By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
<h3>
So, the solution is x = 1 and y = 4 {or: (1, 4)}</h3>
To subtract fractions, we need a common denominator.
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the common denominator will be (y-2)(y+3)
The answer above will be the simplified form.
Here we are required to rewrite the equation ax-by=c, where a,b,c>0 In the slope-intercept form.
The slope-intercept form of ax-by=c is ;
y = (a/b)x - (c/b).
There a no. of ways to write the equation of a line; however, the most popular of these ways is the slope-intercept form.
- The slope-intercept form usually takes the form ; y = mx + c.
Therefore, the equation ax-by=c can be rewritten thus;
- ax - c = by
- By divIDing both sides of the equation by b, we have ;
- (a/b)x - (c/b) = y
Consequently, the slope-intercept form of ax-by=c is ;
- y = (a/b)x - (c/b).
- where , (a/b) is the slope(m)
- and (-c/b) is the intercept(c).
Read more:
brainly.com/question/12184348
The answer is 1,632. You multiply 16 by 17 then by 12 to get 3,264. But since it is a triangle, which is half of a rectangle, you divide by 2, and you get 1,632. Hope this helps!
Aye Sir!
Answer:
D) P-045 says that a response this small or smaller would be seen in sample data almost half the time when in fact there is no effect in the entire population of rats. That is, a response this size would often happen just by chance.
Step-by-step explanation:
The P-value represents the probability of getting the test sample results given that the null hypothesis is true.
A P-value that is low enough (smaller than the significance level) gives statistical evidence to support that the null hypothesis is not true.
In this case, a P-value of 0.45 does not represent a strong evidence against the null hypothesis, as there is 45% of chances of getting this sample results if the null hypothesis is true.
In this case, as we talk about differences ("no difference was seen" between the two groups), we know that the sample difference has not been large enough to be proved statistically significant.
So the right answer is Option d).
