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Llana [10]
3 years ago
10

Simplify: (-3x^3+2x^2+4x)-(8x^4-5x^3+6x^2-2x

Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Answer:

−8^4+2^3−4^2+6

Step-by-step explanation:

Distribute the - to 8x^4-5x^3+6x^2-2x:

-8x^4+5x^3-6x^2+2x

Now simplify:

-3x^3+2x^2+4x-8x^4+5x^3-6x^2+2x= −8^4+2^3−4^2+6

Hope this helps!

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5 objects in a bathroom that contain fluid ounces
elena-s [515]
1) Liquid soap
2) Shower gel
3) Bathroom cleaner
4) Toothpaste
5) Shampoo
6 0
3 years ago
A study of 250 households in a cedar bluff showed that a household produced an average of 4 pounds of garbage per day. What is t
mel-nik [20]

Answer:

See explanation

Step-by-step explanation:

1. The sample of this study is 250 households in a cedar bluff. Population sample means the total number of units or participants are participating in a study to determine the result.

2. The population of interest refers to the objects and measurement through which a population sample can be measured to make a bold decision. Here, 4 pounds of garbage per day is a measurement to make a valuable decision to validate the study.

5 0
3 years ago
A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Mater
marshall27 [118]

Answer:

$ 327.08

Step-by-step explanation:

Let x = width of the container,

Then Length of the container = 2x

Let h = height of the container,

volume of the container can be calculated as length × width × height

= 2x × x × h

= 2x² h

Then we can say Volume =

= 2x² h=10

If we simplify inorder to get h

We have h= 5/x²

Then the area= (2L×h) +(2xh)

Where L is lenght

x= wish

h= height

= 2× 2x × h+ x× h

= 4x× 5/x + 2x × 5/x

Area = 30/x

Now, the area of the base = length × width

But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter

Then the cost C(x)= 2x²× 20+30/x ×12

C(x)= 40x²+35/x²

If we differenciate wrt x we have

C(x)= 80-360/x²

If we equate C(x)=0the

80=360/x²

x= 1.651

If substitute to C(x)= 40x²+35/x²

C(x) = 40(1.651)² + 35/(1.651)²

We have cost= 327.08

6 0
3 years ago
You drop a rock off a bridge. The rock’s height, h (in feet above the water), after t seconds is modeled by h = -16t2 + 541. Wha
Nina [5.8K]
Given the time t = 2 seconds, simply plug in it to the equation.
h = - 16(2)² + 541
= - 16(4) + 541
= - 64 + 541
h = 477 feet
8 0
4 years ago
Given that €1 = £0.72 a) how much is €410 in £? b) what is the £ to € exchange rate
avanturin [10]

Answer:

£295.2

€1.39

Step-by-step explanation:

€1 = £0.72

a) €410=  £0.72*410= £295.2

b) £1= €1/0.72= €1.39

6 0
4 years ago
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