Answer:
D
Step-by-step explanation:
A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.
Let's examine each choice.
(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.
(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.
(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.
(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.
Therefore, the answer is D.
Answer: 24 cups.
Step-by-step explanation:
Let be "x" the amount of cups of peaches that Fred will need to make 60 cups of fruit salad.
According to the information given in the exercise, you know that the ratio of cups of peaches to cups of cherries is the one shown below:
Which can also be written as a fraction:
Then, if he uses 2 cups of peaches and 3 cups of cherries, he will get 5 cups of fruit salad.
Knowing the above, you can set up the following proportion:
Now you must solve for "x" in order to find its value. This is:
Answer:
x = -43
y = -4
Step-by-step explanation:
In this question, you will have to find the value of x in terms of y using one of the equations and substituting the value in the other equation or vice versa.
Let's assume the numbers x and y, now we write the expressions.
x + y = -47
x - y = -39
Take the second equation and find x.
<u>Calculations:</u>
x - y = -39 (Add y on both sides)
x = -39 + y
Now that you got the value of x in terms of y, we can substitute.
<u>Calculations:</u>
(-39 + y ) + y = -47
2y - 39 = -47
2y = -8
y = -8/2 = -4
y = -4
Now that we got y, we can substitute that value in any of the equations to find x.
x - 4 = -47 or x + 4 = -39
x = -43
I am better at substitution, but you want to get the equations as similar as possible, but are the opposite, so you can cancel it out.
