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sdas [7]
1 year ago
12

Which of the following functions shows the quadratic parent function, F(x)= x2, vertically compressed?

Mathematics
1 answer:
Mekhanik [1.2K]1 year ago
8 0

If the function is vertically compressed, the resulting function will be g(x) = 3/4x^2

<h3>Vertical compression of a function</h3>

Quadratic functions are functions that has a leading degree of 2. Given the parent function f(x) = ax^2

where

2 is the exponent/degree

If the function is vertically compressed, the value of a must be less than 1, hence the possible expression when vertically compressed is g(x) = 3/4x^2

Learn more on vertical stretch here:  brainly.com/question/14325265

#SPJ1

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What is the area of the sector having a radius of 8 and a central angle of 5π3
olganol [36]

Area of a full circle is PI x r^2

Area = 3.14 x 8^2 = 200.96

Area of a sector is area *  central angle / full circle

Area = 200.96 x 5PI/3 / 2PI = 160PI/3

Answer is C.

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Factor completely 16a^3b^7 + 2a^6b^4 - 22a^4b^5
Alina [70]

Answer:

2a^3b^4(8b^3+a^3-11ab)

Step-by-step explanation:

as^3b^4(8b^3) +2a^6b^4-22a^4b^5\\2a^3b^4(8b^3)+2a^3b^4(a^3)-22a^4b^5\\2a^3b^4(8b^3)+2a^3b^4(a^3)+2a^3b^4(-11ab)\\2a^3b^4(8b^3+a^3)+2a^3b^4(-11ab)\\2a^3b^4(8b^3+a^3-11ab)

4 0
3 years ago
The J.O. Supplies Company buys calculators from a non-US supplier. The probability of a defective calculator is 10 percent. If 3
RSB [31]

Answer:

There is a 24.3% probability that one of the calculators will be defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability of a defective calculator is 10 percent.

This means that p = 0.1

If 3 calculators are selected at random, what is the probability that one of the calculators will be defective

This is P(X = 1) when n = 3. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{3,1}.(0.1)^{3}.(0.9)^{2} = 0.243

There is a 24.3% probability that one of the calculators will be defective.

3 0
3 years ago
The regular price for a snowboard is $299.95. It is on sale for 30% off, but 5% sales tax will be applied to the sale price. Cai
rjkz [21]
So, ($299.95)(. 30) = $89.99
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No, she can't afford it
7 0
3 years ago
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