Answer: <span>y - 37.5 = 2.5 ( x - 7)
Explanation:
1) The point-slope form is has this form:
y - y1 = m (x - x1)
Where m is the slope or rate of change and x1, y1 are the coordinates of the point.
2) you are told that the the rate of change of water (m) is 2.5
m = 2.5
3) The point is given by that after 7 min the rain barrel contains 37.5 gallons. This is:
x1 = 7
y1 = 37.5
</span>4) Replace those value in the point-slope model:
y - 37.5 = 2.5 ( x - 7)
That is the point-slope model or equation.
Answer:
the equation fits the situation, but the table doesn’t.
Step-by-step explanation:
For both functions, the lead roller coaster car starts at an initial height of 32 feet. This is the point (0,32), directly above Landon.
The car races past Landon’s field of vision (y = 0) after it moves a horizontal distance of 4 feet and then 8 feet with respect to the starting point. So, the correct function will have x-intercepts of 4 and 8.
Begin by checking the equation. Rewrite the equation in factored form:
f(x) =
− 11
+ 20x + 32
= (x + 1)(
− 12x + 32)
= (x + 1)(x − 4)(x − 8)
The equation has x-intercepts of 4 and 8.
But the table only has one x-intercept, located at (4,0). The point (8,160) is well out of Landon’s line of sight.
So, the equation fits the situation, but the table doesn’t.
Answer:
x = 80
Step-by-step explanation:
In a quadrilatoral the interior angle sum always adds up to 360 degrees so to find x you would add all of the interior angle sums and subtract that from 360
115 + 95 + 70 + x = 360 just add the like terms
280 + x = 360 now subtract 280 from both sides so x is alone and you can figure out its value
x= 80
Answer:
g = 1000K
Formula: Multiply the amount of kilograms with 1000 to convert it into grams
Step-by-step explanation:
Kilo stands for 10³ or 1000. So, a kilogram means one thousand grams. This means that if you ever want to get back to grams from kilograms, all you need to do is multiply the number of kilograms by 1,000.
Number of grams = Number of kilograms x 1000
g = 1000K