Answer: (10, ∞)
Step-by-step explanation:
See the graph in the attached image.
Answer:
72 N
Step-by-step explanation:
From the question.
Force is directly proportional to acceleration, with the mass of the object constant.
F α a
F = ka
F₁/a₁ = F₂/a₂....................... Equation 1
Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.
make F₂ the subject of the equation
F₂ = (F₁/a₁)a₂................ Equation 2
Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²
Substitute these values into equation 2
F₂ = (64/8)(9)
F₂ = 72 N
Answer:
6y² - 20y + 6
Step-by-step explanation:
Use FOIL method
(3y - 1)(y-3) = 3y*y + 3y*(-3) + (-1)*y + (-1)*(-3)
= 3y²- 9y - y + 3 {add the like terms}
= 3y² - 10y + 3
2(3y - 1)(y - 3) = 2 ( 3y² - 10y + 3)
= 2*3y² - 2*10y + 2*3
= 6y² - 20y + 6
Let f(x)=y
f^-1(x)=x
y=1/(x+5) - 1
y+1=1/(x+5)
(x+5)=1/(y+1)
x=1/(y+1)-5
f^-1(x)=1/(x+1) -5
denominator cannot equals to zero
x+1≠0
x≠-1
answer
B
<u> </u><u>48 square inches per inch </u><u> is the average rate of change in surface </u><u>area</u><u>.</u>
What is an area in math?
The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.
The surface area of a cube of side length e is:
A(e) = 6 *e².
The rate of change is:
A'(e) = 2 * 6 * e
The average rate of change between 3 in and 5 in is:
r = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in
Now, the options are given in:
"squere inches per inch"
This is written as:
in^2/in = in.
Then we can write our above rate as:
r = 48in = 48in^2/in = 48 square inches per inch.
Learn more about area
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