Answer:
If f(x) = 2x2 - 4x + 3 evaluate for f(3) and f(-4) 2. g(x) = V - 2x; find g(-27) and g(-1) ... {(-3,0), (+3, 3),(-3,2)} ... If f(x) = 5x+5, find and simplify f(4).
Answer:
(4,8)
Step-by-step explanation:
6x-4y=-8
11x+4y=76 eliminate y
6x+11y=-8+76
17 x=68
x=68/17=4
substitute x :
6x-4y=-8
6(4)-4y=-8
-4y=-8-24
y=-32/-4
y=8
Answer:
6 knots
Step-by-step explanation:
Let the speed be v knots
then time taken to cover 500 M = 500 / v hrs
fuel consumption /hr = 216 + 0.5v^3
let F be the fuel consumption for trip
= [500/v][216 + 0.5v^3]
= 500[216/v + 0.5v^2]
dF/dv = 500[ - 216/v^2 + v]
d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve
so setting dF/dv will give a minima
500[ -216/v^2 + v] = 0
or v = 216/v^2
or v^3 = 216
solving, we get v = [216]^(1/3) = 6 knots
You can simplify expressions by simplifying parentheses by using the distributive property and combing like terms.
Combining like terms is the process of adding up numbers with the same variable(s) and exponent. If a term does not have an exponent then an exponent of 1 is implied.
There is no parentheses in the expression 3a + 7 - a - 7
But, there are like terms in the expression.
Which are the like terms?
3a and a are both like terms. They both have the same variables and they both have the same exponent.
7 and -7 are like terms, too.
3a + 7 - a - 7
2a
So, 2a is the simplified version.
If we look at our SOHCAHTOA rule:
cos(x) = adj/hyp
The adjacent side of N is 36, and the hypotenuse is 39.
Therefore:
cos(N) = 36 / 39
