Answer:
Equation: y = -1/4x
Step-by-step explanation:
Let's consider the relationship x and y:
As we can see in a graph, the line demonstrated by the table would pass at a given point where x = 0 and y = 0. This signifies that the graphical representation passes through the origin and the equation thus doesn't have a y-intercept. Let's take a look at the other coordinates as well. The first example, being that x = -8 and y = 2 suggests that here, if x = 8, the equation could be such: y = 0.25x. Instead, the negative in the 8 brings us to another equation: y = -0.25x. Now let's see if the other coordinates have the same result. The y-coordinates increase by 1 proportionally, and the x-coordinates increase by 4 such that they form a linear graph and thus can be represented by a constant equation: y = -0.25x.
Answer:
16 boxes
Step-by-step explanation:
94+37=131
131/8=16.375
This means that the most possible boxes that they can fill is 16 boxes
Answer:
11
Step-by-step explanation:
a+b^2
Let a=2 and b=3
2+3^2
2 + 9
11
We are given function f(a) = 1.07a for total amount including sales tax.
g(b) = b+50 total cost including delivery.
We need to write function g(f(a)).
g(f(a)) = g of f(a).
We need to substitute function f(a) in g(b) function for b.
g(f(a)) = g(1.07a) = 1.07a +50.
<h3>Therefore, g(f(a)) = 1.07a +50.</h3>
We are given mattress price a = $1125.
In order to find the total cost including delivery charges, we need to plug a= 1125 in the above function 1.07a +50.
Plugging a= $1125, we get
g(1125) = 1.07a +50 = 1.07*1125 +50 = 1203.75 +50 = 1253.75.
<h3>Therefore, total cost including delivery charges is $1253.75.</h3>
Answer:
The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.
Step-by-step explanation:
Let L represents the Length of the cube before it's dilated.
Volume, V1 = Length * Length * Length
Volume, V1 = L * L * L
Volume, V1 = L³
When the cube is dilated by a factor of 4.
The new Length becomes 4L.
The new volume is calculated as thus.
New Volume, V2 = 4L * 4L * 4L
New Volume, V2 = 64L³
Dividing the new volume by the old volume gives the increment factor.
Factor = New Volume ÷ Old Volume
Factor = V2/V1
Factor = 64L³/L³
Factor = 64.
Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.
Filling the gap of the given sentence;
"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"
