Answer:
these are the answers you need and you'll need it anyways yw
Answer:
(3x+7y)(3x−7y)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=3x and b=7y
Umm if you need more details just ask.
Hope this helps .-.
F(x) is a piecewise function defined as:
f(x) = (3/2)x when 0 <= x <= 2
or
f(x) = -(3/2)x+6 when 2 < x <= 4
g(x) is defined as:
g(x) = -(1/4)x+1 when 0 <= x <= 4
Based on the graph or through the equations we can say:
f(1) = (3/2)*1 = 1.5
g(1) = -(1/4)*1+1 = 0.75
f(3) = (3/2)*3 = 4.5
g(3) = -(1/4)*3+1 = 0.25
And the derivative values are:
f ' (1) = 3/2 = 1.5
f ' (3) = -3/2 = -1.5
g ' (1) = -1/4 = -0.25
g ' (3) = -1/4 = -0.25
which are the slopes of each line
So...
h(x) = f(x)*g(x)
h ' (x) = f ' (x)*g(x) + f(x)*g ' (x) ... product rule
h ' (1) = f ' (1)*g(1) + f(1)*g ' (1)
h ' (1) = 1.5*0.75 + 1.5*(-0.25)
h ' (1) = 0.75
and,
h(x) = f(x)*g(x)
h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)
h ' (3) = f ' (3)*g(3) + f(3)*g ' (3)
h ' (3) = -1.5*0.25 + 4.5*(-0.25)
h ' (3) = -1.5
Answer: The cost for 20 people equals $180.
Step-by-step explanation:
Given: It costs $100 to rent the bowling alley, plus $4 per person.
The cost for any number (n) of people can be found using the expression
We can find the cost for 20 people by substituting n=20 in the above expression, we get
Hence, The cost for 20 people equals $180.
Step-by-step explanation:
width of rectangle(w)=x let
length (l)=4x
perimeter of rectangle=70
2(l+w)=70
2(4x+x)=70
8x+2x=70
10x=70
x=70/10
x=7
again,
- length =4x=4×7=28cm
- width=x=7
area of rectangle =l×w
hope it helps.
