6 plus 6 plus 6 time 2 equals?

An equation for the function graphed above is \(y = \frac{4(x - 1)}{(x + 1)(x - 4)}\).

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function shown above, we can logically deduce that its vertical asymptotes include the following;

x = -1 ⇒ x + 1 = 0.

x = 4 ⇒ x - 4 = 0.

In this context, an equation that represent its denominator is given by the following quadratic function:

Q(x) = (x + 1)(x - 4)

Assuming the leading coefficient of the function P(x) is represented by a;

P(x) = a(x - 1)

By evaluating and solving for the leading coefficient "a" in this function, we have;

f(x) = P(x)/Q(x)

f(x) = a(x - 1)/[(x + 1)(x - 4)]

f(0) = a(0 - 1)/[(0 + 1)(0 - 4)]

f(0) = -a/[(1)(-4)]

f(0) = a/4

Since the y-intercept of this graph is located at (0, 1), the value of the leading coefficient (a) can be calculated as follows;

1 = a/4

1 = a/4

a = 4 × 1

a = 4

By substituting the value of the leading coefficient (a) into the function, we have the following;

f(x) = P(x)/Q(x)

f(x) = y = 4(x - 1)/[(x + 1)(x - 4)]

\(f(x) = y = \frac{4(x - 1)}{(x + 1)(x - 4)}\)

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By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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The percent of the area that is not covered is 80 percent

In mathematics area is defined as the absolute or total space that an object or shape occupies. It is usually measured using centimeters, cm ² square or the use of meter square m ².

area of tent

= (10 - 0) * (6 - (-3))

= 90

The area of the campsite would be:

(25 - (-5) x (10 - (-5))

= 450

Then the area would be 450 - 90

= 360

the percentage that is not covered by tent = 360 / 450 x 100

= 80 percent

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\(\qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ z1=20[\cos(120^o)+i\sin(120^o)]~\hfill z2=4[\cos(30^o)+i\sin(30^o)] \\\\\\ \cfrac{z1}{z2}\implies \cfrac{20}{4}[\cos(120^o - 30^o)+i\sin(120^o - 30^o)]\implies 5[\cos(90^o)+i\sin(90^o)] \\\\\\ 5[0+i(1)]\implies 0+5i\implies \boxed{5i}\)

The new function g(x) after performing the given transformations is g(x) = (x - 93)² + 98

From the question, we have the following parameters that can be used in our computation:

f(x) = x²

The transformation that shifts it upward 98 units is g(x) = f(x) + 98,

While the transformation that shifts it 93 units to the right is g(x) = f(x - 93).

To apply both transformations, we can first shift the function f(x) to the right by 93 units:

g(x) = f(x - 93) = (x - 93)²

Then we can shift the resulting function upward by 98 units:

g(x) = (x - 93)² + 98

Hence, the new function g(x) is: g(x) = (x - 93)² + 98

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Answer:

there is many ways but he could put them side to side or top and bottom

Step-by-step explanation:

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer: 13.71

Step-by-step explanation:

Hundredths is the second place

Answer:

13.71

Step-by-step explanation:

The hundredths place is the second decimal, and, since the decimal after that is a 1, you round down and get 13.71

Answer:

Step-by-step explanation:

Typically yes you need to know

Mean

Median

Mode

and Range

Mean = average, add all numbers then divide by how many

Median = midpoint, middle number.  Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers

Mode = numbers that occurs the most in the list of numbers

Range = This is the largest number minus the smallest number.  

Given:

The equation is,

The point is,

To find:

Explanation:

i) The point is shifted 3 units up.

So, the point becomes,

ii) The point is shifted 3 units left.

So, the point becomes,

iii) Since it is stretched vertically by the scale factor of 3.

So, the point becomes,

iv) Since it is compressed horizontally by the scale factor of 1/3.

So, the point becomes,

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

A = -6 and B = 65

From the question, we are to express the given expression in the form (x + A)^2+B by completing the square

The given expression is

x² -12x + 101

Using the completing the square method

x² -12x + 101

Divide the coefficient of x by 2 and then square it

The coefficient of x is -12

Dividing by 2, we get

-12/2 = -6

Squaring

(-6)²

Now, add and subtract this value from the expression

x² -12x + (-6)² + 101 - (-6)²

Then, we can write that

(x - 6)² + 101 - (-6)²

(x - 6)² + 101 - 36

(x - 6)² + 65

Thus,

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

By comparison,

A = -6

and

B = 65

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Answer:

0

Step-by-step explanation:

1. First, we should know the slope-intercept form of any equation: y = mx + b.

2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.

Therefore, the y-intercept is 0.

Answer:

m = 20 * n

Step-by-step explanation:

The money that he earns is equal  the amount earned per lawn times the amount of lawns that he mows

m = 20 * n

Answer:

60 = 3 x 20

Step-by-step explanation:

60 = m

3 = c

20 = n

The given set in roster method is written as {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}.

Given that, M={x : x is an integer and 2 ≤ x ≤20.

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

Now, the given set in roster method can be written as follows:

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

Therefore, the given set in roster method is written as {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}.

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"Your question is incomplete, probably the complete question/missing part is:"

Write the given set in roster method: M={x : x is an integer and 2 ≤ x ≤20

Answer:

10

Step-by-step explanation: The sum of 3+7 is 10

Answer:

10

Step-by-step explanation:

3+7 is 10

if you add 1 on to 7 three times, we get

8,9,10

(i know this is a troll question lol)

hope this helps!

give brainliest :)

Answer:

18144²

Step-by-step explanation:

first, substitute

(7(-6)²(-6)²2)²

(7(36)(36)2)²

multiply everything together

which equals 18144²

Step-by-step explanation:

Hopes this helps you

18,144^2

= 329,204,736

Answer:

Your answer is D

Step-by-step explanation:

Your welcome

The linear velocity expression of the given problem is: 8π/7 feet per second

Angular velocity is defined as the time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes.

We are given the angular velocity as:

ω = π/7

The formula that shows the relationship between angular velocity and linear velocity is:

v = ωr

Thus:

v = (π/7) * 8

v = 8π/7 feet per second

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Answer:

X= 610/119

Step-by-step explanation:

Answer\(\implies\) 0.666666667

Hope it helps you...

Answer:

Step-by-step explanation:

Answer:

length-x

width-x-4

area-- length* width

192=X*(X-4)

x^2-4x-192=0

x^2-16x+12x-192=0

X(x-16)+12(x-16)=0

(x-16),(X+12)

X= 16 because X cannot be negative like (-12)

the dimensions of the classroom will be

length = 16

width = 12

I hope this will help everyone

To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?

Answer:

500 times

Step-by-step explanation:

Divide the thickness of a cat hair by the thickness of a human hair.

4.0 × 10^-1 / 8.0 × 10^-4 =

= 0.5 × 10^3

= 500

500 times

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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