Answer:
y = 0.75x + 1
Step-by-step explanation:
Here, we want to write an equation in slope-intercept form to represent this information
Since $1 is the cost of 1 only, this represents our y intercept
It means if we are not interested in purchasing more than 1, our cost will be $1
Now, for each one bought after, we have a rate of $0.75 per one
Mathematically, that will be $0.75 times the number bought after
Hence. we have that;
y = 0.75x + 1
if 1, x = 0; so we have cost of 1 as $1
Answer:

Step-by-step explanation:
If
, then
. It follows that
![\begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \cdot [g(x+h) - g(x)] \\&= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5C%5C%5Cfrac%7Bg%28x%2Bh%29-g%28x%29%7D%7Bh%7D%20%26%3D%20%5Cfrac%7B1%7D%7Bh%7D%20%5Ccdot%20%5Bg%28x%2Bh%29%20-%20g%28x%29%5D%20%5C%5C%26%3D%20%5Cfrac%7B1%7D%7Bh%7D%20%5Cleft%28%20%5Cfrac%7B1%7D%7Bx%2Bh%7D%20-%20%5Cfrac%7B1%7D%7Bx%7D%20%5Cright%29%5Cend%7Baligned%7D)
Technically we are done, but some more simplification can be made. We can get a common denominator between 1/(x+h) and 1/x.

Now we can cancel the h in the numerator and denominator under the assumption that h is not 0.

9514 1404 393
Answer:
-130 °C
Step-by-step explanation:
The change is found by subtracting the start temperature from the finish temperature. It is ....
-60 °C - 70 °C = -130 °C
Answer:
<h2>The area of the triangular base = 8 ft²</h2>
Step-by-step explanation:
The formula of a volume of a prism:


We have

Substitute:
<em>divide both sides by 9</em>

Answer:
The answer is C.
Step-by-step explanation:
Multiply.
Hope this helps :)