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Nikolay [14]
3 years ago
12

A rectangle has a length of 2x 5 units and a width of , 3 units. What is the area, in square

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

2 {x}^{2}  - 11x + 15

Step-by-step explanation:

We we're given the length of the rectangle as

l = 2 {x}  - 5

and the width of the rectangle as :

w = x  - 3

Recall that, the area of a rectangle is

Area=l×w

We substitute the given dimensions of the rectangle into the formula to get:

area =( 2 {x}  - {5} ) \times(x  -   3)

We expand

2 {x}^{2}  - 6x - 5x + 15

This simplifies to:

2 {x}^{2}  - 11x + 15

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How would you change the graph of y = x²<br> to produce the graph of y = x2 – 5,
KatRina [158]

9514 1404 393

Answer:

  shift it down 5 units

Step-by-step explanation:

Subtracting 5 from every y-value moves the graph down 5 units.

To make the new graph, translate every point down 5 units.

6 0
3 years ago
Why is 25 mg lighter than 25 cg
Mashutka [201]
25 mg is lighter than 25 cg because mg is 0.001 g and cg is 0.01 g :)
7 0
3 years ago
You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Whic
yarga [219]

Answer:

16 in × 20 in

Step-by-step explanation:

  1. Finding the % of the picture that can fit in 16×20 frame

Area of picture= length by width

                         =4*6=24 in²

Area of frame=Length by width

                      =16*20=320 in²

% of the picture in the frame will be

                        (24/320) * 100% =7.5%

     2. Finding the % of the picture that can fit in 18 × 24 frame

Area of picture=24 in²

Area of frame =Length by width

                       =18*24=432 in²

% of the picture in the frame will be;

                        (24/432)*100%=5.6%

The frame 16 by 20 in will keep 7.5% of the original picture

The frame 18 by 24 in will keep 5.6% of the original picture

Hence you should use the frame  of 16 by 20 in because it will keep more of the original picture.

6 0
3 years ago
The búfalo children put all of their candy together and weighed it. It weighed 2 1/4 pound . They shared it amongst the five peo
ratelena [41]

Answer:

0.45 lbs

Step-by-step explanation:

2 1/4 can be converted to the decimal: 2.25

2.25÷5 is how you will set this problem up, because 2.25 lbs of candy is being divided amongst 5 people.

0.45 lbs is the answer

8 0
3 years ago
Solve the following inequality
Burka [1]
First we must get rid of the -3 in the denominator
to do this you need to multiply both sides by -3

2x - 1 <span>< -5
now add 1 to both sides

2x </span><span>< -4

finally, divide both sides by 2

x </span><span>< -2

i hope this helps !!</span>
7 0
3 years ago
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