f(x) = = -x + 9
g(x) = x2 - 6x + 9
What is the value of g(f(0))

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Explanation:

Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent

x^4 turns into x^12

y^1 turns into y^3

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This is one way to show your work

(x^4y)^3

(x^4y^1)^3

x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent

x^12y^3

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A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.

(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)

(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)

(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )

(x^4y)^3 = x^12y^3

Answer:

The domain is (-∞,∞)

The range is [0,∞)

Step-by-step explanation:

The graph will be a V shape facing upwards with a vertex of (-6,0)

Answer:

Domain = (-∞,∞)

Range = [0,∞)

Step-by-step explanation:

Answer:

5/4 is the slope

Step-by-step explanation:

y= 5/4c- 7/4

This is in the slope intercept form

y = mx+b where m is the slope and b is the y intercept

5/4 is the slope and -7/4 is the y intercept

Answer:

5/4

Step-by-step explanation:

This equation is in slope intercept form (y=mx=b) so when interpreting the information we see that the slope is 5/4.

y = y

m = slope

x = x or in this case they use c

b = y intercept

This equation represents a line that intercepts at -7/4 and has a slope of 5/4. This can be checked by plugging in any point on the line for x and y.

Hope this helps!

Answer:

- 3a -16b

Step-by-step explanation:

Answer: (5,7)

Step-by-step explanation:

We want to find the image of a point after a given translation.

The image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)

First, we can define how a general translation T(a, b) affects a general point (x, y).

It will add a units to the x-value and b units to the y-value, then we have:

T(a,b)[(x, y)] = (x + a, y + b).

Now we just need to apply the translation:

T(3, -4) to the point (-5, 2)

It gives:

T(3, -4)[(-5, 2)] = (-5 + 3, 2 + (-4)) = (-2, -2)

So the image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)

If you want to learn more, you can read:

https://brainly.com/question/16874971

Answer:

Rate = 3/5 bucket / 1/2 hour

= 6/5 or 1 1/5 buckets per hour

Answer:

the newer moat is 169 cm longer than the older one

Step-by-step explanation:

in order to find the difference in length of the two castles, we will first find the perimeters of the two castles then calculate the difference in the perimeters:

old castle:

dimension = 484cm by 386cm

perimeter = 484 + 386 = 870 cm

new castle:

dimension = 725cm by 314cm

perimeter = 725 + 314 = 1039 cm

difference =  1039 - 870 = 169 cm

The total length of the moats used is equals to the perimeter of the sand castles, therefore, the newer moat is 169 cm longer than the older one.

Answer:

Look I know I'm about 2 1/2 years late but the answer is not 169 or whatever the person above me said, it's 660 I answered this before.

Answer:

1947 units^2

Step-by-step explanation:

you can split it up into different sections of rectangles.

the first one is 25x39= 975

The second section is the connector which you do

43-25=18

and you do 39-27=12 and then

you multiple 18x12 which equals 216

and the final section you do 24+12=36

and 36x21=756

and finally you add them all up to equal 1947 units^2

Answer: 5.5 yd

Step-by-step explanation:

To find the side length of the cube, the volume is a clue. We know that all sides of a square are equal, and the volume of a cube is length×width×height. Since the length, width and height are all the same, we know it is V=x³. Since we know the volume, we can plug in and solve for x.

166=x³

In order to get x alone, we have to cube root both sides.

x≈5.5 yd

Answer:

point c

Step-by-step explanation:hope it helps

Which point represents 2 1/4 on the graph?

B: Point C

Answer:

Step-by-step explanation:

In order to know the two factors we are to multiply together to get the trinomial function 5x² + 8x – 4, we need to factorize the quadratic function given. On factorizing;

[tex]= 5x^{2} +8x-4\\= (5x^{2} +10x)-(2x-4)\\\\factoring\ out\ the\ common\ term\\= 5x(x+2)-2(x+2)\\= (5x-2)(x+2)\\[/tex]

The factors that can be multiplied together are (5x – 2) and  (x + 2)

Answer:

The Answer On Edge Is C.) and E.), Have Fun Dreamers!

Step-by-step explanation:

Answer:

3x - 5

Step-by-step explanation:

divide both numbers by -2

Answer:

Ava is 10 years old

Step-by-step explanation:

Sara is 8

Sara=$8 per week for 12 weeks

$8×12 weeks=$96

Ava has $24 more than Sara

x*12=96$+$24

12x=120

x=120/12

x=10

Ava's age is 10

Answer:

x = 67.5°

Step-by-step explanation:

A circle's angles add up to 360°

So,

x+3x+90 = 360

4x+90 = 360

4x = 360-90

4x = 270

Dividing both sides by 4

x = 67.5°

Answer:

The difference between games won and games lost is 15.

Step-by-step explanation:

Since the team played 34 games and lost 6, the number of games where they got points is 28, therefore the number of wins plus draws, must be equal to that:

[tex]win + draws = 28[/tex]

Since each win values 3 points, while each draw values 1 point, then the number of points earned is given by:

[tex]3*win + draws = 70\\[/tex]

We now have a system of equations, which we can solve.

[tex]win + draws = 28\\3*win + draws = 70\\[/tex]

Multiplying the first equation by -1:

[tex]-win- draws = -28\\3*win + draws = 70[/tex]

Adding both equations:

[tex]2*win = 42\\win = 21[/tex]

Since the team won 21 games and lost 6, the difference is 15.

Answer:

I hope ive done this correctly

Fixed, i see where i went wrong, i done it backwards

Step-by-step explanation:

Answer:

x = -8  x=1

Step-by-step explanation:

x^2 +7x = 8

Subtract 8 from each side

x^2 +7x -8 =0

Factor

What 2 numbers multiply to -8 and add to 7

8*-1 = -8

8+-1 = 7

(x+8)(x-1) =0

Using the zero product property

x+8 =0  x-1 =0

x = -8  x=1

Answer:

I think you should start with a table and then write all your points for x then in the next column your answers for y.

Then take your medium and start drawing.

I suggest your x's should start from 0 and increase by 1 or 2

Then when you reach a certain point then go back to 0 and start doing your negatives.

For example if y = 2x

x | y

0|0

1 | 2

2| 4

3|6

4|8

....

then

16|32

0|0

-1|-2

-2|-4

Thanks for this question. I am working my way up to brainliest answer and Master Answerer. This answer took a lot of time to type so I hope I get good review.

:)

:)

Step-by-step explanation:

In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.

17^2-8^2 = 289 - 64 = 225 = 15^2.

Therefore, the answer to first question is yes

Then, for question 2, you do the same thing.

41^2 - 40^2 = 51

Here, 51 is not a square number. Most importantly it is not the square of9,

So this triangle is not right angled

Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

= 0.38 m/s

Answer:

22

Step-by-step explanation:

7^2 - 3^3

Exponents first

49 -27

Then subtract

22

Answer: 22

Step-by-step explanation:

Exponents mean how many times you multiply the number. So basically you would 7 times 7 minus 3 times 3 times 3. 7 times 7 is 49. 3 times 3 is 9. 9 times 3 is 27. 49 minus 27 is 22.

Answer:

It would intercept the y-axis at y = -11

Step-by-step explanation:

Here is the work

Answer:

Step-by-step explanation:

the y interception is -11

Y=mx+b formula the b is for the y intercept and the m is the slope.

Answer:

The initial speed is approximately 104.3 km

Step-by-step explanation:

Let Distance = 240 km

Time = ?

Speed =

Since

Speed = Distance/Time

Distance = Speed × Time

When arrival is late:

240 = S×T

When arrival is on time:

240 = (S+5)×T2

But 40minutes = 2/3 hours

So,

T2 = T - 2/3

240 = (S+5)×(T - 2/3)

240 = ST - 2S/3 + 5T - 10/3

ST - 2S/3 + 5T = 240 + 10/3

S(T - 2/3) + 5T = 730/3

S(T - 2/3) = 730/3 - 5T

S = (730/3 - 5T)/(T - 2/3)

But 240 = ST

S = 240/T

240/T = (730/3 - 5T)/(T - 2/3)

(T - 2/3)/T = (730/3 - 5T)/240

1 - 2/3T = 730/720 - 5T/240

1 + 73/72 = (2/3 + 5/24)T

145/72 = (7/8)T

T = 145/72 × 8/7

= 1160/504

T = 145/63

S = 240/S

= 240×63/145

= 3024/29

≈ 104.3km

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

Answer:

3/10

Step-by-step explanation:

There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. = 10

P( green) = number of green / total

               = 3/10

Answer:

D

Step-by-step explanation:

Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D

Answer:

[tex]=4y[/tex]

Step-by-step explanation:

[tex]y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y[/tex]

Answer:

[tex] = 4y[/tex]

Step-by-step explanation:

[tex]y - ( - 3y)[/tex]

we know that,

[tex]( - ) \times ( - ) = ( + )[/tex]

so,

[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

y = 9x

Step-by-step explanation:

The y intercept is zero since it goes through the point (0,0)

We need to find the slope

m = (y2-y1)/(x2-x1)

   = (9-0)/(1-0)

   = 9/1

Putting this into slope intercept form  y = mx+b

y = 9x +0

y = 9x

Answer:

200g of sugar, 600g of flour, 400g of butter

Step-by-step explanation:

50g sugar = 15 biscuits

3 x 50g = flour --) 150g = flour

2 x 50g = butter --) 100g = butter

60/15 = 4; 4 times as much

4 x 50g = 200g of sugar

4 x 150g = 600g of flour

4 x 100g = 400g of butter