Answer:
p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
Answer:
Mary bought 9 Golden Delicious apples
Step-by-step explanation:
This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.

I prefer to solve using substitution, but elimination can be used as well

We can now plug in this g value to the first equation

This means mary bought 13 delicious apples. She bought 22 apples in total, so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.
22 - 13 = g
9 = g
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Answer:
Step-by-step explanation:
<u>Number of those drive to school:</u>
<u>Number of those don't drive:</u>
<u>Probability:</u>
- P(Drive to school ' ) = 60/100 = 3/5
1/2, 4/8, etc. Because they all equal to one half. <span />
Let x = the amount of time that the third person needs to work on the job to add up to one
1 = 1/2 + 1/3 + x
1 - 1/2 - 1/3 = x
To subtract the fractions we need to put them all over a common denominator. Let's use 3*2 = 6 as the denominator; so 1 = 6/6, 1/2 = 3/6, 1/3 = 2/6:
6/6 - 3/6 - 2/6 = x
1/6 = x
The third person must work 1/6 time on the project.