6 tulips are red out of 24
I hope this helps you
1/4+3/7
7/7.4+3.4/7.4
7/28+12/28
19/28
f(x) = (x - 4)^2 - 1
g(x) = -(1/4) ( x - 4)^2 + 4
both the x and y values have to be the same. Start with the y values
f(x) = g(x)
(x - 4)^2 - 1 = -(1/4) (x - 4)^2 + 4 Add 1 to both sides.
(x - 4)^2 = -(1/4) (x - 4)^2 + 5 Add 1/4(x - 4)^2 to both sides.
(5/4) (x - 4)^2 = 5 Divide by 5/4 on both sides.
(x - 4)^2 = 5//(5/4)
(x - 4)^2 = (5/1)//5/4 Invert the second fraction and multiply
(x - 4)^2 = 5/1 * 4/5
(x - 4)^2 = 4 The 5s cancel
(x - 4)^2 = 4 Take the square root of both sides.
(x - 4) = +/- 2 Add 4 to each answer. Start with +2 on the right.
x - 4 + 4 = 2 + 4
x = 4 + 2 = 6
The x value that makes f(x)- g(x) = 0 is x = 6 The point is (6,3) answer.
Answer C.
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You do not need this next part. It is just for completeness.
x - 4 = - 2
x = 4 -2
x = 2
What are the y values for these 2 x values?
y = (x - 4)^2 - 1
y = (6 - 4)^2 - 1
y = 4 - 1
y = 3
The point where f(x) - g(x) = 0 is (6,3) <<<<<< Answer 1
The second point is
y = (x - 4)^2 - 1
y = (2 - 4)^2 - 1
y = (-2)^2 - 1
y = 4 - 1
y = 3
The second point is (2,3). Answer 2
Note the y values are the same. You might expect that.
(3,6) (5,3)
(x1,y1)(x2,y2)
The slope equation is: y2-y1
---------
x2-x1
Replace with numbers: 3-6/5-3
Minus 3 and 6 is equal to -3
Minus 5-3 is 2
So the fraction is -3/2 (no need to divide because you can't simplify it)
So the slope is -3/2
For the equation you have to replace the letters by 0's
3×0-2y=6
Times 3 and 0
0-2y=6
Now you want to get the y alone, so minus 0 from both sides
0-2y=6
-0 -0
-2y=6
Divide -2y from the 6
-2y=6
---- ---
-2 -2
y=3
The y intercept is 3 with the slope of -3/2
Answer:
y=3x
Step-by-step explanation:
For a line to be proportional it must have the form y=mx where the y-intercept is (0,0) through the origin. To change y=3x+7 to be proportional, write it as y=3x.
