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Natalija [7]
2 years ago
8

Factor: p2−6−q(p2−6)2

Mathematics
1 answer:
Masteriza [31]2 years ago
6 0

Answer:

(p2−6)(1−2q)

Step-by-step explanation:

hope this helped <3

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Ishan and Hazel plan to retire at age 60 with a retirement income of $48,000 a year from their savings. Rather than pay themselv
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Answer:

5

Step-by-step explanation:

8 0
2 years ago
43 coins, no nickels, $4.51 equal amount amount of pennies and dimes, how many of each coin
Sonbull [250]
Set up
Let the dimes = d
Let the pennies = p
Let the quarters = q

Equations
You cannot mean that the pennies and dimes have equal numbers. That would mean that each had 21.5 members. Now could you mean that the dime and penny amount could be the same with 43 coins that total 4.00. Four dollars means that you need 40 dimes alone. It must mean that you are including quarters. 

p + d + p = 43          (1)
p = d                        (2)
p +10d +25q = 451  (3)

Note how this last equation = was derived. You have to multiply the dimes by 10 and he quarters by 100 and the total by 100 to get the numbers all in pennies.

Put the results of 2 into 1.
2p  + q = 43                   (4)  
You need to modify equation 3 as well.
p + 10p + 25q = 451
11p + 25q  = 451           (5)

Solve the new equations
2p +  q = 43               (4)
11p + 25q = 451        (5)

Multiply 4 by 25
25(2p- + q = 43)
50p + 25q = 1075     (6)  Subtract (5) from (6)
<u>11p + 25q = 451
</u>39p = 624                        Divide by 39
p = 624 / 39
p = 16

Since the pennies and dimes are equal there are 16 dimes
p + d + q = 43
16 + 16 + q = 43
32 + q = 43
q = 11

Check
16 + 10*16 + 11*25 = ?
16 + 160 + 275  = ?
451 = ?

Nice problem. Thanks for posting.
3 0
3 years ago
Identify the type of observational study​ (cross-sectional, retrospective, or​ prospective) described below. A research company
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Answer:

Cross Sectional

Step-by-step explanation:

A cross sectional is one in which an association is developed between a risk factor or an outcome.

In the given question the device is used to record the viewing habits of about 2500 ​households, and the data collected today will be used to determine  the proportion of households tuned to a particular news program. There will be risk factor in today's research with the future developed program which will the outcome.

For example there are 20 students in my class who cannot write. So I develop a program to help them write. But the next year there may not be any student who would require such help.So there's a risk factor associated with the outcome.

Cross sectional results are recorded in a two ways table showing do's and don'ts.

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2 years ago
19) It will cost $12.50 per person to make dinner. Write an
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Answer:

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Step-by-step explanation:

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3 years ago
Find the value of x in the figure. A. 6 C. 3 B. 5 D. 7
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You didn’t provide a picture
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3 years ago
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