Answer:

Step-by-step explanation:
1) Add 1 to both sides.

2) Simplify -3 + 1 to -2.

3) Multiply both sides by 6.

4) Simplify 2 × 6 to 12.

<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>h</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-12</u></em><em><u>.</u></em>
Yes you used the chain rule properly to follow the correct steps to get the right answer. Great job.
If you wanted, you can come up with examples for f(x) and g(x) to help confirm the answer. A quick way to do this is to use something like GeoGebra to help graph the two expressions and you'll notice that the curves match up perfectly (indicating equivalent expressions). Note: GeoGebra can handle derivatives through the Derivative[] comand or you can type the function in the input bar with a tickmark after it to tell GeoGebra to derive the function.
Answer:
2.5 pounds
Step-by-step explanation:
4 ounces - 1 smoothie
40 ounces - 10 smoothies
40 ounces = 2.5 pounds
Answer:
b = 30 / a
which agrees with the third expression in the list of possible options
Step-by-step explanation:
When we say that a and b vary inversely, that means that in mathematical form:
b = k / a where "k" is the so called "constant of proportionality". In order to write the function that models this inverse variation, we need to find the value of "k". We do such by using the information they provide (b = 5/2 when a = 12):
5/2 = k / 12
Then, solving for "k":
5 * 12 / 2 = k
60 / 2 = k
k = 30
Then we can now write the function that models this inverse variation:
b = k / a
b = 30 / a
Answer: $181,500
Step-by-step explanation:
If amount paid for house and one acre of land = 165,000
Then, additional acre of land is 4.3 acres- 1 acre of land purchased with the house = 3.3 acres of land
If additional acre goes for 5,000 per acre
1 acre = 5,000
3.3 acres = 5,000 x 3.3 = $16,500
Total amount paid for the land and the land
= cost of house and land + cost of additional 3.3 acres of land
= 165,000 + 16,500
= $181,500