i. 5x ≥ -12 (It can be solved similarly to an equality)
5x/5 ≥ -12/5
x ≥ -12/5
The number line looks along the lines of
<---------l-------------> (filled circle)
-12/5
ii. The smallest integer that satisfies x ≥ -12/5 is -2 because -12/5 = -2.4.
Using the data you gave I made an equation
(x+3+11+9+7+3)/6 = x
(The formula for finding the mean is the sum of observations divided by total no of observations)
And I equated it (refer the picture)
x = 33/5 = 6.6
Hope this helped you!
Answer:
The square root is 1.90
Step-by-step explanation:
Given
Required
Find x
Express 3.6 as 36/10
So, we have:
This gives
Rationalize
Using a calculator
So, we have:
Approximate
The answer to question is 22.50
Answer:
p = ±21
Step-by-step explanation:
Given z1 = p +2i and z2 = 1 – 2i, If |z1/z2| = 13;
|p+2i/1-21| = 13
To get p from the expression above, we need to rationalize the complex function first.
p+2i/1-21 = p+2i/1-2i * 1+2i/1+2i
= p+2pi+2i+4i²/1-4i²
Since i² = -1;
= p+2pi+2i-4/1+4
= p-4+2i(p+1)/5
= p-4/5 + 2(p+1)/5 i
Then we will take the modulus of the resulting expression and equate to the value of 13 to get p
|p+2i/1-21| = √(p-4/5)²+ (2p+2/5)² = 13
(p-4/5)²+ (2p+2/5)² = 13²
(p-4)²+(2p+2)² = 13²*5²
p²-8p+16+4p²+8p+4 = 4225
5p²+20 = 4225
5p² = 4205
p² = 841
p = ±√841
p = ±21
The possible values of p are 21 and -21