Use vector operations to draw the resultant vector

Answer:

  domain: all real numbers except x=3 and x=5.

Step-by-step explanation:

You want the domain of a composition of rational functions f(x)=1/(x-2) and g(x)=4/(x-3).

The domain of a function is the set of values of the independent variable for which the function is defined.

To compute f(g(x)), you must first compute g(x). When x=3, the denominator of the function 4/(x-3) is zero, so the value is undefined. The domain must exclude x=3.

The composition is found by substituting g(x) for x in the definition of f(x).

  [tex]f(g(x)) = f(\dfrac{4}{x-3}) =\dfrac{1}{\dfrac{4}{x-3}-2}=\dfrac{x-3}{4-2(x-3)}\\\\f(g(x))=\dfrac{x-3}{4-2x+6}=\dfrac{x-3}{2(5-x)}[/tex]

We have written the composition in this form so you can see there is a denominator factor that will be zero when x=5. The domain of f(g(x)) must also exclude x=5.

The domain of f(g(x)) is all real numbers except x=3 and x=5.

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Step-by-step explanation:

Answer:

15%

1000* 15% = 150

Step-by-step explanation:

150 : 1000 = x : 100

(150 * 100) / 1000

15000/1000 =

15

5 points that are not coplanar with H, E, and A are B, I, C, F, and G.

The figure in the given diagram is a cube. We have to find the 5 points in the cube that are not coplanar with H, E, and A.

Points are non-coplanar if they don't lie on the same plane.

From the given cube diagram, it is clear points A, E, H, J, and D lie on the same plane, while the points B, I, C, F, and G lie on a different plane. Since we have to check if the points are coplanar with respect to the given points H, E, and A.

It can be concluded that points J and D are coplanar with the given points H, E, and A as they all lie in the same plane, while the points B, I, C, F, and G are non coplanar points with respect to the given points H, E, and A as they lie on a different plane.

Therefore, using the concept of coplanar and non coplanar points, we get 5 points that are not coplanar with H, E, and A as B, I, C, F, and G.

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Answer:

RGRGAEGETG

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C

Answer:

$192.5

Step-by-step explanation:

1. turn 45% into .45

2. multiply .45 x 350

3. get 157.5 and then subtract 350-157.5

4. answer is 192.5

Answer:

Real: 10

Complex: -7i

Step-by-step explanation:

i is imaginary.

The real part of the complex number is 10 and the imaginary part of the complex number is -7i.

The complex number is of the form a+ib where a and b are real numbers.

The given number is 10-7i.

Compare the given number with a+ib and determine the values of a and b.

a=10

b=-7

In the complex number, a+ib the real part is a and b is the imaginary part.

So, the real part of the given number is 10 and the imaginary part is -7i.

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Answer:

-3

Step-by-step explanation:

because quotient means division,

so you divide 6 by -1/2

-1/2 is equal to -0.5

6/-0.5= -3

Answer:

500

Step-by-step explanation:

= (25/100)*2000

= (25*2000)/100

= 50000/100 = 500

Step 1: In the given case Output Value is 2000.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 2000 = 100%.

Step 4: In the Same way, x = 25%.

Step 5: On dividing the pair of simple equations we got the equation as under

2000 = 100% (1).

x = 25% (2).

(2000%)/(x%) = 100/25

Step 6: Reciprocal of both sides results in the following equation

x%/2000% = 25/100

Step 7: Simplifying the above-obtained equation further will tell what is 25% of 2000

x = 500%

Therefore, 25% of 2000 is 500

Step-by-step explanation:

The given equation is :

[tex]\dfrac{y-7}{x-5}=\dfrac{2}{6}[/tex]

or

[tex]\dfrac{y-7}{x-5}=\dfrac{1}{3}[/tex]

Cross multiplying both sides:

[tex]3(y-7)=x-5\\\\3y-21=x-5\\\\3y-x=21-5\\\\3y-x=16[/tex]

The simplified equation is 3y-x=16.

