what is the slope between these 2 points?
(-4,5) and (2,1)

-3/4
-2/3
3/8
-1/5

Answer:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Step-by-step explanation:

Firstly, divide all parts of the equation by 3:

[tex]3x^3 + 3x^2-36[/tex]

[tex]3(x^3 + x^2-12)[/tex]

Now focus on the equation:

[tex]x^3 + x^2-12[/tex]

We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:

1 12

2 6

3 4

1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:

[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]

We can confirm this is simplified by multiplying together:

[tex](x - 2) (x^2 + 3x + 6)[/tex]

[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]

= [tex]x^3 + x^2 - 12[/tex]

Meaning it is simplified.

Now, put the equations together:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Hope this helps!

Answer:

0

2

4

6

8

Step-by-step explanation:

f(x) = 2x

f(0) = 2 * 0 = 0

f(1) = 2 * 1 = 2

f(2) = 2 * 2 = 4

f(3) = 2 * 3 = 6

f(4) = 2 * 4 = 8

The complete table of the linear function f(x) = 2x for x = 0 to 4 is:

x     0   1    2   3  4  

f(x)  0   2   4   6   8

The function is given as:

f(x) = 2x

When x = 0, we have:

f(0) =2(0) = 1

When x = 1, we have:

f(1) =2(1) = 2

When x = 2, we have:

f(2) =2(2) = 4

When x = 3, we have:

f(3) =2(3) = 6

When x = 4, we have:

f(4) =2(4) = 8

So, the complete table is:

x     0   1    2   3  4  

f(x)  0   2   4   6   8

Read more about linear functions at:

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YOUR INPUT:

[tex]T-Re^{x}[/tex]

FIRST DERIVATIVE:

 [tex]\frac{d}{dx} [T-Re^{x} ]\\=\frac{d}{dx} [T]-R*\frac{d}{dx} [e^{x} ]\\=0-Re^{x} \\=-Re^{x}[/tex]

Root/zero found at:

[tex]x=ln(\frac{T}{R} )[/tex]

Answer: y = 3x - 1

Step-by-step explanation:

y = 3x + c

-1 = 3(0) + c

-1 = 0 + c

-1 - 0 = c

-1 = c

y = 3x - 1

9514 1404 393

Answer:

  3.5 hours

Step-by-step explanation:

The separation distance is increasing at the rate of 20 mph + 60 mph = 80 mph. It will be 280 miles after ...

  time = distance/rate

  time = (280 mi)/(80 mi/h) = 3.5 h

The two cars will be 280 miles apart after 3 1/2 hours.

Based on her commission percentage, Janice was able to earn $441 in commission which translates to $88.20 per hour

The commission that Janice earned is found by:

= Commission percentage x Value of trip booked

= 7% x 6,300

= $441

The amount she earned per hour is therefore:

= Commission earned / Number of hours worked

= 441 / 5

= $88.20

In conclusion, Janice earned $441 in commission and earned $88.20 per hour.

Find out more at https://brainly.com/question/14473634.

The rest of the question is:

a. How much commission did she earn?

b. What was her mean hourly pay for the work she did?

Answer:

2924

Step-by-step explanation:

2752 ÷ 16 = 172 ← number of points per coin

After collecting 17 points he will have collected

2752 + 172 = 2924 points in total

Answer:

2924

Step-by-step explanation:

Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:

[tex]\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9[/tex]

Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is

y - 5 = 9 (x - 1)

y = 9x - 4

The equation of "tangent-line" to the curve "y = 6x² - x³" at the point (1, 5) is : y = 9x - 4.

To find the derivative of the function f(x) = 6x² - x³, we differentiate each term with respect to x:

f(x) = 6x² - x³,

f'(x) = d/dx (6x²) - d/dx (x³),

f'(x) = 12x - 3x²,

Now, we need to find f'(1), which means evaluating derivative at x = 1;

f'(1) = 12(1) - 3(1)²,

f'(1) = 12 - 3,

f'(1) = 9,

The slope of tangent-line at point (1, 5) is given by f'(1), which is 9;

Using the point-slope form of equation of line (y - y₁ = m(x - x₁)), where m = slope and (x₁, y₁) is the given point (1, 5);

⇒ y - 5 = 9(x - 1),

Simplify the equation:

⇒ y - 5 = 9x - 9,

⇒ y = 9x - 4,

Therefore, the required equation of tangent-line is y = 9x - 4.

Learn more about Tangent Line here

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#SPJ3

Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.

Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:

The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.

Therefore, the annual Federal Tax deduction is $ 3,189.68.

Learn more in https://brainly.com/question/25225323

Answer:60

Step-by-step explanation:The measure of 1 is 60 because it's only half the size of 120

Answer:

yo soy inteligente

Step-by-step explanation:

pero no me se la respuesta de la perunta

a. The product of 5 and the sum of a number and 8

Product means multiplied, so that means 5 multiplied by some number plus 8, thus, 5(x+8)

b. A number less than 12

12-x would equal less than

c. The product of five and a number divided by 2

Again, product means multiplied, so its saying 5 times something, all divided by 2, thus, 5x/2

Please give brainliest :) hope this helps!

Answer:

A number less than twelve = 12 - x = b

The product of five and a number divided by two = 5x/2 = c

The product of five and the sum of a  number and eight = 5(x+8) = a

Step-by-step explanation:

A number less than twelve

12 minus a number

12 - x

The product of five and a number divided by two

A number times 5 divided by 2

5x/2

The product of five and the sum of a  number and eight

A number plus 8 times 5

(x+8)*5

5(x+8)

Answer:

Non veg se mujhe Run movie ka kawuaa biryaani yaad aa gya

Step-by-step explanation:

Accha bhai koi mujhe batao  

Pahle murgi ya anda  

Wait your answer

is that all of the question?

Everyone uses this sofware to develop there decent knowledge about different courses that are best taught by Artificial Intelligence (A.I.).

Answer:

100x^2-36=4(5x+3)(5x-3)

Answer:

A is better, you pay 0.015 less than option B.

Step-by-step explanation:

1 gallon = 128 oz so:

3 x 128 =  384 oz

9.60 / 384 = $0.025 per oz

16.00 / 400 = $0.04 per OZ

Answer:

A New Element

Answer:

x + 5 + 5x + 10 + 2y = 6x + 2y + 15

Step-by-step explanation:

Group like terms

= x + 5x + 2y + 5 + 10  

Add the number 5 + 10 = 15  

= x + 5x + 2y + 15

Add similar elements x + 5x = 6x  

= 6x + 2y + 15

Have a good day :)

Answer:

1. 2/5

2. 3/20

3. 6 1/9

4. 1/5

5. 11

6. 1

7. 3/13

8. 1 5/11

9. 2

10. 6 1/2

11. 20/27

12. 2 3/16

13. 4 13/18

14. 1 45/98

Hope this helps!

Step-by-step explanation:

Answer:

C) Exponential

Step-by-step explanation:

If you divide the consecutive y-values, you'll get a consistent result of 2:

16/8 = 2

8/4 = 2

4/2 = 2

2/1 = 2

This type of pattern corresponds to an Exponential Function.        

Answer:

-1 ,-1/2 , -3/4 , -1 /4, -5 / 8 , -7 / 8 , -13 / 16, 0.

Step-by-step explanation:

Step-by-step explanation:

yes , all constant are like terms.