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3 years ago

Write the point-slope form of the equation of the line through the given point with the given slope.

Mathematics

1 answer:

natulia [17]3 years ago

6 0

Answer:

-3 - 1 = 4/9(-5 - 4)

Step-by-step Explanation:

Point-Slope form uses the formula y-y1=m(x-x1).

m is the slope, which they gave you, so you can substitute it into the formula:

y - y1 = 4/9(x - x1).

They also gave you a first point (-5, -3) So you can substitute the x and y of those into the formula as well.

-3 - y1 = 4/9(-5 - x1)

y1 and x1 are for another point. By drawing a graph and then using the rise and run of the slope (up 4 and over 9), you can get another point (as shown in the picture).

Substitute the x and y values of that point into the equation as well and you have your answer:

-3 - 1 = 4/9(-5 - 4)

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The difference of products of a fraction with 5 whole 7/8 and 3 whole 3/4 is 11.Find the fraction.

Akimi4 [234]

Answer:

88/17

Step-by-step explanation:

5x · 7/8 - 3x · 3/4 = 11

35x/8 - 18x/8 = 17x/8

17x/8 = 11

17x = 88

x = 88/17

8 0

3 years ago

Becca polled the members of her volleyball team to see what their opinions were regarding the awards banquet. Her results were:

leva [86]

Based on the total number of people who want the steakhouse option, the probability that a student will not want the seafoodbuffet if they want the steakhouse option is 24%

<h3>What is the probability of the students' choice?</h3><h3 />

The probability that a student does not want the seafood buffet given that they want the steakhouse option is:

= Number of people who want steakhouse but not seafood / Total surveyed

Solving gives:

= 9 / (16 + 8 + 9 + 4)

= 9 / 37

= 24%

Full question is:

If a student wants the steakhouse option, what is the probability that they will not want the seafoodbuffet?

Find out more on probability at brainly.com/question/27921932

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8 0

2 years ago

Mitchell has $17000 to put towards a car. He wants to invest this money in an account paying 3.3%/a

arsen [322]

Answer:

He can afford the monthly payment of the Ford car since his accumulated interest after 5 years is greater than the amount the Ford will cost

Step-by-step explanation:

For the Ford

There are 60 months in 5 years so the total amount he will be paying is 60 * 299 = $17,940

For the Volkswagen, amount to pay will be 60 * 389 = $23,340

Now to see the payment he can afford, let’s calculate the amount he will have in his savings

We shall use the formula for compound interest here

A = I(1 + r/n)^nt

where A is the amount after the

number of years

I is the initial amount = 17,000

r is the rate = 3.3% = 3.3/100 = 0.033

n is the

number of times interest is compounded per year = 12

t = number of years = 5

plugging these values we have

A = 17,000(1 + 0.033/12)^12(5)

A = 17,000( 1.00275)^60

A = $20,045

This shows he can afford the Ford

5 0

3 years ago

Need help Identify three solutions of the graph shown

tester [92]

The solutions are basically the points on the graph that the line passes through. The best way to pick them is to use the whole numbers that are on the corners of the little boxes instead of the middle.

(4, -5)
(3, -3)
(1, 1)
(0, 3)
(-1, 5)
and so on.

6 0

4 years ago

A number cube is rolled 24 times and lands on a 2 four times and on 6 three times. find the experimental probability of not land

masya89 [10]

1/6<span>Experimental probability is the ratio of the times a certain event occurred to the total number of trials.

</span>

3 0

3 years ago