Answer:
x =4
Step-by-step explanation:
10x – 3 = 8x + 5
Subtract 8x from each side
10x-8x – 3 = 8x-8x + 5
2x-3 =5
Add 3 to each side
2x-3+3 =5+3
2x= 8
Divide by 2
2x/2 =8/2
x =4
Order of operations rules are important here: n/4-13
We must do the division first. Thus, n/4-13 translates to "the quotient of n and 4, less 13."
Answer:
Step-by-step explanation:
1. The linear equation:
y = m x + b
m = 3
- 2 = 3 · 1 + b
- 2 = 3 + b
b = - 5
Answer: A ) y = 3 x - 5
2. We will solve the system of equations:
12 = - 4 m + b / · ( - 1 )
23 = 7 m + b
----------------------
- 12 = 4 m - b
+
23 = 7 m + b
--------------------
11 = 11 m, m = 1, b = 16
Answer: A ) y = x + 16
Answer:
See below
Step-by-step explanation:
<em>On the graphs we see transformations of exponential functions</em>
<h3>Graphic 1 = Horizontal shift </h3>
- f(x) = 2ˣ is the parent function
- g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
- h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit
<h3>Graphic 2 =Vertical shift</h3>
- p(x) = (1/3)ˣ is the parent function
- r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
- q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units
