First off, your handwriting needs a bit of help. Do you expect people to read that?
Answer:
C
Step-by-step explanation:
We can first move the variables to one side.
We can do this by subtracting 6x from both sides.
12x^2-6x=0
Now, we can factor out 6x.
6x(2x-1)=0
Since it equals 0, we know that 2x-1=0, or 6x=0.
This is because when ab=0, either a or b must equal 0.
So we can set both of these equal to 0 to solve.
6x=0
Divide both sides by 6.
x=0
2x-1=0
Add 1 to both sides.
2x=1
Divide both sides by 2.
x=1/2
From the graph, the coordinates of the cross that represent this car on the graph are ( 8, 2100).
<h3>What is the correlation coefficient?</h3>
The correlation coefficient is a measure of how similar two datasets are acting.
When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated.
One data increases and other data starts to decrease in the opposite direction.
When the correlation coefficient comes out below 0, values are negatively correlated.
The correlation shown by the graph is negative.
From the graph, the coordinates of the cross that represent this car on the graph are ( 8, 2100).
Learn more about correlation coefficient here:
brainly.com/question/10725272
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Step-by-step explanation (Question 1):
<u>Step 1: (Question 1): Subtract x from both sides.</u>
5x+3=x+13
5x+3−x=x+13−x
4x+3=13
<u>Step 2: (Question 1): Subtract 3 from both sides.</u>
4x+3−3=13−3
4x=10
<u>Step 3: (Question 1): Divide both sides by 4.</u>
4x/4 = 10/4
FIRST ANSWER: x = 5/2
Step-by-step explanation (Question 2):
<u>Step 1: (Question 2): Multiply by LCM</u>
15x^2 - 6 = x
<u>Step 2: (Question 2): Solve 15x^2</u>
15x^2 - 6 = x:
x = 2/3
x = -3/5
<u>Step 3: (Question 2): Solve</u>
ANSWER: x=0.666667 or x=−0.6
See Attachment 1 for question 1 steps (FULL)
See Attachment 2 for question 2 steps (FULL)
Answer:
1) x = 5/2
2) x=0.666667 or x=−0.6
Hope this helps.
For this, we have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years
Formula: A= P * ( 1+r)^t
A= $41,000
r=0.023
t= 17
<span>41,000= P * (1+0.023)^17
</span>41,000= P * (1.023)^17
41,000= P * 1.4719
P= 41,000 : 1.4719
P= $27,731.59
Therefore, the answer is C. $27,731.59
I checked by doing the opposite, and I got $41,000.01, which is the closest to the question<span>
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