Answer:
Given
f
(
x
)
=
4
⋅
7
x
For
x
=
−
1
we have
f
(
−
1
)
=
4
⋅
7
−
1
=
4
7
using
a
−
n
=
1
a
n
For x=2, we have
f
(
2
)
=
4
⋅
7
2
=
196
Step-by-step explanation:
Answer:
a = 0.25
Step-by-step explanation:
Our strategy to solve this problem will be to use the information given in the table to obtain first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations and solve for the coefficients a and b as follow:
from x=0 and y=-3 a*0 + b* 0 + c = - 3
c = -3
from x=1 and y= -3.75
a*(1) + *(1) + (-3) = -3.75
a + b = -3.75 + 3 = -0.75
from x= 2 and y = -4
a* (2)^2 + b*(2) + (-3) = -4
4a + 2b = -4 +1
4a + 2b = -1
Now we can solve the system f equations by elimination:
a + b = -0.75
4a + 2b = -1
multiply first equation by -2 and add to the second and get
-2a - 2b = +1.50
4a + 2b = -1
2a = 0.50 and substituting into any of the equations get b = -1
so the quadratic equation has a= 0.25 b= -1 c= -3
we can even plug the any of the other values for x given in the table and check the answer.
Answer:
y = -1000x +11000
Step-by-step explanation:
<u>Given:</u>
(x, y) = (sales price, number sold) = (3, 8000), (6, 5000)
<u>Find</u>:
slope-intercept equation for a line through these points
<u>Solution</u>:
When given two points, it often works well to start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
Filling in the given points, you have ...
y = (5000 -8000)/(6 -3)/(x -3) +8000
y = (-3000/3)(x -3) +8000
y = -1000x +3000 +8000 . . . . eliminate parentheses
y = -1000x +11000 . . . . the desired equation
Divide 100 by .60 the equation will be 100=.60 x and the answer is 167
