Answer:
(1, 0.5)
Step-by-step explanation:
From the graph attached,
x-values are representing the number of games downloaded,
y - values are representing the total cost.
Unit rate means rate of 1 game downloaded.
If we represent this in terms of coordinates,
x- value (game downloaded) = 1
y - value (price of one game download) = $0.5
Therefore, point (1, 0.5) will represent the unit rate.
Option (2) on the top row will be the answer.
The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
<h3>What is the equivalent expression?</h3>
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is
f(x)=-4x³+x²-6x+8
The option given as,
- (1) x² (-4x+1)-2(3x-4)
- (2) x(-4x²- x + 6) + 8
- (3) -4x³ + (x - 2)(x - 4)
- (4) -4(x³ - 2) + x(x - 6)
From the given expression, if we take out <em>x </em>from the first three terms, it looks like option 2.
f(x)=-4x³+x²-6x+8
f(x)=x(-4x²+x-6)+8
From the given expression, if the last three terms factored, it looks like option 3.
f(x)=-4x³+x²-6x+8
f(x)=-4x³+x^2-4x-2x+8
f(x)=-4x³+x(x-4)-2(x-4)
f(x)=-4x³+(x-4)(x-2)
Rearrange the given expression, and make it looks like option 4.
f(x)=-4x³+x²-6x+8
f(x)=-4x²+8+x²-6x
f(x)=-4(x³-2)+x(x-6)
Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
Learn more about the equivalent expression here;
brainly.com/question/2972832
#SPJ1
the complete question in the attached figure
Volume of the sand V=(1/3)*h*π*r²
we have that
h=30 mm
r=10 mm
v=(1/3)*30*π*10²=1000≈3140 mm³
the rate is 50 mm³/seg
50 mm³--------------------------------------> 1 seg
3140 mm³-------------------------------- X
x=3140/50=62.8 seg
the answer is 62.8 seg
Answer:
Step-by-step explanation:
When looking for constant rate, you have to see what is the repeating rate or coordinate in order to solve constant rate.
Let us take two coordinate points,
If we were to look for constant rate, we have to see the similarity (in this case the multiplication of the two numbers) between the two points.
What can they be?
They both have x multiplying by 5 to get y!
1 * 5 = 5
3 * 5 = 15
The same goes with all other points on the graph, leaving you with five as the constant rate.
2/3 of its capacity - 60 * 2/3 gallons = 40 gallons.
Time to fill to 2/3 is 40 / 4/5 = 40 * 5 / 4
= 50 seconds (answer)
