Answer:
10 + 9 = n
19 apples
Step-by-step explanation:
80 ÷ 8 = y and 56 ÷ 6 = a
n = y + a
80 ÷ 8 × 8 = y × 8
80 = 8y
80 ÷ 8 = 8y ÷ 8
y = 10
54 ÷ 6 = a
54 ÷ 6 × 6 = a × 6
6a = 54
6a ÷ 6 = 54 ÷ 6
a = 9
10 + 9 = n
19 = n
The numbers of bars that the team have to get from each company in order for the total cost to be equal is 40.
<h3>What is the purchase about?</h3>
Since n = numbers of bars purchase.
y= total cost in dollars
Company A = 0.75n
Company B = 10 + 0.50n
Therefore, to find the numbers of bars that the team would need to purchase from each company in order for the total cost to be equal =
0.75n = 10 + 0.50n
0.2n = 10
n = 40
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Answer:
D.) 8
Step-by-step explanation:
You can use the Pythagorean theorem because this is a right triangle:

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.
Fill in values:

Simplify exponents:

Isolate the variable. Subtract 225 from both sides:

Find the square root of both sides:

The missing leg length is 8.
Answer:
The rule that represents the function is
therefore the function is 
Step-by-step explanation:
We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>
Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.
<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.
So <u>we propose the rule </u>
<u> which is correct for the first 3 values of x.</u>
Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as


Therefore, the rule is correct, and the function is

Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations


Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.

Arrange equation variables for elimination

Subtract the equations




Now, solve -2x = 6 for x

Divide both sides by -2

Simplify

For y - x = -2 plug in x = -3


Subtract 3 from both sides

Simplify

The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.