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IRISSAK [1]
3 years ago
6

Let n represent the time in hours for the service call and C represents the total cost in dollars. Write an equation that relate

s C and n
Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

Answer:

C(n) = pn

Step-by-step explanation:

Given :

n = time in hours for service call

C = total cost

Total cost = unit cost per hour * time in hours

If unit cost per hour = p

Hence,

C(n) = p * n

C(n) = pn

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James earned $361.36 for working last week and $347.85 for working this week. What was the total amount he earned?
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3 years ago
How to find the vertices of the hyperbole
torisob [31]

The answer is the second one

If you want a fast explanation

You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal

If you check the vertices points those indicates the length of 2a thus thatll be 6

To get the center just use middle point equation and you'll get (1,3)

Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis

A=3

B=?

C=6

We use Pythagoras so

b =  \sqrt{(6) ^{2}  - (3) ^{2}  }

Thus you get

b =  \sqrt{27}

With that data now you can get the equation

You know that below (y-3)^2 there should be a^2 so that means there will be the 9

And in the (x-1)^2 there should be b^2 so that means there will be the 27

PD. The 3 besides y, and 1 besides x represent the center

5 0
3 years ago
Read 2 more answers
Find f(g(x)) and g(f(x)).<br> f(x)=x²-2 and g(x)=√x+1
Archy [21]

Answer:

1. x - 1

2. \sqrt{x^2-1}

Step-by-step explanation:

f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1

g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}

6 0
2 years ago
Which phrase best defines a trapezoid?
balu736 [363]
B they only have one pair of parallel sides. The top and bottom
3 0
3 years ago
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Resuelve las ecuaciones<br> 3(2x-1)+5(x-3)=4x+7<br> 5-x-(2x+3)= 3+8x
Ivan
Let's solve your equation step-by-step.<span><span><span>3<span>(<span><span>2x</span>−1</span>)</span></span>+<span>5<span>(<span>x−3</span>)</span></span></span>=<span><span>4x</span>+7</span></span>Step 1: Simplify both sides of the equation.<span><span><span>3<span>(<span><span>2x</span>−1</span>)</span></span>+<span>5<span>(<span>x−3</span>)</span></span></span>=<span><span>4x</span>+7</span></span>Simplify:<span><span><span>11x</span>−18</span>=<span><span>4x</span>+7</span></span>Step 2: Subtract 4x from both sides.<span><span><span><span>11x</span>−18</span>−<span>4x</span></span>=<span><span><span>4x</span>+7</span>−<span>4x</span></span></span><span><span><span>7x</span>−18</span>=7</span>Step 3: Add 18 to both sides.<span><span><span><span>7x</span>−18</span>+18</span>=<span>7+18</span></span><span><span>7x</span>=25</span>Step 4: Divide both sides by 7.<span><span><span>7x</span>7</span>=<span>257</span></span><span>x=<span>257</span></span>Answer:<span>x=<span><span>257
</span>


</span></span>Let's solve your equation step-by-step.<span><span><span>5−x</span>−<span>(<span><span>2x</span>+3</span>)</span></span>=<span>3+<span>8x</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>5−x</span>−<span>(<span><span>2x</span>+3</span>)</span></span>=<span>3+<span>8x</span></span></span>Simplify:<span><span><span>−<span>3x</span></span>+2</span>=<span><span>8x</span>+3</span></span>Step 2: Subtract 8x from both sides.<span><span><span><span>−<span>3x</span></span>+2</span>−<span>8x</span></span>=<span><span><span>8x</span>+3</span>−<span>8x</span></span></span><span><span><span>−<span>11x</span></span>+2</span>=3</span>Step 3: Subtract 2 from both sides.<span><span><span><span>−<span>11x</span></span>+2</span>−2</span>=<span>3−2</span></span><span><span>−<span>11x</span></span>=1</span>Step 4: Divide both sides by -11.<span><span><span>−<span>11x</span></span><span>−11</span></span>=<span>1<span>−11</span></span></span><span>x=<span><span>−1</span>11</span></span>Answer:<span>x=<span><span>−1</span>11</span></span>
<span>Espero que esto ayude</span>
4 0
3 years ago
Read 2 more answers
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