Answer:
y = -0.83x - 2
Step-by-step explanation:
Slope intercept form is y = mx+b.
M is the slope: In this case the slope (rise/run) is 10/12. However, the slope is decreasing is that would make it negative.
Now we have: y = -0.83x + b
B represents the y-intercept. The y-intercept here is -2. So our final equation is:
y = -0.83x - 2
9. 9.37, 9.3, 9.219, 9.129
10. 0.101, 0.100, 0.012, 0.001
11. 5.312, 5.231, 5.132, 5.123
12. 62.950, 62.905, 62.833, 62.383
Hope it helps
Answer:
1. -8,
2. 58
3. 0
4.
5. -14/8 or -1.75
Explanation:
1. You just plug in 8 for x into the g(x) equation
So, -(8)^2+7(8)= -8
2. You do the same thing you did for number one.
Plug in 13 for the h(x) equation
|2-4(13)|= 50
Then plug in -1 for the f(x) equation
-(-1)^2+7(-1)= -8
You then do as it says- subtract h(x) from f(x)
Which is 50-(-8) and you get 58.
(That subtraction sign turns into addition/ 2 negatives make a positive)
3. Same thing again.
Plug in what they gave you (3y-1) for X
8(3y-1)-9
You get 24y-17
You then subtract off the -17 and get 24y=17
Divide the 24 off and get y=17/24
Plug the Y back into the equation
8(3(17/24)-1)-9 and you get 0
*Im not a hundred percent sure I did this one right*
4. This is the same as number 3. Didn’t have time to solve this, but it’s the same steps as number 3 :)
5. This time they didn’t give you x so you set it up differently
Now you set the f(x) equation equal to -23
8x-9=-23
Add off the to the 23 to isolate the variable
8x= -14
Divide off the 8
X= -14/8 or -1.75
Answer:
Therefore the coordinates of the point on the directed line segment from (-2, 9) to (-1, -4) that partitions the segment into a ratio of 2 to 3 is
Step-by-step explanation:
Given:
Let point P divides Segment AB in the ratio 2 : 3
point A( x₁ , y₁) ≡ ( -2 , 9 )
point B( x₂ , y₂) ≡ ( -1 , -4 )
m : n = 2 : 3
To Find:
P( x, y ) = ?
Solution:
Ia a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as
Substituting the values we get
Therefore the coordinates of the point on the directed line segment from (-2, 9) to (-1, -4) that partitions the segment into a ratio of 2 to 3 is
Let x=number
14-5x=3x
5x to other side
14=8x
Divide 8
14/8=x
1 6/8=x
1 3/4=x
1.75=x
