Note: <em>The missing graph is attached below. </em>
Answer:
'linear decreasing' best describes interval C on the graph shown.
Step-by-step explanation:
Note: <em>The missing graph is attached below. </em>
From the attached graph, it is easy to figure out that the interval C on the graph shown is showing a straight line. So the graph of the function would be linear.
Also on the interval C, the value of y is decreasing as the value of x increase. So, the slope of the straight line would be negative.
So the interval C indicates that the function is decreasing there.
Therefore, 'linear decreasing' best describes interval C on the graph shown.
Answer:
Cube 2
Step-by-step explanation:
The order of operations are PEMDAS.
P = parenthesis
E = exponent
M = multiplication
D = division
A = addition
S = subtraction
Since we don't have any parenthesis, so the first thing we have to do is solve the exponent
Answer:
A dilation is a type of transformation that works with scale factors and enlarges or reduces a figure, to create a new figure. Now, the composition of transformations that will create a pair of similar but not congruent triangles are - a rotation, then a dilation.
Step-by-step explanation:
Answer:
There are 22 quarters, 15 dimes and 72 nickels.
Step-by-step explanation:
The number of coins in the collection is 109.
Let the number of quarters = x
Let the number of dimes = y
Let the number of nickels = z
Therefore:
x + y + z = 109 -------------------------------------- (1)
There are 7 fewer dimes than quarters. This means that:
y = x - 7
=> x = y + 7
There are 3 less than five times as many nickels as dimes. This means that:
z = 5y - 3
Let us write equation (1) in terms of y to make it simpler to solve:
y + 7 + y + 5y - 3 = 109
Collecting like terms:
7y + 4 = 109
=> 7y = 105
y = 105 / 7
y = 15
Therefore:
x = 15 + 7 = 22
z = (5 * 15) - 3
z = 75 - 3 = 72
Hence, there are 22 quarters, 15 dimes and 72 nickels.
To confirm, 22 + 15 + 72 = 109
The volume of the smaller room is B. 768 cubic feet.
Step-by-step explanation:
Step 1:
The entire length for both rooms is 20 feet. As the large room has a length of 12 feet, the length of the smaller room is 18 feet long.
The width of the prism is 12 feet and a height of 8 feet.
The volume of a rectangular prism is determined by multiplying its length, its width, and its height.
The small room's length = 8 feet,
The small room's width = 12 feet, and
The small room's height = 8 feet.
Step 2:
The volume of a rectangular prism
The volume of the smaller room
So the volume of the smaller room is 768 cubic feet which is option B.