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Sphinxa [80]
4 years ago
8

Shea and her best friend Kelly both babysit during the summer. Shea charges $4 per hour plus a $3 service fee, while Kelly charg

es $3.50 per hour plus a $6 service fee. Solve the system by substitution to find the number of hours, h, and the amount of pay, p, where they each earn the same amount
Mathematics
1 answer:
Evgen [1.6K]4 years ago
8 0
6 hours 

The First hour- Shea made $7 and Kelly made $9.50
The Second hour- Shea made $11 and Kelly made $13
The third hour- Shea made $15 and Kelly made $16.50
The fourth hour- Shea made $19 and Kelly made $20 
The fifth hour- Shea made $23 and Kelly made $23.50
And the sixth hour- Shea made $27 and Kelly made $27 

Hope that was helpful
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Find the roots of the equation: y=4(X+4)^2 -12
Dafna1 [17]
0=4(x²+8x+16)-12
0=4x²+32x+64-12
0=4x²+32x+52
0=x²+8x+13
D=b²-4ac
D=64-52=12
x=(-b-√D)/2a
x=(-b+√D)/2a
x=(-8-2√3)/2= (-2(4+√3))/2= -(4+√3)
AND
x=(-8+2√3)/2=-2(4-√3)/2= -(4-√3)
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Pi×radius squared 
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3 years ago
Which transformations are needed to change the parent cosine function to<br> y = 0.35cos(8(x-pi/4))
Levart [38]

Here's a list of the changes and their effect:

\begin{array}{c|c|c}\text{From}&\text{To}&\text{Effect}\\\cos(x)&\cos\left(x-\frac{\pi}{4}\right)&\text{Horizontal shift}\\\cos\left(x-\frac{\pi}{4}\right)&\cos\left(8\left(x-\frac{\pi}{4}\right)\right)&\text{Horizontal compression}\\\cos\left(8\left(x-\frac{\pi}{4}\right)\right)&0.35\cos\left(8\left(x-\frac{\pi}{4}\right)\right)&\text{Vertical compression}\end{array}

So, the function is shifted \frac{\pi}{4} units to the right, then it is compressed by a factor 8 horizontally, and a factor 0.35 vertically.

8 0
3 years ago
Read 2 more answers
Solve the equation ?
Morgarella [4.7K]
6m+1=-23.  Do the inverse operation of adding 1 which is to subtract 1 to both sides =====> 6m+1-1= -23-1

You divide by 6 both sides  
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m= -4


Brainliest?
3 0
4 years ago
Please help me
Nataly_w [17]

Jane is given a $100 gift to start and saves $35 a month from her allowance.

   After 1 month, Jane has saved

   After 2 months, Jane has saved

   After three months, Jane has saved

   and so on

In general, after x months Jane has saved

This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.

Step-by-step explanation:

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3 years ago
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