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OverLord2011 [107]
2 years ago
14

Solve each system of equations by substitution. 4y=3x+6 2y=x+8

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
5 0

Answer:

Step-by-step explanation:x=2y-8

4y=3.(2y-8)+6

4y=6y-24+6

4y-6y=-24+6

-2y=-18

Y=9

X=2Y-8

x=2.9-8=10

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If it takes 5 years for an animal population to double, how many years will it take until the population
muminat

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Answer:

  7.92 years

Step-by-step explanation:

We want to find t such that ...

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It will take about 7.92 years for the population to triple.

6 0
2 years ago
The function h(t) = -16t^2 + 16t represents the height (in feet) of a horse (t) seconds after it jumps during a steeplechase.
Vladimir79 [104]
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.

h'(t) = -32t + 16

When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.

-32t + 16 = 0

-32t = -16

t = 0.5 seconds

b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.

h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet

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c.) We know that the horse is in the air whenever h(t) is greater than 0. 

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7 0
3 years ago
The volume of a box (V) varies directly with its length (l). If the box has a volume of 90 cubic inches and a length of 15 inche
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90 = k*15
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3 years ago
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Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?
blondinia [14]
Let the two integers be x and x + 1, then
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Therefore, the integers are 11 and 12.

6 0
3 years ago
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