The function that represents how much more water can be added to the bucket before it overflows is given as follows:
c(x) = 6x³ + 3x² - 2x - 2.
<h3>How to define the function?</h3>
The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.
The functions in this problem are defined as follows:
- f(x) = 8x³ + 4x² - 6x + 5.
- g(x) = 2x³ + x² - 4x + 7.
Then the capacity function is obtained as follows:
c(x) = f(x) - g(x)
c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)
Then the distributive property is applied to the negative sign as follows:
c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.
Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:
c(x) = 6x³ + 3x² - 2x - 2.
More can be learned about operations with functions at brainly.com/question/2723982
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I believe you meant milliliters. If so the answer is 1500ml
2 liters = 2000ml
2000/4 = 500 for 1/4
We need 3/4 so we multiply 500 X 3 and get 1500ml
Supplementary angles are 1 and 2 because they equal 180.
The vertical angles are angles 4 and 2 because they are opposite from each other.
Answer:
x = 155
Step-by-step explanation:
First find the missing angle in the smaller triangle.
We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55
Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.
The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.
The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.
Answer:
Step-by-step explanation:
Here, we want to graph the given line
Mathematically, to graph a line, we will
need to work with the intercepts
The general equation of a straight line is;
y = mx + b
m
is the slope and b is the y-intercept
with respect to the question, 4 is the y-intercept
we have this point as (0,4)
To get the x intercept, we will need to substitute 0 for the value of y
So, we have ;
0 = -x + 4
x = 4
The x-intercept too is 4
This is the point (4,0)
So by joining the points (0,4) and (4,0);
we have successfully graphed the line
It can be found as an attachment below
