Answer:
First we need to calculate 1 part.
Calculate big part first
13*15 = 195
7*12 = 84
195+84=279
279
279 is answer
Answer:
A: The x-intercept of k(x) is half the x-intercept of h(x)
Step-by-step explanation:
Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.
Hence answer choices B, C, and D can be eliminated.
The x-intercepts are found by setting y=0 and solving for x:
h(x) = 0 = -2x +4 ⇒ x = 4/2 = 2
k(x) = 0 = 4x -4 ⇒ x = 4/4 = 1
The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A
First, let's ignore the answer choices and solve for a value of x ourselves.
2(8 - x) < 4
Distributive property.
16 - 2x < 4
Subtract 16 from both sides.
-2x < -12
Divide both sides by -2 (and flip the inequality sign)
x > 6
The value of x is going to be greater than 6, and so, we can observe the answer choices, and whichever value is greater than 6, is the correct answer.
<h3>In this case, there is only one answer, and that is D, x = 10.</h3>
We are given equation V = r²h.
Let us break it into parts to get the correct variation.
V = r²h could be written first V= r² × h.
And we could break it in two different proportions:
V ∝ r² can be read as V is directly proportional to r².
V ∝ h can be read as V is directly proportional to h .
Non of the variable r² or h in denominator.
<em>When we have any variable in denominator, it's an inverse variation and if we don't have any variable in denominator, it would be a direct variation.</em>
<h3>Therefore, we can say V = r²h is a direct variation.</h3>
Answer: The volume of cylinder Q is 12 times the volume of Cylinder P.
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
If cylinder Q has radius, r and height, h,
Then
Volume of cylinder Q = πr²h
For cylinder P,
Height = 3h
Radius = 2r
Volume of cylinder P = π(2r)² × 3h
= 4πr²× 3h = 12πr²h
Therefore, the ratio of the volume of cylinder P to the volume of cylinder Q is
12πr²h/πr²h = 12