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Vlad1618 [11]
2 years ago
4

The total cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where x is the number of s

ki trips you take. A. Solve the equation for x.
Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
3 0

Answer:

x=(c-60)/85

Step-by-step explanation:

we have

c=85x+60

Solve for x

That means -----> isolate the variable x

subtract 60 both sides

c-60=85x+60-60\\c-60=85x

Divide by 85 both sides

(c-60)/85=85x/85\\(c-60)/85=x

Rewrite

x=(c-60)/85

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108 identical books have a mass of 30 kg,find the mass of 150 such books
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Answer:

150 * 0.27777777778 kg = 41.666666667 kg.

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What is the binomial expansion of (x + 2)4? x4 + 4x3 + 6x2 + 4x + 1 8x3 + 24x2 + 32x x4 + 8x3 + 24x2 + 32x + 16 2x4 + 8x3 + 12x2
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<u>Answer-</u>

\boxed{\boxed{(x+2)^4=x^4+8x^3+24x^2+32x+16}}

<u>Solution-</u>

Given expression is (x+2)^4

Applying Binomial Theorem

\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i

Here,

a = x, b = 2 and n = 4

So,

\left(x+2\right)^4=\sum _{i=0}^4\binom{4}{i}x^{\left(4-i\right)}\cdot \:2^i

Expanding the summation

=\dfrac{4!}{0!\left(4-0\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(4-1\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(4-2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(4-3\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(4-4\right)!}x^0\cdot \:2^4

=\dfrac{4!}{0!\left(4\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(3\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(1\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(0\right)!}x^0\cdot \:2^4

=1\cdot x^4\cdot \:1+4\cdot x^3\cdot \:2+6x^2\cdot \:4+4\cdot x\cdot \:8+1\cdot 1\cdot \:16

=x^4+8x^3+24x^2+32x+16

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2 years ago
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Answer:

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Describe a triangle for which the centroid, circumcenter, incenter, and orthocenter are the same point. What features of this tr
hjlf

Answer:

An equilateral triangle

Step-by-step explanation:

Because an equilateral has a feature that all sides have the same length and all angles are of the same, it does not matter from which side and peak the centroid, circumcenter, incenter and orthocenter is created, they would always end up at the same point.

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A scuba diver is descending at an average rate of 44.5 feet per minute.
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Scuba diver has done 102.35 feet below sea level.

The diver is:

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Because the diver is going down, they are going below sea level. This means that the diver has gone 102.35 feet below sea level.

<em>Find out more at brainly.com/question/24720718.</em>

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