20 points! Find the GCF of

3x³y⁵z and 21xy³z⁴.

10. Divide (3x-2)(x-4)-(x-4)(6-5x) / (4-x)(8x-1)

Factor 32x³ – 32x² + 8x by first finding the GCF, then factor the quadratic that is left. Be sure to factor completely and show your work. If this is not possible for some reason, state why.

Factor x² + 9 using any method you choose. Show your work. If this is not possible for some reason, state why.

19. The product of two consecutive positive integers is 42. Write and solve a quadratic equation to find the solutions. Then show how you use those solutions to find the two consecutive positive integers.

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

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step-by-step explanation:

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