(f+g)(x)=f(x)+g(x)=(2x-6)+(4x+7)=6x+1
(f-g)(x)=f(x)-g(x)=(2x-6)-(4x+7)=-2x-13
(fg)(x)=f(x)×g(x)=(2x-6)(4x+7)=8x^2-10x-42
(f+g)(-2)=f(-2)+g(-2)=(2(-2)-6)+(4(-2)+7)=-11
8/3 is your simplified answer
Answer:
126 apples
Step-by-step explanation:
Let the number of apples picked by Mary=m
Cindy picks 6 times as many as Mary= 6Xm=6m
John picks 8 times as many as Mary= 8Xm=8m
Altogether they picked a total of 135 apples.
m+6m+8m=135
15m=135
m=135/15
m=9
We want to determine how many apples John and Cindy Picked.
John Picked 6m apples
Cindy Picked 8m apples
Their combined total= 6m+8m =14m
Since m=9
14m =14 X9 =126 apples
John and Cindy picked a total of 126 apples
Answer:
If your money is earning a 5% interest rate annually, then it will take 14.4 years to completely double itself.
Step-by-step explanation:
An easy rule of thumb to remember is to take 72 and divide it by the intrest rate as if it was a whole number. For instance, if you were looking at an 8% interest rate, then it would take 9 years to double.
72/5 = 14.4
Hope this helps!
Answer:
The correct answer is c. c is the square of half of b.
Step-by-step explanation:
In all perfect square trinomials, half of the middle number squared gives you the constant. See the example below for proof.
(x + 4)^2
(x + 4)(x + 4)
x^2 + 4x + 4x + 16
x^2 + 8x + 16
You'll notice if you take the middle term (8), cut it in half (4) and then square it (16), the result is the constant.