<h2><u>Question</u><u>:</u><u>-</u></h2>
solve for x: 3(x + 1) = 2 (x -1)
<h2><u>Solution</u><u>:</u><u>-</u></h2>
- 3(x + 1) = 2 (x -1)
- 3x + 3 = 2x - 2
- 3x -2x = -2 -3
- x = -5
<h2><u>Answer</u><u>:</u><u>-</u></h2>
[Hence, the value of x is -5.]
Answer:
A. Always
Step-by-step explanation:
:)
Answer:
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Step-by-step explanation:
We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.
This means the alternative hypothesis will have an average less than 52. Thus;
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Answer:
25 cm^2
Step-by-step explanation:
Area = (height * base)/2
(5 * 10) / 2 = 25 cm^2
(x+2)/(x-3) is already a rational function with a linear binomial in both the numerator and denominator...
The vertical asymptote occurs when the slope is undefined, in this case when you have division by zero, when x=3. So the vertical asymptote is about the vertical line x=3.
The horizontal asymptote occurs about the horizontal line about the line y=k which f(x) approaches, but does not equal as x approaches ±oo. Which in this case is relatively intuitive, but if you weren't sure, you could divide all terms by the highest power of x, in this case:
(x/x+2/x)/(x/x-3/x) as x approaches oo is
(1+0)/(1-0)=1, so the horizontal asymptote is about the horizontal line y=1
The y-intercept occurs when x=0 so:
f(0) is just 2/-3=-2/3, so the y-intercept is the point (0, -2/3)