### Parallel and perpendicular lines

Are the following lines parallel, perpendicular, or neither? L1 with equation x - 7y = 35 L2 with equation 7x + y = 7 A) Parallel B) Perpendicular C) Neither

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Are the following lines parallel, perpendicular, or neither? L1 with equation x - 7y = 35 L2 with equation 7x + y = 7 A) Parallel B) Perpendicular C) Neither

In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive? (Please show steps) I'm trying to figure out what the steps would be to come to this conclusion. The problem says "220 more votes". I understand that (I think) to be +200, but

(See attached file for full problem description with proper equations) --- Given information in attachment, please sketch the graph. For the rational function f(x) = (x2 - 1) / (x2 - 9), give the intercepts and asymptotes and sketch the graph. Let f(x)=0, we get x=1 or x=-1. So, the x-intercepts: x=1 or x=-1. Let x=

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21) Use synthetic division to find: f(?2) f(x)=2x3?3x2+7x?12 21) 22) For the function f(x) = ?x3 + 8x2 ? 40 Show how to use synthetic division to find out if -1 is a zero. 22) 23) One of the zeros of the function f(x) = ? 7x2 + 17x ?15 is 2-i. Find all the other zeros. 23) ____________________ 24) Use the intermediate val

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F(x) = x^3 + 3x^2 - 3, find f(-2) using synthetic division.

Given the quadratic function y = 9 x 2 - 6 x + 3, What is the equation of the axis of symmetry ? 1) x = 2/3 2) x = - 1/3 3) x = - 2/3 4) x = 1/3

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How many quarts of 60% alcohol solution must be added to 20 gallons of 20% alcohol solution to obtain a mixture that is 30% alcohol?

(See attached file for full problem description)

Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8, ......to find the following: a. What is r, the ratio between 2 consecutive terms? b. Using the formula for the sum of the first n terms of a geometric series. What is the sum of the first 10 terms? Please round your answer to 4 decimals. c. Using the formula f

Use the arithmetic sequence of numbers 1, 3, 5, 7, 9, ..... to find the following: a. What is d, the difference between any 2 terms b. Using the formula for the nth term of an arithmetic sequence, what is 101st term? c. Using the formula for the sum of an arithmetic series, what is the sum of the first 20 term? d.

The classic problem - put a penny on first square of a checkerboard, and then double the amount on each succeeding square. How much money would be put on the 32nd square? How much money would you recieve if there only 32 squares? How much money is needed to fill all 64 squares of the checkboard? Thank you!

See attached file for full problem description of the calculation of a space shuttle's height after launch using series algebra.

The square root of x^3=8 i know the answer but confused on how to show how i go it. please show steps to the following answer x-1=3 = >x=4 3 square root of x^2=4 anwer is: =>x=2

X-1=3 x^3=8 3 square x^2=4

With a score of 84 and 6 exams, find out what the average score of 7 would be.

(See attached file for full problem description) Solve a) Answer: Show work in this space. b) . Answer: Show work in this space. c) . Answer: Show work in this space.

I need to evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. f(x) = 3x + 2 f(x) = x^2 + 5x + 6 f(x) = x^3 + 3x^2 + 2x + 1 f(x) = e^x f(x) = log x

1. Graph 3x+2y=6. Where do the points cross and how is the pair figured out? 2. Give the degree of 4x. 3. Solve the linear inequality by graphing. 3x + 4y <= 12 x + 3y <= 6 x >= 0, y >= 0 4. The demand and supply equations for a certain item are given by D = -5p + 40 S = -p^2 + 30p - 8 Find the eq

[(5x + 1) + 6y]^2

Use the geometric sequence of numbers 1, 3, 9, 27, ... to find the following: a) What is r, the ratio between 2 consecutive terms? b) Using the formula for the nth term of a geometric sequence, what is the 10th term? c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?

Find the area inside the big loop and outside the small loop for r = ½ + cos θ Limits are alpha & beta & must be calculated. Please see the attached file for the fully formatted problems.

Suppose a_k is a nonincreasing sequence satisfying a_k --> 0 as k--> infinity. Also suppose the sequence of partial sums by s_n = l summation k = 1 to n of b_kl is bounded. Show that these conditions imply summation k = 1 to n of a_k*b_k is convergent.

Suppose the sequences {a_n}_n and {b_n}_n are both bounded above. a) Prove that for all n in the naturals sup{a_k + b_k: k>/=n} is less than or equals sup{a_k:k>/=n} + sup{b_k:k>/=n} b) Use this to conclude: limsup (a_n + b_n) is less than or equals limsup(a_n) + limsup(b_n) (all limits are n--> infinity)

For the equation x - 2(sqrt of x) = 0 perform the following: Solve for all values of x that satifies the equation Graph the functions y = x and y = 2(sqrt of x) on the same graph. Show the intersection of these two graphs. Please show your work to help me with the more difficult equations on my assignment. Thanks