Answer:
<h2>P(x) = (x+3)(x-2)^2</h2>
Step-by-step explanation:
Looking at the brackets you can see where the curve will intersect the x-axis.
The graph shows the curve intersecting at (0,-3) and (0,2).
This means:
x = -3
AND
x = 2
Rearrange the equations, equating them to 0.
x + 3 = 0
x - 2 = 0
This will be the values in the brackets.
Because the curve only touches 0,2 and DOES NOT cross it, we know that x - 2 is a repeated root, hence (x-2) is squared.
Therefore your brackets are: (x+3)(x-2)(x-2)
Which can be simplified:
(x+3)(x-2)^2
Where ^2 means squared.
Answer:
Step-by-step explanation:
We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.
The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.
Answer:
Length of the base=10
Width of the base=50
Step-by-step explanation:
Length of the base=80/8=10
Width of the base= 6.25*8=50
The two angles with x in them are the same. Set them equal to each other and solve for x:
4x-5 = 3x + 11
Add 5 to both sides:
4x = 3x +16
Subtract 3x from both sides:
x = 16
Now solve for the angle next to y:
4x - 5 = 4(16) -5 = 64 -5 = 59
Y + 59 make a straight line and equals 180, so subtract 59 from 180 to get y:
y = 180 - 59 = 121
Answers:
X = 16, y = 121
First, you add them all together, and divide them by the number of quantities there are, so:
9+9+8+11+11+12+12+8= <span>80. Then you divide it by 8 (how many numbers there are) to get 10!</span>
