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netineya [11]
3 years ago
12

During summer vacation, you charge people $8 per hour for babysitting and $10 for going to their house. If you make $50 one day,

how many hours did you spend on babysitting?
Mathematics
2 answers:
Greeley [361]3 years ago
7 0

Answer:

5

Step-by-step explanation:

You can first create an equation to represent the description.  

M = 8h + 10

M is the total money made, and h is the hours spent.  Going to a house costs $10.  This is why it's alone; no matter how many hours is spent at the house, there will always be a $10 charge  Every hour spent at that house costs $8.  This is why it has a variable with it.  This value depends on the time spent.

Plug in the given value ($50) into M and solve for h.

M = 8h + 10

50 = 8h + 10

40 = 8h

h = 5

Five hours were spent at the house.

ioda3 years ago
6 0

Answer: You spent 5 hours babysitting.

Step-by-step explanation:

This situation can be represented by the  equation  y = 8x+ 10  where y is the money you earn and x is the  number of hours.

So if  y is equation to fifty dollars then what is x ?

50 = 8x +10    subtract 10 from both sides.

-10           -10

40 = 8x

x = 5

       

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Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and
pochemuha

Answer:

y =  2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

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Now we need to determine the value of A.

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This means that:

f(3) = -12

Then:

-12 = A*(3 - 4)*(3 + 3)

-12 = A*(-1)*(6)

-12 = A*(-6)

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Then the equation is:

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Now we need to write this in standard form, so we just need to expand the equation:

y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)

y = f(x) = 2*(x^2 - x - 12)

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Then the relation is:

y =  2*x^2 - 2*x - 24

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