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Viktor [21]
3 years ago
7

Let f(x)=4x^2+6 . The function g(x) is f(x) translated 4 units down. Enter the equation for g(x) in the box. g(x) =

Mathematics
2 answers:
Dima020 [189]3 years ago
8 0

Answer: g(x)=4x^2+2. Hope this helps you pass!

saw5 [17]3 years ago
5 0
F(x)=4x²+6
This parabola intersects y-axis at y=6 ==>f(0) =
if g(x) is translated 4 units down that means the intersection with y-axis will be :

6-4 = 2 ; hence g(x) =4x² + 2
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The area of a rectangle is 6x^2-9x-15. And the length is (2x-5). Which expression best represents the rectangle’s width?
tester [92]
<h2><u>AnswEr :</u> </h2>

The area of the rectangle is of the form 6x² - 9x - 15

Factoring the given expression,

\sf \:  {6x}^{2}  - 9x - 15 \\  \\  \leadsto \:  \sf \:  3\bigg( {2x}^{2}  - 3x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg( {2x}^{2}  - 5x + 2x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg((2x - 5)(x + 1) \bigg)

Length of the rectangle is 2x - 5

Thus,

\leadsto \:  \sf \: (2x - 5)(3x + 3)

<h3>The breadth of the rectangle is 3x + 3 </h3>
4 0
3 years ago
Find the sum: 400 + 394 + 388 + .... - 32
romanna [79]

Answer:

1150 because 400 + 394 + 388 = 1182 - 32 = 1150.

6 0
2 years ago
Read 2 more answers
A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

Answer:

A sample of 16577 is required.

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

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

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

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

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

Rounding up:

A sample of 16577 is required.

8 0
2 years ago
The regular price of a winter coat is $65.50. It is on sale for $52.40. what is the percent decrease of the winter coat
marishachu [46]
I believe the percent decrease is 20%
as when you multiply 65.5 by 20%
it gives you 13.1
when you minus 13.1 from 65.50
it gives you $52.4
6 0
3 years ago
Jim wants to build a rectangular parking lot along a busy street but only has 2 comma 1200 feet of fencing available. If no fenc
IgorC [24]
Sorry I can't find the answer but find other users sorry
5 0
3 years ago
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