All categories

2 years ago

6. Write an equation of a line parallel to y = 3x + 9 and goes through the point (-1,5).

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

4 0

Answer: The equation parallel to the line is y=3x+8

Step-by-step explanation: Parallel lines have the same gradients, wr have a gradient for the above line which 3. The standard formula for the linear equation is y=mx+c

We have to calculate c since we have x and y.

y=mx+c

5= 3(-1)+c

c=8

The equation become y=3x+8

You might be interested in

Bobby is testing the effectiveness of a new cough medication. There are 100 people with a cough in the study. Seventy patients r

Tresset [83]

Answer:

0.665

Step-by-step explanation:

Given: 100 people are split into two groups 70 and 30. I group is given cough syrup treatment but second group did not.

Prob for a person to be in the cough medication group = 0.70

Out of people who received medication, 34% did not have cough

Prob for a person to be in cough medication and did not have cough

= $\frac{0.70(34)}{60}=0.397$

Prob for a person to be not in cough medication and did not have cough

= $\frac{0.3(20)}{30}=0.20$

Probability for a person not to have cough

= P(M1C')+P(M2C')

where M1 = event of having medication and M2 = not having medication and C' not having cough

This is because M1 and M2 are mutually exclusive and exhaustive

SO P(C') = 0.397+0.2=0.597

Hence required prob =P(M1/C') = $\frac{0.397}{0.597}=0.665$

4 0

2 years ago

Read 2 more answers

Calculate a and b if

const2013 [10]

Notice that

$7^{2014} - 7^{2012} = 7^{2012} \bigg(7^2 - 1\bigg) = 7^{2012} \times 48 = 2^4 \times 3 \times 7^{2012}$

$12=2^2\times3$ , so

$\dfrac{7^{2014}-7^{2012}}{12} = 2^2 \times 7^{2012}$

Then taking the positive square root gives

$\sqrt{\dfrac{7^{2014}-7^{2012}}{12}} = \sqrt{2^2 \times 7^{2012}} = 2\times7^{1006}$

so $\boxed{a=2}$ and $\boxed{b=1006}$ .

4 0

1 year ago

The guidance department has reported that of the senior class, 2.3% are members of key club, K, 8.6% are enrolled in AP physics,

Levart [38]

P(P|K) = 82.6%.

P(P|K) = P(K and P)/P(K) = 1.9%/2.3% = 0.019/0.023 = 0.8261 = 82.6%

4 0

2 years ago

Read 2 more answers

Mr. Perkins has \$ 120$120 in a savings account. The annual percentage rate is 4.25\%4.25% compounded monthly. How much will he

igor_vitrenko [27]

Answer:

$132

Step-by-step explanation:

obv

8 0

2 years ago

haha 6 days of history, 3 weeks of math, and 1 week of english all to do tn. It's currently 9:27. oh well who cares aha kinda fu

Mashcka [7]

Answer:

oop... glll

Step-by-step explanation:

have u uploaded any? Maybe I can help

4 0

2 years ago

Read 2 more answers