All categories

3 years ago

Write an equation for a line that goes through (3, -7) and is parallel to the line y = 2x – 17

Mathematics

1 answer:

Georgia [21]3 years ago

4 0

Answer:

y = 2x – 17 -paralels have the same slope:

y=mx+b

y=2x+b

-7=2(3)+b

-7=6+b

-13=b

y=2x-13 is your answer

Step-by-step explanation:

You might be interested in

A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper clai

Savatey [412]

Answer:

P=0.3726 or 37.26%

Step-by-step explanation:

The success, with 41% of probability of occurring, is that the employee believes the company's president possesses low ethical standards. For more than 8 and less than 12 successes, it means the probability of having 9, 10 or 11 successes (all these summed).

The formula is:

$b(x;n,p)= \ _nC_x*p^x*(1-p)^{n-x}$

Where x is the number of successes,n the number of trials, p the probability of success, $_nC_x$ refers to the combinations that can occur, and it's formula is:

$_nC_x=\frac{n!}{x!(n-x)!}$

Calculating each case:

$b(9,20,0.41)=\frac{20!}{9!(20-9)!}*0.41^9*(1-0.41)^{20-9}=0.1658$

$b(10,20,0.41)=\frac{20!}{10!(20-10)!}*0.41^{10}*(1-0.41)^{20-10}=0.1267$

$b(11,20,0.41)=\frac{20!}{11!(20-11)!}*0.41^{11}*(1-0.41)^{20-11}=0.0801$

Adding each case:

$P=0.1658+0.1267+0.0801= 0.3726$

5 0

3 years ago

99 pints = how many quarts

Elza [17]

99 pints = 49.5 quarts

8 0

3 years ago

Read 2 more answers

Please solve with explanation

mars1129 [50]

9514 1404 393

Answer:

4 : 1

Step-by-step explanation:

Each segment joining midpoints is called a "midline." It is parallel to the segment not being joined, and is half its length. All the dimensions of the smaller triangle are half those of the larger triangle. (They are similar triangles.) The ratio of areas is the square of the ratio of side lengths:

2² : 1² = 4 : 1 . . . . . . ratio of triangle areas

6 0

2 years ago

4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

$A(t)=P(1+r)^t$

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:

$33800=4400(1+.075)^t$ and

$33800=4400(1.075)^t$

Begin by dividing both sides by 4400 to get

$7.681818182=1.075^t$

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

$ln(7.6181818182=ln(1.075)^t$