Answer:
17 with the remainder of 25
Step-by-step explanation:
Answer:
y = 3x + 5
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define variables</u>
Slope <em>m</em> = 3
y-intercept <em>b</em> = 5
<u>Step 2: Write linear equation</u>
y = 3x + 5
Under Daily flat rate, we would have 22 and 0.15x
Under Cost per mile, we would have 0.15
Under Number of Miles Driven, we would have x
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Answer:
x=50
Step-by-step explanation:
A= 30+2x
B= x
Supplementary angles are angles that always add up to 180 degrees.
therefore, A + B=180 degrees
30 + 2x + x = 180: Now we solve
<em>30 + 3x =180 </em>
<em>subtract 30 from both sides</em>
3x=150
<em>divide by 3</em>
3x/3 = 150/3
x= 50
