Answer:
D) h(3)-h(0)/3
Step-by-step explanation:
The average rate of change is found by subtracting the output values (finding the amount of change in the output values) and dividing it by the change in the input values.
The height in the 3rd second would be given by h(3). The original height would be given by h(0). The change in output values would be given by h(3)-h(0).
The change in input values is found by subtracting the two input values, in this case 3 and 0; 3-0 = 3.
This gives us
h(3)-h(0)/3
The radical equation is

.
i) We first isolate the square root, adding 5 to both sides of the equation:

ii) Here let's substitute x+6 with t. Doing so we have:

Squaring both sides, we get:

iii) Collecting the variables on the same side, and factorizing t we have:

, which yields
t=0 or t=1.
Now we solve for x in x+6=t:
x+6=0 ⇒x=-6 and x+6=1⇒x=-5.
iv) Now we check these values in the original equation

:
a)

⇒ 0=0 ; Correct.
b)

⇒ 1=1 ; Correct.
Answer: <span>x = −6 and x = −5 </span>
Answer:
The amount of change she received was
dollar.
Step-by-step explanation:
Price of each carton of milk is
cents and she bought 3 cartons of milk.
We know that, <u>1 dollar = 100 cents</u>
So, 1 cent =
dollar.
and
cents
dollar.
Thus, <u>the total price of 3 cartons of milk</u>
dollar.
She gave the cashier $10.
So, the amount of change she received
dollar.
Here are 3 equivalent expressions that would represent the total number of pencils and pens in Karen's backpack.
1. 4p + 6
2. p+ p + p + p + 6
3. 6 + 4(p)
Each of these has four groups of p +6 represented.