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3 years ago

Identify the vertex and axis of symmetry of the graph of g(x) = |x|- 8

Mathematics

2 answers:

Andrews [41]3 years ago

7 0

The vertex is (0,-8)
im not sure about axis of symmetry but i don’t think it has one

SOVA2 [1]3 years ago

6 0

Answer:

the vertex is (0,-8)

I don't know the other one

Step-by-step explanation:

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A store is advertising a sale with 15% off all prices in the store. Sales tax is 8%. Which equation will correctly determine the

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3 years ago

Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

Step-by-step explanation:

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1

Now, integrate from x = -2 to x = 1

$\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,$ the bottom of the integral is -2

= $\int\limits^1_2 {x+6-x^{2}-2x-4 } \,$

= $\int\limits^1_2 {-x^{2}-x+2 } \,$

= $\frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,$

= $(\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))$

= $(\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)$

= $\frac{-9}{3} + \frac{3}{2} +6$

= -3 + 1.5 + 6

= 4.5

3 0

3 years ago

What is the answer to -3+y=-5

Stolb23 [73]

Answer:

y=-2

Step-by-step explanation:

you are solving for the variable y

add 3 to the opposite side, so it cancels out

y=-5+3

y=-2

4 0

3 years ago

Read 2 more answers

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djverab [1.8K]

The answer is b or c

5 0

3 years ago

Please explain and answer Part C. I will give 20 points

madam [21]

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3 years ago