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MariettaO [177]
3 years ago
11

What is the quadratic function f(x)= x^2 + 8x − 2 in vertex form?

Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0
Well vertex formula is A(x-h) + k
Where H and K are the X and Y coordinates of the minimum of the parabola
so using a graphing calculator to find the vertex of the graph you can plug it all in to get

(x + 4)^2 -18

you have no A value because it is 1
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A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
Nastasia [14]

Let

x-------> the number of game tokens purchased for a member of the arcade

y-------> the function of the yearly cost in dollars

we know that

the function y of the yearly cost in dollars is equal to

y =\frac{1}{10} x +60

This is the equation of the line

using a graph tool

see the attached figure

<u>Statements</u>

<u>case a)</u> The slope of the function is $1.00

The statement is False

The slope of the function is equal to \frac{1}{10} \frac{\$}{tokens}

<u>case b)</u> The y-intercept of the function is $60

The statement is True

we know that

The y-intercept of the function is the value of the function when the value of x is equal to zero

so

for x=0

y =\frac{1}{10}*0 +60

y =\$60

<u>case c)</u> The function can be represented by the equation y =(1/10)x + 60

The statement is True

The equation of the function is equal to y =\frac{1}{10} x +60

<u>case d)</u> The domain is all real numbers

The statement is False

The value of x cannot be negative, therefore the domain is the interval

[0,∞)

<u>case e)</u> The range is {y| y ≥ 60}

The statement is True

The range of the function is the interval-------> [60,∞)

see the attached figure

8 0
3 years ago
Read 2 more answers
Help! Match each linear equation with its graph
Bond [772]

Answer:

y = -1/4 x+4 is blue

y = 1/2 x+4 is green

y = 3x is red

y = -1/2x is purple

y = 3 is black

6 0
3 years ago
Find the mean of the following: 158, 213, 107, 213, and 213. If needed, round your answer to the nearest tenth
Shalnov [3]

Answer:

180.8

Step-by-step explanation:

1. Add all the numbers

2. Divide the sum by 5

3. you get the answer

4 0
3 years ago
Read 2 more answers
Part A
rjkz [21]

Answer:

Step-by-step explanation:

Part A

Solve 4,500 ÷ 90. Enter your answer in the box.

 

Answer : 50

Part B

Select all the expressions that are equal to 4,500 ÷ 90.

A. 4,500 ÷ 9 tens  ✔️

B. 450 ÷ 90  ❌

C. 450 ÷ 9  ❌

D. 4,500 ÷ 9  ❌

E. 4,500 ÷ 90 tens ❌

8 0
3 years ago
2r2 + 3s3 − r2 + 4t2 − r2 if r = −2, s = −3, and t = 5.
Elza [17]

First, simplify the expression 2r^2 + 3s^3 - r^2 + 4t^2 - r^2. Here you have three terms with r^2, group them in the following way:

2r^2 + 3s^3 - r^2 + 4t^2 - r^2=2r^2-r^2-r^2+3s^3+4t^2=(2r^2-r^2-r^2)+3s^3+4t^2=

=r^2(2-1-1)+3s^3+4t^2=3s^3+4t^2.

Then substitute s=-3 and t=5:

3s^3+4t^2=3\cdot (-3)^3+4\cdot 5^2=3\cdot (-27)+4\cdot 25=-81+100=19.

Answer: 19.

3 0
3 years ago
Read 2 more answers
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