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3 years ago

Explain to an absent student how to subtract polynomials. Use complete sentences or examples in your explanation.

Mathematics

1 answer:

marishachu [46]3 years ago

5 0

Answer:

Subtracting Polynomials is very similar to adding polynomials. In fact, we will be changing the subtraction problem to an addition problem.

In the Pre-Algebra section of the website, we started out by reviewing integers.

We said, "When you subtract integers, you must add the opposite. We also talked about the Keep - Change- Change Rule. That rule applies to polynomials as well.

Take a look at these examples that show you how to rewrite the problem as an additional problem.

Step-by-step explanation:

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You have decided to invest $1000 in a savings bond that pays 4% interest, compounded semi-annually. What will the bond be worth

Evgen [1.6K]

Answer:

$2191.12

Step-by-step explanation:

We are asked to find the value of a bond after 10 years, if you invest $1000 in a savings bond that pays 4% interest, compounded semi-annually.

$FV=C_0\times (1+r)^n$ , where,

$C_0=\text{Initial amount}$ ,

r = Rate of return in decimal form.

n = Number of periods.

Since interest is compounded semi-annually, so 'n' will be 2 times 10 that is 20.

$4\%=\frac{4}{100}=0.04$

$FV=\$1,000\times (1+0.04)^{20}$

$FV=\$1,000\times (1.04)^{20}$

$FV=\$1,000\times 2.1911231430334194$

$FV=\$2191.1231430334194$

$FV\approx \$2191.12$

Therefore, the bond would be $2191.12 worth in 10 years.

3 0

3 years ago

Civil an airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. the airport

vekshin1

Answer:

<em>The shortest possible length for the service road is 2.88 miles.</em>

Step-by-step explanation:

According to the below diagram, $A, B$ and $C$ are the positions of airport, shopping center and factory respectively.

Given that, $AB= 3.6 miles, BC= 4.8 miles$ and $AC= 6.0 miles$

In right triangle $ABC$

$tan(\angle ACB)=\frac{AB}{BC} \\ \\ tan(\angle ACB)= \frac{3.6}{4.8}=0.75\\ \\ \angle ACB= tan^-^1(0.75)=36.8698.... degree$

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is $BD$ .

That means, $\triangle BCD$ is also a right triangle in which $\angle BDC=90\°$ , Hypotenuse $(BC)= 4.8$ miles and $BD$ is the opposite side in respect of $\angle DCB$ or $\angle ACB$ .

Now in right triangle $BCD$

$Sin(\angle ACB)=\frac{BD}{BC}\\ \\ Sin(36.8698...)=\frac{BD}{4.8}\\ \\ BD=4.8*Sin(36.8698...)=2.88$

So, the shortest possible length for the service road is 2.88 miles.

4 0

4 years ago

Determine the surface area from the folllowing nets. Type the answer in the space provided (no units needed). If the answer is c

frosja888 [35]

Answer:

1.) 138

2.) 55

Step-by-step explanation:

1.) 8 x 6 = 48 x 2 = 96

(middle) 8 x 3 = 24

(triangles) 6 x 3 = 18 divided by 2 = 9 x 2 = 18

96 + 24 + 18 = 138

2.) (middle) 5 x 5 = 25

(triangles) 5 x 3 = 15 divided by 2 = 7.5 x 4 = 30

30 + 25 = 55

Hope this helped!!

8 0

3 years ago

Mary Stevens earns $6 an hour at her job and she is entitled to time and a half for overtime and double time on holidays. Last w

dimulka [17.4K]

Answer:

$394.5

Step-by-step explanation:

40 x 6 = 240

6.5 x 9 = 58.5

(6 x 2) x 8 = 96

240 + 58.5 + 96

3 0

3 years ago

Which relationship is likely ONLY a correlation and NOT one of causation? A) As the temperature increases, the number of air con

Oksanka [162]

Answer: The answer is (C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases.

Step-by-step explanation: We are given four options out of which we are to select which relationship is likely ONLY a correlation and NOT one of causation.

Causation is defined as the determination of the cause or reason for some sort of phenomenon while a correlation is simply a recognised relationship between two things or events, but it does not imply causation.In cases of correlation, one thing or event predicts another.

So, in the options (A), (B) and (D), we can see both correlation and causation simultaneously, but in option (C), we can only see correlation, NOT causation.

Thus, the correct option is (C).

6 0

3 years ago