Answer:
Step-by-step explanation:
-2x-14+10x=34
8x-14=34
8x=48
x=6
The y-intercept of the linear function y = 3x - 2 is -2
<h3>How to determine the y-intercept?</h3>
The function is given as
y = 3x - 2
The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)
As a general rule, linear functions are those functions that have constant rates or slopes
Next, we set x to 0, and calculate y to determine the value of the y-intercept
y = 3(0) - 2
Remove the bracket in the above equation
y = 3 * 0 - 2
Evaluate the product of 3 and 0 i.e. multiply 3 and 0
y = 0 - 2
Evaluate the difference of 0 and -2 i.e. subtract 0 from 2
y = -2
The above means that the value of y when x is 0 is -2
Hence, the y-intercept of the linear function y = 3x - 2 is -2
Read more about y-intercept at:
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Because they are congruent sides
Distribute, combine like terms, and boom! Hope this helped! (FOIL method)
Answer: 306
Step-by-step explanation:
Formula to find sample size:
, where 
= standard deviation, E = margin of error, z* = critrical z-value.
As per given,
Critical z-value for 99% confidence = 2.576
Now , the minimum sampl size :
Hence, the required sample size = 306
