Answer:
3
Step-by-step explanation:
because its is like subtacting
You can tell if it has direct variation by finding the slope and inserting it and the coordinates into point slope form.
You can find the slope by putting both sets of coordinates into the equation
y - y / x -x , where the first y and x are from one set of coordinates, and the next two are from the other set.
(7.5 - 3) / (11.25 - 4.5)
4.5 / 6.75
The slope is 2/3
Next, input the slope and the origin (0,0) into point-slope form.
y - y = m (x - x) Substitute.
y - 3 = 2/3 (x - 4.5) Distributive Property.
y - 3 = 2/3x - 8/15 Add 3 to both sides.
y = 2/3x + 37/15 Simplify.
y = 2/3x + 2 2/15
So you know that the line does not go through origin, because its y-intercept is 2 2/15.
For the second one do the same things.
y -y / x - x
(3 - 1.5) / (12 - 8)
1.5 / 4
3/8
y - y = m ( x - x )
y - 3 = 3/8 (x - 12)
y - 3 = 3/8x - 24/8
y = 3/8x - 0
y = 3/8x
So the second one goes through the origin because its y-intercept is 0. The answer is Table 2 has direct variation.
Answer:
I(20) is 600 dollars
Step-by-step explanation:
From the given function, I(p) = p(50 - p)
Where I is the income in dollars and p is price dollars.
To determine I(20), that is, to determine the income in dollars when the ticket price is 20 dollars.
From
I(p) = p(50 - p)
When p = 20
Then,
I(20) = 20(50 - 20)
I(20) = 20(30)
I(20) = 20 × 30
I(20) = 600
Hence, I(20) is 600 dollars
That is, the income is 600 dollars when the ticket price is 20 dollars.
The next number 12, so it is like it is adding by 8 for the last number
ANSWER
The solution is
x=-3,y=-2
EXPLANATION
First equation
3x – 3y = –3
Second Equation:
5x – y = –13
Multiply the second equation by 3 to get:
Third equation:
15x-3y=-39
Subtract the first equation from the third equation:
Divide both sides by 12,
Put x=-3 into the first equation:
Group like terms,
The solution is
x=-3,y=-2
