Which of the following represents the area of a rectangle whose length is 5x − 3 and whose width is x + 7? 5x2 − 21 5x2 + 9x − 21 5x2 + 32x − 21 5x2 − 32x − 21

Answer : option C, 5x2 + 32x − 21

In the rectangle, the length = 5x - 3 and width = x + 7

We know the formula for area of rectangle = length * width

Area of rectangle = (5x-3)(x+7)

WE multiply it using FOIL method

F - First terms, 5x * x =

O- Outer terms, 5x * 7 = 35x

I - Inner terms, -3 * x= -3x

L - Last terms, -3 * 7 = -21

Now we add all the terms

combine like terms

So area of a rectangle =

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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