Answer:
<h2>
y=0.35m+50</h2>
Step-by-step explanation:
Step one:
given data
the daily fee= $50
cost per mile driven =$0.35
Let m = the number of miles
let y be the total cost
Step two
Required
the expression for the total cost is
An algebraic expression that shows the amount he will pay for the van. is
<em>y=0.35m+50</em>
Answer:
The integrals was calculated.
Step-by-step explanation:
We calculate integrals, and we get:
1) ∫ x^4 ln(x) dx=\frac{x^5 · ln(x)}{5} - \frac{x^5}{25}
2) ∫ arcsin(y) dy= y arcsin(y)+\sqrt{1-y²}
3) ∫ e^{-θ} cos(3θ) dθ = \frac{e^{-θ} ( 3sin(3θ)-cos(3θ) )}{10}
4) \int\limits^1_0 {x^3 · \sqrt{4+x^2} } \, dx = \frac{x²(x²+4)^{3/2}}{5} - \frac{8(x²+4)^{3/2}}{15} = \frac{64}{15} - \frac{5^{3/2}}{3}
5) \int\limits^{π/8}_0 {cos^4 (2x) } \, dx =\frac{sin(8x} + 8sin(4x)+24x}{6}=
=\frac{3π+8}{64}
6) ∫ sin^3 (x) dx = \frac{cos^3 (x)}{3} - cos x
7) ∫ sec^4 (x) tan^3 (x) dx = \frac{tan^6(x)}{6} + \frac{tan^4(x)}{4}
8) ∫ tan^5 (x) sec(x) dx = \frac{sec^5 (x)}{5} -\frac{2sec^3 (x)}{3}+ sec x
Answer:
C. 20
Step-by-step explanation:
Answer:
g(x)=3(x+3)^2-8
Step-by-step explanation:
You can solve by using these acronyms.
H. orozontal.
I. nside.
O. pposite.
Meaning that a horozontal translation would be written inside the parenthesis and the poopsite sigh you would usually (Ex. Left is usually negitave but in this case it is positive).
The other acronym is,
V. erticle.
O. utside.
S. ame.
Meaning for a vrerticle translation the number would go on the outside of the parenthesis and tha sign would be normal (Ex. Negitave would be left and positive would be right).
For this one use H.I.O sinse you are moving on a horozontal plain. You are only working with the (x-2) nothing else matters.
Since you are moving left the number will move up 3 hence the O.
<h2><u>This transformation leaves you with g(x)=3(x+3)^2-8</u></h2>
