<h3>
Answer: x ≤ 2 or x ≥ 6</h3>
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Work Shown:
|3x-12| ≥ 6
3x-12 ≥ 6 or 3x-12 ≤ -6 ..... see note below
3x ≥ 6+12 or 3x ≤ -6+12
3x ≥ 18 or 3x ≤ -6+12
3x ≥ 18 or 3x ≤ 6
x ≥ 18/3 or x ≤ 6/3
x ≥ 6 or x ≤ 2
x ≤ 2 or x ≥ 6
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Note: if |A| ≥ B, then A ≥ B or A ≤ -B where B is some positive number.
Example: |x| ≥ 5 means either x ≥ 5 or x ≤ - 5
Answer:
Step-by-step explanation:
It is given that triangle ACB is the preimage and triangle DFE is the image.
We need to find the scale factor of the dilation.
In the given triangles, side AC and DF are corresponding sides.
Therefore, the scale factor of the dilation is .
Answer: (1,3)
Explanation:
<h3>
Answer: a) Equation y= 20+ 1.50n.</h3><h3>b) Melia have $644 to spend on her 18th birthday.</h3>
Step-by-step explanation: We are given that Melia put $20 initially in piggy bank.
Each week amount added in piggy bank = $1.50.
Let us assume total number of weeks be n Melia added amount in piggy bank and get y amount after n weeks.
a) Therefore, total amount after n weeks = Initial amount + 1.50 times n weeks.
y= 20+ 1.50n.
b) On 18th birthday, there would be total 8 years after 10th birthday.
And in 8 years there would be 52 × 8 = 416 weeks.
So, in order to find the total amount after 8 years or 416 weeks, we need to plug n= 416 in the equation we got in a part.
Therefore,
y = 20+ 1.50(416)
y = 20 + 624 = 644.
<h3>Therefore, Melia have $644 to spend on her 18th birthday.</h3>
