An equation written in slope-intercept form is y=mx+b, where m is a constant equal to the slope. Parallel lines have the same slope. So a line parallel to y=-2x+3 is y=-2x+5. Perpendicular lines have slopes which are negative reciprocals of each other. So a line perpendicular to y=-2x+3 is y=1/2x+7. y=2x-1 is neither parallel of perpendicular to y=-2x+3.
Answer:
1.80 times 3.9
Step-by-step explanation:
to find the total cost of grapes, you need to multiply 1.80 and 3.9, which is $7.02.
You'll have to set this up as two separate problems. First, we want to take 15% off the original $20 bill. To do this, you're going to multiply 20 by .15, which gives you $3. So, 15% off $20 is $17.
Now, we want to find 7% of the new bill, so we're going to multiply 17 by .07 to get $1.19, and add it to the $17, making the final bill $18.19. You could also multiply $17 by 1.07 to get your final total without the extra step in the middle, but only do that once you're comfortable with the math.
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Answer:
D. All three functions have the same minimum value
Step-by-step explanation:
f(x) = -3 sin (x-pi) +2
Sin has a minimum value of -1, but since it is multiplied by a negative, we want its maximum value
sin has a maximum of 1
f (min) = -3(1) +2 = -1
g(x) has a minimum at x =3
g(minimum) = -1
h(x) = (x+7)^2 -1
The smallest a squared value can be is zero
= 0 -1
h(min) =-1
Answer:
The smaller board would be 2.75 feet and the longer one would be 10.25 feet.
Step-by-step explanation:
In order to find this, assume the shorter board is equal to x. Next, we would know that the longer board would be equal to x + 7.5. Using these two assumptions, we can add the lengths together, set equal to 13 and then solve for x.
x + (x + 7.5) = 13
2x + 7.5 = 13
2x = 5.5
x = 2.75
Now that we have the length of the shorter board, we can add 7.5 to it to get the larger one.
2.75 + 7.5 = 10.25