What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.​

Answer:

b

Step-by-step explanation:

it doesn't go to the y or x axis so  B is it

Answer:

8x  = 39.62 - 6.74

Step-by-step explanation:

Cost of 1 bag of lemons = $ x

Cost of 8 bags of lemons = 8 *x = 8x

Cost of 8 bags of lemons = Total cost - cost of the eggs

                              8x           = 39.62 - 6.74

Answer:

3.

Step-by-step explanation:

[tex]x + y = 39.62 \\ x = 6.74 \\ y = \frac{39.62 - 6.74}{8} [/tex]

Answer:

x = -4

Step-by-step explanation:

-2(3x - 4) - x - 3 = 33

~Simplify

-6x + 8 - x - 3

-7x + 5 = 33

~Subtract 3 to both sides

-7x = 28

~Divide -7 to both sides

x = -4

Best of Luck!

Answer:

x = -4

Step-by-step explanation:

-2(3x - 4) - x - 3 = 33

solve the brackets first

-6x + 8 -x -3 = 33

-6x - x + 8 - 3 = 33

-7x + 5 = 33

-7x = 33-5

-7x = 28

x = 28/ -7

x = -4

Step-by-step explanation:

6x - 3x^2 + 2x^2 -2x = 5x^2 + 15x

4x -x^2 = 5x^2 + 15x

-11x - 6x^2 = 0

-6x^2 - 11x = 0

use the quadratic formula

(-b±√(b²-4ac))/(2a)

Answer:

total area = 99m² + 39.4m²

= 138.4m²

Answer:

A

Step-by-step explanation:

We are given the function:

[tex]f(x) = x^2 - 4x[/tex]

And we want to find:

[tex]\displaystyle f(2b^2)[/tex]

Substitute:

[tex]\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)[/tex]

And evaluate:

[tex]\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}[/tex]

In conclusion, our answer is A.

Answer: y = -1/2x

8(x - 2y) = 16x

8x -16y = 16x

-16y      = 16x-8x

-16y      = 8x

-16y/-16= 8x/-16

        y = -1/2x

C.-3/4................

Answer:

56

Step-by-step explanation:

There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56

[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

12 Points

Step-by-step explanation:

Answer:

This was a little tricky but the answer is 2 7/16

Step-by-step explanation:

15

16

+

3

2

=  

15

16

+

3 × 8

2 × 8

=  

15

16

+

24

16

=  

15 + 24

16

=  

39

16

=  

2 7/16

Answer:

All I can say is that it isn't linear, as the number would then be the same every year

Answer:

B. exponential; y= 91 * 0.77x

Step-by-step explanation:

The Answer is A.

y=91*0.77^x

I just substituted the x on all of them and only one got the corrct y which is A.

Answer: 31.5

Step-by-step explanation:

Answer: 31.5

Concept:

When encounter questions that ask for operation on algebraic expressions, using BODMAS or PEMDAS method would be easier. Since this question asked for using BODMAS, then it is:

Solve:

Given

2 × 3 + 45 ÷ 2 - 6 + 9

Simplify by division

=2 × 3 + 22.5 - 6 + 9

Simplify by multiplication

=6 + 22.5 - 6 + 9

Simplify by addition

=28.5 + 9 - 6

=37.5 - 6

Simplify by subtraction

=31.5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a but

Step-by-step explanation:

i think a

Answer:

Yes it is

Step-by-step explanation:

when you add up all parts of a triangle they are equal to 180

Answer:

yes

Step-by-step explanation:

the sum of interior angles of a triangle is = to 180 degrees.(It's a geomatory theorem)

Answer:

Step-by-step explanation:

17*4=68

68-18=50

50-15=35

35-16=19

19

Hi :)

f(r) = 3.14r2

f(7) = 3.14(7)(2)

f(7) = 43.96

Answer:

B

Step-by-step explanation:

Looking at the graph, we can see that g(x) is a compressed version of f(x) in the x direction but stretched in the y direction. We know that it is compressed because the values of g(x) are inside of f(x) in the x direction, and that it is streched because the values of g(x) are higher than the values of f(x) in the y direction.

Next, we want to figure out how much g(x) is a compression/stretch of x.

In the y direction, at x=1, y=1. At x=3, y=9. The ratio between the y values is 9/1 = 9, so in the y direction, the graph is streched by 9.

