Answer: 0.9
Step-by-step explanation:
<u>Let x be the number</u>
<u>Determine the value of the number</u>
x² = 81
√x² = √81
x = 9
<u>Find the 10% of the number</u>
Final number = rate of percentage × original number
Final number = 10% × 9
Final number = 
Hope this helps!! :)
Please let me know if you have any questions
Answer:
1
Step-by-step explanation:
Column A=X the first value for x is 1
Column B has the x value replaced in the equation 5x+8. 5(1) + 8
Column C has the result, y=13
These are the answer that I got:
A. <span>That means: "The more it costs, the fewer people you can invite."
B. <span>Amount you can spend = M; You will have to come up with this number - whatever you think is reasonable.
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C. (C = Cost per person, P = number of people you can invite )
D. You will have two equations. In the first equation, C will be the per-person cost at the first bowling alley. In the second equation, C will be the per-person cost at the second bowling alley.
E. <span>Be sure to think this through. Yes, you will be able to host more guests at the bowling alley with the lowest per-person cost, but is that the only factor you need to consider? What about location? Quality of lanes and bowling equipment? Music? Food? Customer Service? Consider ALL aspects.</span> You might pick the more expensive bowling alley because you feel would have a better experience, or maybe you don't want to invite lots of people anyway.<span>
Hope this helps!</span>
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Firstly expand (x - 3)(ax^2 + bx + c):
ax^3 + bx^2 + cx - 3ax^2 - 3bx - 3c
Now rearrange it so that it's in the form ax^3 + bx^2 + cx + d:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c
Now we can compare both equations:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c = 2x^3 - x^2 - 19x + 12
We get:
(1) a = 2
(2) b - 3a = -1
(3) c - 3b = -19
(4) -3c = 12
If we substitute (1) into (2) we get:
b - 3*2 = -1
b - 6 = -1
b = 5
Now if we solve (4) we get:
-3c = 12
c = -4
Therefor a = 2, b = 5 and c = -4
Answer:
A of the shaded figure is 90cm