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Andrews [41]
3 years ago
7

Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find

Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

(f-g)(x)=x^2-4x-21

Step-by-step explanation:

We are given the two functions:

f(x)=x^2-3x-28\text{ and } g(x)=x-7

And we want to find:

(f-g)(x)

This is equivalent to:

=f(x)-g(x)

Substitute:

=(x^2-3x-28)-(x-7)

Distribute:

=x^2-3x-28-x+7

Rearrange:

=(x^2)+(-3x-x)+(-28+7)

Hence:

(f-g)(x)=x^2-4x-21

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Answer:

I think it is 10x +40

Step-by-step explanation:

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3 years ago
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Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can
Margarita [4]

Answer:\frac{140}{3} weeks

Step-by-step explanation:

Given

It takes 14 weeks to empty a lake

also it takes 20 weeks for a river to fill the lake

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Part of lake filled in 1 week is =\frac{1}{20}

And if both works simultaneously then

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3 years ago
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Firlakuza [10]

Answer: A.Median; because the data is not symmetric and there are outliers

Step-by-step explanation:

From the given dot plot , we can see that the data plot is skewed not symmetric .

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We know that the median provides better description of the center of the data then mean when the data is skewed.

Therefore , the median is a better center for this data because the data is not symmetric and there are outliers.

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3 years ago
Shawn uses 45N of force to stop the cart 1 meter from running his foot over. How much work does he do?​
zalisa [80]

Answer:

\boxed {\boxed {\sf 45 \ Joules}}

Step-by-step explanation:

Work can be found by multiplying the force by the distance traveled in the direction of the force.

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The distance traveled is 1 meter.

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Substitute the values into the formula.

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Multiply.

W=45 \ N*m

1 Newton meter is equal to 1 Joules.

Therefore our answer of 45 Newton meters is equal to 45 Joules.

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The work done is <u>45 Joules.</u>

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