Answers:
- C) x = plus/minus 11
- B) No real solutions
- C) Two solutions
- A) One solution
- The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.
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Explanations:
- Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
- There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
- The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
- We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
- Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
2941526 mi^2
The first thing you should know to solve this problem is the following conversion:
1mi = 1609.34m
Applying the conversion we have:
2941526 * (1609.34 / 1) ^ 2 = 7.61848E + 12 m ^ 2
Answer:
The land area of Australia in square meters is:
7.61848E + 12 m ^ 2
The correct answer is the fourth one 324\pi cm3
Answer:
-0.01
Step-by-step explanation:
Answer: a) 6, 0, 10 b) yellow/orange line
Step-by-step explanation:
a) Plug the x in the y functions, y = 2x² + x
when x = -2, y = 2(-2)² + (-2) = 8 - 2 = 6
when x = 0, y = 2(0)² + (0) = 0 + 0 = 0
when x = 2, y = 2(2)² + (2) = 8 + 2 = 10
b) By looking the table, the equation has a point (0,0), only blue and yellow/orange line has the passed the point (0,0), so we delete the red line option.
And we choose a point (1,3), then only yellow/orange line has passed the point (1,3). So the yellow/orange line fits the equation.