Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
Answer:
- 5
Step-by-step explanation:
"I am a negative integer greater than -6."
This eliminates any number that is less than -6, as well as any positive number.
0 > x > -6
"I am less than -2."
This narrows down the possible numbers to:
-5, -4, -3.
"I am not equal to -2 + (-1)"
-2 + - 1
-2 - 1
- 3
The number is not '-3'.
"I am not equal to 2 - 6."
2 - 6
- 4
The number is not -4.
Your number should be -5.
Hope this helps.
Answer:
-2
Step-by-step explanation:
1) Look at the y-intercept. The line crosses the y-axis at (0,7)
Follow it down, it goes down two and over one to directly intersect the grid.
Rise over run = 2/1
2/1 = 2
However, the line is negative, as it's sloping down from the left to the right, making the slope -2
Answer:
Explanation:
f ( −
3
) basically means substitute −
3 for x in the function −
5
x
f
(
−
3
)
=
−
5
(
−
3
)
−
7
f
(
−
3
)
=
15
−
7
f
(
−
3
)
=8
Step-by-step explanation:
Answer:
$42.50
Step-by-step explanation:
discount reduces the price of the good
discount value = 15% x 50 = 0.15 x 50 = 7.5
sales price = 50 - 7.5 = 42.50