Answer:

r

Step-by-step explanation:

10r - 9r =  r

Answer:

6 and 4

Step-by-step explanation:

6 + 4 = 10

6 - 4 = 2

Hope this helped you :)

6 and 4

6-4 = 2

6+4 = 10

They tell you the sum is 10, so think of #'s that make 10:

1,9

2,8

3,7

4,6

5,5

Now, which ones make 2 when subtracted

9-1 = 8

8-2 = 6

7-3 = 4

6-4 = 2

5-5 = 0

Therefore, the answers are 6 and 4

Answer:

b

Step-by-step explanation:

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Not possible to pay the bill

• Addition of integers is the process for finding out the sum of more than two variables. There may be an increase or decrease in value, depending on whether the integers are positive or negative or a mixture

• Addition in mathematics is one out of the four basic mathematical operations used for adding of two numbers.

Rules for addition of integers

• The sum of an integer and its additive inverse is 0.

• Addition of two positive integers always result in a positive value that is always greater than both the integers.

• Adding two negative values always result in a positive value what is smaller than the given numbers.

• Adding 0 to any numbers results the same number.

Mr Allen has $149 in his account and he need to write a check of $169 . It is not possible because 149 < 169 , he must have money more than or equal to $169 for paying the bill.

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Answer:

X = 1/3 or X = -1/3

Step-by-step explanation:

Solve for X over the real numbers:

X^2 = 36/324

36/324 = 1/9:

X^2 = 1/9

Take the square root of both sides:

Answer: X = 1/3 or X = -1/3

As We can see that point J is on (-2,5) and L is on (-2,-2)

So we know that distance cannot be in negative, thus

Distance between J and L =5+2=7 units

JL=7

Answer:

Exact Form:

x = 1 , − 1/ 2

Decimal Form:

x = 1 , − 0.5

Step-by-step explanation:

QUICK MATH

Two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.

According to the given diagram:

Therefore, two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.

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Answer:

y=50+12x y=100+9x

Step-by-step explanation:

the answer is 10. if you take the lcm of 5 and 2 you should get it.

Answer:

Yes, they are

Step-by-step explanation:

180 - 100 = 80

80 - 45 = 35

All angles 100, 45, and 35

Answer:

Yes

Step-by-step explanation:

Triangle QRP is missing angle R, which is 35 degrees and triangle TUS is missing angle S, which is 45 degrees. The two triangles have the other missing angle.

Answer: 2.

Step-by-step explanation: This is because 35 is repeating forever.

Answer:

ur gay landen

Step-by-step explanation:

Answer:

i am positive it is B

Step-by-step explanation:

The value of x is 20

A parallelogram is a quadrilateral with equal opposite sides

Since the opposite sides of a parallelogram are equal, then the following equation is true

[tex]6x - 57 = 3x + 3[/tex]

Divide through by 3

[tex]2x - 19 = x + 1[/tex]

Collect like terms, in the above equation

[tex]2x - x = 19 +1[/tex]

Evaluate the like terms

[tex]x = 20[/tex]

Hence, the value of x is 20

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Answer:

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Step-by-step explanation:

The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

We have to given that;

To find the dimensions of a line.

We know that;

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Thus, The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

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Given that,

Point = (-5,3)

Slope, m = -3/5

To find,

The slope intercept form of the equation of the line.

Solution,

The general form of equation is :

y = mx +b

We have, x = -5, y = 3

So,

[tex]3=\dfrac{-3}{5}(-5)+b\\\\3=-3+b\\\\b = 6[/tex]

The equation is :

[tex]y=\dfrac{-3}{5}x+6[/tex]

Hence, the required equation is [tex]y=\dfrac{-3}{5}x+6[/tex].

Answer:

x = 26

y = 92

Step-by-step explanation:

4x - 16 = 3x + 10

x = 26

y =  180 -88

y = 92