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sergey [27]
3 years ago
13

Write the point slope equation of the line through (7,-2) with slope of 1/2.

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

Answer:

y = 0.5x - 5.5

Step-by-step explanation:

slope = 0.5, so this is the x coefficient.

y intercept = -2 - (7 x 0.5) = -5.5

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Jacob is a plumber. Due to increased material costs, he puts all his prices up by 7%. He now chargers R320 per hour for her serv
Lorico [155]

Answer:

R290.1

Step-by-step explanation:

Let

x = charge before he put his prices up

New charge = R320

Percentage increase in price = 7%

x + 7% of x = 320

x + 0.07 * x = 320

x + 0.07x = 320

1.07x = 320

x = 320/1.07

x = 299.06542056074

Approximately

x = R290.1

Charge before he put his prices up = R290.1

4 0
2 years ago
If f(1) = 10 and f(n) = f(n = 1) – 4 then find the value of f(5).
svetoff [14.1K]

Given:

f(1)=10 and f(n)=f(n-1)-4.

To find:

The value of f(5).

Solution:

We have,

f(n)=f(n-1)-4

For n=2,

f(2)=f(2-1)-4

f(2)=f(1)-4

f(2)=10-4

f(2)=6

For n=3,

f(3)=f(3-1)-4

f(3)=f(2)-4

f(3)=6-4

f(3)=2

For n=4,

f(4)=f(4-1)-4

f(4)=f(3)-4

f(4)=2-4

f(4)=-2

For n=5,

f(5)=f(5-1)-4

f(5)=f(4)-4

f(5)=-2-4

f(5)=-6

Therefore, the value of f(5) is -6.

5 0
3 years ago
For his job, Jayden earns 12% commission on his total sales. Show your work
Svetach [21]

Answer:

$107.40

for the second one i want to say 15%

Step-by-step explanation:

6 0
2 years ago
A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit surv
lys-0071 [83]

Answer:

Population mean = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

            of  novels that seniors read during their time in college. An exit

            survey was conducted with a random sample of 9 seniors. The

            sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

              been met, which of the following is a 94.645% confidence

              interval for the population mean number of novels read by

              all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

                                = n - 1

                                = 9 - 1

                                = 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

   =1 - 0.94645

  =0.05355 ≈ 0.05

⇒α = 0.5

Now,

\frac{\alpha}{2} = \frac{0.05}{2}

  = 0.025

Then,

t_{\frac{\alpha}{2}, df }  = 2.306

∴ we get

Population mean = x⁻ ± t_{\frac{\alpha}{2}, df } ×\frac{s}{\sqrt{n} }

                           = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

⇒Population mean = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

3 0
3 years ago
Read 2 more answers
Solve the following equations.<br> 43xx−1 = 32
kotykmax [81]
This is the answer.

3 0
3 years ago
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