T had 53,790 miles onit. They had the car for 8.25 years. On average, how many miles did they drive per year?

Answer:

[tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3 ;

Step-by-step explanation:

f(x) = x³ + 9x² - 25x - 225 = (x + 9)(x + 5)(x - 5)

g(x) = x³ + 3x² - 25x - 75 = (x + 5)(x + 3)(x - 5)

( [tex]\frac{f}{g}[/tex] )(x) = [tex]\frac{(x+9)(x+5)(x-5)}{(x +5)(x+3)(x-5)}[/tex] = [tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3

Step-by-step explanation:

i suppose you are looking for the expanded and simplified form

We can use Pascal's triangle to perform this

According to Pascal's triangle,

1

1 1

1 2 1

So, 1•3x²+2•3x•1/x+1•1/x²

3x²+6x/x+1/x²

3x²+6+1/x²

Answer:

[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]

Answer:

The coefficient is 6 because it has a variable "x"

Answer:

24 Tennis balls

Step-by-step explanation:

Calculation for How many tennis balls are left

First step

Since we have 12 can with 3 balls each Let the number of balls that the tennis pro has at the beginning be x

x=(12 can ×3 balls each)

x=36

Second step

Since we have 4 players who lost 3 ball each Let the total number of balls that was lost be y

y=(4 players×3 balls each)

y=12

Third step is to calculate How many tennis balls are left

Since x represent the number of balls at the beginning and y represent the number of balls that was lost , then let the number of tennis balls that was left after the session represent z

z=36−12

z=24 Tennis balls

Therefore the numbers of tennis balls that are left will be 24 Tennis balls

Answer:

The fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

Step-by-step explanation:

Given the rule

''y is 3 times the value of x".

It means

y = 3x

comparing with the slope-intercept form of the line equation

y = mx+b

where y is the slope and b is the intercept

so,

The slope of y = 3x will be: m = 3

The y-intercept of  y = 3x will be: b = 0

CHECKING THE 4TH GRAPH (THE RIGHT BOTTOM SIDE)

Taking two points

(0, 0)

(2, 6)

Finding the slope between (0, 0) and (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [6 - 0] / [2 - 0]

                = 6 / 2

               = 3

Thus, the slope of the line = m = 3

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = 3 and b = 0 in the slope-intercept form of linear function

y = mx+b

y = 3x+0

y = 3x

Therefore, the fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

Answer:

It's the bottom right graph.

Step-by-step explanation:

Answer:

??? dont under stand

Step-by-step explanation:

Answer:

The correct answer is Target!

Step-by-step explanation:

12% off of $225 is $198

50% off of $250 is $125

25% off of $265 is $198.75

Answer:

the third one

Step-by-step explanation:

you cannot add the hypotenuse with anything else to equal a leg if that makes sense

Step-by-step explanation:

Given A(1 , -3)

Reflection across the x -axis

= A'( 1 , 3)

Reflection across the y-axis

= A'( -1 , - 3)

Reflection across the y = x

= A' ( -3 , 1)

Reflection across the y = - x

=A'( 3 , - 1)

Hope it will help ☺

Answer:201,06

Step-by-step explanation: the formula for the A in the circle is A= r*r*pi

r=8

pi=3,14

A=8*8*3,14=201,06

Answer:

2:30 minutes her journey finish.

distance / speed = time

75 / 30 = 2.5 hours :

it means  2:20 pm they finish her journey

Step-by-step explanation:

Brainliest?

Answer:

2:20 pm

Step-by-step explanation:

30 mph=1 mile every 2 minutes

75 miles x 2 =150 minutes or 2 hours and 30 minutes

11:50 am + 2 hours and 30 minutes = 2:20 pm

Answer:

220 student and 241 adults

Step-by-step explanation:

x+y=461

3x+4y=1624

y=-x+461-----> 3x+4(-x+461)=1624

                              -x+1844=1624

                             +x  -1624

                                   x=220

3(220)+4y=1624

660+4y=1624

4y=964

y=241

There are 241 adult tickets and 220 student tickets did Sara sell.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sara sold 461 tickets for a school play.

And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.

Let number of adult tickets = x

And, Number of student tickets = y

Hence, We get;

⇒ x + y = 461  .. (i)

And, 4x + 3y = 1624 .. (i)

Multiply by 3 in (i);

⇒ 3x + 3y = 1383  .. (iii)

Subtract form (ii);

⇒ x = 241

And, From (i);

⇒ x + y = 461

⇒ 241 + y = 461

⇒ y = 461 - 241

⇒ y = 220

Thus, There are 241 adult tickets and 220 student tickets did Sara sell.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer:

yes

Step-by-step explanation:

Answer:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Step-by-step explanation:

Let us represent:

The number of times

Ashley watched TV = x

Gabby watched TV = y

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend.

