If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f * g) (x)
Answers
⇒(f * g) (x) = ( 3x + 2 ) × ( x² + 1 )
= 3x³ + 2x² + 3x +2
Related Questions
How do you do question number 20 and 21 and 22
Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long
5(t+3)+2(3t+4)-(5t-3)
Is 5/6 is greater than 10/12
Answers
-2x = -10-4
-2x = -14
x=7
Answers
6+7=13 (13)x=13x
if the employee earned $570 in a week, what was the amount of her sales for that week?
Answers
Answer:
Weekly earning of employee, E(w) is given by 450+0.1w, where w is the weekly sales.
Weekly sales for that week = 1200 $
Step-by-step explanation:
A phone store employee earns a salary of $450 per week plus 10% commission on her weekly sales.
Let w be the weekly sales, the weekly earning of employee, E(w) is given by
So
Weekly earning of employee, E(w) is given by 450+0.1w, where w is the weekly sales.
Now we need to find what was the amount of her sales for that week, if she earned 570 $
That is
570 = 450+0.1w
0.1 w = 570 - 450 = 120
w = 1200 $
Weekly sales = 1200 $
Answers
given
25^(z - 4) = 125
ln(25^(z - 4)) = ln (125)
(z-4)ln(25) = ln(125)
z = ln(125)/ln(25) + 4
z = 5.5
which means that the answer is A.
The solution of 25^(z - 4) = 125 is equal to a. Z = 5.5
How to solve this equation
25^(z - 4) = 125
From here we have to the ln of the equation
z-4 ln25 = ln125
z-4 (3.219)= 4.828
From here we have to multiply the equation
3.219z - 12.876 = 4.828
3.219z = 4.828 + 12.876
When we divide this equation by 3.219
We have z = 5.499
Hence z = 5.5
Therefore the solution to the equation is given as 5.5
Read more on solutions to equations here:
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to represent the height of the nth bounce of the ball.
Answers
The value 2.75 goes in the first box, since it's the first term.
The expression goes in the second box. The second line says "to get the nth term, we multiply the previous term by 0.69"
Answers
Answer:
Long division is a method used to divide two numbers and find the quotient and remainder. However, in this case, we were not performing long division to determine the quotients. Instead, we were rearranging the given equation into slope-intercept form, which is a different mathematical process.
In the given equation 14x = 6y - 12, we were asked to express it in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept. To do this, we isolated the y variable on one side of the equation.
By rearranging the equation and dividing both sides by 6, we obtained y = (14/6)x + 2, which simplifies to y = (7/3)x + 2. This form allows us to directly see the slope (7/3) and the y-intercept (2) without having to perform long division.
So, in this case, the approach used was not long division but rather algebraic manipulation to transform the equation into a specific form that provides information about slope and intercept.
Step-by-step explanation:
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