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arsen [322]
2 years ago
7

What is the range of y = x² - 8x + 4?

Mathematics
2 answers:
scoundrel [369]2 years ago
8 0

Answer:

Who knowbc i def dont and neither do you

ivann1987 [24]2 years ago
6 0

Answer: [-12 , ∞)

Step-by-step explanation:

To find the range of a parabola you would like the equation in the form y=ax²+bx+c, which is how it is given, to find the vertex.

From there you can use the equation x₁= -b/2a to find the x coordinate.

-(-8)/2(1) = 4.

Then you just plug the x₁ value into the original function to find the y-value.

y₁=(4)²-8(4)+4=16-32+4=-12

So we can conclude the vertex is (4,-12) and because the equation is a parabola that looks like a U, the y values or range, will start and -12 and go up to infinity. -12≤x or in interval notation [-12,∞).

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What are the x-intercepts of this quadratic function? g(x) = -2(x − 4)(x + 1) A. (4,0) and (-1,0) B. (-4,0) and (-1,0) C. (4,0)
My name is Ann [436]

Answer:

Option A. (4,0) and (-1,0)

Step-by-step explanation:

we know that

The equation of a vertical parabola in factored form is equal to

f(x)=a(x-x_1)(x-x_2)

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

In this problem we have

g(x)=-2(x-4)(x+1)

we have

a=-2

The leading coefficient is negative, that means the parabola open downward

The zeros of the function are

x_1=4\\x_2=-1

Remember that the x-intercepts are the values of x when the value of the function is equal to zero

therefore

The x-intercepts are (4,0) and (-1,0)

7 0
3 years ago
Read 2 more answers
6s-4=8 (2+ 0.25s)<br> solve for s
pentagon [3]

Answer:

s=5

Step-by-step explanation:

6s-4=16+2s

6s=20+2s

4s=20

s=5

4 0
3 years ago
Read 2 more answers
Find the missing angle or side measure. Provide clear justification for you answers.
DENIUS [597]

Answer:

m∠ D = 110°.

Justification is below.

Step-by-step explanation:

Consider  quadrilateral CDEF as a parallelogram,

Opposite sides of a parallelogram are parallel

∴ DE || CF

If two lines are parallel then the interior angles SUM is 180°

Angle C and Angle D are interior angles.

∴ m ∠C + m∠ D = 180°

Here

m ∠C = 70°      {Given}

on substituting the above value we get

∴ 70 + m∠ D = 180°

∴  m∠ D = 180 - 70

∴  m∠ D = 110°

∴  m∠ D = 110° which is the required answer.

6 0
3 years ago
How much string would you need to go around the bottom of a hat shaped like a cone if the radius is 4 inches? (Use 3.14 for pi)
Alexeev081 [22]
I think a but I said I think but iam not sure I looked it up its b
4 0
4 years ago
Read 2 more answers
Pls help
VikaD [51]
Answer: both

Unless you mistyped the first number and it’s actually -3 instead of 3 than b is the answer.

To see if they make a function you can graph all the coordinates and do the line test. Or you can look at all the numbers and see if any of the ordered pair have repeating x values. If they do, it’s not a function.

Remember, it’s (x,y) and if any X values repeat, it’s NOT a function
6 0
3 years ago
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