On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb
2 answers:
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Answer:
Shift 2 unit left
Flip the graph about y-axis
Stretch horizontally by factor 2
Shift vertically up by 2 units
Step-by-step explanation:
Given:
Parent function:
Transformation function:
Take -2 common from transform function f(x)
Now we see the step-by-step translation
Shift 2 unit left ( x → x+2 )
Flip the graph about y-axis ( (x+2) → - (x+2) )
Stretch horizontally by factor 2 [ -x(x+2) → -2(x+2) ]
Shift vertically up by 2 units [ f(x) → f(x) + 2 ]
Simplify the function:
Hence, Using four step of transformation to get new function
Answer:
a) About 12%
Step-by-step explanation:
We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:
Where:
PV= Present Value
i= interest rate
FV= Future Value
n= number of periods
replacing the data provided:
solving for i:
first, divide both sides by 50.000 to simplify the equation:
Take roots of both sides:
±
solve for i:
±
We get two answers, but we look for a coherent value. So we take the positive one:
≈12
Answer:
<u>Option B</u>
Step-by-step explanation:
The question is as following:
Step Work Justification
1 2x + 6x − 4 = 12
2 8x − 4 = 12
3 8x = 16
4 x = 2
Which of the following has all of the correct justifications Wyatt used to solve this equation?
A. Distributive property. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
C. Distributive property. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality.
D. Multiplication property of equality. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality
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<u>The answer:</u>
Step Work Justification
multiply both sides by 2
1) 2x + 6x − 4 = 12 ⇒ {Multiplication property of equality}
{Combine like terms}
2) 8x − 4 = 12 ⇒
Adding 4 both sides
3) 8x = 16 ⇒ {Addition property of equality}
divide both sides by 8
4) x = 2 ⇒ {Division property of equality}
The answer is option B
(B) Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.