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LiRa [457]
3 years ago
11

If you vertically compress the absolute value parent function f(x)=lxl, by a factor of 3, what is the equation of the new functi

on?
A. g(x) = |3x|
B. g(x) = |x-3|
C. g(x) = 1/3x
D. g(x) = 3|x|
Mathematics
1 answer:
ira [324]3 years ago
8 0

Answer:

The equation of the new function will be the option C i.e. g(x) = 1/3lxl

Step-by-step explanation:

As the absolute value parent function is f(x)=lxl.

In order to vertically compress or stretch the parent function, we must have to multiply the function with a constant number.

Lets suppose that constant number is 'a'.

If a function is multiplied with a constant number i.e 'a', the function will compress or stretch depending upon the value of 'a'.

So,

If a > 1, then the function will vertically stretch.  

But, it if 0 < a < 1, then the function will vertically compress.

So, from the available options in the question, the parent function f(x)=lxl will be multiplied by 1/3 if we want to vertically compress the function.

Hence, the equation of the new function

will be the option C i.e. g(x) = 1/3lxl

keywords: absolute value, vertically compression, function

Learn more about compression from /brainly.com/question/11334530

#learnwithBrainly

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Lunna [17]
It gives function: h = -16t^2 + 40
water is when height is 0 so solve for 0= -16t^2 + 40
subtract 40 from both sides: -40 = -16t^2
divide by -16: -40/-16 = t^2
simplify: 5/2 = t^2
square root both sides: 1.58 = t

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6 0
3 years ago
Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives
maks197457 [2]

Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that n = 400, \pi = \frac{280}{400} = 0.7

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

Give the margin of error for the 90% confidence interval.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.645\sqrt{\frac{0.7*0.3}{400}}

M = 0.038

The margin of error for the 90% confidence interval is of 0.038.

8 0
3 years ago
Part A: Determine if the expression is one of our special products. If so, identify it by its general form:
kondaur [170]

Answer:

1.

Part A: Yes, it is (a - b)².

Part B: a² - 2ab + b² => (x - 6)² = x² - 12x + 36.

Part C: x² - 12x + 36.

2.

Part A: Not a special product.

Part B: Binomial distribution => (x + 8)(x + 1) = x² + 9x + 8.

Part C: x² + 9x + 8.

3.

Part A: Yes, it is (a + b)²

Part B: a² + 2ab + b² => (3x + 2)² = 9x² + 12x + 4.

Part C: 9x² + 12x + 4.

4.

Part A: Yes, it is (a + b)(a - b), a difference of squares.

Part B: a² - b² => 4x² - 49

Part C: 4x² - 49

5.

Part A: Not a special product.

Part B: Binomial distribution => (x - 5)(2x - 5) = 2x² - 15x + 25.

Part C: 2x² - 15x + 25

6 0
3 years ago
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hichkok12 [17]

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Step-by-step explanation:srry im doing a thing

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2 years ago
Which of the following represents x = y written in general form? 2 x - y = 0 1/2 x - y = 0 x - 1/2 y = 0
Marta_Voda [28]

Answer:

x - y = 0

Step-by-step explanation:

General form of equation of straight line is

ax + by = c

that is we have to keep terms containing x and y on LHS and term independent of x and y on RHS.

given

x = y

there, no term independent of x and y

now we have to bring y one RHS

for that we subtract y from LHS and RHS

x - y = y -y

=> x - y = 0

Thus, option x - y = 0 is the correct answer.

4 0
3 years ago
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