You have a choice between going to an​ in-state college where you would pay ​$3000 per year for tuition and an​ out-of-state college where the tuition is ​$6500 per year. The cost of living is much higher at the​ in-state college, where you can expect to pay ​$1000 per month in​ rent, compared to ​$450 per month at the other college. Assuming all other factors are​ equal, which is the less expensive choice on an annual​ (12-month) basis?

Answer:

Domain : R−{−1,3}

Range: R

Step-by-step explanation:

Equate the denominator(x2−2x−3) to zero, then solve the equation for x

→x2−2x−3=0

→x=−(−2)±√(−2)2−4⋅(1)⋅(−3)2⋅1

→x=1±2

⇒x=−1 and x=3

This means that, when x=−1 or 3, we have the x2−2x−3=0

Implying that f(x)=x0 which is undefined.

Hence, the domain is all real numbers except −1

and 3

Also written as Df=(−∞,−1)∪(−1,3)∪(3,+∞)

Answer:

[tex]5 {x}^{2} + 3 {x}^{2} + 6x = 3x - 6x + 9x \\ 8 {x}^{2} + 6x = - 3x + 9x \\ 8 {x}^{2} + 6x = 6x \\ 8 {x}^{2} = 6x - 6x \\ 8 {x}^{2} = 0 \\ x = 0 \\ thank \: you[/tex]

Answer:

-1

Step-by-step explanation:

F(x - 1) = 2x + 3.

 Rewrite the right side (2x + 3)

F(x - 1) = 2[ x ] + 3

F(x - 1) = 2[ x - 1 + 1 ] + 3  =  2 [ (x - 1) + 1 ]   + 3

=  2 (x - 1) + 2 + 3

=  2(x - 1) + 5

replace "x - 1" with "-3" :

F(-3)   =     2(-3) + 5  =  -1

Answer:

1) 1050 ft squared

2) 200 yards

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The answer is 5

Step-by-step explanation:

Since we already know what x we can just substitute it.

5(8)-2y=30

5 times 8 is 40

40-2y=30

Subtract 40 on both sides:

-2y=-10

Divide -2 on both sides:

y=5

Hope this helps!

And who is your bias for BTS?

(Edit) answer is 5 I guess

Answer:

g=11

Step-by-step explanation:

What I did was Isolate the variable by dividing each side by factors that don't contain the variable.

Set the equation equal to zero and factor the left side.

The factor answer would be 2(−g+11)=0

Answer:

If I'm not mistaked the mean should be bumbed up by five.

Step-by-step explanation:

Answer:

(1-sin(x))/(1+cos(x)) = (csc(x) - 1)(csc(x) - cot(x))

Step-by-step explanation:

(1 - sin(x)) / (1+cos(x)) =

[ (1-sin(x))/ (1+cos(x)) ] * (1-cos(x))/(1-cos(x)) =

(1-sin(x))(1-cos(x)) / (1 - cos^2(x)) =  

(1-sin(x))(1-cos(x)) / (sin^2(x)) =

[ (1-sin(x)) / sin(x) ] * [ (1 - cos(x)) / sin(x) ] =

(csc(x) - 1)(csc(x) - cot(x))

Answer:

Step-by-step explanation:

Dining room:

length = 8 m = 8 *100 = 800 cm

width = 6m = 6 *100 = 600 cm

[tex]Number \ of \ tiles =\dfrac{area \ of \ the \ dinning \ room}{Area \ of \ a \ tile}\\\\[/tex]

                           [tex]= \dfrac{800 *600}{20*60}\\\\= 400 \ tiles[/tex]

Answer:

140% is 140/100 = 7/5 is fraction

Answer:

D. 1/36

Step-by-step explanation:

yeah-ya.... right?

Answer:

99

Step-by-step explanation:

33x3=99

Answer:

44

Step-by-step explanation:

4-1=3 (4 times minus what was original which is 1u)

3u=33

1u=33÷3=11

4u=11x4=44

Hope this helps! Thanks.

Answer:

k=(1000-600)/(0-10)=-40

Step-by-step explanation:

K is the slope

Answer:

y=2x+7

Step-by-step explanation:

find (-5,-3)

use the slope to find the y intercept

intercept is (0,7)

use formula y=mx+b to plug in numbers

(slope is m and y intercept is b)

y=mx+b

y=2x+7

Answer:

The answer is 8

Step-by-step explanation:

c/7 ; c = 56

56/7 = 8

Thus, The answer is 8

-TheUnknownScientist 72

Answer:

15

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

you would have to find the square root of 225 and this is 15 so if you do 15x15 you will get 225

and if you need to find the perimeter you add up all the sides

15x4=60

The perimeter of a square is 60

1 side length of a square: 15

Hope this helped :)

Answer:

the difference is 429

Step-by-step explanation:

you round 689.7 to 690 the minus that by 261, then you get 429.

