Answer:
Number of Weeks - { 1, $120} {4, $480} {8, $960}
Step-by-step explanation:
First divide $1,800 by 15, which gives you 120. for for every week you add on $120. $120 times 4 gives us $480. 960 divided by 120 gives you 8 weeks. (i hope this helps :) )
All the angles inside a quadrilateral add to 360 degrees.
But first, we should solve for x
Opposite angles add up to 180 degrees.
So we'll use angles B and D
x + 10 + x + 24 = 180
combine like terms
2x + 34 = 180
subtract 34 from both sides
2x = 146
divide both sides by 2
x = 73
Now let's solve for the angles
Angle D: x + 24 = 97
Angle B: x + 10 = 83
Angle A: x + 15 = 88
Opposite angles add up to 180
we know that angle A is 88
C + 88 = 180
subtract 88 from both sides
C = 92
Hope this helps!
Answer:
See below.
Step-by-step explanation:
So we have a function f(x) which is:
And this represents the total cost (f(x)) in dollars for renting a beach house for x days.
If we use 5 for x:
Multiply:
This means that the total cost to rent the beach house for 5 days is $1755.
Answer:
- The y-intercept of function f(x) is 2.
- The y-intercept of function g(x) is -3.
Therefore, we conclude that function f(x) has a greater y-intercept.
Step-by-step explanation:
The y-intercept of any function can be determined by checking the value of y at x = 0.
<u>Important Tip</u>
- A point where the graph meets the y-axis — y-intercept.
Determining the y-intercept of the function f(x)
Given the function f(x) passes through the point (0,2).
It means at x = 0, the value of y = 2
Thus, the y-intercept of function f(x) is 2.
Determining the y-intercept of the function g(x)
Given the function g(x)
substitute x = 0 in the function equation
It means at x = 0, the value of y = -3
Thus, the y-intercept of function g(x) is -3.
Conclusion:
- The y-intercept of function f(x) is 2.
- The y-intercept of function g(x) is -3.
As 2 > -3
Therefore, we conclude that function f(x) has a greater y-intercept.
Answer: x = 3. the length of side ST is 14.
Step-by-step explanation:
Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.
To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.
The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.
We then need to simplify the equation to x = 3.
This means the answer to 9 is x = 3.
For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.
This means the length of side ST is 14.