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3 years ago

Ethan rolls the number cube and then spins the arrow on the

Mathematics

1 answer:

alisha [4.7K]3 years ago

7 0

Answer:

<h2>I myself would say the answer is C.</h2>

Step-by-step explanation:

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

1. Write a numerical expression for the phrase “twelve groups of the sum of fourteen and 10.”

Rom4ik [11]

The expression for five groups of a number added to seventeen.

Let the number be X
Five groups of the number will be 5X
The required expression will be
5(X) +17

6 0

3 years ago

Amnar deposited $5600 in a simple interest saving account with an annual interest rate yo 2.9 percent.how much is in the account

BaLLatris [955]

The answer is D
$6,168.40
Hope I could help!

6 0

3 years ago

63 decreased by twice Vidya's score Use V to represent Vidya's score.

taurus [48]

V = 126 if that's what you're looking for

6 0

3 years ago

Read 2 more answers

Please help me please and thank you

Likurg_2 [28]

Answer:

f(x)= x^2 - 2, the one in red.

Step-by-step explanation:

To move a quadratic function up/down, you change the value at the very end of the formula.

So instead of f(x)= x^2 + 1, you would do f(x)= x^2 - 2, to move it down 3. This would be the one in red.

6 0

3 years ago