1. Simplify. V80 b) 4/18 -750 2. Find the maximum or minimum value of the function. Write a concluding statement. a) y =x' + 10x b) y =-0.5x - 3x – 2.5 3. Solve each using the specified method. Use exact answers only. a) factoring 2r - 7x-15 =0 b) quadratic formula 2x' +6x -11 = 0

1. Simplify. V80 b) 4/18 -750 2. Find the maximum or minimum value of the function. Write a concluding statement. a) y =x' + 10x b) y =-0.5x - 3x – 2.5 3. Solve each using the specified method. Use exact answers only. a) factoring 2r - 7x-15 =0 b) quadratic formula 2x' +6x -11 = 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.1: Parabolas

Problem 33E

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Question

1. Simplify.
V80
b) 4/18 -750
2. Find the maximum or minimum value of the function. Write a concluding statement.
a) y =x' + 10x
b) y =-0.5x - 3x – 2.5
3. Solve each using the specified method. Use exact answers only.
a) factoring
2r - 7x-15 =0
b) quadratic formula
2x' +6x -11 = 0

Expert Solution

Step 1

Since you have submitted more than one problems with subparts. here is the solution for question 1. To get remaining to be solved submit them again, each question separately.

a) Given,

The number is $\sqrt{80}$ .

Solution:

Factor the number 80 as product of perfect square and another number if possible.

$\begin{array}{rcl} \sqrt{80} & = & \sqrt{16 \times 5} \\ = & \sqrt{16} \sqrt{5} \\ = & 4 \sqrt{5} \end{array}$

b. Given,

The number is $4 \sqrt{18} - 7 \sqrt{50}$ .

Factor the radicand as product of perfect square and another number if possible.

$\begin{array}{rcl} 4 \sqrt{18} - 7 \sqrt{50} & = & 4 \sqrt{9 \times 2} - 7 \sqrt{25 \times 2} \\ = & 4 \sqrt{9} \sqrt{2} - 7 \sqrt{25} \sqrt{2} \\ = & 4 \times 3 \sqrt{2} - 7 \times 5 \sqrt{2} \\ = & 12 \sqrt{2} - 35 \sqrt{2} \\ = & - 23 \sqrt{2} \end{array}$