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Solve the equation. Show each step along the way and click the button to check your work (1) 😍😍😍😍😍😍😍😍😍😍😍❌❌❌ −4(2x + 5) − 3x = 35
Question 6 How long would one need to observe a star on a 10 meter telescope to collect the same amount of light as one collects in one hour on a 5 meter telescope? ○ 4 minutes ...
Write the rule for the dilation. Simplify any fractions.
1. Study the information about the Olympic Games given opposite. 2a. Discuss the bar chart with a partner. What general trends can you see, e.g. numbers over the years? ratio of...
A patient you are evaluating is complaining of chest pain. They describe it as sharp and in the upper right chest/shoulder area. They also say it makes them feel short of breath...
The plant life zones in a national park can be approximately classified by elevation. Write an inequality that represents x , the elevation range for flowers in the subalpine an...
Rotate the segment according to the algebraic representation below. Move the blue points to the new coordinates. (x, y) → (-y, x)
1. Select the correct answer by entering the data from the table in your calculator. x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 y | 22 | 29 | 41 | 47 | 63 | 69 | 82 | 90 Based on the sha...
3. Select the correct answer by entering the data from the table in your calculator. x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 ---|---|---|---|---|---|---|---|--- y | 7 | 12 | 13 | 10 |...
4. Select the correct answer by entering the data from the table in your calculator. x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 ---|---|---|---|---|---|---|---|--- y | 12.2 | 10.8 | 10.2...
5. Select the correct answer by entering the data from the table in your calculator. x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 y | 12 | 8 | 5 | 3 | 2 | 3 | 5 | 8 Based on the scatter pl...
The formula for the volume of a cone is V = \frac{1}{3} \pi r^2 h, where V is the volume, r is the radius, and h is the height. What is the volume of a cone with a radius of 4x ...
Which is equivalent to \( \frac{\sqrt{1,620}}{\sqrt{180}} \)? A. \( \sqrt{3} \) B. 3 C. 9 D. \( 3\sqrt{10} \) E. \( 9\sqrt{10} \)
What is the probability that the person selected is watching the drama movie? Round the answer to the nearest hundredth. Enter the answer in the box.
1. What do you mean by throwing and catching? 2. Name one game where you must catch while jumping.
1. The position of a particle moving along a straight horizontal groove is given by \(x = 5 + t(t - 1)\) for \(0 \leq t \leq 5\) where \(x(t)\) is measured in metres and \(t\) i...
3. Solve the rational equation: \( \frac{x}{x+6} \cdot \frac{x+4}{4x} = \frac{1}{x+6} \) a. \( x = 6 \) b. No solution c. \( x = 0 \) d. \( x = 4 \)
4. Simplify the expression: (x^2 - 81) / (x^2 - 9x) * (x^2 + 11x + 30) / (x^2 - 36) * (x - 6) / (x + 9) a. (x - 9)(x + 5) / x b. (x + 5) / x c. (x + 9) / x d. (x + 5) / (x(x - 6))
5. Solve the rational equation: (2x - 3)/(x + 4) + 7/(x + 4) = 14/(x + 4) a. x = -4, 5 b. x = -4 c. x = 5 d. No solution
6. A machine can complete a production order in 5 hours. A second machine can complete the same order in 2 hours. Working together, they complete the order in 2 hours. Find x. a...
7. Solve the rational equation: \( \frac{x}{x+6} \div \frac{5x}{x+1} = \frac{2}{5(x+6)} \) a. \( x = 1 \) b. \( x = -6 \) c. No solution d. \( x = 0 \)
8. Solve the rational equation: \( \frac{x}{x+1} \cdot \frac{x+8}{2x} = \frac{5}{x+1} \) a. \( x = 2 \) b. \( x = 0 \) c. \( x = -1 \) d. No solution
9. Simplify the expression: (x^2 + 11x + 30) / (x^2 - 8x + 15) * (x + 5) / (x - 3) a. x + 6 / x - 5 b. (x + 6) / ((x - 5)(x + 5)) c. ((x + 6)(x + 5)) / ((x - 5)(x - 3)) d. x - 5...
10. A hiker walks 15 miles on level ground and 8 miles uphill. The uphill pace is 3 mph slower than the level-ground pace. If both parts of the trip take the same amount of time...
11. Solve the rational equation: \( \frac{x}{x+2} + \frac{6x}{x+5} = \frac{1}{3(x+2)} \) a. \( x = 0 \) b. No solution c. \( x = -2 \) d. \( x = -3 \)
12. Solve the rational equation: \( \frac{x+1}{x-2} - \frac{3}{x-4} = \frac{x^2 - 9x + 5}{(x+1)(x-4)} \) a. \( x = 4 \) b. \( x = \frac{1}{2} \) c. No solution d. \( x = \frac{1...
13. A hose can fill a pool in 4 hours. A second hose can fill the same pool in x hours. Working together, the hoses fill the tank in 2 hours. Find the value of x. a. 2 minutes b...
14. Simplify the expression: (x^2 + 11x + 30) / (x^2 + 8x + 15) * (x + 6) / (x + 3) * (x + 3) / (x + 5) a. (x + 5)(x + 3) / (x + 6)(x + 3) b. (x + 5) / (x + 6)(x + 3) c. (x + 3)...
Identify the vertical asymptotes of the following rational function: f(x) = (x + 8) / ((x - 1)(x + 9)) a. x = 8 b. x = 9, -1 c. x = 1, -9 d. x = -8
Use the following vertical asymptotes to determine the denominator of the rational function: x = -8, x = 2 a. (x - 8)(x + 2) b. (x + 8)(x + 2) c. (x - 8)(x - 2) d. (x + 8)(x - 2)
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