Answer:
-30, 210 and 330 degrees
Step-by-step explanation:
Given the expression Sin x = - 1/2
x = arcsin(-1/2)
x = -30 degrees
Since sin is negative in the third and fourth quadrant
x = 180 + 30
x = 210 degrees
In the fourth quadrant
x = 360 - 30
x = 330
Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees
Answer:
<h2>-25b + 101</h2>
Step-by-step explanation:
Answer:
The cost to rent each chair and each table are $1.5 and $8.75 respectively
Step-by-step explanation:
Let x represent 1 chair
Let y represent 1 table
Therefore
3x + 2y = 22 ------------(1)
5x + 6y = 60 ------------(2)
Multiply (1) by 5 and (2) by 3
15x + 10y = 110 ----------(3)
15x + 18y = 180 ------------(4)
Subtract (3) from (4)
8y = 70
Divide through by 8
y = $8.75
Substitute y = 8.75 in (1)
3x + 2y = 22
3x + 2(8.75) = 22
3x + 17.5 = 22
Collect like terms
3x = 22 - 17.5
3x = 4.5
Divide through by 3
x =$1.5
Answer:
Alrighty so number one is <em>5
z (x + 2y)</em>, and number two is <em>13x + 19y - 34z</em>
<u>Part A</u>
<u />
So, the x-intercepts are 
<u>Part B</u>
The vertex will be a minimum because the coefficient of 
is positive.
The x-coordinate of the vertex is 
Substituting this back into the function, we get 
So, the coordinates of the vertex are 
<u>Part C</u>
Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.
The graph is shown in the attached image.
