Answer:
1. 4b+3b+15+4
2. 7b+19
Step-by-step explanation:
Both are equivalent expressions :))
Answer:
12 2/12
or 12 1/6 ( simplified fraction)
Step-by-step explanation:
first add the whole numbers together :7+5-4+3=12-1=11 ( same denominator 12)
1/12 +7/12 -5/12 +11/12 = 14/12 ( improper fraction)
= 1 2/12 mixed fraction
11 + 1 2/12=12 2/12 or 12 1/6 ( simplified fraction)
Answer:
y= 2x+4
Step-by-step explanation:
To find slope its y2-y1/x2-x1
Plug it into any coordinate to get 2x
To find b in y=mx+b, you look at the y at the 0, in this case, "(0,4) Thefore the b is 5
Answer:
64π/5 cubic units.
Step-by-step explanation:
The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).
The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.
Using the disk method for volumes of revolution:
Note that x = y^1/3 so:
the second volume = Integral π ((y^1/3)^2) dy between y = 0 and y = 8.
= 3/5 y^5/3 * π between 0 and 8
= 96π/5.
The required volume = π 2^2 *8 - 96π/5
= 32π - 96π/5
= 64π/5.
