The rate that Marcus works is (1/3) of the job in (4/5) of an hour....
(1/3)/(4/5)=1/h
(1/3)(5/4)=1/h
5/12=1/h
5h=12
h=12/5
So Marcus will take 12/5 hours to complete the job.
Answer:
g(- 2) = 11
Step-by-step explanation:
To evaluate g(- 2) substitute x = - 2 into g(x) , that is
g(- 2) = 3(- 2)² - 1 = 3(4) - 1 = 12 - 1 = 11
Answer:
<u><em>Observe the attached image</em></u>
Step-by-step explanation:
We have the graph of a line that passes through the points (0,5) and (2, 1).
The equation of the line that passes through these points is found in the following way:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where
m = slope
![m = \frac {y_2-y_1}{x_2-x_1}\\\\m = \frac{1-5}{2-0}\\\\m = -2\\\\b = y_2-mx_2\\\\b = 1 -(-2)(2)\\\\b = 5](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B1-5%7D%7B2-0%7D%5C%5C%5C%5Cm%20%3D%20-2%5C%5C%5C%5Cb%20%3D%20y_2-mx_2%5C%5C%5C%5Cb%20%3D%201%20-%28-2%29%282%29%5C%5C%5C%5Cb%20%3D%205)
So
![y = -2x + 5](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%205)
We must apply to this function the transformation
.
We know that a transformation of the form
shifts the graph of the function f(x) h units to the right if
, or shifts the function f(x) h units towards the left if
.
In this case
then the transformation
displaces the graph 4 units to the right.
Therefore if f(x) passes through the points (0,5) and (2,1) then
passes through the points (4, 5) (6, 1)
And its equation is:
![y = -2(x-4) +5\\\\y = -2x +13](https://tex.z-dn.net/?f=y%20%3D%20-2%28x-4%29%20%2B5%5C%5C%5C%5Cy%20%3D%20-2x%20%2B13)
<u><em>Observe the attached image</em></u>
Answer:
X = m - 2w
Step-by-step explanation:
just isolate the variable.
Answer:
neither
Step-by-step explanation: