Answer:
C) x≥4 and x ≤ -4
Step-by-step explanation:
| 8x | ≥ 32
To remove the absolute values, we get two equations, one positive and one negative
8x ≥ 32 and 8x ≤ -32
Divide each side by 8
8x/8 ≥ 32/8 and 8x/8 ≤ -32/8
x ≥ 4 and x ≤ -4
Answer:
v = 40 km/h
Step-by-step explanation:
In the picture below
b) –2 – i
c) 2 + i
d) 2 – i
Answer
d) 2 – i
Explanation
f(x) = x³ – 2x²
When x = i, we proceed as follows.
Note: i =
i² =(√-1)(√-1) = -1
i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i
f(x) = x³ – 2x²
f(i) = i³ – 2i²
= -i – 2(-1)
= -i + 2
= 2 – i
Answer:
f(i)=2-i
d is the correct option.
Step-by-step explanation:
The given function is
Substitute x = i, to find f(i)
We can rewrite this as
Now, we know that. Thus, we have
On simplifying, we get
d is the correct option.
a. Find the exact length of c in un-simplified radical form
b. Find the exact length of c in simplified radical form
c. Find c to the nearest hundredth.
A 8 can go into 66 eight times, with a remainder of 2.
To calculate how many times 8 can go into 66, we need to perform long division.
Step 1: Set up the long division:
8 | 66
Step 2: Determine how many times 8 can go into the first digit of 66 (which is 6). It goes 8 times (8 x 8 = 64). Write 8 above the division bar.
8 | 66
8
Step 3: Subtract 64 from 66 to get the remainder. Bring down the next digit (which is 6).
8 | 66
8
---
26
Step 4: Determine how many times 8 can go into 26. It goes 3 times (8 x 3 = 24). Write 3 above the division bar.
8 | 66
8
---
26
24
Step 5: Subtract 24 from 26 to get the remainder. There is no more digit to bring down, so the division is complete.
8 | 66
8
---
26
24
---
2
The final result is 8 times with a remainder of 2. Therefore, 8 can go into 66 eight times, with a remainder of 2.
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Answer:
2
Step-by-step explanation: