A fruit vendor noticed a proportional relationship between the sales of two of its most popular items, pounds of apples and poun
ds of oranges. The graph below shows the relationship between the two items.
What is true or false
The point 1, 2/3 on the line shows that the unit rate of pounds of apples sold to pounds of oranges sold is 2/3 of a pound of apples per pound of oranges. (True or false
The point (15,10) on the line shows that for every 10 pounds of oranges sold, there will be 15 pounds of apples sold. (True or false)
The point (18,12) on the line shows that for every 12 pounds of apples sold, there will be 18 pounds of oranges sold. (True or false)
The point (12,8) on the line shows that for every 8 pounds of oranges sold, there will be 12 pounds of apples sold. (True or false)
What is true or false
The point 1, 2/3 on the line shows that the unit rate of pounds of apples sold to pounds of oranges sold is 2/3 of a pound of apples per pound of oranges. (True or false
The point (15,10) on the line shows that for every 10 pounds of oranges sold, there will be 15 pounds of apples sold. (True or false)
The point (18,12) on the line shows that for every 12 pounds of apples sold, there will be 18 pounds of oranges sold. (True or false)
The point (12,8) on the line shows that for every 8 pounds of oranges sold, there will be 12 pounds of apples sold. (True or false)
1 answer:
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Dividing by a fraction is equivalent to multiply by its reciprocal, then:
Now, we need to express the quadratic polynomials using their roots, as follows:
where y1 and y2 are the roots.
Applying the quadratic formula to the first polynomial:
Applying the quadratic formula to the second polynomial:
Applying the quadratic formula to the third polynomial:
Applying the quadratic formula to the fourth polynomial:
Substituting into the rational expression and simplifying:
Answer:
3) ,
, or
(same thing)
4) or
(same thing)
5) or
(same thing)
Step-by-step explanation:
3) Domain represents the amount of -values in a function. The image shows that the function's arrows point in both directions (right and left), infinitely, so the domain would be
,
, or
(same thing).
4) Range represents the amount of -values in a function. The function goes downward forever (
) by the indication of an arrow and halts just under the y-axis (
). After combining these two inequalities, you see that the range is
or
(same thing).
5) The -intercept is where the function crosses the
-axis. In this function, the
-intercept is
or
(same thing).