Answer: x1 = 5
x2 = 1
Step-by-step explanation:
1. Identify the coefficients
2. Move the constant to the right side of the equation and combine
3. Complete the square
4. Solve for x
Given is <span>(x - 4⁸)
</span>Her factors are <span>(x² - 4²)² (x² + 4²)
</span>Let us prove whether her solution is correct or not.
<span>
(x² - 4²)² (x² + 4²)</span>
(x⁴ - 4⁴) (x² + 4²) ; Follow PEMDAS rule as well as exponential multiplication rule which tells that when exponents are multiplied, the exponents will be added.
By using FOIL(First, Outside, Inside, Last) Method, we can prove if Angelina's solution is correct. NOTE: Do not disregard the positive or negative.
(<u>x⁴</u> - 4⁴) (<u>x²</u> + 4²) ; For the First, multiply the first terms. They are underlined.
This gives you a partial answer: x⁶ (Exponential Law of Multiplication is applied)
(<u>x⁴</u> - 4⁴) (x² <u>+ 4²</u>) ; For the Outside, multiply the outside terms. They are underlined. This gives you an additional to the partial answer: x⁶ + 4²x⁴
<span>(x⁴ <u>- 4⁴</u>) (<u>x²</u> + 4²) ; For the Inside, multiply the inside terms. They are underlined. This gives you an additional to the partial answer: </span>x⁶ + 4²x⁴ - 4⁴x²
(x⁴ <u>- 4⁴</u>) (x² <u>+ 4²</u>) ; For the Last, multiply the last terms. They are underlined. This will give you an additional to the final answer: x⁶ + 4²x⁴ - 4⁴x² - 16⁶ = 0
Final Answer in complete sentence:
The result of multiplying the factors is x⁶ + 4²x⁴ - 4⁴x² - 16⁶ = 0 and is too far compared to (x - 4⁸) which is already a factor.
So you have 318/2580 (since the top is the amount of money they use for food and the bottom is the total). You will want to divide it into 2 so 318/2 and 2580/2. Then you will get 159/1290. The divide 159/1290 with 3. So you will get 52/430. It may seem that you will need to divide 430 with 52 now. Once you get that, you will get the decimal 0.123255814. (I used a calculator). Then Move the decimal twice to the right to make that whole percentage. You will get 12 as you whole number (Ignoring the fact you have 3255814 as your remaining.). So the answer for that is….
12%!!
Answer:
p = 5
Step-by-step explanation:
hopefully it is clear and understandable :)
Answer: 1.013
Step-by-step explanation:
Given the following data :
X_______f___fx___fx²
1_______15__15___15
2______30__60__120
3______28__84__252
4______10__40___160
______ 83__199__547
Number that is 1.5 standard deviations below the mean :
Mean(m) :
Σfx /Σf
(15 + 30 + 28 + 10) / 83
= 199 / 83
= 2.3976
Standard deviation(s) :
Sqrt[(Σfx² - (Σfx)²/Σf) /Σf-1]
sqrt[(547 - (199)²/83) / 83 - 1]
sqrt[(547 - (39601/83) / 82]
sqrt[(547 - 477.12) / 82]
sqrt(0.8522)
Standard deviation = 0.9231
1.5 standard deviations below the mean:
Mean - 1.5(standard deviation)
2.3976 - 1.5(0.9231)
2.3976 -1.38465
= 1.01295
= 1.013
