I think that you typed wrongly. That has to be f(x)= -2x+8
If f(x)= -2x+8, we can solve that problem.
We replace x= -1.8 in that expression, that means: f(-1.8)= -2x(-1.8)+8= 3.6+8=11.6
But if the formula of f(x)=-2+8, that means f(x) has a stable value and that value is -2+8=6.
So for all x we always have f(x)=f(-1.8)=6
Answer:
- length: 14 feet , width: 43 feet, or
- length: 86 feet, width: 7 feet
Both solutions are valid.
Explanation:
1. First assumption is that the shape of the fence is <u>rectangular</u>.
2. Second, assum the length parallel to the wall measure y feet, so the other two lengths, y, together with x will add up 100 feet
3. The, the area of the fence will be:
- length × width = xy = 600
4. Now you have two equation with two variables which you can solveL
- Solve for y in the first equation: y = 100 - 2x
- Substitute the value of y into the second equation: x (100 - 2x) = 600
5. Solve the last equation by completing squares:
- Distributive property: 100x - 2x² = 600
- Divide both sides by - 1: 2x² - 100x = - 600
- Divide both sides by 2: x² - 50x = -300
- Add the sequare of the half of 50 to both sides: x² - 50x + 625 = 325
- Factor the left side: (x - 25)² = 325
- Square root both sides: x - 25 = ± 18.028
- Clear x: x = 25 ± 18.028
- x = 43.028 ≈ 43 or x = 6.972 ≈ 7
Both values are valid,
If x = 43 , then y = 600/43 = 14
If x = 7, then y = 600/7 = 86
Thus, the lenght and width of the fence may be:
- 43 feet (width) and 14 feet (length), or
- 7 feet (width) and 86 feet (length).
Answer:
29 minutes
Step-by-step explanation:
Given
Required
Determine the number of minutes (t) that he was on the trampoline.
This can be expressed as:
Where t represents the number of minutes
Substitute values for Total, Entrance Fee and Amount per minute
Solving further to get the value of t, we have:
Answer:
b ) the intersection of two events
Step-by-step explanation:
Gary and Steve are both hosting . There are 50 buttons total, 15 buttons are blue and 27 buttons are red. Gary puts all of the buttons into a bag. Steve and Gary both want to wear red buttons.What is the probability ? To solve this problem, you need to understand the Multiplication Rule of Probability.This probability means to find the probability of the intersection of two events, multiply the two probabilities.
Probability of two events occurring that is called intersection of two events. There are two different set of events , called independent and dependent events.
Independent events event is not affected by a previous event.
A dependent event is when one event influences the outcome of another event . To find the intersection of two events, whether they are independent or dependent, multiply the two probabilities together.
