<h3>
Answer: x = 6</h3>
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Work Shown:
![\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\](https://tex.z-dn.net/?f=%5Clog_%7B4%7D%28x%2B10%29%2B%5Clog_%7B4%7D%28x-2%29%3D%5Clog_%7B4%7D%2864%29%5C%5C%5C%5C%5Clog_%7B4%7D%5Cleft%28%28x%2B10%29%28x-2%29%5Cright%29%3D%5Clog_%7B4%7D%2864%29%5C%5C%5C%5C%28x%2B10%29%28x-2%29%3D64%5C%5C%5C%5Cx%5E2-2x%2B10x-20%3D64%5C%5C%5C%5Cx%5E2-2x%2B10x-20-64%3D0%5C%5C%5C%5C)
![x^2+8x-84=0\\\\(x+14)(x-6)=0\\\\x+14=0 \ \text{ or } \ x-6=0\\\\x=-14 \ \text{ or } \ x=6\\\\](https://tex.z-dn.net/?f=x%5E2%2B8x-84%3D0%5C%5C%5C%5C%28x%2B14%29%28x-6%29%3D0%5C%5C%5C%5Cx%2B14%3D0%20%5C%20%5Ctext%7B%20or%20%7D%20%5C%20x-6%3D0%5C%5C%5C%5Cx%3D-14%20%5C%20%5Ctext%7B%20or%20%7D%20%5C%20x%3D6%5C%5C%5C%5C)
Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out
x = 6 works as a solution however
Answer:
B
Step-by-step explanation:
B is the correct answer.
Answer:
8. $35.10
9. $59.63
10. $13.43
11. $70
12. Take the percent you pay (100-the discount) as a decimal and multiply it by the regular price.
Step-by-step explanation:
For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22-78. We use this percent byb multiplying the price with a decimal. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
8. Percent off is 22%. We pay 78%=0.78.
45(0.78)=$35.10
9. Percent off is 33%. We pay 67%=0.67.
89(0.67)=$59.63
10. Percent off is 44%. We pay 56%=0.56.
23.99(0.56)=$13.43
11. Percent off is 75%. We pay 25%=0.25.
279.99(0.25)=$70
12. See explanation above.
Answer:
122.88
Step-by-step explanation:
<u>3072</u>
25
122.88 sorry I forgot how to show all the work I love my calculator but hopefully the answer you need will help.
-2x^2-8 is the answer good luck