Answer:
24
Step-by-step explanation:
f(x)=4x,
Let x=6
f(6) = 4*6
f(6) =24
The table that represents a proportional relationship is:
x = -1, -3, -5
y = 1, 3, 5
<h3>
Which table represents a proportional relation?</h3>
A proportional relationship is written as:
y = k*x
Where k is the constant of proportionality.
Notice that for equidistant increases in x, we should have equidistant increases on y. Also, proportional relations always have the point (0, 0)
Then the table that represents a proportional relationship is:
x = -1, -3, -5
y = 1, 3, 5
Where the proportional relation is:
y = (-1)*x
When x = -1
y = (-1)*(-1) = 1
When x = -3
y = (-1)*-3 = 3
When x = -5
y = (-1)*(-5) = 5
So the correct option is the second one.
If you want to learn more about proportional relationships:
brainly.com/question/12242745
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Answer:
V = 1206.3 
Step-by-step explanation:
This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.
Volume of a cylinder = area (of the base) x height
Substitute in the formula for the area of a circle.
V(cylinder) = 
x h
Substitute in the values for the radius (8) and height (4)
V(cylinder) = x 
x 4
Evaluate using a calculator
V(cylinder) = 804.2477
To the nearest tenth, V(cylinder) = 804.2
Volume of a cone = 
. This is the area of the circular part of the cone (
), multiplied by the height from the point to the base, all divided by 3.
Substitute in the values for the radius of the circle (8) and the height (6)
V(cone) = 
(On the top it's x x 6)
Evaluate using a calculator
V(cone) = 402.1239
To the nearest tenth, V(cone) = 402.1
Total volume = V(cylinder) + V(cone)
= 804.2 + 402.1
= 1206.3
Answer:
7/20 = x/400
Step-by-step explanation:
Answer:
(-1, 3)
Step-by-step explanation:
x - 5y = -16 [Equation 1]
-x + 3y = 10 [Equation 2]
<u>Adding both equations</u>
- x - x - 5y + 3y = -16 + 10
- -2y = -6
- y = 3
- x - 5(3) = -16
- x - 15 = -16
- x = -1
<u>Solution</u> : (-1, 3)
