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klio [65]
3 years ago
14

Multiply. (d+7)(d-7) Simplify your answer.

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

\huge\boxed{(d+7)(d-7)=d^2-49}

Step-by-step explanation:

\bold{METHOD\ 1:}\\\\(d+7)(d-7)\qquad|\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=d^2-7^2=d^2-49\\\\\bold{METHOD\ 2:}\\\\(d+7)(d-7)\qquad|\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(d)(d)+(d)(-7)+(7)(d)+(7)(-7)\\\\=d^2-7d+7d-49\qquad|\text{combine like terms}\\\\=d^2+(-7d+7d)-49\\\\=d^2-49

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Which order pair is a solution of the inequality 4x – 2y > 20?
Alona [7]
Let's solve for all of the ordered pairs...

A. (2,-7)

4x-2y>20
4(2)-2(-7)>20
8+14>20
22>20
True

B. (-2,-7)

4x-2y>20
4(-2)-2(-7)>20
-8+14>20
6>20
Not true

C. (-2,7)
4x-2y>20
4(-2)-2(7)>20
-8-14>20
-22>20
Not true

D. (2,7)
4x-2y>20
4(2)-2(7)>20
8-14>20
-6>20
Not true

A is the correct answer
3 0
3 years ago
Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation Ï =20 . Find the
MArishka [77]

Answer:

0.68268

Step-by-step explanation:

We solve using z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = 85

z = 85 - 105/20

z = -1

Probability value from Z-Table:

P(x = 85) = 0.15866

For x = 125

z = 125 - 105/20

z = 1

Probabilty value from Z-Table:

P(x = 125) = 0.84134

The probability that a randomly selected adult has an IQ between 85 and 125 is calculated as:

P(x = 125) - P(x = 85)

= 0.84134 - 0.15866

= 0.68268

5 0
3 years ago
-p^3+2p^2-p polynomial
Anastaziya [24]

Answer:

Not a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by  

+

or  

−

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

8 0
3 years ago
Pls help and show workings due ASAP
Fed [463]

Answer:

goodluck

Step-by-step explanation:

7 0
3 years ago
Here are 36 points lovely person but first any advice for a student - kid
Brilliant_brown [7]
I don’t have much advice, but I would make yourself a schedule and a to-do list so you stay in track, and know what you’re doing each day so you can hold yourself accountable and can’t have any excuses about “not knowing about the work” because if you’re organized and get it done fast, you will be able to know about all of you work and have beTter grades since you have more time to learn the material and turn it in on time

Thanks for the points lol
5 0
3 years ago
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