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kondor19780726 [428]
3 years ago
8

Help please!!!! How did they get the answer? Please show your work! Thank you!

Mathematics
1 answer:
kakasveta [241]3 years ago
3 0
7 ∫ cos(πx) dx
7 [ sin(πx)/π ]
7/π (sin(π/2) - sin(0))
7/π (1 - 0)
7/π  ~ 7/3
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Find the slope and the y-intercept of the line Y= 7X -6
Artyom0805 [142]

Answer:

Slope: 7

y-intercept:-6

Step-by-step explanation:

The equation of the line in Slope-intercept form is the following:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

You have the equation of the given line:

y=7x-6

You can observe that it is written in Slope-intercept form, therefore, you can identify that the slope and the y-intercept are the following:

m=7\\b=-6

6 0
3 years ago
Give three solutions of the inequality 6-11x<61
Alex17521 [72]
I hope this helps you



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3 0
3 years ago
Read 2 more answers
The table below shows the fifth powers of different numbers:
g100num [7]
Part A

Yes y is a function of x. Specifically the equation is y = x^5
For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1
Notice how if x = -1 then y = x^5 = (-1)^5 = -1
Notice how if x = -2 then y = x^5 = (-2)^5 = -32
Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,
x^5 = x*x*x*x*x
there are five copies of x multiplied

A more specific example
3^5 = 3*3*3*3*3
there are five copies of '3' multiplied

=====================================================

Part B

All we do is replace x with 4 and use PEMDAS to simplify
f(x) = 2x+12
f(4) = 2(4)+12
f(4) = 8+12
f(4) = 20

The value of f(4) is 20
What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20. 

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up
The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12
In total, variableCost+fixedCost = 8+12 = 20 = totalCost

4 0
3 years ago
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Y_Kistochka [10]

Answer:

a) x=23/9 or 2 5/9 or 2.5

b) x=5-y

3 0
3 years ago
Use the number in the place value chart 465​
anastassius [24]
A picture by any chance ?
4 0
3 years ago
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