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My name is Ann [436]
3 years ago
7

If the area of the rectangle shown below is given by the expression 3x2 + 7x – 6,

Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0

Answer:

Step-by-step explanation:

3x² + 7x - 6 = 3x² + 9x - 2x - 2*3

                  = 3x (x + 3) - 2(x +3)

                  = (3x - 2)(x + 3)

Area of the rectangle = 3x² + 7x - 6

length * width = 3x² + 7x - 6

length * (x + 3) = (3x -2)(x +3)

          length = \frac{(3x-2)(x+3)}{(x+3)}

          length = (3x - 2)

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carlos can write 3 to 4 pages in his journal in 2/3 hour. if he writes for 5 hours, what's a reasonable number of pages he can w
zheka24 [161]

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

\frac{5}{\frac{2}{3}}=7.5

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

8 0
3 years ago
10x114x A8- О<br> Simplify
tester [92]
The simplified answer would be 9120ax
8 0
3 years ago
How do I factor 8v2-8v-448=0?
Shtirlitz [24]
Factor it should be
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3 0
3 years ago
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Mia
Nastasia [14]

Answer:

y=\frac{x-22}{3} ; y=20

Step-by-step explanation:

Let Temperature of Maimi T_{m}  and that of Bangor be T_{b}

Given in the condition is T_{m} is 22 more than 3 times  T_{b}

i.e. T_{m} = 22+ 3 * T_{b}

Hence

T_{m} - 22 = 3 * T_{b}

T_{b} = \frac{T_{m}-22}{3}

Here also we are given that T_{m}=82

T_{b} = \frac{82-22}{3}

T_{b} = \frac{60}{3}

T_{b} = 20

8 0
3 years ago
Read 2 more answers
Twice the complement of angles A is 40 less than the supplement of angle A. Find the measure of angle A
Serggg [28]
Complement adds to 90
complement of A is 90-A


supplement is adds to 180
supplemetn of A is 180-A

2(90-A) is -40+180-A

2(90-A)=-40+180-A
2(90-A)=140-A
distribute
180-2A=140-A
add 2A to both sides
180=140+A
minus 140 both sides
40=A

A=40 degres
4 0
3 years ago
Read 2 more answers
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