In function notation (f(x)=mx+b) m represents the slope and b represents the y-intercept.
In a straight horizontal line the slope is always 0. This cancels out the 'x' factor so you get f(x)=b.
To find b you simply look at where the line crosses the y-axis. in this case it crosses at 2.
When you plug in the y-intercept you get f(x)=2
Answer:
7(m-8)
Step-by-step explanation:
We are given: 7 times the difference between m and 8
We want to write an expression. Let’s begin with “the difference between m and 8”.
Difference means subtraction. Therefore, we must subtract m and 8.
(m-8)
Now, let’s add on “7 times”
Times means multiply. Therefore, we must multiply 7 and the expression we just wrote.
7(m-8)
Therefore, 7 times the difference between m and 8 can be written as: 7(m-8)
<em>when </em><em>both </em><em>l </em><em>and </em><em>m </em><em>are </em><em>parallel</em><em> </em><em>then </em>
<em>(</em><em>4</em><em>x</em><em>+</em><em>7</em><em>)</em><em> </em><em> </em><em>=</em><em> </em><em>(</em><em>6</em><em>x</em><em>-</em><em>6</em><em>3</em><em>)</em>
<em>-2x </em><em>=</em><em> </em><em>-</em><em>7</em><em>0</em>
<em>-</em><em>x </em><em>=</em><em> </em><em>-</em><em>7</em><em>0</em><em>/</em><em>2</em>
<em>-x </em><em>=</em><em> </em><em>-</em><em>3</em><em>5</em>
<em>x </em><em>=</em><em> </em><em>3</em><em>5</em>
<em>hope </em><em>it </em><em>helps</em><em> </em><em>and </em><em>ur </em><em>day </em><em>will </em><em>full </em><em>of </em><em>happiness</em>
Answer:
<em>128</em>
Step-by-step explanation:
<em>Method A.</em>
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
<em>Method B.</em>
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
Answer:
c = 0
Step-by-step explanation:
A 3-variable linear system of equations is constructed after replacing known values for x and y:
After making algebraic manipulation, the following solution is found:
and 
and 
The value of c is 0.
