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klemol [59]
3 years ago
15

Find the product: (r+2)(r-5)(r-2)(r+5) Please show all steps. 15 points.

Mathematics
2 answers:
Virty [35]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:

r^4- 29r^2 + 100

Discussion:

Rearrange the terms in the product as follows:

(r+2)(r-2) *  (r-5)(r+5)  =

(r^2 - 4) * (r^2-25) =

f^4 - (25+4)r^2 + 4*25 =

r^4- 29r^2 + 100

Thank you,

MrB

adelina 88 [10]3 years ago
7 0

by rearranging and foiling them

(r+2)(r-2)(r+5)(r-5)

{r }^{2}  - 4

{r}^{2}  - 25

now foil them

r^4-25r^2-4r^2+100

r^4-29r^2+100

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(A + B)/2 = M

So if we are looking for A, we can solve for A and use this modified formula.

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6 0
3 years ago
Hi can some please help?
Oduvanchick [21]
So I'm assuming that you're taking Calculus.
The first thing you want to do is take the integral of f(x)...
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4X^2-13X+3.
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Now you get X=0.25 and X=3. Since we are working in the interval of (1,4), we can ignore 0.25
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3 0
3 years ago
To change a recipe that serves 8 to make it serve 5, by what fraction would you multiply each ingredient?
NARA [144]
Let, that fraction = x
So, 8 * x = 5
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In short, Your Answer would be 5/8

Hope this helps!
8 0
3 years ago
Rabekah is filling a cube-shaped box with small cubes. the volume of each of these cubes is 1 cubic centimeter. She has already
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8 0
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A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste
Oxana [17]
Given that X <span>be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02


Part A:

</span><span>The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

</span>P(X)={ ^nC_xp^x(1-p)^{n-x}} \\  \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\  \\ =1(1)(0.98)^{30}=0.5455
<span>

Part B:

The mean of a binomial distribution is given by

</span>\mu=np \\  \\ =30(0.02) \\  \\ =0.6
<span>
The standard deviation is given by:

</span>\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\  \\ =0.7668
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Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.</span>
5 0
3 years ago
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