<span>x2 + 4
=5^2 +4
= 25+4
=29
answer is 29</span>
Answer: D, 6km/hr.
Step-by-step explanation:
Heather can finish a 12-kilometer race in 2 hours, and now we have to find how many kilometers she can ride/run at in 1 hour.
How many hours can Heather run in 1 hour? To solve that, we can use the equation 12 ÷ 2.
12 ÷ 2 = 6.
Therefore, if Heather keeps her pace constant, then her rate will be 6km/hr, or D.
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.
Hello from MrBillDoesMath!
Answer:
Positive x-intercept = + sqrt(3)
Negative x-intercept = - sqrt(3)
Discussion:
Generally, the x-intercept of a function g(x) occurs where g(x) = 0. In our case this is
g(x) = 0 =>
3x^2 - 9 = 0 => (add 9 to both sides of the equation)
3 x^2 = 9 => (divide both sides by 3)
x^2 = 9/3 = 3 =>
x = +\- sqrt (3)
Positive x-intercept = + sqrt(3)
Negative x-intercept = - sqrt(3)
Thank you,
MrB
1,234
One thousand
Two hundred
Thirty four
