Answer:
Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.
y=5/4x+9/4
Step-by-step explanation:
Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.
To calculate the equation of the line, use the y=mx+b format.
Slope is equal to the change in y over the change in x , or rise over run.
m=(change in y)/(change in x)
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=(y2−y1)/(x2−x1)
Substitute in the values of x and y into the equation to find the slope.
m=1−(6)/−1−(3)
Finding the slope m.
m=5/4
Find the value of b
using the formula for the equation of a line.
b=9/4
The lowest (or least) common denominator also written as LCD is the smallest of all the possible common denominators, where t<span>he </span>denominator<span> is the bottom number in a fraction.
</span>We should find the lowest common denominator of (p+3)/(p^2+7p+10) and <span>(p+5)/(p^2+5p+6).
</span><span>p^2+7p+10 can be written as a product: (p+5)(p+2)
</span>p^2+5p+6 <span>can be written as a product: (p+3)(p+2)
</span>So, we should find the LCD for (p+5)(p+2) and (p+3)(p+2). The smallest possible number that can be divided with both of them is:<span>(p + 5)(p + 2)(p + 3)
Solution C.</span>
Answer:
Step-by-step explanation:
Information given
represent the sample mean for the sample
population mean (variable of interest)
s=4.9 represent the sample standard deviation
n=8 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
the degrees of freedom are given by:
Since the Confidence is 0.95 or 95%, the value of 
and 
, and the critical value for this cae would be 
Now we have everything in order to replace into formula (1):
Answer:
Step-by-step explanation:
Work backwards with synthetic division with remainder 0 and then solve for a:
-3 | 2 a 19 3
_________
2 | 0
-3 | 2 a 19 3
_______<u> -3</u>
2 | 0
-3 | 2 a 19 3
_______<u> -3</u>
2 1 | 0
-3 | 2 a 19 3
_____<u>-18 -3</u>
2 1 | 0
-3 | 2 a 19 3
_____<u> -18 -3</u>
2 6 1 | 0
-3 | 2 a 19 3
_____<u> -18 -3</u>
2 6 1 | 0
-3 | 2 a 19 3
____<u>-6 -18 -3</u>
2 6 1 | 0
a - 6 = 6
a = 12
Answer:
74.24 cm^2
Step-by-step explanation:
8 * 9.28 = 74.24 cm^2
