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Makovka662 [10]
3 years ago
8

There is a picture below. Help me please!

Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer: The slope is 25. Y intercept is 100

Step-by-step explanation: Using y2-y1/x2-x1 just enter in any two x and y coordinates you want. For example...

1. (10, 350) and (20, 600)

2. 600-350/20-10

3. 250/10

4. Simplifies to 25.

1. Plug the points into y=mx+b

2. 350=25(10)+b

3. 350-250=250-250+b

4. 100=b

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How to solve negative exponents? (Extended,long)
defon
Easily, you write the inverse of it without a minus
so if you were to find x^(-2) it would be (1/x)^2
The rest is all the same
6 0
3 years ago
HELP PLSS!!
erma4kov [3.2K]

Answer:

12

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 3, 6 ] , then

f(b) = f(6) = 6² + 3(6) + 2 = 36 + 18 + 2 = 56

f(a) = f(3) = 3² + 3(3) + 2 = 9 + 9 + 2 = 20 , then

average rate of change = \frac{56-20}{6-3} = \frac{36}{3} = 12

8 0
3 years ago
Marco borrowed $150 from his brother. He had paid back 30% so far. How much money does Marco still owe his brother?
worty [1.4K]

Answer:

He still owes $105

Step-by-step explanation:

First, we have to find how much money Marco had paid back.

We are going to find the percentage of the number:

\frac{150 * 30}{100} = 45

Then, doing a simple mathematical subtraction we can find how much money he still owes to his brother:

150 - 45 = 105


5 0
3 years ago
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th
IgorLugansk [536]

Answer:

a) 0.32 = 32% probability that your bid will be accepted

b) 0.72 = 72% probability that your bid will be accepted

c) An amount in excess of $15,400.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.

This means that a = 10400, b = 15400

a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

You will win if the competitor bids less than 12000. So

P(X \leq 12000) = \frac{12000 - 10400}{15400 - 10400} = 0.32

0.32 = 32% probability that your bid will be accepted

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

You will win if the competitor bids less than 14000. So

P(X \leq 14000) = \frac{14000 - 10400}{15400 - 10400} = 0.72

0.72 = 72% probability that your bid will be accepted

c. What amount should you bid to maximize the probability that you get the property (in dollars)?

His bid is uniformly distributed between $10,400 and $15,400.

So, to maximize the probability that you get the property, you should bid an amount in excess of $15,400.

6 0
3 years ago
Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.
AysviL [449]

Answer:

A

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then

minimum/ maximum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = x² - \frac{5}{3} x + \frac{31}{36} ← is in standard form

with a = 1 and b = - \frac{5}{3} , thus

\frac{x}{vertex} = - \frac{-\frac{5}{3} }{2} = \frac{5}{6}

Substitute this value into y

y = (\frac{5}{6} )² - \frac{5}{3} (\frac{5}{6} ) + \frac{31}{36}

   = \frac{25}{36} - \frac{25}{18} + \frac{31}{36} = \frac{1}{6}

Since a > 1 then the vertex is a minimum, thus

minimum value = \frac{1}{6} → A

3 0
3 years ago
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