Answer:
z=31°
Step-by-step explanation:
32°+117°+z=180°{ sum of angle of triangle}
z=180-149
z=31°
<h2>stay safe healthy and happy.</h2>
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
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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>
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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
Simple...
you have:
1.) -8x-16 --->>>
Factor out a -8 -->>
-8(x+2)
2.)9d+15db --->
Factor out 3d -->
3d(3+5b)
3.) 2a-9ax-->>
Factor out -a -->
-1a(9x-2)
Thus, your answer.
Answer:
The equation of the exponential function represented by the table will be:

Step-by-step explanation:
We know the equation of exponential function such as

Put x=0, and y=2 in the function


Also x=1, and y=8 in the function


Thus,


Therefore, the equation of the exponential function represented by the table will be:
