To simplify x^2-3 =5x
You would first subtract 5x from both sides
X^3-5x-3
Next you would plug this into the quadratic equation:
X=5+/- the square root of: -5^2 -4(1)(-3)/2(1)
Then simplify,
5+/- the squareroot of 24 + 12 / 2
5+/- The squareroot of 36 /2
5+/- 6 / 2
Then solve if it’s an addition or subtract
5+6/2
X=11/2 or 5 1/2
5-6/2
X= -1/2
The answer is x=-1/2 or x=11/2
Hope this helps
Answer:
A) True , B) True , C) False
Step-by-step explanation:
A) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.
B) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.
C) False : Null Hypothesis can be accepted, despite of being actually false. This is called Type 2 Error.
We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.
∠WYX and ∠WYZ are complementary.
We know, sum of complementary angles is = 90°.
So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.
m∠WYX + m∠WYZ = 90°.
Plugging values of ∠WYX and ∠WYZ in the above equation, we get
(2x−1)° + (4x+1)° = 90°.
Removing parentheses from both sides,
2x-1 + 4x+1 =90.
Combining like terms,
2x+4x= 6x and -1+1 =0
6x +0 =90.
6x=90.
Dividing both sides by 6.
6x/6 =90/6
x= 15.
Plugging value of x=15.
m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29
m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.
Therefore, ∠WYX=29° and ∠WYZ=61°.
For this case we have that the area is given by:
A = (w) * (l)
Where,
w: width
l: long
Substituting we have:
66 = (w) * (w + 5)
Rewriting
w ^ 2 + 5w - 66 = 0
(w + 11) * (w-6) = 0
Using the positive root we have:
w = 6
Answer:
the width of the frame is:
w = 6 cm
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