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Nana76 [90]
2 years ago
10

If f(x) = (3 + x) (x-3) what is f(a + 2)?

Mathematics
1 answer:
ipn [44]2 years ago
5 0

Answer:

(a^2)+4a-5

Step-by-step explanation:

(3+a+2)(a+2-3)

(a+5)(a-1)

use FOIL or box method

5a-5+(a^2)-a simplifyes to

(a^2)+4a-5

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Give a rule for finding the first of four consecutive odd integers if you know the sum of the four integers.
Artemon [7]

This ones a bit of a trick question, since whether the integers are even or odd doesn't really matter. What does matter, is that consecutive odd integers are 2 numbers apart (as are consecutive even integers).

So again, if the first of the odd integers is the variable n

the consecutive odd integers after it can be written as:

n+2 , n+4, etc...

So the sum of four consecutive odd integers can be written as:

sum = n + (n+2) + (n+4) + (n+6)

Simplify:

sum = 4n + 12

And finally rearrange to solve for n:

\frac{sum-12}{4} = n

This can also be written as:

\frac{sum}{4} - 3 = n

Whichever way you prefer.

6 0
3 years ago
Read 2 more answers
A specialty muffin company makes muffins for $0.12 per muffin. The starting cost of the company is $300. How many muffins must t
V125BC [204]

Answer:

the company should make 2307 muffins before the Average cost reaches $0.25/muffin

Step-by-step explanation:

the total cost of making the muffins is

Total cost = fixed cost + variable cost = $300 + $0.12 / muffin *Q

where Q = number of muffins

the average cost is

Average cost = Total cost / number of muffins = ($300 + $0.12 *Q) / Q =  $300/Q + $0.12 / muffin

then for Average cost=  $0.25/muffin

$300/Q + $0.12 / muffin =  $0.25/muffin

Q = $300 / ( $0.25/muffin- $0.12 / muffin ) = 2307.69 muffins ≈ 2307 muffins ( we are rounding down since we want to find the number before the cost goes below 0.25)

then the company should make 2307 muffins before the Average cost reaches $0.25/muffin

6 0
3 years ago
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What is the vertex form of 2x=y^2-10
Salsk061 [2.6K]

Answer:

x = 0.5y^2 - 5.

Step-by-step explanation:

2x=y^2-10

Divide both sides by 2:

x = 0.5y^2 - 5

5 0
3 years ago
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the volume of a rectangular prism can be found by the formula v = lwh where v is the volume, l is length, w is width and h is he
KonstantinChe [14]
V = lwh
48 = 8 x 2 x h = 16h
h = 48/16 = 3

height = 3 inches.
5 0
3 years ago
How do you simplify this ? 8(x - 4) - 6(x - 1) + 9x
Neporo4naja [7]
8(x-4)-6(x-1)+9x\\\\=8\cdot x+8\cdot(-4)-6\cdot x-6\cdot(-1)+9x\\\\=8x-32-6x+6+9x\\\\=(8x-6x+9x)+(-32+6)\\\\=\boxed{11x-26}
4 0
3 years ago
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