Answer:
The HCF of 30 and 40 is 10
Expand
6 - 3x + 15 = 5x - 11
Simplify 6 - 3x + 15 to -3x + 21
-3x + 21 = 5x - 11
Add 3x to both sides
21 = 5x - 11 + 3x
Simplify 5x - 11 + 3x to 8x - 11
21 = 8x - 11
Add 11 to both sides
21 + 11 = 8x
Simplify 21 + 11 to 32
32 = 8x
Divide both sides by 8
32/8 = x
Simplify 32/8 to 4
4 = x
Switch sides
<u>x = 4</u>
Use the parenthesis and join it together to make an addition sign. Then plug 48 +12 into a calculator. ANSWER: 60
Answer:
f(x) = -3x
--->#6
f(x) = |x-1|+3
--->#5
f(x) = √(x+3)
--->#3
1/2x²
--->#1
f(x) = (x+1)²-3
--->#4
4|x|--->#2
Step-by-step explanation:
Recall for transformations:
- Adding a number outside the function moves it up
- Subtracting a number outside the function moves it down
- Adding inside the function moves it to the left
- Subtracting inside the function moves it to the right
- Multiplying to the function by a number less than 1 compresses
- Multiplying to a function by a number greater than 1 stretched it
- Multiplying by a negative flips the graph
f(x) = -3x
This is multiplication by a number greater than 1 and a negative so this stretches and flip. This is #6, a reflection.
f(x) = |x-1|+3
Subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. This is #5.
f(x) = √(x+3)
Addition inside the function shifts it to the left 3. This is #3
1/2x²
Multiplication by 1/2 which is less than 1 compresses it. This is #1.
f(x) = (x+1)²-3
Addition inside the function shifts the function to the left once. This is #4.
4|x|
Multiplying by 4, a number greater than 1, stretches it. This is #2.