= x + y = 14..... Equation 1

x = 14 - y

Ashley watched 6 times as many hours as Gabby.

x = 6y

Using substitution method

We substitute 14 - y for x

14 - y = 6y

14 = 6y + y

14 = 7y

y = 14/7

y = 2 hours

Solving for x

x = 14 - y

x = 14 - 2

x = 12 hours

Therefore:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Answer:

9 and -10 are constant

Step-by-step explanation:

constant means it shouldnt have any variable attached to it

Answer:

3,6,18,9,10

Step-by-step explanation:

numbers

Answer:

W=4

Step-by-step explanation:

When you plug 4 into w, it changes into 4/8 which simplifies to 1/2.

1/2 times 6 is 3.

11+3=14

Answer:

1140

Step-by-step explanation:

A decagon has 10 sides so substitute it like this:

(n-2) x 180

(10-2) x 180

8 x 180= 1140

Step-by-step explanation:

A method for this would be the tree diagram

20

/. \

10 x 2 ( u circle 2,times with 1 will times into itself)

/ \. (nothing goes into 2)

5x2 (same goes for 5 and the rest)

5x2x2= 20

3. (cant times into itself)

so 2x5x3 = 30

LCM = 30

Answer: The answer to -64 divided by 8 would be 8.

Answer:

y = -3/5x + 1.3

Step-by-step explanation:

y = mx + b

m: slope

b: y-intercept

First, let's substitute in the values.

Point: (2, 1)

Slope: -3/5

y = mx + b

(1) = (-3/5)(2) + b

1 = -0.3 + b

1 + 0.3 = -0.3 + b + 0.3

b = 1.3

Now, let's add the slope and y-intercept to the equation.

y = mx + b

m = -3/5

b = 1.3

y = -3/5x + 1.3

Hope this helped! <3

Answer:

1. (1, 3), (2, 5), (2, 7) (4,9)  No

2. (1, 3), (2, 5), (3, 7) (4,9)  Function

3. (1, 3), (1,5), (1, 7) (4, 9)  No

4. (1,3), (2, 3), (3, 3) (4, 3)  Function

5. (1, 2), (2, 5), (2, 1) (4, 5) No

Step-by-step explanation:

If you see the same x-coordinate more than once in a relation, then that relation is not a function.

1. (1, 3), (2, 5), (2, 7) (4,9)  The 2 is used more than once as a x-coordinate. Not a function.

2. (1, 3), (2, 5), (3, 7) (4,9)  All x-coordinates are different. Function.

3. (1, 3), (1,5), (1, 7) (4, 9)  The 1 is used more than once as an x-coordinate. Not a function.

4. (1,3), (2, 3), (3, 3) (4, 3)  All x-coordinates are different. Function.

5. (1, 2), (2, 5), (2, 1) (4, 5) The 2 is used more than once as a x-coordinate. Not a function.

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

[tex]H=-4.9t^2+5t+2[/tex]

The ball will hit the ground when h=0

[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]

Answer:

Zero

Step-by-step explanation:

So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7

7 minus 7 equals 0 or {7 - 7 = 0}

Hope this helps!!

Answer:

0

Step-by-step explanation:

Answer:

The Articles of Confederation created a national government composed of a Congress, which had the power to ... Under the Articles, the states, not Congress, had the power to tax. ... The Articles of Confederation did not include a president.

Step-by-step explanation:

Hope this helps;)

Answer:

u=7

Step-by-step explanation:

First, add 4u and 3u because they are like terms.

7u+21=70

Second, subtract 21 from both sides.  

7u=49

Finally, to isolate the variable divide 7 from both sides.

u=7

Answer:

(-2, -4)

Step-by-step explanation:

Since both equations are equal to y, you can set them equal to each other:

[tex]\frac{3}{2}x-1=\frac{1}{2}x-3[/tex]

Next, solve for x:

[tex]\frac{3}{2}x-1=\frac{1}{2}x-3\\x-1=-3\\x=-2[/tex]

Finally, substitute the solution for x in one of the equations (or both) to find y:

[tex]y=\frac{3}{2}(-2)-1\\y=-3-1\\y=-4[/tex]

[tex]y=\frac{1}{2}(-2)-3\\y=-1-3\\y=-4[/tex]

Therefore, the solution to the system of equations is (-2, -4).

Answer:

m = 1

Step-by-step explanation:

We can use the x & y intercepts.

Rise = 2

Run = 2

m = Rise/Run = 2/2 = 1