Answer:
x=-1
Step-by-step explanation:
f (x)= -x + 8
Let f(x) = 9
9 = -x+8
Subtract 8 from each side
9-8 = -x+8-8
1 = -x
Multiply each side by -1
-1 = x
Answer:
- 3 pounds at $3.87
- 19 pounds at $0.94
Step-by-step explanation:
Let x represent the number of pounds of high-priced jelly beans sold. Then the total revenue was ...
3.87x + 0.94(22 -x) = 29.47
2.93x + 20.68 = 29.47 . . . . . . eliminate parentheses, collect terms
2.93x = 8.79 . . . . . . . . . . . . . . subtract 20.68
x = 3 . . . . . . . . . divide by 2.93
3 pounds of $3.87 jelly beans were sold; 19 pounds of $0.94 jelly beans were sold.
Answer:
Standard form of equation for a hyperbola with horizontal transverse axis:
(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
x-coordinate of center=(9+1)/2=5 (use midpoint formula)
y-coordinate of center=1
center: (5,1)
length of horizontal transverse axis=8 (from 1 to 9)=2a
a=4
a^2=16
..
Foci
2c=9 ( from 1 to 10)
c=4.5
..
c^2=a^2+b^2
b^2=c^2-a^2=20.25-16=4.25
..
Equation of hyperbola:
(x-5)^2/16-(y-1)^2/4.25=1
Answer:
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Step-by-step explanation:
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Answer:
d. 21
Explanation:
Step 1 - Subtract 13 from both sides
x + 13 = 34
x + 13 - 13 = 34 - 13
x = 21