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lapo4ka [179]
2 years ago
13

What is the vertex of the graph of the function f(x) = x² + 8x - 2?

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
6 0

Answer:

(4, -18)

Step-by-step explanation:

First  Use this formula for the x -axis  -b/2a  

-8/2(1) is -4

Then plug in -4 to the equation

(-4)^2+8(-4)-2 = -18

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Brainliest + points!<br><br> Please explain
zepelin [54]

Answer:

C

Step-by-step explanation:

Legs are the sides of an isosceles triangle that aren't the base, so in this case ZX would be the base. This rule is only for isosceles triangles. It doesn't apply to any other type of triangle.

Hope I helped, sorry if I'm wrong!

~Mschmindy

6 0
3 years ago
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HURRY, DUE IN 11 MINUTES!! WILL MARK BRAINLIEST!!
Setler [38]

Answer:

The answer is: (1, -10)

5 0
3 years ago
Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the c
Archy [21]

Answer:

8 pictures

Step-by-step explanation:

Given

Window = 5\frac{3}{4}ft

Wall = 9.75ft

Pictures = 6\ inches

Required

Determine the number of pictures

First, we need to calculate the length of the available space

This is calculated by subtracting the width of the window from the width of the wall.

Space = Wall - Window

Space = 9.75 - 5\frac{3}{4}

Convert fraction to decimal

Space = 9.75 - 5.75

Space = 4ft

Since, the pictures are placed side by side.

This means that, there's no empty space between them.

Number of pictures is:

Number = \frac{Space}{Pictures}

Number = \frac{4\ ft}{6\ in}

Convert feet to inches

Number = \frac{4 * 12\ in}{6\ in}

Number = \frac{48\ in}{6\ in}

Number = \frac{48}{6}

Number = 8

<em>Hence, 8 pictures can fit the wall</em>

7 0
2 years ago
Read 2 more answers
Genevieve works on her scrapbook from 11:27 am to 11:58 am. How many minutes does she work on her scrapbook
Mnenie [13.5K]

Answer:

31

Step-by-step explanation:

time is tricky due to the 60 minute interface. In those questions add to the lower number until you hit a rounded number.

Fortunately you don't need to use this in this problem, and can just subtract 58-27 to get 31

5 0
3 years ago
The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
natali 33 [55]
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
3 0
3 years ago
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