Answer:
Option C
Step-by-step explanation:
To test a graph whether it represents a function or relation we conduct a vertical line graph.
If the vertical line intersect the graph at two different points, graph represents a relation only.
By analyzing the given graph with the vertical line test,
Since, a vertical line (x = -4) intersect the graph at two points (y = -1 and y = 5),
Given graph represents a relation only.
Option C is the answer.
Answer:
<h2>

</h2>
Step-by-step explanation:
According to the question,
∝
.......(1)
∝
.......(2)
From equation 1,2 let constant of proportionality be
respectively.
⇒
.......(3)
⇒
.......(4)
From the above equations putting 4 into 3,

Let the new constant to the above equation be
,

Given,if x=1, when z=4

⇒
Now if x=27, then z=?

⇒
⇒

Answer:
The first one is 14.5 and the second one is that the decimal moves to the left every time a zero is added to the first number
Step-by-step explanation:
Answer:
Volume of prism 1: 104 cubic inches
Surface area of prism 2: 650 square inches
Step-by-step explanation:
To find the volume of prism 1, set up a proportion using the side lengths and the volume of prism 2.
The ratio of the side lengths will be your scale factor. When finding volume using scale factor, you need to cube the scale factor. The numerator in the proportion are from prism 1 and the denominator is prism 2. Prism 1 is the numerator since it is the new image and we are solving for it's volume.


To find the surface area of Prism 2, we are going to setup another proportion, but this time we are going to square the scale factor since we are finding area. Prism 2 will be the numerator and prism 1 will be the denominator.

Answer:
y = - 2, y = - 1
Step-by-step explanation:
y² + 3y + 2 = 0
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the y- term (+ 3)
The factors are + 2 and + 1 , since
2 × 1 = 2 and 2 + 1 = 3 , then
(y + 2)(y + 1) = 0
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
y + 1 = 0 ⇒ y = - 1