All categories

3 years ago

Find the value of f(–3) and g(3) if f(x) = –6x + 3 and g(x) = 3x + 21x–3.

Mathematics

1 answer:

ryzh [129]3 years ago

3 0

Answer:

f(-3) = 21

g(3) = 69

Step-by-step explanation:

We have been given the following functions;

f(x) = –6x + 3

g(x) = 3x + 21x–3.

To find f(-3) , we simply substitute x = -3 in the function of f(x);

f(-3) = -6(-3) + 3

= 21

To find g(3) , substitute x = 3 in the function of g(x);

g(3) = 3(3) +21(3) - 3

= 69

You might be interested in

Find the Unit Rate: If 10 30.5 oz containers cost $70 how much does one container cost?

sleet_krkn [62]

Answer:

Step-by-step explanation:

70 / 10 = 7

4 0

2 years ago

Read 2 more answers

A parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of the number

Veseljchak [2.6K]

Given:
hours parking charge
4 5.50
7 7.75

7 - 4 = 3 hours
7.75 - 5.50 = 2.25

2.25 / 3 = 0.75

0.75 is the change in amount for every hour spent. It is the variable unit rate

4 hours is 5.50.

Cost of parking for 3 hours is: 5.50 - 0.75 = 4.75

0.75 x 4 hours = 3
5.50 - 3 = 2.5 fixed charge.

total parking charge: y = 2.50 + 0.75x

5 0

3 years ago

Read 2 more answers

Solve for x: 5x - 18 = -8

denpristay [2]

Answer:

x = 2

Step-by-step explanation:

5x - 18 = -8

+18 +18

5x = 10

5x/5 = 10/5

x = 2

5 0

2 years ago

11. Ms. Green tells you that a right triangle has a hypotenuse of 13 and a leg

Bad White [126]

Answer:

Step-by-step explanation:

we use Pythagoras law

√13^2-5^2

8 0

3 years ago

A simple random sample of size nequals15 is drawn from a population that is normally distributed. The sample mean is found to be

Bond [772]

Answer with explanation:

To test the Significance of the population which is Normally Distributed we will use the following Formula Called Z test

$z=\frac{\Bar X - \mu}{\frac{\sigma}{n}}$

$\Bar X =31.1\\\\ \sigma=6.3\\\\ \mu=25\\\\n=15\\\\z=\frac{31.1-25}{\frac{6.3}{\sqrt{15}}}\\\\z=\frac{6.1\times\sqrt{15}}{6.3}\\\\z=\frac{6.1 \times 3.88}{6.3}\\\\z=3.756$

→p(Probability) Value when ,z=3.756 is equal to= 0.99992=0.9999

⇒Significance Level (α)=0.01

We will do Hypothesis testing to check whether population mean is different from 25 at the alpha equals 0.01 level of significance.

→0.9999 > 0.01

→p value > α

With a z value of 3.75, it is only 3.75% chance that ,mean will be different from 25.

So,we conclude that results are not significant.So,at 0.01 level of significance population mean will not be different from 25.

3 0

3 years ago