Answer:
The point-slope equation of the line is y - 2 = 3(x + 9)
Step-by-step explanation:
The form of the point-slope equation is y - y1 = m(x - x1), where
- m is the slope of the line
- (x1, y1) is a point on the line
∵ The slope of a line is 3
∴ m = 3
∵ The line passes through point (-9, 2)
∵ x1 = -9
∴ y1 = 2
→ Substitute the values of m, x1, and y1 in the point-slope form
∵ y - y1 = m(x - x1)
∴ y - 2 = 3(x - (-9))
→ Remember (-)(-) = (+)
∴ y - 2 = 3(x + 9)
∴ The point-slope equation of the line is y - 2 = 3(x + 9)
Answer:
fraction 1 over 2 the difference of 734 and 246.
Answer: 7/24
Step-by-step explanation:
Fraction of the items barbecued that are veggie burgers = 3/8
Fraction of the items barbecued that are corn cobs = 1/3
The fraction of the items barbecued that are mushrooms caps will be:
= 1 - (3/8 + 1/3)
The lowest common multiple of 8 and 3 is 24.
= 1 - (3/8 + 1/3)
= 1 - [(3/8 × 24) + [(1/3 × 24)]
= 1 - (9/24 + 8/24)
= 1 - 17/24
= 7/24
Answer: Choice A -- f(x) = (1/3)*|x|
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The input of a function is x and the output is y = f(x)
To vertically compress a function, we will multiply the y value by some fraction smaller than 1. This is so that the y coordinates are a fraction of what they once were.
In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)
So we have y = f(x) become (1/3)*y = (1/3)*f(x) = (1/3)*|x|
Answer:
d = x + 90
Step-by-step explanation:
Total dollars to be paid by Mr. Sykes = Rent for the boat for 3 hours + cost of damage
= 90 + x
