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Viktor [21]
3 years ago
10

Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m=-3

Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

y = -3x + 1

Step-by-step explanation:

Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line:  y - k = m(x - h) becomes y - 4 = -3(x + 1), or:

y = -3x - 3 + 4

y = -3x + 1    This is the same as answer choice (b).

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Find the probability of at least three successes in six trials of a binomial experiment in which the probability of success is 5
Amanda [17]

Answer:

31.3%

Step-by-step explanation:

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is  

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)  

We are interested in the x^3y^3 term which represents exactly 3 successes. Since the probability of success and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is  

20/64 = .3125 which is 31.25% Rounding yo the nearest tenth gives us

8 0
3 years ago
Ali will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 70 and costs an additi
Aleksandr-060686 [28]

Answer: Ali would need to drive 350 miles for the two plans to cost the same.

Step-by-step explanation:

This question can be solved by creating two equations using the information supplied in the question and then solving these simultaneously.

Let the cost be C.

Let the number of miles be M.

Let the initial payment be i.

Let the rate per mile driven be R.

Plan 1:

C = i+R×M

C = 70+0.60M ... equation 1

Plan 2:

C = i+R×M

C = 0+0.80M

C = 0.80M ...equation 2

Substituting equation 2 into equation 1:

0.80M = 70+0.60M

0.80-0.60M = 70

0.20M = 70

M = 70/0.20

M = 350 miles

5 0
3 years ago
It snowed 875 inches last winter. This was 5 times the amount that it snowed the previous winter. How much did it snow the previ
Tomtit [17]
875/5=125

It snowed 125 inches the previous year. I hope I helped! :)
6 0
3 years ago
I need help graphing 2x - 6y = 42 I'm just really lazy​
solong [7]

Answer:

We can use slope intercept form to get the points needed. Y= -7+1/3x The points are (0,-7) and (3,-6)

Step-by-step explanation:

Subtract 2x from the left side and place it over to the right side with the 42. Now we have -6y= 42-2x. From here we divide by -6 and we get y= -7+1/3x. We know that are slope is 1/3 which the one is the rise and the 3 is the run. We also know that our y intercept is -7. We plot the points at (0,-7) and (3,-6)

3 0
3 years ago
You can only use the symbols and numbers once and you have to use every number but not all symbols... please answer this first o
valentinak56 [21]
Clarified version: (3•2)9-8=100

7 0
3 years ago
Read 2 more answers
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