Answer:
1.17279656871
Step-by-step explanation:
Answer:
The equation in slope-intercept form is y = 8x
The slope represents the unit cost
A party for 40 people would cost $320
Step-by-step explanation:
The volume is 675 because when you multiply 20x15 you get 300 and when you multiply 25x15 you get 375. When you add 375+300 you get 675 as your volume.
Answer:
He will spend $560 in 8 weeks
Step-by-step explanation:
So 260 for every 3 weeks how much will he make in 8 weeks
so 240+ 240
cause he makes 240 every 3 weeks
so he will make 480 in 6 weeks.
then to get how much he makes in 1 week you divide 240 into 3
so 240 divided by 3 equals 80 So he makes 80 in 1 week.
So 240+240+80=560
So he make $560 in 8 weeks
Answer:
y = -(5/2)x + 3 is a line perpendicular to y = (2/5)x + 2. This line is also perpendicular to y = (2/5)x + 9 because it has the same slope.
Step-by-step explanation:
A) So the line you are given is written in slope intercept form y = mx + b meaning that the slope of the line is m = 2/5 and the intercept b = 9 (so the line hits the y axis at 0,9). A line that is parallel has to have the same slope so we know our m is the same. So we have y = (2/5)x + b. We need b. It passes (0, 2) since the x coordinate is 0 you know the y intercept is 2 but you can verify this using the point slope formula:
y - y1 = m(x - x1) plug in values
y - 2 = (2/5)(x - 0) now simplify
y - 2 = (2.5)x last solve
y = (2/5)x + 2 see how when the x coordinate is 0 you can automatically use the point slope intercept formula? Neato!
B) Now we want a line perpendicular to y = (2/5)x + 2 and that passes through 0,3. What are the properties of a line perpendicular to a line of the form y = mx + b and passes through (0, 3)? We know that the slope of this new line will be the reciprocal and have the opposite sign of m. So the new slope we will call it mnew = -(1/m) so plug in for m and you get mnew = -(1/[2/5]) if you simplify you get that the mnew = -(5/2). So we have half of our equation for the perpendicular: y = -(5/2)x + b. If you look at (0, 3) you see that the y intercept is 3 so b = 3. So:
