Answer:
Number of small boxes shipped = 7
Number of large boxes shipped = 15
Step-by-step explanation:
Let the number of small boxes = s
And the number of large boxes = l
Weight of small box = 25 pound
Weight of the large box = 50 pounds
Total weight of the shipment = 925 pounds
Therefore, equation for the weight of shipment will be,
25s + 50l = 925
s + 2l = 37 ----- (1)
Total number of boxes shipped = 22 boxes
Therefore, equation will be,
s + l = 22 ------(2)
Subtract equation (2) from equation (1)
(s + 2l) - (s + l) = 37 -22
l = 15
From equation (2)
s + 15 = 22
s = 7
Therefore, number of small boxes shipped = 7
Number of large boxes shipped = 15
Answer:
Step-by-step explanation:
Given
Required
Find all product of real values that satisfy the equation
Cross multiply:
Subtract 7 from both sides
Reorder
Multiply through by -1
The above represents a quadratic equation and as such could take either of the following conditions.
(1) No real roots:
This possibility does not apply in this case as such, would not be considered.
(2) One real root
This is true if
For a quadratic equation
By comparison with
Substitute these values in
Add 56 to both sides
Divide through by 4
Take square roots
Hence, the possible values of r are:
or 
and the product is:
See it is < and not ≤ so we don't include -4
put a circle around -4 but don't shade it in
to get there, move 4 units left from 0
then we see x is less than -4
so shade to the left of the circle
Answer: A is certainly true.
Step-by-step explanation:
Moving 4 units to the left would change from y=x^2 to y=(x+4)^2.
