Answer:
Question 3
C.
Question 4
D.
Step-by-step explanation:
Question 3:
Equation of line in point slope form is given as:
Plug m = 1/2, in the above equation, we find:
This is the required equation of the line.
Question 4:
Plug m = 3, in the above equation, we find:
D
Find (f + g)(x) then evaluate (f + g)(9)
(f + g)(x) = f(x) + g(x)
= 4x - 1 + x² - 2 = x² + 4x - 3
Now substitute x = 9 into the expression
(f + g)(9) = 9² + 4(9) - 3 = 81 + 36 - 3 = 114 → D
43. P, U
44. 7
53. Airplanes can be traveling on different planes, one plane above the other. Cars on the same intersection are on the same plane.
55
a. You can choose (4 * 3 * 2)/(3 * 2) = 4 groups of 3 points in which order does not matter.
One of those combinations does not have K, so 3 combinations of the 4 have K.
p = 3/4
b. p = 1 since any three points are always coplanar.
<u>30 gallons solution 4% and 10 gallons solution 8%</u>
<em><u>4x+8y=40•5 and x+y=40</u></em>
x=40-y
4(40-y)+8y=200
160-4y+8y=200
4y=200-160
4y=40 => y=10 (gallons solution 8%)
=> x=40-10=30 (gallons solution 4%)
30 gallons solution 4% and 10 gallons solution 8%
the greatest common factor is 3
375: 1, 3, 5,11, 15, 25, 75, 125, 375
66: 1, 2, 3, 6, 11, 22, 33, 66
333: 1, 3, 9, 37, 111, 333