Answer:
C. Yes, because the ratios are equivalent between each pair of values.
Step-by-step explanation:
A relationship between two quantities is proportional if the ratio of the two quantities are the same for all the given possible pairs of values.
In the table given, the ratio of block to mins in the first given pair of values is 3/6 = 3/6 = ½.
In the second given pair, it is 7 to 14 = 7/14 = ½. The same ratio is gotten for the others as well.
Therefore, the table represents a proportional relationship.
The answer is: "C. Yes, because the ratios are equivalent between each pair of values."
Answer:
Below
Step-by-step explanation:
First we can go ahead and create a general equation for this polynomial
Here are our roots :
x1 = - 3
x2 = -1
x3 = 1
Now because this function extends from quadrant 4 to 3, we know that this has been reflected in the x-axis :
f(x) = - ( x + 3 ) ( x + 1 ) ( x - 1 )
However if we look closely you can see that the graph appears to "bounce" off certain roots. In this case it bounces off x = 1. This means that this root is an order of 2. It also has a weird looking curve on x = - 3 which means that this root is an order of 3.
Our general equation will look like this :
f(x) = - ( x + 3 )^3 ( x - 1 )^2 ( x + 1 )
Now we need to sub in any point on the graph to solve for the <em>a </em>value. I'm just going to arbitrarily pick the y-intercept at ( 0 , -3 )
- 3 = - a ( 0 + 3 )^3 ( 0 - 1 )^2 ( 0 + 1 )
- 3 = - a (3)^3 (-1)^2 (1)
- 3 = - a (27)(1)(1)
- 3 = - a27
1/9 = a
Here is our FINAL equation :
f(x) = - 1/9 ( x + 3 )^3 ( x - 1 )^2 ( x + 1 )
Hope this helps! Best of luck <3
I would really appreciate a brainliest if possible :)
You want to make the denominator of the fractions to be equal to each other.
(2/n+8)+(4/n+1) multiply n+1 by n+8, and multiply n+8 by n+1
(4n+32/n^2+8)+(2n+2/n^2+8) Now that the denominators are equal we can solve the numinator by adding like terms.
4n+2n=6n, 32+2=34
Your final answer is 2(3n+17)/n^2+8
Answer:
Formula: (cost of ticket + cost of popcorn) * # of friends = total cost
Which would give us (8 + x) * 5 = 62.5
Solve for x.
8 + x = 12.5 {divide each side by 5}
x = 12.5 - 8
x = 4.5
Each small bag of popcorn costs $4.50.
hope this helps!
