Someone please help me.

Answer:

[tex] \boxed{\sf f(2a - 3) = 12a - 20} [/tex]

Step-by-step explanation:

Function given:

⇒f(x) = 6x - 2

Substitute 2a - 3 into the function in place of x:

⇒f(2a - 3) = 6(2a - 3) - 2

Expand bracket:

⇒f(2a - 3) = 12a - 18 - 2

Add the like terms:

⇒f(2a - 3) = 12a - 20

Hey there! I'm happy to help!

Let's plug in these values.

(x+5)(x-7)

We use the FOIL method to multiply the two.

We multiply the Firsts.

x·x=x²

We multiply the Outsides.

-7·x=-7x

We multiply the Insides.

5·x=5x

And we multiply the Lasts.

-7·5=-35

We combine these all.

x²-7x+5x-35

x²-2x-35

Have a wonderful day! :D

I think first one is the answer

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Answer:

13, 25, 37, 41

Step-by-step explanation:

By plugging each x value given for x, you are able to solve for y. Just multiply x by 4 and add 1.

Answer:

thousanths place

Step-by-step explanation:

Answer:

4.105

5-hundredths place if I’m correct

Answer:

The ratio is   k  =   2.76 pounds /  foot

Step-by-step explanation:

From the question we are told that

   For  1 m  height  =>  4.10 kg mass

generally  1 meter = 3.28084 feet  

Also

  1 kg  = 2.20462 pound

  4.10 kg  =  x pounds

So

      [tex]x = \frac{4.10 * 2.20462}{1 }[/tex]

=>    [tex]x = 9.04 \ pounds[/tex]

So

        9.04 pounds  = 3.28084  feet  

         z pounds  =  1 foot

So  

       [tex]z = \frac{ 9.04 * 1 }{ 3.28084}[/tex]

=>   z = 2.76 pounds

So the ratio is in pounds per foot is

      k  =   2.76 pounds /  foot

Answer:

15/28

Step-by-step explanation:

Step-by-step explanation:

3/7 divided by 4/5

Find the reciprocal of 4/5 which is 5/4

Multiply 3/7 by 5/4

3*5= 15 which is the numerator

7*4=28 which is the denominator

so the final answer is 15/28

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

Because no matter what value x is, y is always 4

Step-by-step explanation:

First, is 0 greater than -2? Correct

Next, is 6 greater than -12? Correct

Is -7 less than -5? Correct

Finally, is -5 less than -8? NERP!!

So C. is incorrect. Or in this case, it is...

Answer:

Unit selling price

$7 $9 $7

Unit variable costs

(4) (5) (1)

Unit contribution margin

$3, $4, $6

With monthly fixed costs of $306,000, the company sells two units of A for each unit of B and three units of B for each unit of C.

Answer:

NO ! For 30, the answer is: No, 30 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 30) is as follows: 1, 2, 3, 5, 6, 10, 15, 30.

Step-by-step explanation:

Answer: Zero Property

Step-by-step explanation:

Answer:

x=10000

Step-by-step explanation:

The break even point occurs when costs equal revenue. Write the break-even formula and solve to find

C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.

Answer:

84 lbs

Step-by-step explanation:

Multiply 14*6 to get the total weight

Answer: B. M= 6

Step-by-step explanation:

4(6-1)-5=2(6)+3

The first part of the equation, 4(6-1)-5, 6-1 is 5 and then you multiply that 5 by 4 and get 20, and subtract 5 from 20 and get 15. The second part, 2(6)+3, 6 x 2 is 12 and then you add 3 which equals 15. 15=15 so the answer is correct

For the function   [tex]\frac{10}{x + 5}[/tex]  , we can say

The domain of f(x) is (–∞, –5) U (–5, ∞).

The y-intercept is (0, 2).

There is a vertical asymptote at x = –5.

The end behavior is  x → –∞, f(x) → 0 and x → ∞, f(x) → 0.  

A mathematical relationship from a set of inputs to a set of outputs is called a function.

The domain of a function is the set of all possible inputs for the function.

The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs

An asymptote is a straight line that can be horizontal, vertical or oblique that goes closer and closer to a curve which is the graphic of a given function.

The given function is  [tex]\frac{10}{x + 5}[/tex]  

Now, if x = -5 then the function becomes undefined.

∴ The domain of the function is all real numbers except -5

So, The domain of f(x) is (–∞, –5) U (–5, ∞).

So, option a is correct.

