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lord [1]
3 years ago
7

Factor the following quadratic expression. 2p2−19p+35 I don't get this

Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

(p - 7)(2p - 5)

Step-by-step explanation:

2 {p}^{2}  - 19p + 35 \\  \\  = 2 {p}^{2}  - 14p - 5p + 35 \\  \\  = 2p(p - 7) - 5(p - 7) \\  \\  = (p - 7)(2p - 5)

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2 years ago
gabby's piggy bank contains dimes and nickels worth $6.40. If she has 84 coins in all, how many of each does she have?
Sergeu [11.5K]
If we let Q be the number of quarters and N be number of nickels, this is the formula we would use:
[1] 25Q + 5N = 635 (using cents instead of dollars)


We also know something about Q and N.

[2] Q + N = 51


So multiply both sides of the second equation by 5. The reason we do this is because we're going to need to cancel out one of the variables (either Q or N) to solve for the other one. If we multiply times 5, we'll have 5N in both equations.
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Now we have two equations, and the second one can be subtracted from the first.

25Q + 5N = 635
-(5Q + 5N) = -255
---------------------
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so
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