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3 years ago

If f(x) - 3x? and g(x) = x+2, find (f•g)(x).

Mathematics

1 answer:

hammer [34]3 years ago

6 0

Answer:

$-3x^{2} -6x$

Step-by-step explanation:

f(x)= - 3x

g(x) = x+2

(f•g)(x)

f(x) • g(x)

plug in

-3x • x+2

-3x(x+2)

distribute the -3x

$-3x^{2} -6x$

hope this helps!

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To most closely estimate the difference below, would you round the numbers to the nearest ten thousand, the nearest thousand, or

zhannawk [14.2K]

Answer:

To most closely estimate the difference, I would round 62,980 to the nearest thousand, so it will be 63,000. That is because when rounding, 63,000 is large enough so that adding will be easy, and 62,980 is relatively close to 63,000.

I would round 49,625 to the nearest thousand, since it would make the subtraction easier and 49,625 is only 375 units away from 50,000.

63,000 - 50,000 = about 13,000.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Pls answer correctly I’ll give you brainliest

Montano1993 [528]

The answer is 0, as there is no slope going up or down.

6 0

3 years ago

The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in

oksano4ka [1.4K]

Answer:

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

$p_v =P(Z>2)=0.0228$

Step-by-step explanation:

1) Data given and notation

$\bar X=8300$ represent the sample mean

$\sigma=1200$ represent the population standard deviation

$n=64$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

4) P-value

Since is a one-side upper test the p value would given by:

$p_v =P(Z>2)=0.0228$

5) Conclusion

If we compare the p value and the significance level assumed, for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.

4 0

2 years ago

Caroline needs to find 15% of $128, but she doesn’t have a calculator. Thoroughly Explain how she can do this mentally, detailin

Solnce55 [7]

So multiply 128 by 15 to get 1920 and then move the decimal over two places to get 19.20 and then subtract that $19.20 from $128 to get $108.8

3 0

3 years ago

Bella wants to know how tall the oak tree in her back yard is, so she picks

melamori03 [73]

Answer:

B = 62.9ft

Step-by-step explanation:

The distance where she is from the oak tree is 75ft,

The angle of elevation the stone makes with the top of the oak tree is 40°

The height of the tree is x ft

See attached document for better illustration

Using SOHCAHTOA,

Tanθ = opposite/ adjacent

θ = 40°

Opposite = x ft

Adjacent = 75ft

Tan40 = x / 75

X = 75 × tan40

X = 75 × 0.8390

X = 62.92ft

The height of the oak tree is 62.9ft

5 0

2 years ago