11/2 = 5.5
10 x 5.5 = 55
The answer is 55
Answer:
Step-by-step explanation:
When given the following two functions,
One is asked to evaluate the functions for, (f(6)) and (g(-3)). One can do this by substituting the values (6) into the function (f) and (-3) into the function (g). These values will replace the parameter (x).
Simplify,
Now repeat this process for the guncion (g(x)) to evaluate for (g(-3))
Simplify,
Answer:
(1, -3/2)
Step-by-step explanation:
The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1
The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2
(2+-5)/2 = -3/2
The midpoint is
(1, -3/2)
I'm going to separate this into sections so it makes more sense for you to read. For the problems with π where you have to round, ask your teacher where to round, unless your textbook specifies it:
A – 100 cm^2
To calculate area of squares, you multiply l • w. It's a square, so all sides are equal, and since we know that one side = 10 cm, the area is 10 • 10 = 100
B – πr^2 (not sure if the r shows up very well, so I'm retyping it in words - pi • radius squared)
C – 25π cm^2 or an approximate round like 78.54 cm^2 (ask your teacher about this – it could be to the nearest tenth, hundredth, etc.)
To find the area of a circle, you must follow the formula πr^2. In this case, the diameter is 10. The radius is half the diameter, so to substitute the values you must find 10 ÷ 2 = 5. So the radius is 5 cm. From there you can substitute r for 5, ending up with π • 5^2. 5^2 = 25, so the area is 25π, or about 78.54, depending on where the question wants you to round.
D – An approximate round (to the nearest hundredth it is 21.46 cm^2)
To find the area of the shaded region, just subtract the circle's area from the square's area, or 100 – 25π ≈ 21.46. Again, though, ask your teacher about where to round, unless your textbook specifies it.
E – dπ (diameter • pi)
F – 10π cm^2 or an approximate round like 31.42 cm^2
The diameter is 10. 10π ≈ 31.42
Hope this helps!
Answer:
Cost of the box of pencils = x = $4
Cost of the notebook = x+2 = 4+2 = $6
Cost of package of pens = 3x = 3(4) = $12
Step-by-step explanation:
Let the cost of the box of pencils = x
Cost of the notebook = 2 more than the pencils cost = x+2
Cost of package of pens = 3 times the pencils cost = 3x
The total was $22, so we can say:
(x)+(x+2)+(3x) = 22
5x=22-2
x=20/5
x=$4
Cost of the box of pencils = x = $4
Cost of the notebook = x+2 = 4+2 = $6
Cost of package of pens = 3x = 3(4) = $12
