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.
Answer:
D
Step-by-step explanation:
To find the intercepts, that is where the line crosses the x and y axes
• Let x = 0, in the equation for y-intercept
• Let y = 0, in the equation for x- intercept
x = 0 : - 3y = - 9 ⇒ y = 3 ⇒ (0, 3) ← y- intercept
y = 0 : x = - 9 ⇒ (- 9, 0 )← x- intercept
Answer:
I thinks it's y=3x+5
Step-by-step explanation:
try to use desmos to calculate it
The interest on the investment when the interest rate is 9% is; $101.25.
<h3>What is the interest when the interest rate is 9%?</h3>
It follows from the task content that the interest on an investment varies directly as the rate of interest.
Hence, it follows from proportion that the interest when the interest rate is; 9% can be calculated as follows;
= 9 ×45/4
= $101.25
Ultimately, the interest on the investment evaluated by means of proportional reasoning is therefore; $101.25.
Read more on proportional relationship;
brainly.com/question/21302696
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