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Semmy [17]
3 years ago
11

The range of a relation is

Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0
the first choice. the range is always the y value and the domain is always the x value
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A rectangle has a length that is three feet more than twice it’s width. If the area of the rectangle is 90 square feet, then alg
Mkey [24]

Answer:

Length=27feet\\Width=12 feet

Step-by-step explanation:

Let, the length of the rectangle be 'L'

and, width of the rectangle be 'W'

length=2*Width+3

L=(2W+3) feet\\\\

Area of the rectangle= 90 square feet

Area of a rectangle = Length*Width

90=(2W+3)*W\\\\2W^2+3W=90\\\\2W^2+3W-90=0\\\\

Using Factorization Method to solve quadratic equation:

2W^2-12W+15W-90=0

Taking common from the equation:

2W(W-12)+15(W-12)=90\\\\(W-12)(2W+15)=0\\\\W-12=0\\\\W=12 feet

OR

2W+15=0\\\\2W=-15\\\\W=-7.5 feet

The Width cannot be negative, therefore Width(W)=12 feet

Length=2*Width+3\\\\=(12*2)+3\\\\=24+3\\\\=27 feet

Length=27feet\\Width=12 feet

3 0
3 years ago
Gina takes out a loan totaling $5000. The loan has a 5% interest rate that is compounded monthly. What is the total due after 48
dimaraw [331]
Using the formula A=P(1+i/100)^n
where A is the investment/loan after n years, P is the original investment/loan and i% is the interest per annum.

A=5000(1+0.05)^48
A=52006.35
4 0
3 years ago
-26 times a number minus 22 is equal to 90 less than the number.
IgorLugansk [536]

Answer:

x = \frac{68}{27}

Step-by-step explanation:

Let x be the number

  1. Write it out: -26x - 22 = x - 90
  2. Combine like terms: -27x + 68 = 0
  3. Subtract 68 from each side, so it now looks like this: -27x = -68
  4. Divide each side by -27 to cancel out the -27 next to x. It should now look like this: x = \frac{68}{27}  

I hope this helps!

6 0
3 years ago
A diver descended 46.2 feet in 14.0 minutes. What was the diver's average change in elevation per minute?
Vaselesa [24]

Answer: 3.3 per minute

Step-by-step explanation:

46.2 / 14.0 = 3.3

3.3 * 14.0 = 46.2

Hope this helps you!

3 0
3 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?
Anna71 [15]

Answer:

The slope would be 1/4.

Step-by-step explanation:

To find the perpendicular slope first you have to set this equation to y

to do this you use the subtraction prop of equality and you will get 12x-9= -3y

then you divide by -3 on both sides to get y by itself

you will get -4x+3=y

now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.

The perpendicular slope would then be 1/4.

4 0
3 years ago
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