Answer:
x>4
Step-by-step explanation:
Solving an inequality is very similar to solving an equation:
Given: 7x-6>22
Add 6 to both sides: 7x>28
Divide both side by 7: x>4
x>4 means that all x-values that are greater than 4 will work. Therefore you would write an open dot at x=4 on the number line to show that 4 isn't included, and draw an arrow going right to show all possible solutions greater than 4.
2t^2 =4t+3t=5t
5t+500
3t^2=9t+t=10t
10t+300
A is true. Thus D is also true. The result of the synthetic division shows C is true.
The appropriate choices are ...
A. (x - 2) is a factor of 3x² - 11x + 10
C. (3x² - 11x + 10) ÷ (x - 2) = (3x - 5)
D. The number 2 is a root of F(x) = 3x² - 11x + 10
Answer:
x = - 12, y = - 9
Step-by-step explanation:
Given
- 4 + 3i - x + yi = 8 - 6i
Simplify left side by collecting like terms and equate like coefficients with the terms on the right side, that is
- 4 - x + i(3 + y) = 8 - 6i, thus
3 + y = - 6 ( subtract 3 from both sides ) ← equating imaginary parts
y = - 9, then
- 4 - x = 8 ( add 4 from both sides ) ← equating real parts
- x = 12 ( multiply both sides by - 1 )
x = - 12
<h3>
Answer: 200.96 ft^2 (choice C)</h3>
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Work Shown:
A = pi*r^2
A = 3.14*8^2
A = 200.96
Note that the radius r = 8 is half of the diameter d = 16. I'm using the approximation pi = 3.14, which means the area is approximate. To get a more accurate answer, use more decimal digits of pi. The units of the area are in square feet, which can be written as "sq ft" or as "ft^2".
