Answer:
Step-by-step explanation:
2
x
2
+
5
x
+
3
=
(
x
+
1
)
(
2
x
+
3
)
Explanation:
2
x
2
+
5
x
+
3
=
2
x
2
+
2
x
+
3
x
+
3
=
2
x
(
x
+
1
)
+
3
(
x
+
1
)
=
(
x
+
1
)
(
2
x
+
3
)
[Ans]
First Question
circumference = pi * diameter
diameter = circumference/pi = 94.2 in./3.14 = 30 in.
The wheels have a 30-inch diameter.
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Second question
The area of a circle: area = pi * r^2
radius = diameter/2 = 94.2 in./2 = 47.1 in.
area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2
Answer: 6966 in.^2
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Third question
The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.
4 * 94.2 in. = 376.8 in.
Answer: 376.8 in.
This equation is telling you to subtract the value of f(x) from the value of g(x).
f(x)= x + 2
g(x) = 3x + 5
so x + 2 - 3x -5 = -2x-3
The figure depicting the board game is attached below.
Answer:
Step-by-step explanation:
Kindly note that selections done without replacement.
Count of numbers on the board game = 8
Count of odd numbers = (1, 9, 1) = 3
Count of digit 6 = 3
Probability = required outcome / Total possible outcomes
P(picking an odd number) = 3 / 8
Without replacement
Numbers left on board game = 8 - 1 = 7
P(picking a 6) = 3 / 7
Hence,
P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56
Answer:
the middle number
Step-by-step explanation:
