Answer:
1=a4+3
Step 1: Subtract a^4+3 from both sides.
1−(a4+3)=a4+3−(a4+3)
−a4−2=0
Step 2: Add 2 to both sides.
−a4−2+2=0+2
−a4=2
Step 3: Divide both sides by -1.
−a4
−1
=
2
−1
a4=−2
Step 4: Take root.
a=±(−2)(
1
4
)
Answer:
No real solutions.
Answer:
Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.
Step-by-step explanation:
Take a number, x.
Now increase it by 5%.
1.05x
Now increase it by 20%.
1.2 * 1.05x = 1.26x
1.26x = 126% of x = 100% of x + 26% of x
100% of x is the same as x, so it is the same as the original x.
The increase is 26% of the original number.
Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.
Answer: 283
Step-by-step explanation:
To find the median, you have to first arrange the figures in the distribution in ascending order:
210, 249, 316, 443
As this is an even distribution, the Median will be found by adding up the second and third numbers and then dividing by 2:
= (249 + 316) / 2
= 283
The numbers inside the brackets determine which point lies on the line.
The general formula is
y - h = m(x - k)
The point that lies on the line however is (h,k) both turn to the opposite sign.
So in your case the point is (6,2). I have made a graph to show you that this is true. No other point is possible.
Answer:
25%
Step-by-step explanation:
Let v, t be the current average speed and the time taken to reach the school respectively.
As distance = speed x time, so,
distance, d=vt...(i)
Let V be the new average speed in order to to take 20% less time than t.
So, time taken with speed V = t-20% of t = t- 0.2t= 0.8t
As distance is constant, so
d= V(0.8t)= 0.8Vt
hBy using equation (i), we have
0.8Vt = vt
0.8 V = v
V= v/0.8=1.25v
Therefore, the percentage increase in the average speed = 

=25%
Hence, the percentage increase in the average speed is 25%.