log2x + log₂ (x-3) = 2

Q: on X-X₂ = 3 b) Using the result from part (a), solve the system -2x₁ +3x₂+2x₂ = 4. [4 0 -17 0-1 3x −…

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Q: (b) log, 30-log, 5² = log

A: Recall: logba-logbc=logbac     #b

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

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Q: The figure below has a point marked with a large dot. First, translate the figure 6 units to the…

A: NOTE: Refresh your page if you can't see any equations. . the marked point on the original figure…

Q: 1 05 , y(0) = y'(0) = 0 y'' - 4y + 3y y(t) = f(t)uo(t)- g(t)us(t), where f(t) = g(t) = Question…

A: Laplace

Q: If the equation x² + 2kx + 2k 3 has no real roots, find the range of k.

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Q: Q-4: Define the mapping T: R³-R² by Ty a) T: R³ → R² by T ([₂]) = [X + 2] 1 Show that T' is a linear…

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Q: c) Solve the following set of simultaneous equations using matrices 3x + y = 2z = 4 5x - 3z = 6 -x +…

A: Here we use the cramer's rule

Q: Given the vectors M = -12ax + 3ay – 8az, and N= 8ax + 5ay – 2az.find the following: a. Unit vector…

A: Given

Q: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 10 [:] -6 1 188…

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Q: A student borrows $10 000 at an interest rate of 4% per annum, compounded monthly. a) If the student…

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Q: Evaluate the expression when x=4 and y = 7. 36 y

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Q: Give an expression for the answer using permutation notation, combination notation, factorial…

A: A detailed solution is given below.

Q: Find the coefficient specified in each item. a) ?^4 in (6−12?)^6

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Q: II. Evaluate the following integrals: 6. 1 x te dx 5. ST + dy √y.e√ 7. jet dx ·et +ex et - e 8. s dx

A: To evaluate the given integrals.

Q: Determine the present value P you must invest to have the future value A at simple interest rate r…

A: We know that, P.V=F.V(1+r)n Where P.V.is present value, F.V. Future value, r is annual rate of…

Q: Exponential Functions and Equations:Question 1 Evaluate: log4 (1024) et one: O O 4 5 O3.5

A: Given query is to find the value of the function.

Q: c. Write an equation for the nth term of the sequence. d. Find 12- Use the sequence 16,384, 4096,…

A: solution:-16384, 4096, 1024, 256, ...214,      212,     210,    28,  ...this is Geometric…

Q: Z 1 Simplify 22²-232 +3 3z 2+2 Z#-1, 6(2²-1) + ²2-1.1 2-2 Z-1, 1 6(2²-1) 1 6(2+1), 2-1, 1 1 6(z-1),…

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Q: Let f(x)= -3x-1 and g(x)=x^2 -2   Find (f•g)(-7)

A: Given : f(x)=-3x-1g(x)=x2-2   To Find : (f.g)(-7)

Q: (x+10) = e 10 Of ¹(x) = 10 ln (4) - 10 of ¹(x) = ln [(102)¹] - 10 of '(x) = (10 In x) - 10 For the…

A: topic- inverse of function

Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. O y = 15 x 7x X

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Q: Simplify log x5-log x2 7logvx-logx³

A: We have to find out simplification

Q: Investing. How many years will it take $10,000 to grow to $18,800 if it is invested at 9% (A)…

A: Both the answers are given below

Q: Describe the transformations from the parent function, then graph: y -1 -5 x-3 :(co, 3) Domain:…

A: We need to describe transformation of given function.

Q: 7. A 200-litre tank initially contains 100 litres of water with a salt concentration of 0.1 grams…

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Q: Margaret worked on a straight 8% commission. Her friend worked on a salary of S800 plus a 10%…

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Q: Find the quotient. I² - 13z + 40 I² - 2x - 15 ÷ (z² - 5z - 24) =

A: Find out the quotient.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

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Q: Determine the sum of the non-permissible values for the rational expression Answer: 20h² 5h(1-n²)

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

Q: The doubling period of a bateria population is 1010 minutes. At time t=90 minutes, the baterial…

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Q: Steven's family is hosting an end-of-summer burger bash. His parents buy a family-size package of…

A: Steven's family is hosting an end-of-summer burger bash. His parents buy a family-size package of…

Q: Find the determinant of the coefficient matrix of the following system. How many solutions can you…

A: We will fins determinant and we will decide how many solutions does the system have,

Q: Let y = 2-| = H and u = Write y as the sum of two orthogonal vectors, ₁ in Span {u} and 2 orthogonal…

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Q: Q2: Find the determinant of 3x3 Matrix. 57-8 4 -3 6 1 7-9

A: We have to find out the determinants

Q: Mandy bought a desktop computer system to start her business from home for $4,995. It is expected to…

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Q: 4. Simplify the expression an+cot - sec²x O-tan² x Osec² x tan²x

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Q: Navigators locate an object by measuring its location clockwise direction from due north. The…

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Q: ponential Functions with Radical Bases gnment Active Rewriting Functions to Determine Rational Bases…

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Q: Dividing monomials Simplify. You answer should contain only positive exponents. X 3 य 1x²

A: x3/4x4 x3/4x3*x 1/4x

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A:

Q: a

A: Given, f(x)= sqrt(2-10x) g(x)=-1/x

Q: 07 + XL +7X x2+ x2-9 f(x)=

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Q: Question 1 The area of a circle is 81. What is its circumference? A = πr² С = лd OR 2πr OA, 6561T B.…

A: We have to find the circumference of the circle.

Q: A ∪ B ∪ C

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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: distinguish whether a data set represents a polynomial, rational, or radical function. You will also…

A: we have to find the following function is polynomial, rational or radical.

Q: Explore and describe the sine and cosine functions. Be sure to include the similarities and…

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Q: A polo shirt and a necktie costs P700. The polo shirt 350 more than the necktie. How much does the…

A: A detailed solution is given below.

Q: What is the measure of an angle in standard position whose terminal side intersects the unit circle…

A: