A number line is a horizontal line with calibrated interval marks like the one shown in the attached picture. The number line has calibrated marks with an interval of 1 inch. To represent this in a number line, just mark the 10-inch and 15-inch mark.
Solution:
<u>We know that:</u>
- Given equation: 1/4(x - 2) = 3 - (x + 1/6)
<u>Simplify the distributive property.</u>
- 1/4(x - 2) = 3 - (x + 1/6)
- => x/4 - 2/4 = 3 - x - 1/6
<u>Further simplify both sides.</u>
<u>Subtract 17/6 both sides.</u>
- x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x
- => x/4 - 6/12 - 34/12 = -x
- => x/4 - 40/12 = -x
<u>Subtract x/4 both sides.</u>
- x/4 - x/4 - 40/12 = -x - x/4
- => -40/12 = -5x/4
<u>Use cross multiplication.</u>
<u>Divide -60 both sides.</u>
- -160/-60 = -60x/-60
- => x = 160/60 = 2 40/60 = 2 2/3
Given:
The graph of an exponential function.
To find:
The function in the form of 
.
Solution:
The general form of an exponential function is
...(i)
From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.
For x=0 and f(x)=4,
For x=1 and f(x)=7,
Putting a=4, we get
Substitute a=4 and 
in (i).
Therefore, the required exponential function is .
Answer:
No.The answer should be -4.1
Step-by-step explanation:
1+4(3x-10)-12
5(3x-10)-12
15x-50-12
15x-62
x=-62/15
x=-4.1
