how do i solve for x when the alternate exterior angles are 42x+4 and 43x+1?

For function \(f(x) = \left \{ {\frac{x+1}{x^{2} -1} ,\ {x\neq 1} \atop {1,\ x=1}} \right.\) given in the problem, the limit \(\lim_{x \to 1} f(x)\) doesn't exists.

A relation between a set of inputs and a set of allowable outputs is called a function, and it has the characteristic that every input is associated to precisely one output. When every element in set A has one end and only one image in set B, then the mapping from set A to set B is a function. Let A & B be any two non-empty sets.

Now for given function,

Limit exists, if LHL=RHL=f(a)

I.  \(f(x) = \frac{1-x^{2} }{x-1}=\frac{(1-x)(1+x)}{x-1} = \frac{-(x-1)(x+1)}{(x-1)} = -(x+1)\)

applying limit,

\(\lim_{x \to 1} f(x)= -2\), LHL= RHL= f(1) = -2. Hence, limit exists

II. \(f(x) = \frac{x^{2} -x^{3} }{x^{2} -1}=\frac{-x^{2} (x -1)}{(x-1)(x+1)} = \frac{-(x^{2} )}{(x+1)}\)

applying limit,

\(\lim_{x \to 1} f(x)= \frac{-1}{2}\) , also LHL= RHL= f(1) = -1/2. Hence, limit exists

III. \(f(x) = \left \{ {\frac{x+1}{x^{2} -1} ,\ {x\neq 1} \atop {1,\ x=1}} \right.\)

\(for x\neq 1,\\f(x)=\frac{(x+1)}{x^{2} -1} = \frac{x+1}{(x-1)(x+1)} = \frac{1}{x-1}\)

RHL= \(\lim_{x \to 1+h} f(x) = \lim_{h \to 0} f(1+h) =\lim_{h \to 0} \frac{1}{1+h-1}\)

\(\lim_{h \to 0} \frac{1}{h} =\) Undefined.

LHL = \(\lim_{x \to 1-h} f(x) = \lim_{h \to 0} f(1-h) =\lim_{h \to 0} \frac{1}{1-h-1}\)

\(\lim_{h \to 0} \frac{1}{h} =\) Undefined

and \(f(1)=1\)

Hence,\(\lim_{x \to 1} f(x)\) doesn't exists

IV. \(f(x) = \left \{ {\frac{x^{2} -3x+2}{x -1} ,\ {x\neq 1} \atop {-1,\ x=1}} \right.\)

\(for x\neq 1,\\f(x)=\frac{(x^{2} -3x+2)}{x -1} = \frac{(x-1)(x-2)}{(x-1)} = {x-2}\)

RHL= \(\lim_{x \to 1+h} f(x) = \lim_{h \to 0} f(1+h) =\lim_{h \to 0} (1+h-2)= -1\)

LHL= \(\lim_{x \to 1-h} f(x) = \lim_{h \to 0} f(1-h) =\lim_{h \to 0} (1-h-2)= -1\)

and f(1) = -1

Hence,\(\lim_{x \to 1} f(x)\)  exists

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Surface area is the sum of the area of all faces

Answer

a° = 58°

b° = 48°

c° = 74°

d° = 122°

Explanation

To answer this, we need to first know

- what alternate angles are.

- that the sum of angles in a triangle is 180°.

- The sum of angles on a straight line is 180°.

Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the two lines are parallel to each other, then alternate angles are equal.

We can see that

a° = 58°

b° = 48°

Then, for c°,

48° + 58° + c° = 180° (Sim of angles in a triangle is 180°)

106° + c° = 180°

c° = 180° - 106°

c° = 74°

Then, for d°,

58° + d° = 180° (Sum of angles on a stright line is 180°)

d° = 180° - 58°

d° = 122°

Hope this Helps!!!

In the algebraic expression, 6x + 10, x is the variable, 6 is the coefficient and 10 is the constant.

What are algebraic expressions?

Algebraic expressions are mathematical phrases that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. They can be used to represent mathematical operations and relationships between numbers.

