Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
Step-by-step explanation:
As
- The graph of the function passes through the point (2,1), and
- y increases by 4 when x increases by 1.
so
x y
2 1
3 5
4 9
5 13
6 17
and so on
From the table:
As the slope-intercept form of the line is
putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.
So putting and in the slope-intercept form of the line
Therefore, the equation for the linear function will be:
3 goes 1, 4 goes 2, 1 goes 3 and 2 goes last
Answer:
Range: [-5, 0]
General Formulas and Concepts:
<u>Algebra I</u>
- Range is the set of y-values that are outputted by function f(x)
Step-by-step explanation:
According to the graph, the line's y-values span from -5 to 0. Since both are closed dot, they are inclusive in the range:
[-5, 0] or -5 ≤ y ≤ 0
Binomial formula is :
= 495 * 0.0256 * 0.0167961 =
= 0.21284 ≈ 0.213
Answer:
C ) 0.213
