When a quantity grows (gets bigger), then we can compute its PERCENT INCREASE:
[beautiful math coming... please be patient] <span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span></span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span></span></span>
Some people write this formula with <span><span>100%</span><span>100%</span></span>
at the end,
to emphasize that since it is percent increase, it should be reported as a percent.
So, here's an alternate way to give the formula:
<span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span>⋅100%</span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span>⋅100%</span></span>
Recall that <span><span>100%=100⋅<span>1100</span>=1</span><span>100%=100⋅<span>1100</span>=1</span></span>
.
So, <span><span>100%</span><span>100%</span></span>
is just the number <span>11</span>
!
Multiplying by <span>11</span>
doesn't change anything except the name of the number!
Hope this helps
Answer:
x - intercept = -4
Step-by-step explanation:
We are told the function f(x) has a slope of 3/2 and a y-intercept of 6.
From general line equation, the formula is; y = mx + c
Where m is the slope and c is the intercept.
Thus, the equation is;
f(x) = (3/2)x + 6
Now,to find the x-intercept on the graph, it will be at a point where f(x) = 0.
Thus let's put 0 for f(x) to find the x-intercept.
0 = (3/2)x + 6
(3/2)x = -6
x = -6 × 2/3
x = -4
The denominator is 20. If you multiply 10 by 2 and then divide it by 1 you will get the answer. This works with almost all fractions as long as there exists an equal sign in-between them.
Sine the roots x=1 and x=0 have a multiplicity of 2, we know p(x)= (x-1)^2 (x)^2 (x-a). Since we also know x=-3 is a root, we have p(x)= (x-1)^2 x^2 (x+3)
