Answer:
Step-by-step explanation:
Let C represent number of dairy cows.
We have been given that each dairy cow produces 3500 gallons of milk per year. So amount of milk produced by C cows in 1 year would be 
gallons.
We are also told that the dairy sells milk for 2.00 per gallon. So yearly income I, in dollars for the dairy milk production would be 2.00 times the yearly milk production.
Since yearly milk production from C cows is , so Income would be:
Therefore, the formula represents yearly income (I) as a linear function of C.
Answer:
<u>There are 70 students on the two buses, 42 on the large and 28 on the smaller.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Number of students on the large bus = 42
Number of students on the small bus = 40% of the students
2. How many total students are on the two buses?
For answering the question, we will use the Rule of Three Simple, this way:
42 students are 60% of total students, how much students are the 100%?
Total students = 42 * 100/60
Total students = 4,200/60 = 70
<u>There are 70 students on the two buses, 42 on the large and 28 on the smaller.</u>
See attached picture for steps and answer:
Answer:
9.) A
10.) B
Step-by-step explanation:
please mark as brainliest
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)
