Answer:
A unit rate is one in which the numerator of the fraction is compared to a denominator of one unit.
Step-by-step explanation:
hope that works
Answer:
The slope is -3
Step-by-step explanation:
Find 2 points (-2,3) (-1,0) are 2.
Next subtract y 1 by y 2 in this example, 3-0 which equals 3
After that, subtract x 1 and x 2. In this example, -2-(-1) which equals -1.
Now dive y over x. 3/-1 or -3.
So the slope is -3.
Answer:
0.127 kilometers per minute
Step-by-step explanation:
if you can divide the number of miles by the number of minutes: 26.219/128 = 0.205 miles per minute. Next, we can use the proper conversion factor to give the number of kilometers per minute. Since 1 mile = 1.609 km, you can divide 0.205/1.609 to result in 0.127 kilometers per minute
Answer:
x = -2, x = 3 − i√8, and x = 3 + i√8
Step-by-step explanation:
g(x) = x³ − 4x² − x + 22
This is a cubic equation, so it must have either 1 or 3 real roots.
Using rational root theorem, we can check if any of those real roots are rational. Possible rational roots are ±1, ±2, ±11, and ±22.
g(-1) = 18
g(1) = 18
g(-2) = 0
g(2) = 12
g(-11) = 1782
g(11) = 858
g(-22) = -12540
g(22) = 8712
We know -2 is a root. The other two roots are irrational. To find them, we must find the other factor of g(x). We can do this using long division, or we can factor using grouping.
g(x) = x³ − 4x² − 12x + 11x + 22
g(x) = x (x² − 4x − 12) + 11 (x + 2)
g(x) = x (x − 6) (x + 2) + 11 (x + 2)
g(x) = (x (x − 6) + 11) (x + 2)
g(x) = (x² − 6x + 11) (x + 2)
x² − 6x + 11 = 0
Quadratic formula:
x = [ 6 ± √(36 − 4(1)(11)) ] / 2
x = (6 ± 2i√8) / 2
x = 3 ± i√8
The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.
Answer:
1
Step-by-step explanation:
-2m+9=7
-2m=7-9
-2m=-2
m=-2/-2
m=1
-2*1+9=7
-2+9=7
(9-2=7)
m=1