Glven the function f(x) = (x-2)2 + 13, what is the equation of the new
function if it is translated to the left 5 units and moved down 7 units.

Answer:

-14

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Based on what I understood from your question,

Value of x has been given = 12

So if we substitute or place that value in the given equation x + 7

=> 12 + 7 = 19

Hope I got it right.

Answer:

Step-by-step explanation:

y = kx ;

k = [tex]\frac{y}{x}[/tex] ; x = [tex]\frac{y}{k}[/tex]

~~~~~~~~~~~~~

k = [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]

[tex]y_{1}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 8 ) = - 4

[tex]y_{2}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 4 ) = - 2

[tex]y_{3}[/tex] = [tex]\frac{1}{2}[/tex] × 2 = 1

[tex]x_{5}[/tex] = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]x_{6}[/tex] = - [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{2}[/tex]

[tex]x_{7}[/tex] = 0

( x , y ) : ( - 8 , - 4 ), ( - 4 , - 2 ), ( 2 , 1 ), ( 1 , [tex]\frac{1}{2}[/tex] ), ( [tex]\frac{2}{3}[/tex] , [tex]\frac{1}{3}[/tex] ), ( - [tex]\frac{1}{2}[/tex] , - [tex]\frac{1}{4}[/tex] ), ( 0 , 0 )

Answer:

8.33 is keeps repeating

Step-by-step explanation:

Answer:

  d. √(1/(x+1))

Step-by-step explanation:

Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.

  [tex]\displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}[/tex]

At this point, you're supposed to know the factoring of the difference of squares:

  [tex]\displaystyle=\sqrt{\frac{x-1}{(x-1)(x+1)}}=\boxed{\sqrt{\frac{1}{x+1}}}[/tex]

the other solution is[tex]\frac{-9}{5}[/tex]

Answer:

Solution given:

[tex]5x^2 -11x-36=0[/tex]

doing middle term factorization

we need to get 11 by subtracting product of 5 and 36.

5*36=180=2*2*3*3*5

we get 11 by subtracting 5*2*2-3*3=20-9

substituting value of 11 as (20-9)

now

[tex]5x^2 -(20-9)x-36=0[/tex]open bracket

[tex]5x^2 -20x+9x-36=0[/tex]

taking common from each two terms

5x(x-4)+9(x-4)=0

again taking common

(x-4)(5x+9)=0

either

x-4=0

x=4

or

5x+9=0

5x=-9

x=[tex]\frac{-9}{5}[/tex]

Step-by-step explanation:

Following are the calculation to the given equation:

Given:

[tex]\to 5x^2 - 11x - 36 = 0[/tex]

one solution:

[tex]x=4[/tex]

To find:

other solution=?

Solution:

[tex]\to 5x^2 - 11x - 36 = 0\\\\\to 5x^2 - (20-9)x - 36 = 0\\\\\to 5x^2 - 20x+9x - 36 = 0\\\\\to 5x(x - 4)+9(x - 4) = 0\\\\\to (x - 4) (5x+9) = 0\\\\\to x - 4=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x+9 = 0\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = -9\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{-9}{5}\\[/tex]

Therefore, another solution is "[tex]-\frac{9}{5}[/tex]".

Learn more:

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Answer:

a)25%

b)5%

Step-by-step explanation:

hope it will help goodbye

Answer:

up to 232

Step-by-step explanation:

Let x = number of students

The number of bottles for the students is 2x since they give 2 bottles per student.

2x + 35 = 500

2x = 465

x = 232.5

Answer: 232

The relationship between sides DY, PY and DP is that they form a right-angled triangle.

The value of side length DY is 8 units

Side length DY can be calculated using the following Pythagoras theorem.

So, we have:

[tex]DP^2 =DY^2 + PY^2[/tex]

Substitute values for DP, DY and PY

[tex]10^2 =DY^2 + 6^2[/tex]

Evaluate the squares

[tex]100 =DY^2 + 36[/tex]

Subtract 36 from both sides

[tex]64 =DY^2[/tex]

Take square roots of both sides

[tex]8 =DY[/tex]

Rewrite as:

[tex]DY = 8[/tex]

Hence, the value of side length DY is 8 units

Read more about Pythagoras theorems at:

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Answer:

(1.5,-1)

Step-by-step explanation:

Answer:

(1.5), (-1)

Step-by-step explanation:

Answer:

the third answer, y= (1/3) x

Answer:y=(1/3)x

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

both angles added should equal to 90

x = 90-22

x = 68

CHECK

68+ 22

90

.˙. x is equal to 68

Answer:

It is still 549.5

Step-by-step explanation:

Rounding to 1 decimal place is just rounding by the tenth place

So it is still 549.5

Hope this helps!

18/42 and 2 and 14/42

Step-by-step explanation u need the 1/3 and ok im sry but i tried figuring it out but i d k

Answer:

y-4??

Step-by-step explanation:

Answer:

45 different sandwiches

Step-by-step explanation:

Answer: 15 degrees Celsius

Step-by-step explanation:

Sound travels fastest usually at 25 degrees Celsius when the air is hotter as physics professor Kim strong stated

• correct me if I'm wrong

Answer:

 OP = 84  

Step-by-step explanation:

The triangle is equilateral meaning all angles equal and all sides are equal.

5y - 6 = 4y + 12

y - 6 = 12

y = 12 + 6

y = 18

Now  

OP = 4y + 12

OP  =  4(18) +12

  OP = 84  

Answer:  Attached.

Step-by-step explanation:

Either solve the equations directly, or graph them and look for the point of intersection.  

The figure that comes next in the pattern below is option D.

Option D is the correct answer.

We have,

From the pattern,

The next figure must be a white figure.

Now,

We see that,

The two small figure inside the figure is moving in a clockwise direction.

So,

The next figure in the pattern is option D.

Thus,

The figure that comes next in the pattern below is option D.

Learn more about the pattern here:

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Answer: 2 pairs of parallel sides!

Step-by-step explanation:

Answer:

b=20

Step-by-step explanation:

-185-5=9b

-180=9b

=>b= -20

The system of linear inequalities represented by the graph is 2 < x < 3.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The dotted lines represents strictly less than or greater than inequalities.

Inequality 1 represents x > 2 and inequality 2 represents x < 3.

The combined inequality can be represented as 2 < x < 3.

learn more about inequalities here :

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[tex]\huge \sf༆ Answer ༄[/tex]

According to given figure ~

Area of whole is equal to :

And,

Area of Triangle :

Area of Rectangle :

Therefore, the Area of whole figure is ~

So, the Correct choice is ~ A

A.3n+4+3n+4+4n

=3n+3n+4n+4+4

=10n+8

B.11n+4+n-12

=11n+n+4-12

=12n-8

C.6(6n-2)

=36n-12

D.4(3n-2)

=12n-8

E.4n+22-12+8n

=4n+8n+22-12

=12n+10

so,B and D are the expressions that are equivalent to 12n-8.

Answer:

y= 2, x= -1   (-1, 2)

Step-by-step explanation:

y= x + 3

y= -x+1

substitute y= -x+1

-x + 1 = x + 3

isolate x

-x + 1 = x + 3

x + 1 - x = x + 3 - x

After isolating x you'll get x = -1

for y= - x + 1

y= - (-1) + 1

simplify y = 2

solution:

y= 2, x= -1   (-1, 2)

Answer:

pointsss

Step-by-step explanation:

Answer: 12.56 inches^2 or 4π inches^2 (depending on what format your answer needs to be in)

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex].

To find the radius (r), divide the diameter of 4 inches by 2. The radius is 2 inches.

Plug this into your equation to get [tex]\pi (2^{2} )[/tex], which can be simplified to 4π inches^2.

If you need your answer as a decimal, input 3.14 for [tex]\pi[/tex] to get an equation of 4 * 3.14. Multiply to get a final answer of 12.56 inches^2.