Clearly, the range of the function includes all real numbers

So, option B is wrong

To find the x-intercept , we will have to solve f(x) = 0,  which is not at all possible for this function.

So, option C is wrong

So, putting x = 0 in the function we get f(x) = 2

So, the y- intercept is (0, 2).

So, option D is correct.

∴ x+ 5 = 0

∴ x = -5

So, there is a vertical asymptote at x = –5.

Hence option E is correct.

We can see,

So, as x tends to -∞, f(x) will tend to 0

So, Option F is correct.

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Answer:

ADEF

Step-by-step explanation:

ADEF

Answer:

The permeter will be 26 units

Step-by-step explanation:

First to find this you need to know what the value of x is to do this I will use the equation 3x - 7 = x + 2

1. add seven to both sides leaving 3x = x + 9

2. Then subtract the 1x from both sides leaving 2x = 9

3. Then divide 9 by 2 which will be 4.5, x = 4.5

Then just plug 4.5 into each x value 4.5 + 2 and 3(4.5) - 7

1. 4.5 + 2 = 6.5

2. 3(4.5) - 7              13.5 - 7 = 6.5

The perimeter of the rectangle below in simplest form will be 4(x - 3).

Length of the rectangle = 3x - 7

Width of the rectangle = x+2

The perimeter of a rectangle is given as 2(length + width). The perimeter of the rectangle given will then be:

= 2(length + width)

= 2(3x - 7) + 2(x + 2)

= 6x - 14 + 2x + 4

= 4x - 12 = 4(x - 3)

Therefore, the perimeter of the rectangle in simplest form will be 4(x - 3).

Read related link on:

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Answer:

-24r + 56

Step-by-step explanation:

To find the area of this rectangle we multiply width and length

8 × (-3r + 7) = -24r + 56

Answer:

x=72

Step-by-step explanation:

Start with [tex]\frac{x}{3}[/tex]=24

Using the multiplication property of equality, multiply each side by 3

x=72

Answer:

Width is 3 units, The Length is 9 units.

Step-by-step explanation:

Three times as much as 3, or 9, is how you find the lengths. This being- 3+3=6 and 9+9=18, 6+18=24, which is the perimeter, therefore 3 and 9 are the dimensions.

Answer:

0.02<x<0.80

0.4

Step-by-step explanation:

0.02 is equal to 2/100 and 0.8 is equal to 80/100

so you could really choose any number between 0.03 and 0.79

Answer:

Less than 0.8 and greater than 0.02

0.8 > a > 0,02

There are many decimals:

0.7

0.67

0.6

0.5

0.4

0.3

0.2

0.1

0.023

0.021

and many others

Answer: Equation 2

Step-by-step explanation:

Equation 1 Square of residual .28 .167 .19

Sum of Square Residual :

( .28 + .167 + .19) = 0.637

Equation 2 Square of residual .005 .110 .09

Sum of Square Residual :

(.005 + .110 + .09) = 0.205

Equation 3 Square of residual .125 .125 .26

Sum of Square Residual :

( .125 + .125 + .26) = 0.51

Equation 4 Square of residual .212 .009 .08

Sum of Square Residual :

( .212 + .009 + .08) = 0.301

Equation 2 is the best potential line of best fit as it has lowest value of sum of square residual. And the best line of fit is one which the sum of Squared error is lowest.

Answer:

A) 36.2m  B) 70m

Step-by-step explanation:

5.6m + 5.6m = 11.2 m

12.5 + 12.5= 25  11.2 + 25 = 36.2m

Length x width equals area

12.5m = length and 5.6m= width

multiply 12.5 x 5.6= 70m

OMG! I just answered the wrong question... so sorry

Answer:325 - (25 x 6 ) = $175

Step-by-step explanation:

Answer:

79.8260869565

Step-by-step explanation:

When dividing 1,836 by 23= 79.8260869565

Answer:

x = 20

Step-by-step explanation:

[tex] \because \overrightarrow {CE}[/tex] is an angle bisector of[tex] \angle ACB. [/tex]

[tex]\therefore m \angle ACE = m \angle ECB\\ 2x - 15 = x + 5 \\ 2x - x = 15 + 5 \\ \huge \orange{ x = 20}[/tex]

The value of x from the angle bisector is: x = 20

Angle bisector theorem is a theorem in geometry that states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.

Thus, we can say that:

∠ECB = ∠ACE

Thus:

x + 5 = 2x - 15

2x - x = 15 + 5

x = 20

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