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creativ13 [48]
3 years ago
11

Pleasee help 15 points

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:

10

Step-by-step explanation:

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Which is a solution to (x – 3)(x + 9) = –27?<br><br> x = –9<br> x = –3<br> x = 0<br> x = 6
likoan [24]

Answer:

x = 0

Step-by-step explanation:

Since the product is not equal zero, we need to multiply both parenthesis first:

(x-3)(x+9) =-27

x*x+x*9+(-3)*x+(-3)*9=27

x^2+9x-3x-27=27

x^2+6x-27=27

Add 27 from both sides:

x^2+6x-27+27=-27+27

x^2-6x=0

Factor x out:

x(x+6)=0

Apply the zero product:

x=0,x+6=0

x=0,x=-6

The solutions of the equation are x=0 and x=-6.

We can conclude that the correct answer is x = 0.

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3 years ago
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $27
kobusy [5.1K]

Answer:

y = 50x+25

f(x) = 50x+25

Step-by-step explanation:

Using the slope intercept form of the equation, y = mx+b

where x is the amount per day and b is the flat fee

2 days

125 = 2x+b

5 days

275 = 5x+b  

Subtract

275 = 4x+b  

125 = 2x+b

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150 = 3x

Divide by 3

150/3 = 3x/3

50 =x

The cost per day is 50 dollars

y = 50x +b

Using the data for 2 days

125 = 50*2 +b

125 = 100 +b

125-100 = b

b = 25

The equation is y = 50x+25

f(x) = 50x+25

To graph, The x axis is number of days and the y axis is total cost

The number of days starts with 0, which is the y intercept

Let x = 0, y =25

Using the slope, we go 50 up and 1 to the right ( 50 dollars per day)

The next point plotted ins ( 1,50)

Draw a straight line

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