If the number of professors in a college is p and the number of students is s, and there are 18 times as many students as professors, what is an algebraic equation that shows the relationship?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

let p be number of professors and s be number of students

18 times of students as professors

s = p * 18

s = 18p


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Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0.5).
The function crosses the x-axis twice

Answers

The statements that are true about the graph of the function are

  • The function in vertex form is f(x) = (x - 4)^2 - 11.
  • The y-intercept of the function is (0,5).
  • The function crosses the x-axis twice

Vertex and intercept of a function

The standard equation of a function in vertex form is expreseed as:

a(x-h)^2 + k

Given the quadaratic function  f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5

f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11

Find the y-intercept.

This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5

Hence the y-intercept of the function is at (0, 5)

Since the quadratic function has a leading degree of 2, hence the  function crosses the x-axis twice  

Learn more on vertex and intercepts here: brainly.com/question/12778829

Answer:

A, D, E

Step-by-step explanation:

What is the general form of the equation of the line shown?

Answers

Answer:

x - y = 0

Step-by-step explanation:

The given line is y = x.

We could re-write this as x - y = 0, which is in general form.

The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is, d = 0.123456789101112 . . . . What is the 100th digit of d to the right of the decimal point?

Answers

Answer:

2

Step-by-step explanation:

We are given that a decimal number  d

d=0.12345678...

Where d is formed by writing in succession all the positive integers in increasing order after decimal point.

We have to find the 100th digit of d to the right of the decimal point.

Place of first digit 1 after decimal=Tenth

Place of second digit 2 after decimal=Hundredth

Place of third digit  3 after decimal=Thousandth

Therefore, 100th digit of d to the right of the decimal point=2

Kendra is buying bottled water for a class trip.She has 16 bottles left over from the last trip.She buy bottles by case to get a good price.Each case holds 24 bottles.How many cases will she to have to buy if she wants to have a total of 160 bottles of water??.

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She will have to get 6 cases of water.

What is the formula for the area of a rectangle?

Answers

The formula for the area of a rectangle is multiply length x width.

Answer:

LENGTH TIMES WIDTH TIMES HEIGHT

Step-by-step explanation:

5 + 3 = 2/7p - 11

what is the value of p?

Answers

5 + 3 = 2/7p - 115 + 3 = 2p/7 - 11
8 = 2p/7 - 11
8 + 11 = 2p/7
19 = 2p/7
19 × 7 = 2p
133 = 2p
133/2 = p
p = 133/2

The answer is: p = 133/2 or p = 66.5.