Solve the equation for x.

x=

Answer:

Given

f(x) = 3x + 2

g(x) = (x + 3) / (2x - 10)

#1

g · f(x) =

g(f(x)) =

(3x + 2 + 3)/ (2(3x + 2) - 10) =

(3x + 5) / (6x - 6)

#2

f · g(x) =

f(g(x)) =

3[(3x + 2) / (2x - 10)] + 2 =

(9x + 6) / (2x - 10) + 2 =

(9x + 6 + 4x - 20)/ (2x - 10) =

(13x - 14) / (2x - 10)

Step-by-step explanation:

Answer:

A. The graph decreases from left to right

Answer:

x= -4.284 and y= 1.432

Step-by-step explanation:

Answer:

A = 3 B + 3x

B = - X + A/3

Step-by-step explanation:

X = - B + A/3

Answer:

y = -1/5x + 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.

b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.

Answer:

There are three answers

Step-by-step explanation:

B is the image of D

B is the image of E

C is the image of D

Answer:

B is the image of D

B is the image of E

C is the image of D

Step-by-step explanation:

9514 1404 393

Answer:

  √40 ≈ 6 4/13 ≈ 6.31

Step-by-step explanation:

The estimate by linear approximation starts with the recognition that ...

  40 = 36 +4 = 6² +4

and the difference from 36 to the next square, 7² = 49 is 49-36 = 13.

The linear approximation to √40 is ...

  √40 ≈ 6 4/13 ≈ 6.31

__

There are various methods for improving this approximation. Perhaps the fastest improvement is obtained using the "Babylonian method." The next iteration is the average of this value and 40 divided by this value.

  (82/13 +40/(82/13))/2 = 6 173/533 ≈ 6.3246 . . . . accurate to 4 decimal places

_____

Additional comment

When you write the value in terms of a square and a remainder:

  n = s² +r

then the above linear approximation of √n can be written as ...

  √n ≈ s +r/(2s+1)

Using the idea that a square root can always be represented by a continued fraction, we can continue the fraction one more iteration to give a slightly better approximation:

  √n ≈ s +r(2s+1)/(2s(2s+1) +r)

For the case at hand, this gives √40 ≈ 6+52/160 = 6 13/40 = 6.325, accurate to 3 decimal places. Additional iterations using the continued fraction idea can be had using ...

  n'' = s + r/(s +n') . . . . . where n' is an approximation of the root and n'' is a better approximation. This does not converge as fast as the Babylonian method, but may be easier to calculate on some calculators.

Answer:

See explanation

Step-by-step explanation:

If we have a polynomial in x with x as a factor, we know that there will be no constant term. This arises because every term will be a multiple of x, and thus there will be know constant term.

Because there is a constant term in our polynomial, namely 1, x is not a factor of [tex]2x^3-x^2-2x+1[/tex], as desired.

Answer: You divide using polynomial long division or synthetic division and if the remainder is 0 then it is a factor.

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

the pattern is dividing by -4. so divide -1 by -4 and you get 0.25.

Answer:

22.5

Step-by-step explanation:

8hrs=220

1hr=220÷8

1hr=22.5

According to the question,

The worker makes,

then,

Per hour, worker will make,

→ [tex]1 \ hour = \frac{220}{8}[/tex]

By applying division, we get

→ [tex]1 \ hour = 22.5[/tex]  

Thus the solution above is appropriate.

Learn more about interest rate here:

https://brainly.com/question/2254494

Answer:

1:9

Step-by-step explanation:

that's how you write scale

Answer:

Step-by-step explanation:

-1

Answer:

-1 5/12

Step-by-step explanation:

1 1/2+3/4÷(−1/3)−2/3

3/2-2/3+3/4*3/-1

9-4/6-9/4

5/6-9/4

20-54/24

-34/24

-17/12

-1 5/12

Answer:

the function is odd

Step-by-step explanation:

functions that are symmetric with respect to the y axis are even functions

functions that are symmetric with respect to the origin (the 0,0 point) are odd functions (which means that if you flipped it 180 degrees it will still look the same)

have a nice day!

Answer:

Step-by-step explanation:

24 divided by 3 is 8 so 8 times 2 is 16 the answer is 16

Answer:

7:46

Step-by-step explanation:

The clock says 9:20. I am assuming that the question is related to the clock on the left. It asks for the time an hour and 34 minutes ago. One hour from 9:20 is 8:20. Now we work with the minutes. 8:20 minus 34 minutes is 7:46.

Answer:

7:46

Step-by-step explanation:

Answer: -2 pi, -4.5, -3 5/6, -8/3, square root of 16

Step-by-step explanation:

The number which would be the smallest would be the largest negative number sense its farthest from 0 and the greatest would by the biggest positive number in this case being square root of 16.

square root of 16 is 4 sense (4 times 4 is 16)

-8/3= -2.67

-2 pi= -6.28

-3 5/6= -3.834

Answer:

0.75"

Step-by-step explanation:

4.5÷6

please mark me brainliest

[tex]k(x) \times f(x)[/tex]

[tex](2x + 5) \times (x - 1)[/tex]

[tex]2 x(x - 1) + 5(x - 1)[/tex]

[tex] ({2 x }^{2} - 2x) + (5x - 5)[/tex]

[tex] {2x}^{2} - 3x - 5[/tex]

________________________________

[tex]k(x) \times g(x) \times f(x)[/tex]

[tex]g(x) \times (k(x) \times f(x))[/tex]

[tex] ({6x }^{2} - 4x + {3x}^{4} ) \times ( {2x}^{2} - 3x - 5)[/tex]

[tex] {6x}^{2} ( {2x}^{2} - 3x - 5) - 4x ( {2x}^{2} - 3x - 5) + {3x}^{4} ( {2x}^{2} - 3x - 5)[/tex]

[tex]12 {x}^{4} - 18 {x}^{3} - 30 {x}^{2} - {8x}^{3} - 12 {x}^{2} - 20x + {6x}^{6} - 9x {}^{5} - {15x}^{4} [/tex]

Answer:

slope-intercept is 5/6x, y intercept is 5 and x intercept is -6

Step-by-step explanation:

-5x+6y=30

first you are going to move your thirty to the other side of the equation so your going to minus 30 from both sides.

-5x+6y(-30)= 30(-30)

-5x+6y-30=0

then move your y to the other side of the equation

-5x-30=6y

divide by 6 to get y alone

-5/6x -(30/6)=y

-5/6x-5=y

therefore your slope is 5/6x, your y intercept is 5 and your x intercept is -6

Answer:

Step-by-step explanation:

24

Answer:

2.05

Step-by-step explanation:

1.25 + 0.8= 2.05 but if your doing multiplication then it would be 1 just 1.

Step-by-step explanation:

20-16/16 x100

4/16 X 100 = 25%

Answer:

23

Step-by-step explanation:

4*5 =20

15/3 = 5

8-5 = 3

3+20=23

8(-15/3)+(4*5)

Answer:you would spend 36 dollars and would have 4 dollars left, you would spend 16 dollars on ham and 20 on turkey

Step-by-step explanation:

Answer:

she bought 14 i belieive.

Answer:

12

Step-by-step explanation: