The maximum number of palettes that the elevator can carry in one trip is 5.
425 times 5= 2,125+ 195= 2,320
Hope this helps!! :-)
Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

From this form,

you can determine the coordinates of the vertex to be (1, 3)
5,10,15,20,25,30,35,40,45,50,55,60
6,12,18,24,30,36,42,48,54,60
10,20,30,40,50,60
The answer is 60
Answer:
Hello! answer: 49
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees so...
90 - 41 = 49 therefore a = 49 hope that helps!
Answer:
Yes
Step-by-step explanation:
To see if (2,0) works as a solution to the systems of equations, we plug in the values of x and y and simplify. If the results are equal, then (2,0) is a solution.
3x + y = 6:
- (2,0) is a solution to this equation.
3x - y = 6:
- (2,0) is a solution to this equation.
Therefore, the answer is yes, it does work as a solution.
Have a lovely rest of your day/night, and good luck with your assignments! ♡