Factorize the following completely

1. 4p+2pr+6pz
2. ax + bx + cx

A translation along the directed line segment NB then a reflection over the vertical line about B so sequence A is correct therefore option (A) will be correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

Given the triangle MNO and ABC

Now,

If we translate MNO along the directed line segment NB and reflect over B then M will coincide with A and N with B and O with C.

In sequence B if we reflect on MO then M will not coincide with A and it will not form a triangle ABC.

Hence "A translation along the directed line segment NB then a reflection over the vertical line about B".

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The given question has missed an image, incomplete question is given in the image,

Answer:

42.5

Step-by-step explanation:

You have to multiply 7 times 5 equals 35. Then you multiply 7 times 2 which is 14 plus 3 equals 5. So you have 175 as the first number. Then you put a 0 under that number. You multiply 5 times 1 which is 5 and 2 times 1 which is 2. Now you have 250 as your second number.

Add 175 plus 250 which is 425 but you have to put the decimal between 2 and 5. Now you have 42.5

Hope that helps

Answer:

[tex]\mathrm{Focus:\;\;} \left(-\frac{5}{3},\:2\right)[/tex]

[tex]\mathrm{Directrix:\;\;}x=-\frac{1}{3}[/tex]

Step-by-step explanation:

The standard equation for a parabola is

[tex]4p\left(x-h\right)=\left(y-k\right)^2[/tex]

with vertex at (h, k) and a focal length of |p|

[tex]\mathrm{Rewrite}\:x=-\frac{3}{8}\left(y-2\right)^2-1\:\mathrm{in\:the\:standard\:form}[/tex]:

[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}[/tex]

[tex]x+1=-\frac{3}{8}\left(y-2\right)^2-1+1[/tex] or

[tex]x+1=-\frac{3}{8}\left(y-2\right)^2[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-\frac{3}{8}[/tex]
[tex]\frac{x+1}{-\frac{3}{8}}=\frac{-\frac{3}{8}\left(y-2\right)^2}{-\frac{3}{8}}[/tex]

[tex]\mathrm{Simplify}[/tex]
[tex]-\frac{8x}{3}-\frac{8}{3}=\left(y-2\right)^2[/tex]

[tex]\mathrm{Factor\:}-\frac{8}{3}[/tex]
[tex]\left(-\frac{8}{3}\right)\left(x+\frac{-\frac{8}{3}}{-\frac{8}{3}}\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{Simplify}[/tex]
[tex]\left(-\frac{8}{3}\right)\left(x+1\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{Factor\:}4[/tex]
[tex]4\cdot \frac{-\frac{8}{3}}{4}\left(x+1\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{Simplify}[/tex]
[tex]4\left(-\frac{2}{3}\right)\left(x+1\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{We\; can\; rewrite\:this\;as}[/tex]
[tex]4\left(-\frac{2}{3}\right)\left(x-\left(-1\right)\right)=\left(y-2\right)^2[/tex]

Comparing this with the standard form we get
[tex]\left(h,\:k\right)=\left(-1,\:2\right)[/tex]
[tex]\:p=-\frac{2}{3}[/tex]

The parabola is symmetric around the x-axis.

The focus lies a distance [tex]p[/tex] from the center [tex]\left(-1,\:2\right)[/tex] along the x axis

So focus is at
[tex]\left(-1+p,\:2\right)[/tex] [tex]=\left(-1+\left(-\frac{2}{3}\right),\:2\right)[/tex] [tex]=\bold{ \left(-\frac{5}{3},\:2\right)}[/tex]

The parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis at a distance -p from the center

[tex]x=-1-p[/tex]

[tex]x=-1-\left(-\frac{2}{3}\right) = \bold{-\frac{1}{3}}[/tex]

Answer: Total number of employees are employed by the store = 15 employees.

Step-by-step explanation:

The ratio of Full time employees to Not Full time employees would be 1 to 4.

Let, Full time employees F =1      

Not Full time employees N =4

We can write:

                                F/N = ¼

Cross multiply to get:

                                 N=4F

If 5 more Full time employees were hired, then the ratio would be 2 to 3.

This would be mean there are no (F+5) Full time employees.

Also there are still Not Full time employees.

We can write:

                             (F+5) / N = 2/3

Cross multiply to get:

                              3(F+5) =2N

Expand to get:

                               3F+15=2N

Replace N with 4F to get:      

                               3F+15=2(4F)

Solve to get:

                              3F+15=8F

                              15=8F-3F

                              15=5F

                                F=3

So, there are presently 3 Full time employees.

How many employees does the store have?

Since           F=3,

we can use the equation N=4F

To help find the value of N Replace F with 3 to get:

                              N = 4(3)

Solve to get:

                               N=12

So, Full time employees F=3    

Not Full time employees N=12

Then, Total number of employees = F+N

                                                         = 3+12

                                                         = 15.