Answer:

429

Step-by-step explanation:

689.7 - 261 = 428.7

answer approximated is 429

Answer:

1.4953

Step-by-step explanation:

You will need to break down 4.5

4√5

1.4953

We need mean .

Let's use python .

Program attached

Answer:

[tex]{ \rm{mean = \frac{ \sum(fn)}{n} }} \\ [/tex]

• substitute and solve:

[tex]{ \rm{mean = \frac{112 + 114 + 115 + 120 + 122 + 290}{6} }} \\ \\ { \rm{mean = \frac{873}{6} }} \\ \\ { \boxed{ \rm{ \: center = 145.5 \: }}}[/tex]

The distance between two points with the given coordinates in space is;

Distance = 17 units

We are given the coordinates;

(32, 12, 5)

(20, 3, 13)

d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

From the equation given to us, we can see that;

x₁ = 32

x₂ = 20

y₁ = 12

y₂ = 3

z₁ = 5

z₂ = 13

d = √((20 - 32)² + (3 - 12)² + (13 - 5)²)

d = √(144 + 81 + 64)

d = √289

d = 17

Thus, the distance between the two points is 17 units

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Answer: Well, the ratio is 2.5, so that, I think.

Step-by-step explanation:

Step-by-step explanation:

7.1

7⅒(C).

hope this helps you.

Answer:

Step-by-step explanation:

Given equation:

Cross multiply and simplify:

or

Correct choice is C

[tex]\\ \sf\longmapsto \dfrac{x}{5}=\dfrac{x^2}{4x+2}[/tex]

[tex]\\ \sf\longmapsto x(4x+2)=5x^2[/tex]

[tex]\\ \sf\longmapsto 4x^2+2x=5x^2[/tex]

[tex]\\ \sf\longmapsto x^2-2x=0[/tex]

[tex]\\ \sf\longmapsto x(x-2)=0[/tex]

[tex]\\ \sf\longmapsto x=0\:or\:x=2[/tex]

Answer:

It is C

Step-by-step explanation:

The square root of 61 is 7.81024967591 so it is an irrational number.

Answer:

brown = 6 pairs

Step-by-step explanation:

3/5 = brown

2/5 = black

Ratio black brown therefore = 2 : 3

package 10 therefore = 4 : 6

brown = 6 pairs

y = -4, -3, -2, -1, 0, 1

Step-by-step explanation:

-5 < y < 2

y = -4, -3, -2, -1, 0, 1

-5 < -4, -3, -2, -1, 0, 1 < 2 ☑

Answer:

[tex]15.2~mph[/tex]

Step-by-step explanation:

Let the time flown by the flying carpet be [tex]t[/tex]. Then, we have that [tex](2.4)/t=(1.4)/t+2*4[/tex].

We multiply both sides of the equation by [tex]t[/tex] to get [tex]2.4=1.4+8t[/tex].

We subtract [tex]1.4[/tex] from both sides to get [tex]1=8t[/tex].

We divide both sides of the equation by [tex]t=1/8[/tex].

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is [tex](2.4)/(1/8)=19.2[/tex]mph.

The speed against wind is [tex](1.4)/(1/8)=11.2[/tex]mph.

The speed in still wind is [tex](19.2+11.2)/2=(30.4)/2=15.2[/tex].

Therefore, the answer is [tex]\boxed{15.2~mph}[/tex] and we're done!

The speed of the flying carpet in still air is 15.2 mph

Let x represent the speed of the flying carpet in still air, and t represent the time.

Speed = distance/time

Since the wind speed is 4 mph, hence:

When flying with the wind:

x + 4 mph = 2.4/t     (1)

When flying against the wind:

x - 4 mph = 1.4/t     (2)

Dividing equation 1 by 2 gives:

(x + 4) / (x - 4) = 2.4/1.4

1.4x + 5.6 = 2.4x - 9.6

x = 15.2 mph

The speed of the flying carpet in still air is 15.2 mph

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Answer:

The number is 17.

Step-by-step explanation:

Let x be the unknown number.

4 times the sum of a number plus 7 would be

4x + 7

44 less than the unknown number (x) would be

x - 44

Now we connect everything.

4x + 7 = x - 44

4x - x = -44 - 7

3x = -51

x = -17

The algebraic representation of the expression is 4(x + 7)  = x - 44

From the question, we have the following parameters that can be used in our computation:

four times the sum of a number and 7 is 44 less than the number

By definiton:

Sum means plus

Less than means minus

Using the above as a guide, we have the following:

4 * (x + 7) = x - 44

So, we have

4(x + 7)  = x - 44

Read mroe about expressions at

brainly.com/question/30492964

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