(f+g)(x) is equivalent to f(x) + g(x)
So, you would do (-x^2 +6x-1) + (3x^2 -4x-1)
This is equal to 2x^2 +2x -2
Final answer:
A. (f+g)(x) = 2x^2 +2x -2
Answer: 684 divided by 57=12
Step-by-step explanation:(with reference to the figure)
To find 684 divided by 57 by partial quotients .
Here dividend= 684 and divisor =57
Step 1: Write easy factors of divisor that is nearest to the dividend as follows
57×2=114
57×3=171
57×5=285
57×10=570(nearest easy factor)
Step 2: Now subtract 570 from 684 ,we get 114 then subtract 114=57×2 from it we get 0.
Step 3: Adding the factors we have used in step 1 and 2 ,it will give required quotient=10+2=12
i.e. 684=57(10)+57(2)
Answer:
The volume is 356
, which agrees with the second answer option listed.
Step-by-step explanation:
Recall that the volume of a pyramid is the product of the area of its base(B) times the pyramid's height (h), divided by three:

For our case, the area of the base "B" is the area of a square of side = 8 inches. That is the area B is:

Now we can include this value and the value of the pyramid's height (h=12 in) in the formula for the volume to give the answer:

Answer:
The total cost of purchase of Matt and Natalie are $29.41
Step-by-step explanation:
We are given the following in the question:
Cost of clothing without tax = $27.75
Tax percentage = 6%
Amount of tax on clothing =

Total cost of purchase =
=Total bill without tax + Amount of tax

Thus, the total cost of purchase of Matt and Natalie are $29.41
Answer:
the answer to the equation is x + 12
Step-by-step explanation:
x + 5 + 7 = x + 12
x + 12