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olga2289 [7]
2 years ago
9

A box of laundry detergent contains 35cups. It takes 1 1/4 cups per load of laundry

Mathematics
1 answer:
Dahasolnce [82]2 years ago
4 0

Answer:

I believe it's 28 loads

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(x-1)(x-3)(x+5)(x+7)=297
mihalych1998 [28]

First simplify the expression into polynomial form,

(x-1)(x-3)(x+5)(x+7)=297

x^4+8x^3-10x^2-104x+105=297

x^4+8x^3-10x^2-104x-192=0

Now factor into,

(x-4)(x+8)(x^2+4x+6)=0

Which means the solutions are,

x-4=0\implies\boxed{x_1=4}

x+8=0\implies\boxed{x_2=-8}

and then two complex solutions because determinant of the third factor D\lt0,

x^2+4x+6=0

x^2+4x+4=-2

(x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Work out the value of 4(2x+3y) when x=8 and y=-3
meriva
4(2 x 8 + 3 x (-3))
4(16 + (-9))
4(7)
=28

8 0
2 years ago
What is 2(x - 9) = 10?
TiliK225 [7]

Answer:

x=14

Step-by-step explanation:

2 times x = 2x and 2 time 9 is 18 so the equation is 2x-18=10. then you add 18 to both sides and get 2x=28 then simplify to x=14

7 0
2 years ago
Read 2 more answers
Which equation best represents the best relationship between x and y in the graph?
Mamont248 [21]
I think the answer is c for the graph
6 0
3 years ago
Explain how to find the surface area of a can of fruit with a height of 80 mm and a diameter of 60 mm. Give the area in your exp
8_murik_8 [283]

Answer:

S=6600\pi \text{ mm}^2

S\approx 20724 \text{ mm}^2

Step-by-step explanation:

A can of fruit is geometrically a cylinder.

We are talking about the <u>surface area of a cylinder</u>:

S=2\pi rh+2\pi r^2

\pi \approx 3.14

r: \text{radius}

h: \text{height}

Factoring, we have:

S=2\pi r (h+r)

Calculating the surface area of the can of fruit:

S=2\pi (30) (80+30)

S=2\pi (30) (110)

S=6600\pi

S\approx 20724 \text{ mm}^2

7 0
2 years ago
Read 2 more answers
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