Answer:
75%
Step-by-step explanation:
A percent is a value out of 100.
Change the fraction
to an equivalent fraction with the denominator equal to 100.
×
= ![\frac{75}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B100%7D)
This fraction represents a percent.
= 75%
Answer:
The y-intercept is (0,210)
Step-by-step explanation:
We have the function, ![f(x)=201+9e^{3x}](https://tex.z-dn.net/?f=f%28x%29%3D201%2B9e%5E%7B3x%7D)
So, we know that,
<em>'y-intercept is the point on the graph where the function crosses y-axis'.</em>
i.e. y-intercept is obtained when x=0.
Thus, substituting x=0 in the given function, we get,
![f(0)=201+9e^{3\times 0}](https://tex.z-dn.net/?f=f%280%29%3D201%2B9e%5E%7B3%5Ctimes%200%7D)
i.e. ![f(0)=201+9e^{0}](https://tex.z-dn.net/?f=f%280%29%3D201%2B9e%5E%7B0%7D)
i.e. ![f(0)=201+9\times 1](https://tex.z-dn.net/?f=f%280%29%3D201%2B9%5Ctimes%201)
i.e. ![f(0)=201+9](https://tex.z-dn.net/?f=f%280%29%3D201%2B9)
i.e. f(0) = 210
Also, we can see from the given graph that the function crosses y-axis at (0,210).
Hence, the y-intercept is (0,210).
Subtract 12 on both sides and both 12s cross out leaving -3m= 6 and then divide -3 on both sides and your answer should be m=-2
Answer:
1. y=2x-9
5. y = | x | + 6.5
6. y = | x – 5.5 |
7. y = | x + 8|
Step-by-step explanation:
There is not enough given information for some of the problems. Here are the solutions and reasons for those that area solvable:
Write a perpendicular line to the equation -3x-6y=17 by finding its slope and then flipping it to the negative reciprocal:
So -3x-6y=17 becomes y=-1/2x-17/6 where m = -1/2. The perpendicular slope is 2.
Using the point given, write the equation in point slope form and simplify to the slope intercept form:
![y-y_1=m(x-x_1)\\y-3=2(x-6)\\y-3=2x-12\\y=2x-9](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5Cy-3%3D2%28x-6%29%5C%5Cy-3%3D2x-12%5C%5Cy%3D2x-9)
When translating functions, remember:
- Shifting left or right is addition and subtraction respectfully inside the function.
- Shifting up and down is addition and subtraction respectfully outside the function.
5. A translation of 6.5 units up is +6.5 outside the function y=|x| so equation y=|x|+6.5 is the translation.
6. A translation of 5.5 units to the right is - 5.5 inside the function y=|x| so equation y=|x-5.5| is the translation.
7. A translation of 8 units to the left is +8 inside the function y=|x| so equation y=|x+8| is the translation.
Answer:
4.4 L
Step-by-step explanation:
Given:
Water required for every 2 miles = 1 quart
Total distance traveled = 15 km
Now,
1 km = 0.621 miles
thus,
15 km = 0.621 × 15 = 9.32 miles
Therefore,
Quarts of water required for 15 km (9.32 miles) =
= 4.66 quarts
also,
1 quart = 0.95 L
therefore,
4.66 quarts = 4.66 × 0.95 = 4.427 ≈ 4.4 L