4x - 6y = 12...in y = mx + b form, the slope will be in the m position. So lets turn this equation into y = mx + b form.
4x - 6y = 12....subtract 4x from both sides
-6y = -4x + 12...now divide both sides by -6
y = (-4/-6)x + 12/-6
y = 2/3x - 2...y = mx + b.....slope(m) = 2/3 <==
1. 5x - 7 = 48
5x = 48 + 7 = 55
x = 55/5 = 11
2. 7n - 2 = 54
7n = 54 + 2 = 56
n = 56 / 7 = 8
3. -4y + 7 = -21
-4y = -21 - 7 = -28
y = -28 / -4 = 7
4. x/2 + 5 = 12
x/2 = 12 - 5 = 7
x = 7 * 2 = 14
5. x/3 - 7 = 13
x/3 = 13 + 7 = 20
x = 20 * 3 = 60
6. -7 - 2 = 33 <- did you type this wrong?
-7x - 2 = 33
-7x = 33 + 2
-7x = 35
x = 5
7. -3x - 8 = -41
-3x = -41 + 8 = -33
x = -33 / -3 = 11
8. 3n - 7 = 35
3n = 35 + 7 = 42
n = 42 / 3 = 14
9. 7y + 9 = -47
7y = -47 - 9 = -56
y = -56 / 7 = -8
10. -8x + 4 = 68
-8x = 68 - 4 = 64
x = 64 / -8 = -8
11. 4n - 7 = -43
4n = -43 + 7 = -36
n = -36 / 4 = -9
12. 5x - 7 = 108
5x = 108 + 7 = 115
x = 115 / 5 = 23
13. 8 - 5w = -37
-5w = -37 - 8 = -45
w = -45 / -5 = 9
14. 42 = 18 + 4n
4n = 42 - 18 = 24
n = 24 / 4 = 6
15. 70 - 6x = 40
-6x = 40 - 70 = -30
x = -30 / -6 = 5
The answer is D because Sine and cosine equals 90.
Answer:
x ≤ – 3 or x ≥ 9.
Step-by-step explanation:
Given : 9x ≤ –27 or 4x ≥ 36.
To find : Solve the compound inequality.
Solution : We have given 9x ≤ –27 or 4x ≥ 36.
For 9x ≤ –27 .
On dividing both sides by 9.
x ≤ – 3.
For , 4x ≥ 36.
On dividing both sides by 4.
x ≥ 9.
We can write x ≤ – 3 or x ≥ 9.
Therefore, x ≤ – 3 or x ≥ 9.
Answer:
A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85.
Step-by-step explanation: