Answer:
(2,4)
Step-by-step explanation:
Answer:
Part A) x = -3
Part B) x = 1, x = -7
Part C) x < -7
Part D) 2
Step-by-step explanation:
<h3>Part A)</h3>
2(x - 3) = 3x - 3
<em>open the parenthesis</em>
2 * x - 2 * 3 = 3x - 3
2x - 6 = 3x - 3
<em>subtract 2x from both sides</em>
2x - 2x - 6 = 3x - 2x - 3
-6 = x - 3
<em>add 3 to both sides</em>
-6 + 3 = x
-3 = x
<h3>
Part B)</h3>
|2x + 6| = 8
<em>split this into two equations:</em>
<em>2x + 6 = 8</em>
<em>&</em>
<em>2x + 6 = -8</em>
2x + 6 = 8
2x = 8-6
2x = 2
x = 1
2x + 6 = -8
2x = -8 - 6
2x = -14
x = -7
<h3>Part C)</h3>
-5(x + 1) > 30
<em>open the parenthesis</em>
-5x - 5 > 30
<em>add 5 to both sides</em>
-5x > 35
<em>divide both sides by -5</em>
x > -7
<em>since you divided by a negative, flip the sign.</em>
x < -7
<h3>
Part D)</h3>
f(x) = 4x - 3
<em>substitute x for 5</em>
5 = 4x - 3
5 + 3 = 4x
8 = 4x
2 = x
Answer:
a) 96 = 3.57√h
b) h ≈ 723.11 m
Step-by-step explanation:
<h3>a)</h3>
The equation you want to solve is the model with the given values filled in.
D(h) = 3.57√h . . . . model
96 = 3.57√h . . . . . equation for seeing 96 km to the horizon
__
<h3>b)</h3>
We solve this equation by dividing by the coefficient of the root, then squaring both sides.
96/3.57 = √h
h ≈ 26.891² ≈ 723.11 . . . . meters above sea level
Dustin would need to have an elevation of 723.11 meters above sea level to see 96 km to the horizon.
Answer:
Step-by-step explanation:
Given data :
Sample standard deviation, s = 15
Sample mean, 
n = 23
a). 98% confidence interval
∴ 
So, 98% CI is
To convert this equation into slope intercept form simply distribute the number of -2 and put it in
Y = mx + b form
Y + 4 = -2(X-1)
Y + 4 = -2x + 2
Y = -2X + 2 - 4
Y = -2X - 2
I believe this is the solution in slope intercept form.
