### Solving for a variable in an algebraic expression.

7:x = 9:27; x = ?

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7:x = 9:27; x = ?

Pick a number from 1 to 9 (0<x<10). Multiply it by 2. Then add 3 to the result. Now multiply this number by 50, then add 1853 and subtract the year of you birth. You now should have a 3 digit number. The first digit is the number you picked above, and the last 2 digits are your age after your birthday this year (2003). How is t

Solve for t: 1.) 7*(4^t)=9 2.) 2^(t+1)=5^(t-3)

Square root of 100 plus the square root of 200 plus the square root of 300 multiplied by the square root of 400 equals ?

Orthogonality questions (see attached)

-4x+3=0 What are the roots?

This is a day to day problem which can be taken mathematically: There are 23 school buses each carrying 41 kids and teachers on a picnic to the Niagara Falls. How many total number of people are going in this trip? Mathematically, the problem is 41 X 23 = ?

Q. Three whole numbers, greater then zero can be used to form a trio. example: (1,2,2) is a trio whose sum is 1+2+2=5 And (2,1,2) is a different trio whose sum is also 5 How many trios can you find with a sum of 5?

The equations of two lines are 4x-5y = -15 and y = 4/5x -6 Which of the following describes their point of intersection? A) (5,-2) B) (-5,1) C) (10,-5) D) (No intersection)

Factor the following: a) 3y^2-3 b) 25-16x^2y^2 c) (x+y)^2-z^2 d) (x-3)^2-9 e) t^2-2t-3

1)We wish to measure a wavefront u(x,y) on a 3X3 grid (see the attached file). The sensor how ever provides us only with differences between grid points. There is sensor noise, so the difference measurements may not be consistent. Number the grid points linearly and set up a set of linear equations (matrix form) relating the

Solve, find the solution set, solve for the real values - see attachment

Use elementary row operations to write the matrix in echelon form.

Lnx+ln(x+2)=4 3^x=45 x=log17 96 I did not know how to put the 17 lower than the log lnx for x=e^x f(6) for x^2+3x-2/x^2-6x=f(x)

For the equation, 5r-3s=24 and 3r+5s=28 solve for r and s by 1. substitution 2. elimination 3. matrix methods (except Cramer's rule) 4. Cramer's rule 5. Graphically

A landscaper just finished a garden measuring 6' by 10'. They just have enough money to lay down a concrete path 3" thick using 1 cubic yard of concrete. How wide is the path if it goes completely around the garden?

1. Simplify: sin^2(x)/sec^2(x)-1 2. Factor and simplify: cos^2(x)-sin^2(x)cos^2(x) 3. Perform the addition and simplify: 1/1+sinx + 1/1-sinx 4. Simplify: sec^4(x) + sec^2(x)-2

What are quadratic equations?

Algebra, see attachment

Solve for p 7p = -42

Solve 5 SQRT 2050 Determining rational and irrational mathematical expressions without the use of a calculator.

2 divided by the square root of 3x plus the square root of 3x equals the square root of 3x plus 8

Factor: xy-4x+2y-8

Factor 15x^2 - 12xy + 18x^3y^4

The attached file contains a worked example from a textbook. Explain it.

Find and simplify each of the following values: a)f(-a) b)f(a^-1) c)f(sqrt a) d) F(a^2) Question: f(x)=sqrt 1+x^2+x^4

Solve for x: 10^x + 6(10^-x) = 7 and also: 3^3x+2 * 8^-x = 4

What is the value of y to make both solutions equal to each other? x-4=y 4x+2=y

Determine the total number of solutions (including complex and repeated) of the following equations. 1.) 4x^3 - 7x^2 + 5x - 9 = 0 2.) 8x^6 - 3x^4 - 11x^3 - 2x^2 + 4 = 0 3.) x^5 + 2x^3 - 4x^2 + 7x = 12 4.) -3x^4 + 2x^3 + 15x^2 - x + 1 = 8

Ronald and Rosa are hiking. Ronald hikes 4 miles per hour. Rosa hikes 5 miles per hour. Ronald leaves camp at 8 am for the trail. Rosa leaves camp at 10 am for the trail. At what time will Rosa catch up to Ronald? Where will they be on the trail? How many miles will they be from camp? If they keep hiking for another 2 hours, how