Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.x≈−0.00413995,1.6090059
Step-by-step explanation:
40% helping customers + 13% doing paper work = 53% of his time.
This means 100% - 53% = 47% of his time he is doing other tasks.
The binomial (2 · x + y)⁷ in expanded form by 128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷.
<h3>How to expand the power of a binomial</h3>
Herein we have the seventh power of a binomial, whose expanded form can be found by using the binomial theorem and Pascal's triangle. Hence, we find the following expression for the expanded form:
(2 · x + y)⁷
(2 · x)⁷ + 7 · (2 · x)⁶ · y + 21 · (2 · x)⁵ · y² + 35 · (2 · x)⁴ · y³ + 35 · (2 · x)³ · y⁴ + 21 · (2 · x)² · y⁵ + 7 · (2 · x) · y⁶ + y⁷
128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷
Then, the binomial (2 · x + y)⁷ in expanded form by 128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷.
To learn more on binomials: brainly.com/question/12249986
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<h3>Solution :-</h3>
➩ 70 = 12 + 9x - 2 ( x + 6 )
➩ 70 = 12 + 9x - 2x - 12
➩ 70 = 0 + 7x
➩ 70 = 7x
Here we can use 2 methods
Methods :-
- Trial and error method :- By adding,subtracting , multiplying or dividing the same variable or constant on LHS & RHS
- Transposing :- by transposing a term from LHS to RHS or RHS to LHS
• Trial and error
By dividing with 7 on both sides
➩ 70/7 = 7x/7
➩ x = 10
• Transposing
By transposing 7 from RHS. to LHS
➩ 70/7 = x
➩ x = 10
Hence , x = 10
Answer:
48 °
Step-by-step explanation:
The following data were obtained from the question:
Adjacent = 12 cm
Hypothenus = 18 cm
Angle R =?
We can obtain angle R by using cosine ratio. This can be obtained as follow:
Cos R = Adjacent / Hypothenus
Cos R = 12 / 18
Cos R = 0.6667
Take the inverse of Cos
R = Cos¯¹ 0.6667
R = 48 °
Thus, <QRP = 48 °
