USING DIRECT PROOF:  Prove: If x²-4=0, then x = 2 or x = -2.

Q: Solve for x. (Enter your answers as a comma-separated list.) |x - 8 2 x - 1 9. = 0 X =

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Q: Try It Determine all values of x that mah x+5 %3D true. Show your x-4 provided.

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Q: a) y || (т. 3x 5x-x2 3

A: The given equation is  a)      y=3x5x-x23b)  f(x)=(5x-3)5(3x-1)3

Q: Using an appropriate substitution, i) Evaluate [x (1- x)³ dr.

A: The solution for the above question is as shown below.

Q: What is the answer to the operation {1,2,3,4,5}A{2,4,6}?

A: Given to find that  1, 2, 3, 4, 5∆2, 4, 6 Let A=1, 2, 3, 4, 5 and B=2, 4, 6

Q: (b) x*yn-k is the same as the coefficient in front of x"-kyk. Consider the expression (x + y)", show…

A: As per Bartleby guidelines, for more than one questions are asked, first is to be answered. Please…

Q: Construct the addition and multiplication table for Zs. Use these tables to solve the following…

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Q: rectangle has a perimeter of 28 inches and a length of 8 inches.  What is the diagonal measurement…

A: First of all you will find the width of the rectangle by using the perimeter formula. And then you…

Q: Determine whether the statement is true or false. 10€{x|XEN and x is odd} Is the statement true or…

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Q: Showing an Equation Is Solvable 35. Assume that 1 < a < b and a/ x + x = 1/x - b . Show that…

A: Consider the following equation: ax+x=1x-b Multiply both sides of above equation by x;…

Q: f(x) = 0, X # 0, = 1, x = 0.

A: The function is,fx=0x≠01x=0

Q: Solve the inequality. Express the answer using interval notation. |x- 2 < 12

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Q: Algebra

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Q: Skill Practice 7 Solve. In x + In(x - 8) In(x - 20) =

A: We know that, from the property of logarithm logm+logn=logmn…

Q: X+5=-4 solve for x

A: Solve for x

Q: Using Pythagorean Theorem. Put your answer in the simplest form. a + 62 = c? %3D 3 8.

A: In the given right triangle, the hypotenuse is 8 and the other to sides are 3 and x, respectively.…

Q: -0.1015W - (34560/W) + 146.835 Solve for W (SHOW WORK)

A: The given equation is -0.1015W=34560W+146.835.…

Q: Solve for x. (Enter your answers as a comma-separated list.) 3 +7 In(x) - 9

A: Given: 3+7 ln(x)=9

Q: 3. Find all r so that r-1+r-2| < 5.

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Q: Solve the inequality. Express the answer using interval notation. |2x| ≤ 20

A: We have to solve the inequality: 2x≤20 We know the properties of modulus function, fx=fx   if…

Q: and passes through the point (1,11)

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Q: Solve for x. (Enter your answers as a comma-separated list.) x - 4 = 0 5 x- 1 X =

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Q: Construct the addition and multiplication table for Zs. Use these tables to solve the following…

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Q: ifferentiate the expression with respect to x, assum- ing that y = f (x)

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Q: coshz=cosh3 has two sets of solutions: 3+2nπi and a+2nπi where n is an integer. What is the value of…

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Q: and q7 both full explanatio

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: A car depreciating according to the formula V= 28,000(2.15)^-0.05x, where x is the age of the car in…

A: To find the value of car when it is four and a half year old

Q: x2 + y2 = 8 , x² + y² – z = 0 at the point (2,2,8)

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Q: Prove that  If c ∈ Z, then c^2 +3c+4 is even. Show your solution

A: Given that c∈Z Prove that c2+3c+4 is even

Q: Find:

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Q: Proof whether the equality is generally true

A: The equality is g∘f∘f-1∘g-1=f-1∘g-1∘g∘f We proceed as follows: Given: f:P→Q and g:Q→R are bijective.…

Q: -2x4 y'= ;y(2)=-5 2.

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Q: f 3x - 4 > 8, then x > 4

A: answer of given question is in step 2

Q: Solve: A X- Express answer in exact form. Express answer in exact form. Show your work

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Q: undetermined coefficients,

A: Given: The given differential equation is, y(3)+y'=3+2cosx To find: The particular solution of the…

Q: Solve for x. (Enter your answers as a comma-separated list.) 上。 x - 2 -24

A: To solve for x.

Q: Solve | 3-x| 2 5. O A. The set of real numbers B. Ø OC. {x|x28 or xs-2} O D. (x|x> 8 or x<-2} O E.…

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Q: Expana X-y+3y-2 in powers of x-I and y+2.

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Q: Solve for x. (Enter your answers as a comma-separated list.) X - 6 2 = 0 7 x- 1 X =

A: Given: x-627x-1=0 The objective is to find the value of x.

Q: Use algebra to find the point at which the line 59 intersects the line 2 7 g(x) x + - - 2 179 k(x) -…

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Q: Use algebra to find the point at which the line f(x) 4 -x + 0 intersects the line | 27 h(x) = 4 20…

A: We can find the answer using algebraic method as below.

Q: nat it is exact, then solve.

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Q: Inequality corresponding to the statement : x is less than 30 and at least 14.

A: To write the inequality corresponding to the given statement.

Q: solution of SO

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Q: Solve the inequality. Express the answer using interval notation. |5x – 8| < 10

A: The objective is to solve the inequality and express the answer using interval notation.

Q: Q-3: Obtain the open form of Vf, operation.

A: To obtain the open form of ∇4fj It is known that ∇fj=fj-fj-1 Now,…

Q: G2 show that the set of real numbers 7s Uncountable.

A: Since you have asked multiple questions, we will answer first one for you. If you want any specific…