(a) Given that log, 2=log, 5, find x.

Q: find both solutions to the equation 100+(n−2)2=149 explain or show your reasoning

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Q: Which statement about the behavior of f(x)=x^2+4x-3 are true

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Q: Find the quotient. Write your answer in factored form. 16z²-8z+1 201² - 51 I³-71² + 12x 1573 =

A: 3x(4x-1)(x-4)(x-3

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Q: 3: Solve: logg x + logg (x+6)= logg (5x

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Q: Don’t use calculus A&C

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A: The answer is given below:

Q: c). |M||N| (M + N)

A: Given problem:- Given the vectors  M = -12ax + 3ay – 8az  N= 8ax + 5ay – 2az. find the |M||N|(M+N)

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A: Given query is to find the no permissible values for the function.

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Q: To what power should x be raised on the right side of the equation X-3. •x²/5 = x²? -5 • xº

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Q: Salt water is flowing into an aquarium that contains pure water. The concentration of salt in the…

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Q: The function h=-16t^2+256th=−16t2+256t represents the height h (in feet) of a rocket t seconds after…

A: I am attaching image so that you understand each and every step.

Q: 5. Solve the simultaneous equations given: b. 3a + 4b-3c=2 -2a + 2b +2c= 15 7a-5b + 4c = 26

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Q: What is the amplitude, period, phase shift and y-intercept (exact and approximate) of f(x)? Sketch…

A: Using graph

Q: Extra Credit g(x) = 2x²2 - x + 3: Find the difference quotient and simplify for g(x+h)- g(x) h

A: Given, g(x)=2x2-x+3

Q: Express the following expression as an equivalent expression that is a single logarithm. 2 logbx+7…

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Q: Prove by induction, showing all of your algebra steps: 2-2¹ +3.22+4.2³+...+(n+1)2 = n. 2+1 for all…

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Q: Find the length of side a in simplest radical form with a rational denominator. X 4

A: I have solved by using properties of  special right triangle...go through the solution...hope you…

Q: (c) log, 8+ log x² = log x

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Q: Find the characteristic equations of the following matrices: 401] -210 -201

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Q: Use the properties of logarithms to write the following expression as sums or differences of simple…

A: Given :logx+32x5

Q: Solve the following equation. w +9w²-400 = 0 ~··· Select the correct choice below and fill in any…

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Q: 2 81s² Simplify 36s O a. 3s O b. 9s² 2,50 12s $# 0 9s 4,50 12, S= 0 Clear my choice Od 27s

A: Given  81s²/36s ,s≠0 9s×9s/(9×4)s ,s≠0 9s/4,s≠0

Q: Solve equation ( enter answers as a comma-separated list. If answer does not exist, enter DNE 1.…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: 12. Shannon's new car sold for $21,000. Her online research indicates that the car will depreciate…

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Q: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 4 0 1 12 1 1 -4 1 0…

A: LU decomposition

Q: . a) Solve the following first order differential equations, clearly showing all calculation steps…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Determine which of the conic sections is represented by 4x² + 14xy + 5y² + 18x − 6y +30 = 0

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Q: A police officer recorded the following speeds of cars at a certain point on the highway: 55, 55,…

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Q: The population of an endangered bird is decreasing at a rate of 0.75% per year. There are currently…

A: The population of an endangered bird is decreasing at a rate of 0.75% per year.There are currently…

Q: A floor that is 8 feet by 12 feet is covered by tiles that are 6 inches. How many fewer tiles are…

A: We have to find out the no. Of the tiles

Q: 4. Prove that a 1 5.Let A = −1 -1 - permutation matrix is orthogonal. 0 1 1 1 -1 1

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Q: Find the power of A for the matrix A = A16 = -1 000 0 0 1 0 0 0 00-1 0 0 000 1 0 0000 -1 00081 00000…

A: We have to solve above matrix question

Q: log (x² - 9) = log (5x +

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Q: log4 (3x + 4)5 = 15

A: solve logrithm

Q: 1 22²-2 32+3.

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Q: Find the sum. 19 2 K-55 Σ k=0 The sum is (Simplify your answer.)

A: ∑k=019k-57

Q: Compute the orthogonal projection of 7 = proj,(v) = 4 [1] onto the line L through -4 and the origin.

A: Given:    Data is given

Q: 19. Jack paid $13.75 to buy 3 slices of pizza and 4 hot dogs at a concession stand. Sarah paid $9.75…

A: Let the price of each hot slide of pizza is  $ x  and the price of each hot dogs is  $ y

Q: 8. m= Equation: " 3 2 O 2 -5 b= 5 6

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Q: For the line x = -3y + 4 find the slope and the y-intercept 1 If your answer is a fraction like-6/4,…

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Q: you have two different plans and the equasions are this C1= 0.15x  C2= 0.10x + 10  X= minuites…

A: Given query is to find the values of x for which both plans cost same.

Q: Q1) Let D = M₂ (Z₂)be a ring find the order of D and all the idempotent elements.

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Q: Given ƒ(x) = x² + 5æ and g(x) = 1 − x², find ƒ + g. ƒ — g, fg, and 1. Enclose numerators and…

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Q: Given f(x)= x^2 + 7x, find the average rate of change of f(x) on the interval |-3,-3+h| . Answer…

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