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ZanzabumX [31]
2 years ago
8

Find the range of the function.

Mathematics
2 answers:
borishaifa [10]2 years ago
7 0

Answer:

y >= 8

Step-by-step explanation:

This equation is written in vertex notation, so we know the vertex is (-5,8). The parabola opens upward because the coefficient of the squared term is positive. Therefore, the vertex is the minimum, meaning all y values will be greater than (or equal to) the y-coordinate of the vertex (which is 8). When we convert this into a mathematical inequality, we get y>=8.

valentina_108 [34]2 years ago
3 0

Answer:

B. {y | y ≥ –8}

Step-by-step explanation:

i got it right on edg. 2020

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Answer:

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Step-by-step explanation:

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3 years ago
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Mkey [24]
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3 years ago
Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (
Feliz [49]

Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: (x + 7)^2 + (y - 10)^2 = 13^2

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

<u>Option A (5,12)</u>

When x=5, y=12

(5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2

<u>Option B (-7,-3)</u>

When x=-7, y=-3

(-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2

<u>Option C (-6,-10)</u>

When x=-6, y=-10

(-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2

<u>Option D (6,23)</u>

When x=6, y=23

(6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

4 0
2 years ago
Solve the equation for x, where x is a real number (5 points): <br> -2x^2 + 7x + 7 = 6
Artemon [7]
Start by doing a subtraction of 6 to both sides so that the equation becomes -2x^2 + 7x + 1 = 0.
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                             x = [-7 ± sqrt(57) ] / ( -4 )
                             x = 7/4 ± -sqrt(57)/4
The answers are 7/4 + sqrt(57)/4 and 7/4 - sqrt(57)/4.
8 0
3 years ago
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