Equations, Expressions, and Inequalities Q&A: Get Expert Help and Learn from Real-World Examples

Beth scored 92 and 96 on her first two exams. What score must she make on her third test to keep an average of 90 or greater?

Suppose the number of​ mobile-phone subscribers​ (in millions) between 1995 and 2006 can be modeled by Upper S left parenthesis x right parenthesis equals 18.66 x plus $22.92S(x)=18.66x+22.92$, where x is the number of years after 1995. In what year does this model indicate that there were 358,800,000 ​subscribers?

Simplify $6\times <!--\; \times \; -->5+8$

Discuss a real-life scenario in which you would need to add fractions and write an expression for that, and how you will simplify that expression. Use any scenario other than running.

What is the locus of the moving point p ((7t-2)/(3t+2) ,(4t+5)/(t-1))?

The president of a certain university makes 3 times as much money as one of the department heads. If the total salaries of the president and the department head is $210,000, find each person's salary.

Construct the fraction one-half by summing other fractions of the form 1/(x2).
(Choose various values of x (for example, 1/(3)2 or 1/(25)2 but no value of x may be greater than 100 and no value of x may be repeated.)

-Solve 1/4x<=3/8
-Solve 8x-7<=7x-5
-Solve -5x>23.5

Solve the equation:
$3(x-<!--\; -\; -->9)=6(x+4)-<!--\; -\; -->x$

Use the given information to find the number of elements in each of the reglons labeled $R_1$ through $R_5$
$n(A)=29,n(B)=34,n(C)=37,n(A\cap <!--\; \cap \; -->B)=14,n(U)=78$

(a) The complex conjugate of 1 +8/ is 1 +8
(b) 8 +8)

y^2+9y+20/y^2+12y+32 Simplify the expression

$2(9-<!--\; -\; -->2{)}^2-<!--\; -\; -->16÷<!--\; ÷\; -->8-<!--\; -\; -->2(24-<!--\; -\; -->2\sqrt{81})$

25. What is (2.5 X 102)(6.3 X 105) in scientific notation?
Show all your work below so that I know how to do this.
What is (2.5 X 102)(6.3 X 105) in scientific notation?
a. 1.575 X 107
b. 1.575 X 106
c. 1.575 X 1010
d. 1.575 X 108

Solve by using addition method $\{\begin{array}{l}5x=4y-<!--\; -\; -->8\\ 3x+7y=14\end{array}$

Video store A charges $9 to rent a video game for one weel. Although only memebers can rent from the store , memembership is free. Video Store B charges $4 to rent a video game for one week. Only members can rent from the store and memebership is $50 per year. After how many video-game rentals will the total amount spent at each store be the same? What will be the total amount spent at each store?

$x=3$ and $y=5$ evaluate the expression

A function f defined for -a < x < a is even if f(-x) = f(x) and is odd if f(-x) = -f(x) when -a < x < a. In this task we assume f is defined on such an interval, which might be the full real line (i.e. a = infinity).
a. Show that f(x) = x^2 is even and g(x) = x^3 is odd.
b. Write f(x) = 3x^3 +2x^2 - 5x +7 as a sum f(x) = e(x) + o(x), where e is even and o is odd.
c. Do the same for the function f(x) = 1/(1-x) on the domain -1 < x < 1. [Hint : multiply the numerator and denominator by 1+x].
d. Parts (b) and (c) suggest that it might always be possible to write f(x) = e(x) + o(x) where e is even and o is odd. Suppose that this is so, and use the definition of even and odd to write an equation expressing f(-x) in terms of e(x) and o(x).
e. You now have two equations: f(x) = e(x) + o(x) and the other one you obtained in part (d). Solve this system of equations for e(x) and o(x), and show that the resulting e(x) is even and the resulting o(x) is odd.
f. Based on your work in part (e), is it true or is it false that every function defined on the interval -a < x < a can be expressed as a sum of an even function and an odd function? Why?

Rewrite the expression as a single logarithm.
5*1n(r)+3*1n(t)-4*1n(s)

The slope-intercept form of the equation of a line is
A. y=mx + b
B. y= x^2
C. y-y1= m(x-x1)
D. m=y2-y1/ x2=x1