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3 years ago

How do you solve this equation step-by-step? (below) 4a + 8 - 2a - 3 = 45

Mathematics

2 answers:

timofeeve [1]3 years ago

6 0

Answer:

a=20

Step-by-step explanation:

makkiz [27]3 years ago

3 0

Answer:

Step-by-step explanation:

4a-2a+8-3=45

2a+5=45

2a+5-5=45-5

2a/2=40/2

a=20

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The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of f

Vsevolod [243]

Answer:

$g(x) = \frac{6}{5}x + 8$

Step-by-step explanation:

Given

$f(x) = 6x + 8$

$k = 5$ --- horizontal stretch factor

Required

Find g(x)

When a function is stretched horizontally by k, the resulting function will be:

Rule: $g(x) = f(\frac{1}{k}x)$

So, we have:

$g(x) = f(\frac{1}{5}x)$

Solve for: $f(\frac{1}{5}x)$

$f(\frac{1}{5}x) = 6 * \frac{1}{5}x + 8$

$f(\frac{1}{5}x) = \frac{6}{5}x + 8$

Recall that:

$g(x) = f(\frac{1}{5}x)$

$g(x) = \frac{6}{5}x + 8$

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3 years ago

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Beth placed 91 books on a shelf. Twenty-eight of the books were nonfiction,13 of the books were poetry books,and the rest were f

marysya [2.9K]

Answer:

50 fiction books

Step-by-step explanation:

if there are 91 books, it's simple subtraction. 91-28 is 63. 63 - 13 = 50. 50 fiction books, amiright?

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3 years ago

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△ABC is translated up 5 units to form the image ∆A′B′C′.

otez555 [7]

Answer:

A= -2,4 B=2,4 C= 2,5

Step-by-step explanation:

I tried my best even though C doesn't have a solid answer but A and B are correct so go off that.

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3 years ago

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Step 1: Subtract 3 from both sides of the inequality.

zlopas [31]

5 - 8x < 2x + 3

5 - 8x < 2x + 3
-3 - 3 Step 1.
2 - 8x < 2x
 +8x +8x Step 2. Missing step
2 < 10x
÷10 ÷10 Step 3.
2/10 < x
1/5 < x

The missing step is add 8x to both sides of the inequality.

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3 years ago

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-5 (p+2)=2 (2p-15)+p

Bess [88]

$-5 (p+2)=2 (2p-15)+p$

$-5p-10=4p-30+p

$ $\text{Expand}$

$-5p-10=5p-30
$

$-10=5p-30+5p
$ $\text{Add 5p to both sides}$

$-10=10p-30

$

$-10+30=10p
$ $\text{Add 30 to both sides}$

$20=10p
$

$\dfrac{20}{10}=p$ $\text{Divide both sides by 10}$

$p=2$ $\text{Solution}$

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3 years ago