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Anni [7]
3 years ago
12

Which of the following is a solution to the quadratic equation x2-3x-54=0

Mathematics
2 answers:
BaLLatris [955]3 years ago
7 0

Answer:

A

Step-by-step explanation:

x² - 3x - 54 = 0

x² - 9x + 6x - 54 = 0

x(x - 9) + 6(x - 9) = 0

(x - 9)(x + 6) = 0

x = -6,9

Agata [3.3K]3 years ago
7 0
X2-3x-54=0
Answer: A.9
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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

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(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

4 0
3 years ago
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