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Elza [17]
3 years ago
10

Please solve this and show your working out. thanks!

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0

Answer:

first

area of rectangle = l*b

                         =     (3x-y+4) ( X+7)

                       = 3x²-xy + 4x+21x-7y+28

                       = 3x²-xy +25x-7y +28

Area of square = l²

                        = (x-2)²= x²- 4x +4

area of shaded region=( 3x²-xy +25x-7y +28) -(x²- 4x +4)

                                     =2x²-xy +29x-7y+24

         

Step-by-step explanation:

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3 years ago
Please anyone answer me
ollegr [7]

Let's divide the shaded region into two areas:

area 1: x = 0 ---> x = 2

ares 2: x = 2 ---> x = 4

In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.

Area 1:

A\frac{}{1}  = ∫g(x)dx =  ∫xdx =  \frac{1}{2}  {x}^{2}  | \frac{2}{0}  = 2

Area 2:

A\frac{}{2}  = ∫(g(x) - f(x))dx

= ∫(x -  {(x - 2)}^{2} )dx

=  ∫( - {x}^{2}  + 5x - 4)dx

= ( - \frac{1}{3}{x}^{3} +   \frac{5}{2} {x}^{2}  - 4x)   | \frac{4}{2}

= 2.67 - ( - 0.67) = 3.34

Therefore, the area of the shaded portion of the graph is

A = A1 + A2 = 5.34

3 0
3 years ago
Pls hel fast a have to finish this quiz
SOVA2 [1]

Answer:

So put the pi in the 3.14 box then 22/7 to where it says 3.142857143 or something (I can't really see the pic, but yeah that number) then you know the next answer :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A shipping container will be used to transport several 140-kilogram crates across the
velikii [3]

Answer:

91.42 crates

Step-by-step explanation:

Let

Greatest Number of 140kg crates = x

weight of crate = 140-kilogram

Weight of other shipment = 13200 kilograms

greatest weight of container = 26000 kilograms

Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container

13,200 + 140x ≤ 26,000

140x ≤ 26,000 - 13,200

140x ≤ 12,800

x ≤ 12,800/140

x ≤ 91.42 kilograms

Greatest Number of 140kg crates = 91.42 crates

8 0
3 years ago
I need help with this please I’m dumb
Inessa [10]

Answer:

For number 2 the answer is X=5,-2

and for number 3 the answer is there is no solution

5 0
3 years ago
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