The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. We know that if 2 lines are parallel to one another, their slopes are exactly the same. So the slope of the new line is 5, just like the slope of the original line. We also have a coordinate in the form of (x, y) to fit into that line equation and solve it for b. Like this: -1 = 5(-6) + b and -1 = -30 + b and b = 29. Now we can rewrite the equation fitting in the given slope and the newly found y-intercept value of 29: y = 5x + 29 is the new line.
Answer:
which is the first option in the list of possible answers.
Step-by-step explanation:
Recall that the minimum of a parabola generated by a quadratic expression is at the vertex of the parabola, and the formula for the vertex of a quadratic of the general form:
is at 
For our case, where 
we have:
And when x = 1, the value of "y" is:
Recall now that we can write the quadratic in what is called: "vertex form" using the coordinates 
of the vertex as follows:
Then, for our case:
Then, for the quadratic equal to zero as requested in the problem, we have:
Answer:
-2
Step-by-step explanation:
I hope it helped you
bye
Answer:
this mah not be right but i believe it is 7.6
Step-by-step explanation:
if i did it correctly where you just divide 38 by 5 it should be 7.6
Answer:
120
Step-by-step explanation:
We let N be such that
9N = number pear juice bottles,
1N = number of pineapple juice bottles,
2N = number of grapefruit juice bottles.
Then, 20 = 2N, so that N = 10, and
The total number of juice bottles =
9N+1N+2N =
9(10)+1(10)+2(10)=
90+10+20=120
