Question 1 Solve the following equation for x x\textsuperscript{2} + 8x \text{\textendash} 24 = 0 Give your answers to three significant figures. (5 marks) Question 2 Find the sum of the 15\textsuperscript{th} to 39\textsuperscript{th} terms of a sequence of consecutive whole numbers starting from 1. (5 marks) Question 3 Calculate the total perimeter length of the following triangle to 2 significant figures (the diagram is not to scale). 92mm 24.0° 134.1°
Added by Jessica K.
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Step 1
To factor the equation, we need to find two numbers that multiply to -24 and add up to 8. The numbers that satisfy this condition are 12 and -2. So, we can rewrite the equation as (x + 12)(x - 2) = 0. Setting each factor equal to zero, we get x + 12 = 0 and x - Show more…
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Supreeta N.
Consider the trinomial x^2 + 2x - 24. As a first step to factoring it, find the factors of -24 such that the sum of those factors is 2. (Enter your answers as a comma-separated list.) 2. Consider the following function. f(x) = 32x^2 + 20x - 15 a) Find when f(x) = 10. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) b) Use part (a) to find two points that lie on the graph of the function. (Order your answers from smallest to largest x.) (x,y) = (x,y) = 3. A pennant is shaped like a right triangle, with a hypotenuse of 15 feet. The length of one side of the pennant is three feet longer than the length of the other side. Find the length, in feet, of the two sides of the pennant.
Keondre P.
Solve each of the problems algebraically. That is, set up an equation and solve it. Be sure to clearly label what the variable represents. Round your answer to the nearest tenth where necessary. The width of a rectangle is 8 less than three times its length. If the perimeter of the rectangle is 24 in., find the dimensions of the rectangle.
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