Answer: h(x) = 3*x^2 - 7*x + 8
Step-by-step explanation:
The rate of change of a function is equal to the derivate:
remember that a derivate of the form:
k(x) = a*x^n is k'(x) = n*a*x^(n-1)
Then we have:
f(x) = 2*x - 10
f'(x) = 1*2* = 2
g(x) = 16*x - 4
g'(x) = 1*16 = 16
h(x) = 3*x^2 - 7*x + 8
h'(x) = 2*3*x - 1*7 = 6*x - 7
So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)
Answer:
it rly doesnt matter
Step-by-step explanation:
try making _/
u can see that u can have 2 angles that you can make. Doesnt matter! :)
Answer:
w = 2
Step-by-step explanation:
Distribute the expression and compare like terms with the simplified version.
Given
wx(3y² + 6y - 2) ← distribute parenthesis
= 3wxy² + 6wxy - 2wx
Compare coefficients of like terms with
6xy² + 12xy - 4x
Compare xy² term, then
3w = 6 ( divide both sides by 3 )
w = 2
Compare xy term, then
6w = 12 ( divide both sides by 6 )
w = 2
Compare x term, then
- 2w = - 4 ( divide both sides by - 2 )
w = 2
Hence the required value of w is 2
Answer:
The smaller board would be 2.75 feet and the longer one would be 10.25 feet.
Step-by-step explanation:
In order to find this, assume the shorter board is equal to x. Next, we would know that the longer board would be equal to x + 7.5. Using these two assumptions, we can add the lengths together, set equal to 13 and then solve for x.
x + (x + 7.5) = 13
2x + 7.5 = 13
2x = 5.5
x = 2.75
Now that we have the length of the shorter board, we can add 7.5 to it to get the larger one.
2.75 + 7.5 = 10.25
Answer:
(-5.77, 6.46)
Step-by-step explanation:
15x + 9y = 45 ----------- i
9x + 8y = 12----------------ii
Multiply equation i by 9 the coefficient of x in equ ii
And equation ii by 15 the coefficient of x in equ I
9 x 15x + 9y = 45 ----------- i
15 x 9x + 8y = 12----------------ii
135x+81y = 405
135x+120y= 180
Subtract equation ii from I
135x-135x+81y-(+120y)= 405-180
-39y=225
y = 225/-39 = -5.77
Insert the value of y in equ i
15x + 9y = 45
15x+9(-5.77) = 45
15x-51.92=45
15x = 45+51.92
15x= 96.92
x = 96.92/15= 6.46
(x,y) = (-5.77, 6.46)
x = 6.92/15
