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Kisachek [45]
3 years ago
10

Let f(x)=3x+5 and g(x)=x^2 find f(x).g(x)

Mathematics
1 answer:
Alina [70]3 years ago
6 0
Assuming you want them multiplied


f(x)*g(x)=(3x+5)(x^2)=3x³+6x²
You might be interested in
60 min is 20%of blank min
enot [183]

Answer:

20% of the number is 60.

100% of the number is therefore (100/20) x 60 = 5 x 60 = 300

Step-by-step explanation:

Explanation:

No further explanation required really!


4 0
3 years ago
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines
storchak [24]

Answer:

The null hypothesis is H_o: \mu = 4.

The alternate hypothesis is H_a: \mu \neq 4

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

H_o: \mu = 4

At the alternate hypothesis we test if it is different. So

H_a: \mu \neq 4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that \mu = 4

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that n = 196, X = 4.14

He knows that the population standard deviation is 0.83 cm.

This means that \sigma = 0.83

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}

z = 2.36

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

5 0
2 years ago
What is an equivalent expression to 4m+3m +m
valina [46]
4m + 3m + m.          Add it all.

= 7m
3 0
3 years ago
What are the coordinates of the intersection of the graphs of 3x - y^2 = 12 and y = -3
inessss [21]

Answer:

(7,-3)

Step-by-step explanation:

y = -3

substitute in the first equation

3x - y^2 = 12

3x - (-3)^2 = 12

3x - 9 = 12

3x = 12 + 9

3x = 21

x = 7

coordinates of intersection (7,-3)

3 0
2 years ago
Zolox worked 38 hours last week. He had $88 deducted from his earnings for taxes. If he had $273 left after the deduction, how m
Virty [35]
273+88=361
361/38=9.5 
Zolox made $9.50 per hour
6 0
3 years ago
Read 2 more answers
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