Hence, Total number of employees = 15 employees.

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Answer:

2 [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

.10

change it to 10/100

reduce by 10

1/10

Answer: 2 1/10

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10^1(10). Next, add the whole number to the left of the decimal.

2 1/10

At 0.6% per year compound interest. Brian will get 6841.19 after 6 years.

The interest earned on savings that is computed using both the original principle and the interest accrued over time is known as compound interest.

It is said that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely computed on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

Based on the given conditions, formulate: 6600×(0.6%+1) 6

Evaluate the equation/expression: 6841.19264

Round the number: 6841.19

Answer: 6841.19

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The difference between the highest recorded temperature on Earth of 134 degrees Fahrenheit and the lowest recorded temperature of -128.6 is equal to 262.6 degrees Fahrenheit.

In mathematics, the difference can be described as the result of the subtraction of one numeral or value to another.

Hence the difference between the highest recorded temperature and the lowest recorded temperature on Earth can be found by the subtraction of the highest and lowest recorded temperatures.

The difference in the two temperatures = highest recorded temperature - lowest recorded temperature

Difference in Farenheit = 134 - ( -128.6)

Difference in Farenheit  = 134 + 128.6

Difference in Farenheit  = 262.6

Hence, the difference between the highest recorded temperature and the lowest recorded temperature is calculated to be 262.6 degrees fahrenheit.

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Answer:

A - Domain - [0,9] , Range - [0,3] , It represents a function because it passes the (vertical line test).

B - (0,0)

C - I'm not sure about this question but, If i would guess, (0,0) (9,3).

Step-by-step explanation:

For question C i think It means maximum and minimum points on the graph.

Im sorry if you get any of it wrong.

Answer:

True

Step-by-step explanation:

I'm assuming this is a true or false question, and so the answer is true. Because two negatives (-) equal a positive. So, 45,000 - (-800) actually is 45,00 + 800 because there was as subtraction sign and a negative sign.

Answer:

Step-by-step explanation:

45,000-(-800)=45,800

45,000-(-800) does =45,800

By the concept of Permutations and Combinations, we get:

Number of ways to distribute 5 dollar bills among three children = 21

and

Number of ways to distribute 5 dollar bills such that each child gets at least one dollar = 6

Given:

To find: (A) number of ways to distribute the dollar bills among the children

(B) number of ways to do the same if each child gets at least a dollar.

Finding:

By using the formula: [tex]\binom{n+r-1}{r-1}[/tex],

Number of ways to distribute 5 dollar bills among three children = [tex]\binom{5+3-1}{3-1} = \binom{7}{2}= \frac{7\times6}{2}[/tex] = 21 ways.

Similarly, upon modifying the above formula as: [tex]\binom{n-1}{r-1}[/tex],

Number of ways to distribute 5 dollar bills such that each child gets at least one dollar is =

[tex]\binom{5-1}{3-1}= \binom{4}{2}=\frac{4\times3}{2}[/tex] = 6 ways.

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Answer:

2b² + 2b

Step-by-step explanation:

b + 3b² + b - b²

= 3b² - b² + b + b

= 2b² + 2b

Answer:

[tex] \sf \: {2b}^{2} + 2b [/tex]

Step-by-step explanation:

Given expression,

→ b + 3b² + b - b²

Let's simplify the expression,

→ b + 3b² + b - b²

→ (3b² - b²) + (b + b)

→ (2b²) + (2b)

→ 2b² + 2b

→ 2b(b + 1)

Hence, answer is 2b² + 2b.

Answer:

184-70

=114

114/9.5

=12

Step-by-step explanation:

1. Needed points is 184 and rewards points was 70

2. So he need extra 114 points for free movie ticket

3. 114 divide by 9.5 which is earn piont for every time he buy ticket

The equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Marques has a points card for a movie theater. • He receives 70 rewards points just for signing up

Let x be the number of visits.

The linear equation can be framed as follows:

70 + 9.5x = 184

9.5x = 184 - 70

After solving the above linear equation in one variable:

9.5x = 114

x  = 12

Thus, the equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.

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Answer:

ksjsbs jsioeie jsisjbdbd

Step-by-step explanation:

Answer:

Step-by-step explanation:

For f (x):

f (x) = (x + 3) ^ 2 - 2

For x = -1

f (-1) = (-1 + 3) ^ 2 - 2

f (-1) = (2) ^ 2 - 2

f (-1) = 4 - 2

f (-1) = 2

For x = 3

f (3) = (3 + 3) ^ 2 - 2

f (3) = (6) ^ 2 - 2

f (3) = 36 - 2

f (3) = 34

AVR = ((34) - (2)) / ((3) - (- 1))

AVR = 8

For g (x):

linear graph with and intercept of negative 3 over 2 and x intercept of 3

y = mx + b

b = -3/2

For me we have:

