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2 years ago

9

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

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