Note: Consider we need to find the factor form of the given expression by taking out the GCF.
Given:
The expression is:
To find:
The factor form of the given expression.
Solution:
We have,
It can be written as:
Taking out the greatest common factor (GCF), we get
Therefore, the factor form of the given expression is .
A rotation is an isometric transformation that turns every point of a figure through a specified angle and direction about a fixed point.
To describe a rotation, you need three things:
Direction (clockwise CW or counterclockwise CCW)
Angle in degrees
Center point of rotation (turn about what point?)
The most common rotations are 180° or 90° turns, and occasionally, 270° turns, about the origin, and affect each point of a figure as follows:
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First, find the value of the expression within the parentheses, which is 8x. Since x=1/4, 8x=8/4 or 2. Next, multiply this value by -3. -3*2=-6
Answer: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Answer:
$27.2
Step-by-step explanation:
A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression (0.85).32 represents the final price of the cake in dollars.
This is explained in the calculation below
= A cake that costs $32 is on sale for 15% off
The amount off the cake is calculated as
= 15% of $32
= 15/100 × 32
= $4.8
The amount he is paying for the cake =>$32 - $4.8
= $27.2
The above expression is obtained as
(0.85).32
= (100% - 15%) × 32
=( 1 - 0.15) × 32
= 0.85 × 32
= $27.2
The final price of the cake = $27.2