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4 years ago

13

the product of two consecutive even positive integers is 10 more than seven times the larger . find the integers?

1 answer:

Andreas93 [3]4 years ago

4 0

2 consecutive even numbers.....x and x + 2

x(x + 2) = 7(x + 2) + 10
x^2 + 2x = 7x + 14 + 10
x^2 + 2x = 7x + 24
x^2 + 2x - 7x - 24 = 0
x^2 - 5x - 24 = 0
(x - 8)(x + 3) = 0

x - 8 = 0
x = 8

x + 3 = 0
x = -3...not this one because it is negative

x = 8
x + 2 = 8 + 2 = 10

so ur 2 consecutive even numbers are 8 and 10

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Step-by-step explanation:

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3 years ago

SOLUTION: a diver jumps from a diving board that is 24 feet above the water. the height of the diver is given by h= -16(t-1.5)(t

lara [203]

Answer:

The diver will hit the water at 1.5 seconds

Step-by-step explanation:

Given

$h= -16(t-1.5)(t+1)$

Required (Missing from the question)

When will the diver hit the water?

To do this, we simply solve for t

When the diver hits the water, the height is 0 (at that point)

So, substitute 0 for h in $h= -16(t-1.5)(t+1)$

$0= -16(t-1.5)(t+1)$

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$\frac{0}{-16} =\frac{-16(t-1.5)(t+1)}{-16}$

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Split

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But time (t) can not be negative.

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3 years ago

Mrs Smith plants 5000 seeds per year. If 1/4 of them die and 1/5 lost in transport. How many plants would be left to sell

ycow [4]

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3 years ago