A stretch in the y direction can be represented by kf(x), with k representing how much the graph is stretched. In our example, k=9, so we have

kf(x) = 9f(x) = 9(x²) = 9x². This is equal to (3x)² = 9x², or B

In the x direction,  at x=1, y=1. At x=3, y=9. The ratio between the x values is 3/1 = 3, so in the x direction, the graph is compressed by 3.

f(kx) represents a compression by a factor of k in the x direction, and k =3 here, so we have

f(kx) = f(3x) = (3x)² = 9x² = B

Answer:

44

Step-by-step explanation:

n = pattern number

9n - 1 = number of tiles

Number 5 = 9n - 1

= 5 x 9 - 1

= 45 - 1

= 44

The pattern will have 54 tiles after the fifth day

To determine the pattern, let's find the difference between the number of tiles on consecutive days:

Difference between Day 2 and Day 1: 8 tiles - 0 tiles = 8 tiles

Difference between Day 3 and Day 2: 20 tiles - 8 tiles = 12 tiles

Difference between Day 4 and Day 3: 35 tiles - 20 tiles = 15 tiles

Notice that the difference between the number of tiles on consecutive days is increasing by 4 each time (8, 12, 15).

Now, let's use this difference to find the number of tiles after the fifth day:

Difference between Day 5 and Day 4: 15 tiles + 4 tiles = 19 tiles

Number of tiles after the fourth day: 35 tiles

Number of tiles after the fifth day: 35 tiles + 19 tiles = 54 tiles

So, the pattern will have 54 tiles after the fifth day.

Learn more about pattern at https://brainly.com/question/13628676

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Answer:

Brainliest, please! (Answer below)

Step-by-step explanation:

The basic form for any quadratic function is:

ax^2 + bx + c.

The constant of the 1st term, the x^2 constant, is a, the constant of the second term, the x constant, is b, and the constant, the third term, is c. There are some instances where there will not be a b or c. For example, x^2 + 2, or 3x^2 - 4x. However, there must always be an a, or else the function isn't quadratic.

Answer:

[tex]{ \underline{ \sf{6y = x + 1 }}}[/tex]

Step-by-step explanation:

[tex]y = mx + c[/tex]

m is slope

c is y intercept.

at x-intercept, y = 0

[tex]0 =( \frac{1}{6} \times - 1 )+ c \\ \\ c = \frac{1}{6} [/tex]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is 6y=x+1.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given that the slope of the equation of the line is 1/6, while the x-intercept is at -1. Therefore, if we substitute the coordinate of the intercept and the slope in the equation in the general equation of the line. We will see,

y = mx + c

0 = (1/6)(-1) + c

0 = -1/6 + c

c = 1/6

Now, the equation of the line can be written as,

y = (1/6)x + (1/6)

y = (x/6) + (1/6)

y = (x+1)/6

6y = x + 1

Hence, the equation of the given line is 6y=x+1.

Learn more about Equation of Line here:

https://brainly.com/question/21511618

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Answer:

91 short stories

Step-by-step explanation:

You just add 1 + 2 + 3 + 4 + 5 + 6... all the way to 13, and then at the end of 16 months, Troy still only wrote 91 stories since he only wrote them up until 13 months, and  then stopped afterwards.

Answer:

Step-by-step explanation:

Sin (A +  B) = Sin A *Cos B + Cos A *Sin B

Sin 75 = Sin (30 + 45)

           = Sin 30 * Cos 45 + Cos 30 * Sin 45

           [tex]= \dfrac{1}{2}*\dfrac{1}{\sqrt{2}}+\dfrac{\sqrt{3}}{2}*\dfrac{1}{\sqrt{2}}\\\\\\= \dfrac{1}{2\sqrt{2}}+\dfrac{\sqrt{3}}{2\sqrt{2}}\\\\= \dfrac{1+\sqrt{3}}{2\sqrt{2}}[/tex]

In one hour Randy cleans at least 1/4 of the offices and in one hour Trey cleans at least 1/6 of the offices.

Working together they would clean at least 1/4 + 1/6 = 5/12 of the offices.

Let x be the greatest amount of time it would take them to clean the offices together. Then we can write the following equation:

5x/12=1

[tex]180^o-130^o=50^o\\\\90^o+50^o=140^o\\\\x=180^o-140^o\rightarrow\boxed{x=40^o}[/tex]

reflection in the x axis

x,y=x-y

-2,2

2,-2

-1,4

1,-4

3,4

3,-4