Answer:
You can visualize this easily.
y=f(x+h)
Now if the argument of the function is taken as (x−h) the value of y will be f((x−h)+h)=f(x)
The function y acquires the value of f(x) at (x−h) amounting to a left shift.
Hope this makes things clear.
Step-by-step explanation:
Answer:
a = (r/x) -b
x = -14
Step-by-step explanation:
r=x(a+b)
Divide each side by x
r/x = a+b
Subtract b
r/x -b = a
x/2=-7
Multiply each side by 2
x/2*2 = -7*2
x = -14
Step-by-step explanation:
We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.
<u>Step 1</u>
Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.
<u>Step 2</u>
The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.
Our final answer: l = 7.5 feet
We can check our answer by multiplying all the numbers together.
4 * 5* 7.5 = 150
Answer:
35.32
Step-by-step explanation:
The regression equation usually demonstrated as
y=a+bx.
In the above equation y is the dependent variable, x is the independent variable, a is the intercept of regression line and b is the slope of regression line.
The given regression equation is
y^=0.06x+14.2
The predicted value of y can be computed by simply putting the value of x in above equation.
So,
y^=0.06(352)+14.2
y^=21.12+14.2
y^=35.32
Thus, the predicted value of y for x=352 is 35.32.
