All categories

3 years ago

What is the vertex of this equation?

2 answers:

6 0

It's simple, you first do -b/2a, (This is how the equation is supposed to go: ax^2+bx+c) Therefore, to this answer, it is -1. Now this answer will be you x point, and you use that to find the vertex by putting -1 as b. You have two choices that are correct, so eliminate those who's x isn't -1. Finally, put -1 as b, which would end up as -1^2+2(-1)-35, and when you simplify it, you end up with -36, making D the answer

adoni [48]3 years ago

5 0

(-1,-36) is the answer

You might be interested in

12.what is the probability that a boy and a girl chosen randsomly will be seniors?

zhenek [66]

$\frac{\textbf{1}}{\textbf{20}}$

Step-by-step explanation:

Probability= $\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$

Probability for a randomly chosen girl to be senior= $\frac{\text{number of senior girls}}{\text{total number of girls}}$

Probability for a randomly chosen girl to be senior= $\frac{7}{8+11+9+7}=\frac{7}{35}=\frac{1}{5}$

Probability for a randomly chosen boy to be senior= $\frac{\text{number of senior boys}}{\text{total number of boys}}$

Probability for a randomly chosen girl to be senior= $\frac{9}{10+7+10+9}=\frac{9}{36}=\frac{1}{4}$

For two independent events,

Probability for both event 1 and event 2 to take place= $\text{probability of event 1} \times \text{probability of event 2}$

Since choosing boys and girls is independent,

Probability for both boy an girl chosen to be senior= $\text{probability for boy to be senior}\times\text{probability for girl to be senior}$

Probability for both boy and girl chosen to be senior= $\frac{1}{5} \times \frac{1}{4} = \frac{1}{20}$

So,required probability is $\frac{1}{20}$

3 0

3 years ago

What does this symbol means *

m_a_m_a [10]

Answer:

it's a star

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Complete the rational operation <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bx%20-%205%7D%20%20-%20%20%5Cfrac%7Bx%7

prisoha [69]

We have
                             3 / (x-5) - x/5
We make the GCF and we have
                                    15/[ 5(x-5) ] - x(x-5)/[ 5(x-5)]
                                  = [ 15 - x(x-5) ] [5(x-5)]
                                  = [ 15 - x^2 + 5x] / [ 5 (x-5) ]
                                  = [15 - x^2 + 5x]/[5x - 25]
An answer to your question is (15-x^2+5x)/(5x-25)

6 0

3 years ago

A wall of a building is 34 inches wide Sixteen inches is concrete, 12 inches is brick, and 6 inches is limestone What fraction o

Elza [17]

The fraction wall of the concrete is 8/17.

6 0

3 years ago

A chemical company makes two brands of antifreeze. The first brand is 65% pure antifreeze, and the second brand is 90% pure anti

Murrr4er [49]

With amounts measured in gallons, let

x = amount of 65% antifreeze

y = amount of 90% antifreeze

1 gal of the 65% brand contains 0.65 gal of pure antifreeze; x gal would contain 0.65x gal. Similarly, y gal of the 90% brand contains 0.90y gal of pure antifreeze.

To obtain 120 gal of 80% antifreeze solution (which contains 0.80•120 = 96 gal of pure antifreeze), we must have

x + y = 120 … … … … … [total volume of antifreeze solution]

0.65x + 0.90y = 96 … [total volume of pure antifreeze]

Solve the first equation for y :

y = 120 - x

Substitute this into the second equation and solve for x :

0.65x + 0.90 (120 - x) = 96

0.65x + 108 - 0.90x = 96

0.25x = 12

x = 48

Solve for y :

y = 120 - 48

y = 72

6 0

2 years ago