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allsm [11]
2 years ago
12

Can you evaluate (g ○ f)(0)? Explain why or why not.

Mathematics
2 answers:
chubhunter [2.5K]2 years ago
6 0

Answer:

No you can't because just like multiplication, you cant divide anything by zero.

Step-by-step explanation:

You must evaluate the function f first.  Division by 0 is undefined.

Therefore, The composition cannot be evaluated.

Snowcat [4.5K]2 years ago
4 0

Answer:

sample answer on edg2020

Step-by-step explanation:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

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If q is inversely proportional to r squared and q=30 when r=3, find r when q=1.2
beks73 [17]

Answer:

r = 3

Step-by-step explanation:

q = k / r^{2}

k = qr^{2} = 1.2 x 3 x 3 = 10.8

q = 10.8/r^{2}

1.2 = 10.8/r^{2}

r = \sqrt{10.8 /1.2} = 3

4 0
1 year ago
The course length of the Boston Marathon is about 4.2×104 meters. The course length of the Iditarod Trail Invitational ultra-mar
GREYUIT [131]

Answer:

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

Step-by-step explanation:

Let

x -----> the length of the Boston Marathon in meters

y -----> the  length of the Idita rod Trail Invitational ultra-marathon in meters

we have

x=4.2*10^4\ m

y=1.6*10^6\ m

we know that

To find out how many times as long is the course of the Idita rod Trail ultra-marathon as that of the Boston Marathon, divide the length of the Idita rod Trail Invitational ultra-marathon by the length of the  Boston Marathon

so

\frac{y}{x}

\frac{x}{y}=\frac{1.6*10^6}{4.2*10^4}

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

\frac{1.6*10^6}{4.2*10^4}=\frac{1.6}{4.2}*(10^{6-4})=0.381*(10^{2})=38.1

therefore

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

5 0
2 years ago
In order to produce 100 oatmeal cookies, Goodie Cookie Co. incurs an average total cost of $0.25 per cookie. The company’s margi
amm1812

Answer:

Option D : $20

Step-by-step explanation:

The average total cost to produce 100 oatmeal cookie = $0.25 per cookie.

So, total cost for 100 cookies will be = 0.25\times100=25 dollars

The company’s marginal cost is constant at $0.10 for all oatmeal cookies produced.

When 50 cookies are produced, the marginal cost will be = 0.10\times50=5dollars

The total cost to produce 50 oatmeal cookies = 25-5=20 dollars

Hence, option D is correct.

8 0
2 years ago
ABCD is a parallelogram. E is the point where the diagonals AC and BD meet. Prove that triangle ABE is congruent to triangle CDE
Darina [25.2K]
ABCD is a parallelogram                  Given
AE=CE, BE=DE                                <span>The diagonals of a parallelogram are                                                                     bisect each other
</span>∠AEB=∠CED                                    Vertical angles are congruent
ΔABE is congruent to ΔCDE            SAS theorem<span>
</span>
5 0
1 year ago
Read 2 more answers
If the sample space S is an infinite set, does this necessarily imply that any random variable X defined from S will have an inf
alekssr [168]

Answer: no

Step-by-step explanation: see attachment

4 0
1 year ago
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