Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 55HP
Related questions
Question
![d. Solve the inequality -4x(2 − x)²(x + 5) <0
a. Consider the parabola f(x) = x² - 4
i) Write the equation in vertex form.
ii) Find the vertex and axis of symmetry.
b) Find the x-intercept and the y-intercept.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11df92da-7b6d-4be3-9464-d61bc8ff618d%2Fd7208615-dec9-4f09-a1af-a8db05770a2d%2F8ibd0wg_processed.png&w=3840&q=75)
Transcribed Image Text:d. Solve the inequality -4x(2 − x)²(x + 5) <0
a. Consider the parabola f(x) = x² - 4
i) Write the equation in vertex form.
ii) Find the vertex and axis of symmetry.
b) Find the x-intercept and the y-intercept.
![a. Solve the equations:
16x³- 64x=0
x² - 11x + 18 = 0
5(x-4)²-16=9
i)
11)
111)
b. Solve the following inequalities
i)
|2x-13-30
ii) 9 5x +41-7 > 29
a. Given f(x)=5x4 + 47x³ + 80x² - 51x - 9
Determine if (x+3) is a factor of f(x).
b. Write the equation of the line that passes through the points (3, 5)
and
(13, 5).
c. Consider the circle, x² + y² − 8x + 2y - 8 = 0
i)
ii)
Write the equation of the circle in standard form.
Identify the center and radius.
a. Given f(x) = x² – 3 and g(x) = √x + 3. Find (fog)(x) and write the
domain of (fog)(x) in interval form.
b. Solve: log5x +log(x-1)=2
c. Solve: 25*-1 = 1254x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11df92da-7b6d-4be3-9464-d61bc8ff618d%2Fd7208615-dec9-4f09-a1af-a8db05770a2d%2Fngau882_processed.png&w=3840&q=75)
Transcribed Image Text:a. Solve the equations:
16x³- 64x=0
x² - 11x + 18 = 0
5(x-4)²-16=9
i)
11)
111)
b. Solve the following inequalities
i)
|2x-13-30
ii) 9 5x +41-7 > 29
a. Given f(x)=5x4 + 47x³ + 80x² - 51x - 9
Determine if (x+3) is a factor of f(x).
b. Write the equation of the line that passes through the points (3, 5)
and
(13, 5).
c. Consider the circle, x² + y² − 8x + 2y - 8 = 0
i)
ii)
Write the equation of the circle in standard form.
Identify the center and radius.
a. Given f(x) = x² – 3 and g(x) = √x + 3. Find (fog)(x) and write the
domain of (fog)(x) in interval form.
b. Solve: log5x +log(x-1)=2
c. Solve: 25*-1 = 1254x
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