Answer:
x=-3, x=1, x=3.5, and x=5
Step-by-step explanation:
Given the critical points (turning points) which represent the maximum or the minimum points, the set of points that can be tested to solve the inequality will consist of points to the right and to the left of these points. The set of points that solve the inequality will be simply the points where the graph of the function crosses the x-axis. From these information, the set of points will be as given above
The area of the circle A and B is 86.54 inches and 124.62 mm
According to the statement
we have given that the radius of the circle A and b and we have to find the area of the given circle.
So, we know that the
The area enclosed by a circle of radius r is πr².
So, For area of the circle
For condition A :
diameter = 10.5 inches
then radius = 5.25
Area = πr²
Area = 3.14*27.56
Area = 86.54 inches
Now, For condition B :
radius = 6.3 mm
Area = πr²
Area = 3.14*39.69
Area = 124.62mm
So, The area of the circle A and B is 86.54 inches and 124.62 mm
Learn more about area of the circle here
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Answer: $88.00 per week
Step-by-step explanation: 10% of 22 is 2.2. 22 + 2.2 = 24.20 per hour
Multiply 24.20x40hours = 968.00
Multiply 22.00x40 hours =880.00
Subtract 968-880=88.00 his new weekly pay minus his old weekly pay
Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: 
= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
Answer:
3
Step-by-step explanation:
-2 + 40x + 62 = 180 They are same side interior angles and add to 180
solve for x
40x + 60 = 180
40x = 120
x=3