Examples of algebraic expressions include:

2x + 3 (This is an expression that represents the sum of 2 times the value of x plus 3)

A letter or symbol that denotes an unknowable value is called a variable. The variable here is represented by x.

A coefficient is a number that is multiplied by a variable in an algebraic expression. In this case, 6 is the coefficient of x.

A constant is a value that does not change in an algebraic expression. In this case, 10 is the constant.

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Answer:

Your scale factor would be 2

Step-by-step explanation:

I really hope this helps! :)

Answer:

− 1 < x < 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

the answer is 1.6%

Step-by-step explanation:

0.016 × 100/100 =

0.016 × 100% =

(0.016 × 100)% =

1.6%

hope this helps : )

Answer:

\(1.6\%\)

Step-by-step explanation:

\(0.016 = \frac{16}{1000} \)

let's write this fraction as a percentage

\( \frac{16}{1000} \times 100\% \\ = 1.6\%\)

hope this helps

brainliest appreciated

good luck! have a nice day!

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

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Answer:

(1, 0.5)

Step-by-step explanation:

i just used order of operations calculator

Solving the equation with elimination method, I got x=1, y= 1/2

Pair (1.00, 0.50)

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

We assume your formula is intended to be ...

  p(t) = 17.6(1.25^t)

__

For t=0, ...

  p(0) = 17.6

For t=10, ...

  p(10) = 17.6·1.25^10 ≈ 163.91

For t=25, ...

  p(25) = 17.6·1.25^25 ≈ 4,658.68

Answer: 36˚

Step-by-step explanation:

180 - 3x = 2x

180 = 5x

.: x = 36˚

The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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because when you look for the root of ninety, it gives you a result that is not a natural or Rational number, but a completely Irrational number.

the result is 9.4868329

are numbers that cannot be expressed as the ratio of two whole numbers. This is opposed to rational numbers, like 2, 7, one-fifth and -13/9, which can be, and are, expressed as the ratio of two whole numbers.

hope this help!!

Answer:

c)

Step-by-step explanation:

Since sqrt(90) is an irrational number, by definition it cannot be represented as a ratio of two integers. 

Answer:

Solution for Find the exact value of the expression cos 11π/6. ... Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!* ... Q: The pair of equations x+2y+5 = 0 and -3x-6y+1=0 have how many ... of the tangent line to the graph of f(æ) = (e¯")² at a = - In 2 is Select one: O a. y + . ... All Rights Reserved.

Answer:

Step-by-step explanation:

Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

Answer:

A

Step-by-step explanation:

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer:

take math class and watch stuff on kai academy

Answer:

use maths watch and get smart

Intersection is the common part of the two intervals:

Union is the add up of the two intervals:

Answer:

9 people

Step-by-step explanation:

9 pieces of the 10 pieces of pie were left. If all 9 of those are gone and each took 1, there were 9 employees.

The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

When \(y = 3\) is used, the value of the expression \(12 - 3y2 + (v=4) / (2y - 2)\)  has a value of  \(-29/2\) .

To analyse an algebraic expression is to determine its value when a certain number is used in lieu of the variable. To evaluate the expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.

If  \(y = 3\) , we can insert it into the expression & simplify as follows to evaluate   \(12 - 3y2 + (v=4) / (2y - 2)\) for  \(y = 3\)  .

\(12 - 3(3)^2 + (√4) / (2(3) - 2)\) (y = 3 replacement)

\(12 - 27 + 2 / 4\s-15 + 1/2\s-29/2\)

Therefore, The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

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Answer:

409

Step-by-step explanation:

the formula of the slope is

where (x2,y2) is a right point from (x1,y1)

on this case the points are the same distance, so we can use any order

the slope cannot be calculated because the division between 0 dosnt exist, and the line is a vertical line x=3

the line is

Answer:

y=5x-40

Step-by-step explanation:

It says 5 feet per second, so you know that is the rate/speed. The rate is always going to be x. The building starts in the basement which is  -40 because the basement is under ground level, so it would be less then 0 (ground level) and y is the final height you are at.

Answer:

1 1/2. Hope this helps u :D

Answer:

Square root of

20square-13square

= √231