Answer:
D. (-2,1)
Step-by-step explanation:
we have
This is the equation of a vertical parabola open upward The vertex represent a maximum
Convert the quadratic equation in vertex form
where
(h,k) is the vertex
Complete the square
Rewrite as perfect squares
The vertex is the point (-2,1)
Answer:
t=2
j=1
Step-by-step explanation:
3 tacos and a juice is $7
3t+j=7
4 tacos and 2 juices is $10
4t+2j=10
We have a simultaneous equation. It can be solved either by substitution method or Elimination method. For the purpose of this question, the elimination method will be used
3t+j=7 Equation 1
4t+2j=10 Equation 2
To eliminate j, we multiply Equation 1 by 2, the coefficient of j in equation 2, so that in both equations, j can have the same coefficient.
2(3t+j=7)
6t+2j=14 Equation 3
We now have
4t+2j=10 Equation 2
6t+2j=14 Equation 3
We subtract equation 2 from equation 3, to eliminate j
6t-4t=2t
2j-2j=0
14-10=4
We have 2t=4
Divide both sides by 2
2t/2=4/2
t=4/2
t=2
Substitute t for 2 in equation 1, to get j
3t+j=7
3(2)+j=7
6+j=7
j=7-6
j=1
One taco cost $2 while 1 juice cost $2
Answer:
0
Step-by-step explanation: 0.25 rounded is 0
Answer: 55% of the students passed the math test
Step-by-step explanation: The fraction 
represents the number of students who passed the math test out of all the students that took the test.
To find out what percent of the students that took the math test passed, we can turn the fraction into a percent.
To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. So to write as a percent, we need to find a fraction that is equivalent to with a 100 in the denominator. We can do this by setting up a proportion.
Now, we can use cross products to find the missing value.
4,400 = 80n
÷80 ÷80
55 = n
Therefore, 55% of the students that took the math test passed it. This should make sense because 40/80 would be half and 44 students is only a little over 50%.
4 ÷ 2 = 2
2 ÷ 4 = 1/2
As we can see, the order in which the numbers are divided yielded different results.
