Answer:
C) f(x) increases by 900%
Step-by-step explanation:
The rate of change is
f(4) - f(3)
---------------
4-3
f(4) = 9*4 = 36
f(3) = 9*3 = 27
36 -27
---------------
4-3
9
-----
1
The rate of change is 9
To change to a percent, multiply by 100%
9*100% = 900%
Answer:
47
Step-by-step explanation:
The number that should go after 23 is 47.
The pattern seems to be (n * 2) + 1, where n is the value of the previous number.
We start with the number 5:
5
(5 * 2) + 1 = 11
11
(11 * 2) + 1 = 23
23
(23 * 2) + 1 = 47
47
... and so on
The pattern should continue as follows.
Hope this helps!
You can work these in your head if you consider the revenue generated by the least contributor (children's tickets) and the difference in revenue between that and the larger contributor ($2.00 -1.50 = 0.50).
If all were children's tickets, the revenue would be 500*$1.50 = $750.00. The actual revenue exceeded that amount by $862.50 -750.00 = 112.50. This difference in revenue is made up by the sale of $112.50/$0.50 = 225 adult tickets. Then the number of children's tickets is 500 -225 = 275.
225 adult tickets were sold
275 children's tickets were sold.
_____
If you need an equation, you can write an equation using a variable for the number of adult tickets sold (the largest contributor).
.. (500 -a)*1.50 +a*2.00 = 862.50
.. 0.50a = (862.50 -750.00) . . . . . does this look familiar, yet?
.. a = 112.50/0.50 = 225
Step-by-step explanation:
The solutions are 2 and 5
Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:
x^2 = 7x - 10
Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.
x^2 + 10 = 7x
Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.
x^2 - 7x + 10 = 0
Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.
(x - 2)(x - 5) = 0
You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.
x - 2 = 0
x = 2
One of the solutions is 2, because you add 2 to x to get 0.
x - 5 = 0
x = 5
The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.
2^2 = 7(2) - 10
4 = 14 - 10
So 2 is definitely a solution.
5^2 = 7(5) - 10
25 = 35 - 10
5 is also a solution.
Hope that helps :]
The number of bags of grass seed that are needed to seed the new rectangular lawn is approximately 19 bags .
<h3>Perimeter of a rectangle</h3>
The perimeter of a rectangle is the sum of the whole sides of the rectangle.
Therefore,
perimeter of the rectangle = 298 ft
The width is 67 ft.
Hence
perimeter of rectangle = 2(l + w)
where
Therefore,
298 = 2 ( l + 67)
298 = 2l + 134
298 - 134 = 2l
164 = 2l
l = 164 / 2
l = 82 ft
Therefore,
area of the rectangle = 82 × 67 = 5494 ft²
285 ft² = 1 bag of grass seed
5494 ft² = ?
cross multiply
number of bag of grass seed to fill the new rectangular lawn = 5494 / 285
number of bag of grass seed to fill the new rectangular lawn = 19.2771929825
learn more on rectangle here: brainly.com/question/16878024
