When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of the function a) 0 b)1 c)the same as the numerator

Answer: I hope this helps.

Step-by-step explanation:

∠DFG and ∠JKL are complementary angles

Measure of each angle

Given :

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,

and m∠JKL = x − 1

When two angles are complementary then the sum of angles is 90 degrees

∠DFG and ∠JKL are complementary angles.

So,

Now replace the expressions and solve for x

Now replace x with 43 and find out each angle

The statement 5 > -6 is the correct statement.

In this question, we have been given some mathematical statements.

We need to select the correct statement.

We know that, on the number line , numbers to the right are greater than numbers to the left.

Consider 1st statement

-2 < -3

If we see these numbers on the number line, then -2 is right to -3. This means, -2 is greater than -3.

So, above statement is False.

Consider 2nd statement

1 = -1

If we see these numbers on the number line, then we can observe that both the numbers are not equal.

So, above statement is False.

Consider 3rd statement

5 > -6

If we see these numbers on the number line, then 5 is right to -6. This means, 5 is greater than -6.

So, above statement is True.

Therefore, the statement 5 > -6 is the correct statement.

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Answer:

The number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

Step-by-step explanation:

It is given that, Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12 cents per yard.

Now, if after that purchase there was $22.84 left on the card, let's calculate how many yards of ribbon did Diane buy in total and for that we need to;

Furthermore, based on the given conditions, we will be formulating the following;

=> (25-22.84) / 12

=> 2.16/12

=> 216/100 × 1/12

=> 9/25 × 1/2

=> 9 / (25×2)

=> 9/50

=> 0.18 yards

Therefore, the number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

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Answer:

16/99

Step-by-step explanation:

i think

Answer:

7/10, 12/40, 2/20, -10

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

The solutions of the equation are x = 15 and -20

The equation is given as

the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0

Rewrite properly as

|2/5x + 1| - 7 = 0

Add 7 to both sides of the equation

|2/5x + 1| = 7

Remove the absolute bracket

2/5x + 1 = 7 and 2/5x + 1 = -7

This gives

2/5x = 6 and 2/5x = -8

Multiply both sides by 5/2

x = 15 and -20

Hence, the solutions of the equation are x = 15 and -20

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Answer:

x = 15 and -20

Step-by-step explanation:

Hence , the number of pencil's each math class get 1500 .

Let the number of pencil's each math class have be "x".

It is given that one middle school have 4 math classes and  other three middle school have e 6 math classes .

Then number of pencil's 4 math classes get = 4x

The number of pencil's 6 math classes get = 6x

Total number of pencil's = 15,000

According to question

           4x + 6x = 15000

               10x =  15000

                 x =  15000/10

                 x = 1500

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Answer:

(9c) - 4=5

Step-by-step explanation:

Product means 'The answer when you multiply' So we are working in multiplication. ( x )

9c is the multiplication.

It says 'less' which means subtracting to our answer. So we subtract 4. So far our equation is: (9c) - 4 (Brackets are needed as we are multiplying 9 by c and not multiplying 9 by c - 4)

Lastly, it says the answer must be 5 so we add that at the end. So the answer is:

(9c) - 4=5

Answer:

the scientific approach led to the birth of modern psychology in the 1800's as psychologists argued that ideas about human behavior and mental processes should be supported by this. In the 1800's, psychologists established these for the (scientific study of human behavior and mental processes).

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The last number represents where the line meets y-axis

Answer:

u = -50

Step-by-step explanation:

First let's carry the -4 to the other side and get u/5 by itself

-14 = -4 + u/5

+4     +4

-10 = u/5

The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides

-10 = u/5

*5       *5

-50 = u

So u should equal -50.

_____
You can also check this answer by plugging it back into the original problem

-14 = -4 -50/5

-14 = -4 -10

-14 = -14

The statement is true, so -50 is our answer for sure.

Hope this helps :)

Answer:

The LARGEST angle has a measure of 81°

Step-by-step explanation:

Let α be the smallest angle

     β be the second angle

     θ be the third angle.

