Introductory and Intermediate Algebra for College Students (5th Edition)
5th Edition
ISBN: 9780134178141
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
Chapter 3, Problem 1MCP
a)
To determine
The x -intercept of the given graph.
a)
Expert Solution
Answer to Problem 1MCP
Solution:
The x -intercept is 4.
Explanation of Solution
Given:
The graph of the line.
Concept used:
To find the x -intercept of a given line on a graph, the point where the line is intersecting the x - axis is the x -intercept and the point where the line is intersecting the y axis is the y -intercept.
Calculation:
From the given graph, we observe that the line is intersecting x - axis at
Conclusion:
Therefore, the x -intercept of the graph is 4.
b)
To determine
The y -intercept in the graph given below.
b)
Expert Solution
Answer to Problem 1MCP
Solution:
y -intercept is 2.
Explanation of Solution
Given:
The graph of the line.
Concept used:
To find the x -intercept of a given line on a graph, the point where the line is intersecting the x - axis is the x -intercept and the point where the line is intersecting the y axis is the y -intercept.
Calculation:
The line is intersecting y - axis at 2, which makes it the y -intercept.
Conclusion:
Therefore, the y -intercept of the given line is 2.
c)
To determine
The slope of the line given in the graph.
c)
Expert Solution
Answer to Problem 1MCP
Solution:
The line’s slope is:
Explanation of Solution
Concept used:
Follow the below process for find the slope the given line:
Pick two points on the line and determine their coordinates.
Determine rise: the difference in y -coordinates of these two points.
Determine run: the difference in x -coordinates for these two points.
Divide the difference in y -coordinates by the difference in x -coordinates (rise/run or slope).
Calculation:
For slope, consider the two points
Difference in y -coordinates for these two points
Difference in x -coordinates for these two points
Now, divide the difference in y -coordinates by the difference in x -coordinates and get,
Conclusion:
Therefore, the slope of the graph is
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Chapter 3 Solutions
Introductory and Intermediate Algebra for College Students (5th Edition)
Ch. 3.1 - Fill in the blank so that the resulting statement...Ch. 3.1 - Fill in each blank so that the resulting statement...Ch. 3.1 - Prob. 3CAVCCh. 3.1 - Prob. 4CAVCCh. 3.1 - Prob. 5CAVCCh. 3.1 - Prob. 6CAVCCh. 3.1 - Prob. 7CAVCCh. 3.1 - Prob. 8CAVCCh. 3.1 - Plot the given point in a rectangular coordinate...Ch. 3.1 - Prob. 2ES
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- Write p(x) = 6+11x+6x² as a linear combination of ƒ (x) = 2+x+4x² and g(x) = 1−x+3x² and h(x)=3+2x+5x²arrow_forward3. Let M = (a) - (b) 2 −1 1 -1 2 7 4 -22 Find a basis for Col(M). Find a basis for Null(M).arrow_forwardSchoology X 1. IXL-Write a system of X Project Check #5 | Schx Thomas Edison essay, x Untitled presentation ixl.com/math/algebra-1/write-a-system-of-equations-given-a-graph d.net bookmarks Play Gimkit! - Enter... Imported Imported (1) Thomas Edison Inv... ◄›) What system of equations does the graph show? -8 -6 -4 -2 y 8 LO 6 4 2 -2 -4 -6 -8. 2 4 6 8 Write the equations in slope-intercept form. Simplify any fractions. y = y = = 00 S olo 20arrow_forward
- EXERCICE 2: 6.5 points Le plan complexe est rapporté à un repère orthonormé (O, u, v ).Soit [0,[. 1/a. Résoudre dans l'équation (E₁): z2-2z+2 = 0. Ecrire les solutions sous forme exponentielle. I b. En déduire les solutions de l'équation (E2): z6-2 z³ + 2 = 0. 1-2 2/ Résoudre dans C l'équation (E): z² - 2z+1+e2i0 = 0. Ecrire les solutions sous forme exponentielle. 3/ On considère les points A, B et C d'affixes respectives: ZA = 1 + ie 10, zB = 1-ie 10 et zc = 2. a. Déterminer l'ensemble EA décrit par le point A lorsque e varie sur [0, 1. b. Calculer l'affixe du milieu K du segment [AB]. C. Déduire l'ensemble EB décrit par le point B lorsque varie sur [0,¹ [. d. Montrer que OACB est un parallelogramme. e. Donner une mesure de l'angle orienté (OA, OB) puis déterminer pour que OACB soit un carré.arrow_forward2 Use grouping to factor: 10x + 13x + 3 = 0 Identify A B and C in the chart below feach responce inarrow_forward2 Use grouping to factor: 10x² + 13x + 3 = 0 Identify A, B, and C in the chart below. (each rearrow_forward
- 2 Use grouping to factor: 10x + 13x + 3 = 0 Identify A B and C in the chart below feach responce inarrow_forwardUse grouping to fully factor: x³ + 3x² - 16x - 48 = 0 3 2arrow_forwardName: Tay Jones Level Two Date: Algebra 3 Unit 3: Functions and Equations Practice Assessment Class: #7-OneNote 1. The function f(x) = x² is transformed in the following functions. List the vertex for each function, circle whether the function opens up or down, and why. All three parts must be correct to receive Level 2 points. You can receive points for a, b, and c. a) g(x) = -2(x+5)² Vertex: Opens Up Opens Down Why? ais negative -2 Vertex: b) g(x) = (x + 2)² - 3 c) g(x) = -4(x + 2)² + 2 Opens Up Opens Down Vertex: Opens Up Opens Down Why? 4 Ca is negative) Why? his positive 2. The graph of the function f(x) is shown below. Find the domain, range, and end behavior. Then list the values of x for which the function values are increasing and decreasing. f(x) Domain: End Behavior: As x → ∞o, f(x) -> -6 As x, f(x) -> Range: Where is it Increasing? (002] Where is it Decreasing? (1,00)arrow_forward
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