That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
A statement which best describes the strength of the correlation, and the causation between the variables is that: D. it is a strong positive correlation, and it is likely causal.
<h3>What is a positive correlation?</h3>
A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.
This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Hence, when one variable increases, the other increases as well, and vice-versa.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can infer and logically deduce that the value on the y-axis (circumference) increases as the value on the x-axis (radius) increases, so this is a strong positive correlation.
Also, we know that there exist a direct relationship between the circumference of a circle and its radius, so this relationship is most likely causal.
In conclusion, a statement which best describes the strength of the correlation, and the causation between the variables is that it's a strong positive correlation, and it is likely causal.
Read more on positive correlation here: brainly.com/question/10644261
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Answer:
PI is the the area around the circumfrance. It is equal to 3.14.
Since there are 6 possibilities, the probability of rolling either an X or V is:
2/6 or simplified 1/3 So, B. 1/3 is the correct answer!
Answer:
3,2
Step-by-step explanation:
18,12
18/6 = 3
12/6 = 2
so
3,2
srry its timed so i tried to be quick