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3 years ago

Equation of line through (-3,7) with slope of 4 is?

Mathematics

1 answer:

Kay [80]3 years ago

6 0

Answer & Step-by-step explanation:

First, we know what the formula is for y-intercept slope form.

$y=mx+b$

Since, we have coordinate points and the slope, then we can use these numbers to find the y-intercept, <em>b</em>.

$7=4(-3)+b$

$7=-12+b$

$19=b$

So, the equation of the line that passes through (-3, 7) with a slope of 4 is..

y = 4x + 19

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Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card. What is the probabilit

DaniilM [7]

Answer:

$\frac{1}{208}$

Step-by-step explanation:

We have been given that Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card.

Let us find probability of getting a club.

$\text{ Probability of getting a club}=\frac{13}{52} =\frac{1}{4}$

Now let us find probability of getting the ace of spades.

$\text{ Probability of getting ace of spades}=\frac{1}{52}$

Now let us multiply these to find probability of getting a club and ace of spades.

$\text{ Probability of getting a club and then ace of spades}=\frac{1}{4}*\frac{1}{52}=\frac{1}{208}$

Therefore, probability of getting a club and then the ace of spades $\frac{1}{208}$ .

8 0

3 years ago

Ron earns a 15% commission on his sales in addition to a $1500 monthly salary. Determine his monthly sales goal if he budgets $3

Anastasy [175]

Answer:

His monthly sales goal if he budgets $3750 as his monthly income is $15000.

Step-by-step explanation:

From the information given, the formula to calculate the salary that Ron earns would be:

Total salary=1500+0.15*(monthly sales)

Now, you can replace the total salary and he budgets $3750 as his monthly income and solve for the monthly sales:

3750=1500+0.15*(monthly sales)

3750-1500=0.15*(monthly sales)

monthly sales=2250/0.15

monthly sales=15000

According to this, the answer is that his monthly sales goal if he budgets $3750 as his monthly income is $15000.

5 0

2 years ago

Please Help! I will give you a lot of points! (6.3)

Mandarinka [93]

Let x be the yearly salary of an architect. Then the yearly salary of a lawyer is 2x-20000.

We can build an equation now! x+(2x-20000)=211000, because the yearly salary of an architect plus the yearly salary of a lawyer is 211000.

We combine like terms to get 3x-20000=211000.

We add 20000 to both sides to get 3x=231000.

We divide both sides by 3 to get x=77000, so the average yearly salary of a lawyer is 77000.

Then, the average yearly salary of an architect is 2(77000)-20000=154000-20000=134000, so the average yearly salary of an architect is 134000.

8 0

3 years ago

Duke has a spinner that is divided into six equal-sized sections. Each section is a different color. He spun the spinner multipl

N76 [4]

Answer:

C. 1/6

Step-by-step explanation:

The experimental probability is the probability that is obtained by dividing the number of times the required outcome has occurred by the total number of trials.

In the experiment given the color red is one of the six possible outcomes and the next time the experiment is performed the number of trials would be 1

so the experimental probability would be 1/6

If the previous number of trials were given then the probability would have been different.

6 0

3 years ago

Read 2 more answers

The coldest temperature recorded in Alaska was –80°F. This was 10°F warmer than the coldest temperature recorded in Siberia. Whi

Klio2033 [76]

The equation that can be used to find the coldest temperature recorded in Siberia is y + 10 = -80

Let the coldest temperature in Alaska be x

The coldest temperature recorded in Alaska was –80°F

x = –80°F

Let the coldest temperature in Siberia be y

The coldest temperature recorded in Alaska was 10°F warmer than the coldest temperature recorded in Siberia

This can be interpreted as:

Coldest temperature in Alaska = Coldest temperature in Siberia + 10

x = y + 10................(*)

Since x = -80

Substitute x = -80 into equation (*)

-80 = y + 10

This can be re-written as:

y + 10 = -80

The equation that can be used to find the coldest temperature recorded in Siberia is y + 10 = -80

Learn more here: brainly.com/question/2159099

7 0

2 years ago