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Serhud [2]
2 years ago
10

Given that a function, g, has a domain of -20 sxs 5 and a range of -5 s g(x) s 45 and that g(0) = -2 and g(-9) = 6, select the s

tatement that could be
true for g.
A g(-4)=-11
B. g(-13) = 20
C. g(7)=-1
D. g(0) = 2
Mathematics
1 answer:
musickatia [10]2 years ago
3 0

Answer:

D

Step-by-step explanation:

other options lie outside the domain and range

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This parabola has<br> x-intercepts
slega [8]

Answer:

see the explanation

Step-by-step explanation:

we have the quadratic equation

y=-16x^{2} +32x-10

This is a vertical parabola open downward

The vertex is a maximum

Find the x-intercepts of the quadratic equation

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

-16x^{2} +32x-10=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16x^{2} +32x-10=0        

so

a=-16\\b=32\\c=-10

substitute in the formula

x=\frac{-32(+/-)\sqrt{32^{2}-4(-16)(-10)}} {2(-16)}

x=\frac{-32(+/-)\sqrt{384}} {-32}

x=\frac{-32(+/-)8\sqrt{6}}{-32}

x=\frac{-32(+)8\sqrt{6}}{-32}=\frac{32(-)8\sqrt{6}}{32}=0.39\ sec

x=\frac{-32(-)8\sqrt{6}}{-32}=\frac{32(+)8\sqrt{6}}{32}=1.61\ sec

therefore

This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet

8 0
2 years ago
Read 2 more answers
What is the change in y between the points (1, 4) and (6, -19)? -15 -23 5
Ksivusya [100]

Answer: -23

Step-by-step explanation:

The change in y value can be determined by subtracting the first value from the second.

-19 - 4 = -23

Or if you think about it logically you are going from a positive number to a negative so the total distance will be greater than both of your values.

5 0
3 years ago
Happy Monday Everybody<br><br><br> Free 100 points no joke
kirill [66]

Answer:

YESSS cheers mate

7 0
3 years ago
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How do I write a compound inequality?
ss7ja [257]

Answer:

it can either be written as x > -1 and x < 2 or as -1 < x < 2.

Step-by-step explanation:

The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

6 0
2 years ago
Solve the equation.
nadya68 [22]

Answer:

A. No solution

Step-by-step explanation:

The given equation is 4(2 x + 9) = 4(2 x +6)

We divide through by 4 to get:

2 x + 9 = 2 x +6

We now group similar terms to obtain:

2x - 2x = 6 - 9

0 =  - 3

This final statement is false.

Therefore the given equation has no solution.

7 0
3 years ago
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