Check the picture below
the angle is in degrees, thus, when taking the tangent, make sure your calculator is in Degree mode
the angle is in degrees, thus, when taking the tangent, make sure your calculator is in Degree mode
Barrett works at an ice cream shop. The function f(x) represents the amount of money PLEASE HELP!!!!!!!!!!!!!
1 answer:
Answer:
, it is the amount of money earned per number of hours of work, x
Step-by-step explanation:
Here we have two functions:
This function represents the amount of money (the earning) per unit x
Then we have the function
which represents the number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works.
Here we want to find the composite function
which means that we use the output of as input for
. In this context, this means that the function
represents the amount of money earned per number of hours of work, x.
Substituting g(x) into the x of f(x), we find:
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Answer:
a
Step-by-step explanation:
at m=1
at m=0
both values are >= 2/3
For the first expression. move the like terms next to each other in the expression.
17c - 5c -3 + 5 Do -3 + 5
17c - 5c + 2 Pretend the c isn't there and do 17 - 5
12c + 2
For the second expression, pretend the b isn't there and do -12 + 10
8b -2b Now, do 8 - 2
6b
For number 9, you know that since the top of the rectangle is 20cm, the bottom should be too. You can then use the 6cm and 2cm to find out how much of the bottom is missing.
20 - (6 + 2) Add 6 and 2
20 - 8 Subtract
12
So, the base of the triangle is 12cm. The side of the rectangle tells you that the height of the triangle is 9cm. If you plug those numbers into the triangle area formula, you can find the area of the triangle.
1/2 (b x h) Plug in the numbers ( b = 12 , h = 9)
1/2 (12 x 9) Multiply 12 and 9
1/2 (108) Find half of 180
54
The are of the triangle is 54
. Since you need the area of the rectangle minus the are of the triangle, you need the are of the rectangle. That can be found using l x w.
l x w Plug in the values (l = 9 , w = 20)
9 x 20 Multiply
180
Now, subtract the area of the triangle (54) from the area of the rectangle (180).
180 - 54 Subtract
126
The area of the shaded region is 126
.
17c - 5c -3 + 5 Do -3 + 5
17c - 5c + 2 Pretend the c isn't there and do 17 - 5
12c + 2
For the second expression, pretend the b isn't there and do -12 + 10
8b -2b Now, do 8 - 2
6b
For number 9, you know that since the top of the rectangle is 20cm, the bottom should be too. You can then use the 6cm and 2cm to find out how much of the bottom is missing.
20 - (6 + 2) Add 6 and 2
20 - 8 Subtract
12
So, the base of the triangle is 12cm. The side of the rectangle tells you that the height of the triangle is 9cm. If you plug those numbers into the triangle area formula, you can find the area of the triangle.
1/2 (b x h) Plug in the numbers ( b = 12 , h = 9)
1/2 (12 x 9) Multiply 12 and 9
1/2 (108) Find half of 180
54
The are of the triangle is 54
l x w Plug in the values (l = 9 , w = 20)
9 x 20 Multiply
180
Now, subtract the area of the triangle (54) from the area of the rectangle (180).
180 - 54 Subtract
126
The area of the shaded region is 126