Answer:
Step-by-step explanation:
John's age = w
His brother's age = 2*w = 2w
His sister's age = 16 years
Total age of all siblings = 31
w + 16 + 2w = 31
w + 2w + 16 = 31
Combine like terms
3w + 16 = 31
Subtract 16 from both sides
3w = 31 - 16
3w = 15
w = 15/3
w = 5
His brother's age = 2w
= 2*5
= 10
–12 ÷ 3 • [–8 + (–4)² ∧ 6] + 2
According to PEMDAS, (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction) we need to solve the exponent in the parenthesis first.
-12 ÷ 3 • [-8 + 16 - 6] + 2
-12 ÷ 3 • [-8 + 10 ] +2
-12 ÷ 3 • 2 + 2
-4 • 6 + 2
-24 + 2 = - 22
Hope this helps!
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
