Write an equation for the translation of y = |x|. 10.5 units left
a. y = |x + 10.5|
b. y = |x – 10.5|
c. y = |x| – 10.5
d. y = |x| + 10.5

A.

Step-by-step explanation:

We are given that,

The parent function is .

Now, the parent function is shifted 10.5 units to the left.

So, the new function is given by .

Hence, option A is correct.

Small box weighs 35 pounds.

Large box weighs 40 pounds.

Step-by-step explanation:

Let the weight of a small box be x and the weight of the large box be y pound:

x + y = 75

60x + 70y = 4900

6x + 7y = 490  A

Mulyiply the first equation by 6:

6x + 6y = 450 B

Subtract equation A - equation B:

y = 40 so the large box weighs 40 pounds.

Substitute y = 40 into x + y = 75:

x + 40 = 75

x = 75 - 40

x = 35 .