• One (second) angle in a triangle has a measure that is three times as large as the smallest angle.

Then

β = 3α

• The measure of thethird angle is 45 degrees more than that of the smallest angle.

Then

θ = α + 45

• We know that the sum of the interior angles of a triangle add up to 180°

Then

α + β + θ = 180

Then

α + (3α) + (α + 45) = 180

Then

5α + 45 = 180

Then

5α = 135

Then

α = 27

_______________

β = 3α = 3 × 27 = 81

θ = α + 45 = 45 + 27 = 72

Conclusion :

The LARGEST angle has a measure of 81°

Answer: C 5.42

Step-by-step explanation:

Answer:7/8, 8/9, 9/10, 10/11, etc.

Total earnings for selling the same number of each type of sandwiches are $7.10x. This is a simple sum.

Here, the number of each type of sandwiches sold is x.

Pretzel ham sandwich cost $2.25. so, the earnings for selling Pretzel ham sandwich is $2.25x.

Similarly, earnings for selling pretzel turkey sandwich is $1.55x, earnings for selling bagel ham sandwich is $2.00x and earnings for selling bagel turkey sandwich is $1.30x. The total earning can be found by a simple sum of all individual earning of each type of sandwiches.

Therefore, Total earnings for selling the same number of each type of sandwiches are = $2.25x + $1.55x + $2.00x + $1.30x = $7.10x

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Answer:

yes

Step-by-step explanation:

you have to divide by the top and bottom to get the answer to the lowest number

Answer:

yes

Step-by-step explanation:

Check by changing to a common denominator

Answer:

Step-by-step explanation:

Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4}

Finite And Infinite Sets: Union Of Sets

Power Set: Complement Of A Set

Equivalent Sets: Universal Set

Types Of Sets: Set Theory

Answer:

This article is about the basic inequality {\displaystyle z\leq x+y}{\displaystyle z\leq x+y}. For other inequalities associated with triangles, see List of triangle inequalities.

Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.[1][2] This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.[3] If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that

{\displaystyle z\leq x+y,}z\leq x+y,

with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths (norms):

{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,}\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,

Step-by-step explanation:

Answer:

by triangular inequality

Step-by-step explanation:

Answer:

35x³-25x4y³/5x²y² = −5x6y5+35x3

The Fuel efficiency rate in miles per gallon is;  104.67 MPG

Let the initial amount of gallons be x

Now, after driving for 263 miles, you have 11 gallons of gas left in your tank.

Now, you continue driving and after driving 314 miles, you have 8 gallons left. This means that number of gallons used to drive 314 miles = 11 - 8 = 3 gallons

Therefore the Fuel efficiency rate which is in miles per gallon is;

MPG = 314/3

MPG = 104.67 MPG

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The equation of line is y=-9x-69.

To solve this problem we need to know the concept of slope of line and equation of straight line.

Writing the standard form of line is in the form of y= mx+ c where m is the slope of line.

And we also know that the product of slope of a line perpendicular to the line is equal to -1.

Let us assume that the slope of required line is m'

So, m' × 9 = -1

  ⇒ m'= -9

Now, the equation of line will be;

   [tex](y-3)=-9(x+8)[/tex]

⇒ y-3=-9x-72

⇒ y=-9x-69    is the standard equation of line perpendicular to the given line y=9x-8.

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Answer:

The answer to your question is 16

Step-by-step explanation:

3×3^2 is 27 so 27+8÷2 is 31 -(4+3) the answer is 24:)

-7 - √2i/14

=-7 - √-18/42

-=7 - 3√2 i/42

=-7 - √2i/14

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Answer: x=-1

Step-by-step explanation:

2x - 3 = -5

2x - 3 +3= -5+3

2x=-2

x=-1

Answer:

x = -1

Step-by-step explanation:

To find x, we have to get x by itself.

2x - 3 = -5

Add 3 to both sides

2x - 3 +3 = -5 +3

2x = -2

Divide by 2 to both sides

2x ÷2 = -2 ÷2

x = -1

Have a good rest of your day! :)