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compound inequality on the number line
Question Description
how do you solve the compound inequality on the number line for
2x+4<-8 or 4x+1>=-11

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Algebra - solving proportions - 2-3 pg paper needed
Algebra - solving proportions - 2-3 pg paper needed
Solving ProportionsAssignment problems.pdf Problems on this attachmentRead the following instructions to complete this assignment:
Solve problem 56 on page 437 of Elementary and
Intermediate Algebra. Set up the two ratios and write your equation,
choosing an appropriate variable for the bear population.
Complete problem 10 on page 444 of Elementary and
Intermediate Algebra.
Write a two- to three-page paper (not including the
title page) that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example,
and be concise in your reasoning. In the body of your essay, do the
followingSet up the proportion for problem 56 on page 437.
Demonstrate your solutions to problem 56 on page 437
and to problem 10 on page 444, making sure to include all mathematical
work and an explanation for each step.
Identify the form of equation you end up with in
problem 10, and explain the relationship between the final coefficient of
x compared to the original problem.
Incorporate the following four math vocabulary words
into your paper. Use bold font to emphasize the words in your
writing. (Do not write definitions for the words; use them appropriately
in sentences describing your math work.)
Extraneous
Proportion
Cross multiply
Extreme-means
MAT222.W1.AssignmentExample.pdf

Algebra help to find the
Algebra help to find the
1. Now consider the parent function P(x) = x2, and
let g(x) = 4(x-1)2 + 8.
(A) Explain step-by-step,
graphing/labeling (on graph paper!)
the parent, each intermediate function, if we do transformations in these two orders:
(You will have to figure out the exact transformations in each case.)
(i)Horizontal
shift then vertical stretch then vertical shift; (ii)Horizontal shift then vertical shift then
vertical stretch.
(B) (i) Explain how you can cut the
domain of our g(x) so that at least
part of it has an inverse function (I.e. passes the horizontal line test).
(ii) Now find
the equation of the INVERSE function of our g(x).

Algebra problem question
Algebra problem question
1. Consider the parabola f(x) = 3(x-2)2– 1 andthe line g(x) = 9x -2.(i) On graph paper sketch the line and the parabola. Indicate clearly the vertex of the parabola, as well as x- or y-intercepts for either. Be sure to use exact (fractions and radicals) expressions.(ii) Calculate exactly the two intersection points of the parabola and line, and label them on your sketch. Do this by completing the square.(iii) Between the intersections, the line is above the curve. Write an equation for h(x), the function giving the height of the line above the curve. Simplify h(x) into ax2 + bx + c form for your final answer.(iv) What is the DOMAIN of h(x)? Answer this one in a complete sentence.(v) Ok, now complete the square to write your h(x) in the form A(x-_)2+B.(vi) Use (v)to find the greatest distance between the line and curve.(vii) Mark this distance with a BAR on your sketch, and label exactly, with coordinates, the top and bottom of the BAR.

parent function and composition transformation
parent function and composition transformation
1.
Consider the following transformations on parent function f(x) =sqr root X
y = A(x) which shifts 3 units left;
y = B(x) which shifts the graph down by 2 units
y = C(x) which reflects a graph over the x-axis
y= D(x) which stretches the function
vertically by a factor of 5
A. For each transformation above, write
as a function of x.
B. For each of the following six
compositions, on graph paper, sketch/label the parent, and then on the same
pair of axes, sketch/label each intermediate function, with its equation, as
well as the final composition.
(i) A then B then C;
(ii) C then B then C ; (iii) D then C then D;
(iv) B
then D then B; (v) D then B then D; (vi) B then C then B

parent function with Inverse function
parent function with Inverse function
1. Now consider the parent function P(x) = x2, and let g(x) = 4(x-1)2 + 8.(A) Explain step-by-step, graphing/labeling (on graph paper!) the parent, each intermediate function, if we do transformations in these two orders: (You will have to figure out the exact transformations in each case.) (i)Horizontal shift then vertical stretch then vertical shift; (ii)Horizontal shift then vertical shift then vertical stretch.(B) (i) Explain how you can cut the domain of our g(x) so that at least part of it has an inverse function (I.e. passes the horizontal line test). (ii) Now find the equation of the INVERSE function of our g(x).

Algebra - One-Variable Compound Inequalities Discussion
Algebra - One-Variable Compound Inequalities Discussion
In this discussion, you will be
demonstrating your understanding of compound inequalities and the effect that
dividing by a negative has on an inequality. Read the following instructions in
order and view the example (Attached) to complete this discussion: MAT222.W1.DiscussionExample.pdf
According to the first letter of your last name, problem is circled in attached documentWeek 2 discussion 001.jpg
Solve the compound inequalities as demonstrated in Elementary
and Intermediate Algebra and the Instructor Guidance in the left
navigation toolbar, being careful of how a negative x-term is handled in
the solving process. Show all math work arriving at the solutions.
Show the solution sets written algebraically and as a
union or intersection of intervals. Describe in words what the solution
sets mean, and then display a simple line graph for each solution set as
demonstrated in the Instructor Guidance in the left navigation toolbar.
Incorporate the following five math vocabulary words
into your discussion. Use bold font to emphasize the words in your
writing (Do not write definitions for the words; use them appropriately
in sentences describing your math work.):
Compound inequalities
And
Or
Intersection
Union
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