If f(x)=4x²+8x-9 find and simplify f(2+x)

Mathematics

1 answer:

Basile [38]4 years ago

4 0

Answer:

4x² +24 x +23

Step-by-step explanation:

f(x) = 4x² +8x -9

f(2+x) = 4(2+x)² +8(2+x) -9

= 4(2²+2.2x +x²) +16 +8x-9

= 16+ 16x + 4x² +16+8x-9

=23+16x+4x²+8x

= 4x² +24x+23

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The sum of three consecutive numbers is equal to 4 times the largest number minus 29. What is the smallest of the three numbers?

gulaghasi [49]

The smallest of the three consecutive integers is 24.

<h3>How to solve algebraic word problems?</h3>

Let the 3 consecutive integers be;

x, y and z

Thus;

y = x + 1

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Now, we are told that their sum is equal to 4 times the largest number minus 29. Thus;

x + x + 1 + x + 2 = 4(x + 2) - 29

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2 years ago

Subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x.

kicyunya [14]

Simplified value of subtraction of 7x+27x+2 from -5x^2-2x−5x 2 −2x. is $-10x^{2} -38x-2$ .

Given Expressions 7x+27x+2 and -5x^2-2x−5x 2 −2x.

Expressions refers to the combination of numbers, variables and symbols. It represents the relationship between variables. They are solved for finding out the value of variables. It is mainly not in equal to form. Subtraction is possible when subtracting the coefficients of same variable.

We have to subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x. and to do this we need to first solve the expressions itself.

7x+27x+2=34x+2------------------1

$-5x^{2} -2x-5x^{2} -2x$ = $-10x^{2} -7x-2x$ --------------------2