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kotykmax [81]
2 years ago
7

Given that f(x) = ax – 5 and f(4) = 15, determine the value of a.

Mathematics
1 answer:
agasfer [191]2 years ago
8 0

Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5

The given function is:

f(x)  =  ax  -  5

If f(4)  =  15, then x = 4

Substitute x = 4 into f(x) = ax - 5

f(4)  =  a(4)  -  5

15   =  4a   -  5

Solve for a by adding 5 to both sides

15  +  5  =  4a  -  5  +  5

20    =  4a

Divide both sides by 4

4a/4   =  20/4

a    =  5

Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5

Learn more on linear functions here: brainly.com/question/15602982

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When Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10) Q ∩ P = { 1, 9}

<h3>How to calculate the value?</h3>

Set theory simply means the branch of mathematical logic that deals with sets, that can be described as collections of objects.

It should be noted that perfect squares are the numbers that can be divided to give same number.

Q = {all perfect squares less than 30}. This will be 1, 4, 9, 16, 25

P ={ all odd numbers from 1 to 10}. This will be 1, 3, 5, 7, and 9.

In this case, the common numbers to set of P and Q are 1 and 9.

Therefore, the numbers are 1 and 9 since they're common to both sides.

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brainly.com/question/24644930

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If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}. Find Q ∩ P.

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What is the value of x in the equation 2(x−3) 9=3(x 1) x? x = −3 x = −1 x = 0 x = 3
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The solution of the linear equation is x = 0.

<h3>What is the linear equation?</h3>

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.

Linear equations are the equations of degree 1.

The given linear equation is;

\rm 2(x-3)+ 9=3(x+ 1) +x

The value of x is determined in the following steps given below.\rm 2(x-3)+9=3(x+1)+x\\\\2x-6+9=3x+3+x\\\\\ 2x+3=4x+3\\\\3-3=4x-2x\\\\0=2x\\\\x=0

Hence, the solution of the linear equation is x = 0.

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