MATHEMATICS COLLEGE

Find the standard form of the equation
(-7,-13) and (7,-11)

Answers

Answer 1
Answer:

Answer:

x-7y=84

x-7y-84=0

Step-by-step explanation:

y=mx+c

y=ax+b

ax+by=c or ax+by-c=0

m= 1/7

y=1/7x-12

x-7y=84

x-7y-84=0

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A product p and six is wrtten as

Answers

Answer: 6p

Explanation: The word "product" is a

keyword that tells us to use multiplication.

So your answer can be written as 6 · p or just 6p.

Don't write your answer as p6.

Even though it's technically correct, I would always put

the number before the variable as a matter of form.

Answer:

6p

Step-by-step explanation:

If college tuition last year was $3300 and this year tuition has increased to $3564 what is the percent of increase?

Answers

college tuition and fees have increased 1,120 ... reports that the rate of increase in college costs has been “four times ... tuition at four-year public universities had increased by 15 percent between 2008 and 2010. ... “But if the costs keep on rising, especially at a time when family ...

Complete the square to determine the minimum or maximum value of the function defined by the expression. −x2 − 14x + 1

Answers

Answer:

  • maximum: 50

Step-by-step explanation:

The negative coefficient of x^2 tells you the parabola opens downward. (Any even-degree polynomial with a negative leading coefficient will open downward.)

Going through the steps for completing the square, we ...

1. Factor out the leading coefficient from the x-terms

  -1(x^2 +14x) +1

2. Add the square of half the x-coefficient inside parentheses, subtract the same amount outside parentheses.

  -1(x^2 +14x +49) -(-1·49) +1

3. Simplify, expressing the content of parentheses as a square.

  -(x +7)^2 +50

4. Compare to the vertex form to find the vertex. For vertex (h, k), the form is

  a(x -h)^2 +k

so your vertex is ...

  (h, k) = (-7, 50) . . . . . . . . . a = -1 < 0, so the curve opens downward. The vertex is a maximum.

The maximum value of the expression is 50.

Hi i have a question can younplease help me ​

Answers

Answer:15

Step-by-step explanation:

What is the circumference of a circle with a diameter of 14 cm? Approximate using pi equals 22 over 7.22 cm
44 cm
154 cm
616 cm

Answers

Answer: 154 cm is the answer

Step-by-step explanation:

Answer:

154 cm

Step-by-step explanation:

A student is applying to Harvard and Dartmouth. He estimates that he has a probability of .5 of being accepted at Dartmouth and .3 of being accepted at Harvard. He further estimates the probability that he will be accepted by both is .2. What is the probability that he is accepted by Dartmouth if he is accepted by Harvard? Is the event "accepted at Harvard" independent of the event "accepted at Dartmouth"?

Answers

Answer:

Step-by-step explanation:

Let P(H) be the probability that he is accepted by Harvard

Let P(D) be the probability that he is accepted by Dartmouth

Let P(HnD) be the probability that he is accepted by Harvard and Dartmouth

Given data

P(H) = 0.3

P(D) = 0.5

P(DnH) = 0.2

To get the probability that he is accepted by Dartmouth if he is accepted by Harvard, can be gotten using the conditional probability formula.

P(D|H) = P(DnH)/P(H)

P(D|H) = 0.2/0.3

P(D|H) = 2/10/÷3/10

P(D|H) = 2/10×10/3

P(D|H) 2/3

b) The two events are independent if the occurrence of an event does not affect the other occurring. For the two events to be independent then;

P(DnH) = P(D)P(H)

Given P(D) = 0.5 and P(H) = 0.3

P(D)P(H) = 0.5 × 0.3

P(D)P(H) = 0.15

And since P(DnH) = 0.2, hence P(DnH) ≠ P(D)P(H)

This means that the event "accepted at Harvard" IS NOT independent of the event "accepted at Dartmouth" since the two values are not equal.
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