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Gre4nikov [31]
3 years ago
13

Please help me thank you guys for all of the help​

Mathematics
2 answers:
Ne4ueva [31]3 years ago
7 0

Answer:

9. D (-18)(2)

10. C (-7)(14)

11. B (-12)(-3)

n200080 [17]3 years ago
7 0

Answer:

7. (-85)(-2)

8. (-7)(14)

9. (-12)(-3)

Step-by-step explanation:

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What is the slope y+2=1/4(x-3)
ioda

Answer:

m=\frac{1}{4}

Step-by-step explanation:

Given

y+2=\frac{1}{4}(x-3)

Required

Find the slope

y+2=\frac{1}{4}(x-3)

Subtract 2 from both sides

y+2-2=\frac{1}{4}(x-3) - 2

y=\frac{1}{4}(x-3) - 2

Open bracket

y=\frac{1}{4}x-\frac{1}{4}*3 - 2

y=\frac{1}{4}x-\frac{3}{4} - 2

Take LCM

y=\frac{1}{4}x+\frac{-3 - 8}{4}

y=\frac{1}{4}x+\frac{-11}{4}

y=\frac{1}{4}x-\frac{11}{4}

An equation has the form:

y = mx + b

Where

m = slope

By comparing: y = mx + b and y=\frac{1}{4}x-\frac{11}{4}

m=\frac{1}{4}

<em>So, the slope is 1/4</em>

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Two teams, A and B. are about to play a game. Previous records show that A has an 80% chance of winning, while B has a 20% of wi
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Step-by-step explanation:

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F(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, ∞) and g(x) = 2x2 + 8x + 6,
svetlana [45]

Answer:

B) Both functions have the same domain.

C) Both functions have the same x-intercepts.

D) Both functions are decreasing on the interval (−∞, −2).

Step-by-step explanation:

step 1

Find the vertex of f(x)

we know that

The x-coordinate of the vertex is the midpoint of the roots

we have

x=-1 and x=-3

so

the midpoint is

(-1-3)/2=-2

The y-coordinate of the vertex is -4 (because the range is [−4, ∞))

therefore

The vertex of f(x) is the point (-2,-4)

Is a vertical parabola open upward

The vertex is a minimum

The domain is all real numbers

step 2

we have

g(x)=2x^2+8x+6

Find the vertex

Factor the leading coefficient

g(x)=2(x^2+4x)+6

Complete the square

g(x)=2(x^2+4x+4)+6-8

g(x)=2(x^2+4x+4)-2

Rewrite as perfect squares

g(x)=2(x+2)^2-2

Is a vertical parabola open upward

The vertex is the point (-2,-2)

The domain is all real numbers

The range is the interval [−2, ∞)

Find the x-intercepts

For g(x)=0

0=2(x+2)^2-2

2(x+2)^2=2

(x+2)^2=1\\x+2=\pm1\\x=-2\pm1

so

The roots or x-intercepts are

x=-1 and x=-3

<u><em>Verify each statement</em></u>

A) Both functions have the same vertex

The statement is false

The vertex of f(x) is (-2,-4) and the vertex of g(x) is (-2,-2)

B) Both functions have the same domain.

The statement is true

The domain is all real numbers

C) Both functions have the same x-intercepts

The statement is true  (see the explanation)

D) Both functions are decreasing on the interval (−∞, −2)

The statement is true

Because the x-coordinate of the vertex is the same in both functions, and both functions open upward

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