0 = m (3) - 3/2

3m = 3/2

m = 1/2

The function g (x) is:

g (x) = (1/2) x - 3/2

For x = -1

g (-1) = (1/2) (- 1) - 3/2

g (-1) = -1/2 - 3/2

g (-1) = -4/2

g (-1) = -2

For x = 3

g (3) = (1/2) (3) - 3/2

g (3) = 3/2 - 3/2

g (3) = 0

AVR = ((0) - (- 2)) / ((3) - (- 1))

AVR = 1/2

For h (x):

Using the table we have:

AVR = ((62) - (14)) / ((3) - (- 1))

AVR = 12

Answer:

525

Step-by-step explanation:

f(x)=(x)(2x+5)

f(x)=2x^2+5x

f(15)=2*(15)^2 + 5*15

= 2*225 + 75

=450 + 75

=525

Answer:

When i24 is increased by 25% the answer is 30

[tex]\angle DAE \cong \angle DCF[/tex]

by CPCTC.

Answer:

-6a - 48

The distributive property states that for an expression a(b + c), it can be evaluated to ab + ac.

To distribute, expand the algebraic expression using the aforementioned policy.

[tex]-6(a+8)[/tex]

Multiply a and b together.

[tex]-6\times a=-6a[/tex]

Then, multiply a and c together.

[tex]-6\times8=-48[/tex]

Finally, add the two values together.

[tex]-6a+(-48)=-6a-48[/tex]

[tex]\boxed{\bold{-6a-48}}[/tex]

Hey there!

Distributive Property formula:

a(b + c)

= a(b) + a(c)

= a * b + a * c

= ab + ac

Your equation: -6(a + 8)

Solving:

-6(a + 8)

= -6(a) - 6(8)

= -6 * a - 6 * 8

= -6a - 48

Therefore, your answer should be:

-6a - 48

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer is 32.5 because the other ones isnt it

Answer: He can play 6 games

Step-by-step explanation:

40-10 = 30

30- 12 = 18

18- 8.50 = 9.50

9.50 divided by 1.50 = 6.3

The difference in the elevation between the canyon and the bird's nest is 737. 3 feet

From the information given, we have that;

Let's convert the mixed fractions to improper fraction;

= - 263/ 5 = - 52. 6 feet

789 3/ 10 = 7893/ 10 = 789. 3 feet

The difference in the elevation between the canyon and the bird's nest ;

= -52. 6 + 789. 9

= 737. 3 feet

Thus, the difference in the elevation between the canyon and the bird's nest is 737. 3 feet

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The objective observations are so important to science because they are helpful in removing bias.

Objective observations are simply the direct observation recorded by an observer. It does not contain any personal interpretation by the observer. So it can be considered as a bias less observation.

In a scientific study, objective observations are equal to facts. An objective observer will not have a predetermined mind. So that observation will not contain prejudice. That is why it is not biased. So an objective observation helps in removing bias. So they are important in Science.

The opposite of objective observation is subjective observation. In a subjective observation, there is a chance of personal interpretations.

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Answer:

Geometric.

Step-by-step explanation:

For example

2, 4, 8, 16

where the common ratio is 4/2 = 8/4 = 16/8 = 2.

The average rate of change for the function will be 234.

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The function is given below.

f(x) = 3ˣ + 17

The value of the function at x = 3 will be

f(x) = 3³ + 17

f(x) = 27 + 17

f(x) = 44

The value of the function at x = 6 will be

f(x) = 3⁶ + 17

f(x) = 729 + 17

f(x) = 746

Then the average rate of change for the function will be

Average rate = [746 - 44] / [6 - 3]

Average rate = 702 / 3

Average rate = 234

The average rate of change for the function will be 234.

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Answer:

28x-4

Step-by-step explanation:

Given

length (l)= 9x-4

Breadth (b) = 5x+2

Now

Perimeter (P) = 2(l+b)

=2(9x-4+5x+2)

=2(14x-2)

=28x-4

Answer:

A. y is more than are equal to 1

Step-by-step explanation:

range is y, lowest point is 1, highest is all real numbers, so range is anything more than 1

Answer:

B. y <= 1

Step-by-step explanation:

Because the function touches the point 1 on the y-line of the graph and goes upward into infinity, all values of y will be greater than or equal to one.

Answer:

102500

Step-by-step explanation:

The result can be shown in multiple forms.

Scientific Notation:

1.025

10

5

Expanded Form:

102500

6x² is the total area, in square feet, covered by the wood panels.

What is area?

So based on this, we can say that The expression to represent the total area, in square feet,

So, the wood panels is to be considered as the 6 ×  x² = 6x²

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Answer:

v < 2

Step-by-step explanation:

To solve this problem, start by adding 12 to each side of the inequality, to clear the -12 from the left side. 10 + (-12) is 2, so your answer is v < 2.

Hope this helps! Let me know if you have any confusion!