Answer:
see explanation
Step-by-step explanation:
(x - 4)² = 5 ( take square root of both sides )
x - 4 = ±
( add 4 to both sides )
x = 4 ± 
that is
x = 4 -
, x = 4 + 
Answer:
15) <u><em>y= 1/2 + 3.75</em></u>
16) <u><em>y = x</em></u>
Step-by-step explanation:
For #15)
<em>Equation used: y=mx+b ; Slope: y₂ - y₁ / x₂ - x₁</em>
1) First, you need to pick any 2 points on the graph. I'll use (6,3) and (8,4).
2.1) Then you'll use the <em>slope </em>equation to find the slope (m) of your equation.
(y) ~ 4 - 3 = 1
(x) ~ 8 - 6 = 2
Slope= 1/2
3) So from the look of the answers, the y here is 3.75 so you can trust that.
4) The final equation is <u><em>y= 1/2 + 3.75</em></u>
<u><em /></u>
For #16)
Use the same steps as #15. You can still choose whatever points/plots you want. Ima use (5,4) and (6,5).
(y) ~ 4 - 3 = 1
(x) ~ 6 - 5 = 1
slope= 1 or x
Answer: y=x
<em>Your welcome for the answer! <3</em>
Answer:
x=18
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
(1
/2
)x−7 = (1
/3
)x−4 (Distribute)
Step 2: Subtract 1/3x from both sides.
(1
/6)
x−7=−4
Step 3: Add 7 to both sides.
(1
/6
)x=3
Step 4: Multiply both sides by 6.
x=18
For

, we have

So for

to be continuous at

, we require that the limit as

is equal to 4.
Answer:
4(a-1)(a-2)
Step-by-step explanation:
take out 4 (common factor)
4(a^2-3a+2)
then use box method to factor
<u> a -1</u>
a<u> a^2 -a</u>
<u>-</u>2<u> -2a 2</u>
4(a-1)(a-2)