sugars would equate to approximately 5 teaspoons of sugar.

To know more about equal refer here:

https://brainly.com/question/33293967

#SPJ11

Answer:

70.0000000001 meters per second

Step-by-step explanation:

The formula is to multiply by the factor 0.27777777777817.

252 km/h * 0.27777777777817 = 70.0000000001

Answer:

child tickets: 115

adult tickets: 175

Step-by-step explanation:

number of child tickets = x

number of adult tickets = y

(value of child ticket [8] * number of child tickets [x]) + (value of adult ticket [8.5] * number of adult ticket [y]) = total value (2407.50)

8x + 8.5y= 2407.50

290 (total number of tickets) = x (number of child tickets) + y (number of adult tickets)

290 = x+y

system of equations: 8x + 8.5y= 2407.50

290 = x + y

solve equation:

x = 115

y = 175

Answer: $8 for each person

Step-by-step explanation: If we divide the $32 by how many people there are(4) we get 8. We can check if this answer is correct by doing the opposite of division, multiplication. So 4 x 8 = 32. Hope this helps! :)

Answer:

Green Lawns is more expensive

Step-by-step explanation:

Take the hours provided in the table and place them into the function

y=10x + 15

Then compare to Green Lawns.

For 2 hours:

y = 10 * 2 + 15 = $35 / hr

For 3 hours:

y=10 * 3 + 15 = $45 / hr