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2 years ago

Question 4 of 5

Mathematics

1 answer:

9966 [12]2 years ago

3 0

Answer: The graph crosses the x-axis at x = 2.

Step-by-step explanation:

The root has a multiplicity of 3, meaning that it crosses the x axis at x=2.

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3 years ago

There were 900 students enrolled in a high school in 2009 and 1,500 students enrolled in the same high school in 2012. The stude

Volgvan

Answer:

(A)

$(t_0,P_0)=(0,900)$

$(t_1,P_1)=(3,1500)$

(B)

$m=200$

(C)

$P=200t+900$

(D)

The high school's enrollment in 2017 is 2500

Step-by-step explanation:

Let's assume time starts since 2009

so, In 2009 , t=0

P=900

In 2012,

t=2012-2009=3

P=1500

(A)

So, we have points as

$(t_0,P_0)=(0,900)$

$(t_1,P_1)=(3,1500)$

(B)

we can use slope formula

$m=\frac{P_2-P_2}{t_2-t_1}$

we can plug values

$m=\frac{1500-900}{3-0}$

$m=200$

we know that

slope is rate of change of P with respect to time

so, slope means increase in population is 200 per year

(C)

we can use point slope form of line

$y-y_1=m(x-x_1)$

$m=200$

$(t_0,P_0)=(0,900)$

$P-900=200(t-0)$

$P=200t+900$

(D)

In 2017 ,

t=2017-2009=8

we can plug t=8

and we get

$P=200(8)+900$

$P=2500$

The high school's enrollment in 2017 is 2500

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3 years ago