Answer:
1.71
Step-by-step explanation:
x/4 = 3/7
4 * 3 = 12
12/7 = 1.714285714285714
Rounded to the nearest hundreths, the answer is 1.71
Answer: -1 < x < 8
x = 3
x ≠ 2
<u>Step-by-step explanation:</u>
Isolate x in the middle. Perform operations to all 3 sides.
-6 < 2x - 4 < 12
<u>+4 </u> <u> +4</u> <u>+4 </u>
-2 < 2x < 16
<u>÷2 </u> <u>÷2 </u> <u> ÷2 </u>
-1 < x < 8
**************************************************************************
Isolate x. Solve each inequality separately. Remember to flip the sign when dividing by a negative.
4x ≤ 12 and -7x ≤ 21
<u>÷4 </u> <u>÷4 </u> <u> ÷-7 </u> <u>÷-7 </u>
x ≤ 3 and x ≥ 3
Since it is an "and" statement, x is the intersection of both inequalities.
When is x ≤ 3 and ≥ 3? <em>when x = 3</em>
****************************************************************************
Isolate x. Solve each inequality separately.
15x > 30 or 18x < -36
<u>÷15 </u> <u> ÷15 </u> <u> ÷18 </u> <u>÷18 </u>
x > 2 or x < 2
Since it is an "or" statement, x is the union of both inequalities.
When we combine the inequalities, x is every value except 2.
x ≠ 2
Answer:
analyzed & sketched
Step-by-step explanation:
We are given the function: y = In(x + 3)
So first we need to take the first derivative to find the interval of increase and decrease, then the second derivative to find the interval of concave up and concave down.
So it is always increasing function, and always concave down function.
Since it is a logarithmic function, x>3.
So, x = 3 is vertical asymptote.
I attached the sketch as a picture.
Answer:b
Step-by-step explanation:
Answer:
n < -33
Step-by-step explanation:
Let n = the number
7(n - 4) ≥ 8n + 5
7n - 28 ≥ 8n + 5
-n ≥ 33
n ≤ -33
