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tatuchka [14]
3 years ago
11

Can someone help me out with this inequality problem?? Will give brainliest to best answer!!

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
4 0

Answer:

250x + 525y ≤ 7800

no, 15 refrigerators and 8 pianos will not fit on the truck

Step-by-step explanation:

we know that x is the refrigerators and each one is 250 lbs

this can be written as 250x

we know that y is the pianos and each one is 525 lbs

this can be written as 525y

we also know that "no more than" is the same that as less than equal to

so this can be written as ≤

we can also say that the refrigerators and pianos has to be ≤ 7800

so now we have: 250x + 525y ≤ 7800

plug in 15 to x and 8 to y

250(15) + 525(8) ≤ 7800

3750 + 4200 ≤ 7800

7950 ≤ 7800

this statement is not true so no, 15 refrigerators and 8 pianos will not fit on the truck

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2 years ago
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3 years ago
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A potential energy function is given by U = A x3 + B x2 − C x + D . For positive parameters A, B, C, D this potential has two eq
Ivenika [448]

Answer:

7.8655

Step-by-step explanation:

Given the functionl

U=Ax^3+Bx^2-cx+D

Where,

A=1.45J/m^3\\B=2.85J/m^2\\c= 1.7J/m\\D=0.6J

We have, replacing,

U=1.45x^3+2.85x^2-1.7x+0.6

We need to derivate and verify for stable equilibrum that,

\frac{d^2 U}{dx^2}>0

Then,

U'(x) = 4.32x^2+5.7x-1.7

Roots in,

x_1=-1.57008\\x_2=0.250636

We obtain U"(x), then we have

\frac{d^2U}{dx}=8.64x+5.7

For x=-1.57, U"(x)=-7.86549 Unestable

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7 0
3 years ago
77th term for -10,-8,-6
sasho [114]

9514 1404 393

Answer:

 142

Step-by-step explanation:

The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...

  an = a1 +d(n -1)

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Then the 77th term is ...

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The 77th term is 142.

4 0
2 years ago
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mamaluj [8]

Answer: A

Step-by-step explanation:

3 0
3 years ago
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