In 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. In 1999, tuition had risen to $221 per credit hour. Determine a linear function C(x) to represent the cost of tuition as a function of x, the number of years since 1990 C(x)= *answer here*

Answer:

x = 37

Step-by-step explanation:

x+7 = 2(x-15)

x+7 = 2x-(2*15)

x+7 = 2x-30

7+30 = 2x-x

37 = x

So, the answer is x = 37.

Answer:

-3

Step-by-step explanation:

1-7           -6

------ =   -------- =    -3

0--2          2

Answer:

Yes what is the question?

Step-by-step explanation:

Answer:

What is the question?

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

when you do 11/4 divided by 1/2, think of it as 11/4 TIMES 2 because you can flip equations with division, so your answer would be 22/4 or 11/2

Answer:

Step-by-step explanation:

[tex]\frac{2x}{x-1} -\frac{2x-5}{x^2-3x+2} =\frac{-3}{x-2} \\\frac{2x}{x-1} +\frac{3}{x-2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x(x-2)+3(x-1)}{(x-1)(x-2)} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-4x+3x-3}{x^2-2x-x+2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-x-3}{x^2-3x+2} =\frac{2x-5}{x^2-3x+2} \\x\neq 1,x\neq 2,x^2-3x+2\neq 0\\multiply~by~x^2-3x+2\\2x^2-x-3=2x-5\\2x^2-3x+2=0\\x=\frac{3\pm\sqrt{9-4*2*2} }{2*2} \\x=\frac{3 \pm\sqrt{-7} }{4} \\x=\frac{3 \pm \sqrt{7} i}{4}[/tex]

The solutions of the given rational equation are 13/4 and 11/4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is 2x/(x-1) - (2x-5)/(x² -3x+2) = -3/(x-2)

Here, 2x/(x-1) - (2x-5)/(x² -2x-1x+2) = -3/(x-2)

2x/(x-1) - (2x-5)/(x(x-2)-1(x-2)) = -3/(x-2)

2x/(x-1) - (2x-5)/((x-2)(x-1)) = -3/(x-2)

(2x(x-2)-(2x-5))/((x-2)(x-1)) = -3/(x-2)

(2x²-4x-2x+5)/(x-1)=-3

2x²-4x-2x+5= -3(x-1)

2x²-6x+5=-3x+3

2x²-6x+5+3x-3=0

2x²-3x+2=0

By using quadratic formula, we get

x=3±√(9-8)/4

x=3± 1/4

x= 3+1/4 and x=3-1/4

x=13/4 and x=11/4

Therefore, the solutions of the given rational equation are 13/4 and 11/4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer: (0,3) and (2,2)

There are infinitely many possible answers.

======================================================

Explanation:

If we plug in x = 0 and solve for y, then we get,

x+2y = 6

0+2y = 6

2y = 6

y = 6/2

y = 3

So x = 0 and y = 3 pair up together. We get the ordered pair (x,y) = (0,3)

This is one point on the line.

------------------------

Pick any other value you want for x. Let's say we go for x = 2

x+2y = 6

2+2y = 6

2y = 6-2

2y = 4

y = 4/2

y = 2

The point (x,y) = (2,2) is also on the line, and also another solution.

------------------------

One last example. Let's plug in x = 4

x+2y = 6

4+2y = 6

2y = 6-4

2y = 2

y = 2/2

y = 1

The point (x,y) = (4,1) is another solution.

--------------------------

Refer to the graph below.

for X=0

0+2y=6

2y = 6

6

y= ---- =3

2

so, (0,3) is also a solution

for y=0

X + 2(0) = 6

X+0 =6

X = 6

so, (6,0) is a solution

Step-by-step explanation:

was this answer helpful?

if yes then

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thankyou

Answer:

12

Step-by-step explanation:

We are finding the discriminant

b^2 -4ac

2x^2 - 2x - 1 = 0​

a =2  b = -2  c = -1

(-2)^2 - 4(2)(-1)

4 +8

12

Answer:

[tex]b^2 - 4ac= 12[/tex]

Step-by-step explanation:

Standard quadratic equation :

                   [tex]ax^2 + bx + c = 0[/tex]

Given equation :

                  [tex]2x^2 - 2x - 1 = 0[/tex]

From the given equation , a = 2, b = -2 , c = -1

Therefore,

              [tex]b^2 - 4ac= ( -2)^2 - ( 4 \times 2 \times (-1))[/tex]

                          [tex]=4 + 8 = 12[/tex]

Answer:

£22

Step-by-step explanation:

Area to be painted

4walls - door

a = 4(2.6 * 3.5) - 2.2 * 0.8

a = 34.64 m²

Paint needed

p = 34.64 / 8

p = 4.33

Must round up

p = 5 liters

Tins needed

t = 5/2

t = 2.5

must round up

t = 3

Cost

since 1 is free with 2 will pay for 2

c = 11 * 2

c = 22

£22

Answer:

a

Step-by-step explanation:

because- the numbers and then choose correct options

Answer:

Angle of elevation = 56.31°

Step-by-step explanation:

Answer:

Here,

C.P.=RS 640

S.P.=RS 672

Now,

we know that,

profit= S.P. - C.P.

= rs 672- rs 640

= rs 32.

and,

p % = profit/c.p *100

= rs 32/rs 640*100

=rs 5

wish its help you

Answer:

75

Step-by-step explanation:

22314 asas 5 => digit 3 dalam asas 10 menjadi :(3×5²) = 3×25 = 75

Answer:  A, 4^4

Step-by-step explanation:

4^7/4^3 = 4^4

Answer:

[tex]4^{4}[/tex]

Step-by-step explanation:

Rewrite the division as a fraction.

[tex]\frac{4^{7} }{4^{3} }[/tex]

Cancel the common factors.

[tex]\frac{4^{3}*4^{4} }{4^{3}*1 }[/tex]

[tex]4^{4}[/tex]

Hope this helps!

Reach out to me if you need more help with these types of problems.

Answer:

a) 20 minutes

b) 36 km/h

c) 33.67 km

d) continuous driving without any stationary phases.

Step-by-step explanation:

by the way, speed is specified in distance per time unit. in your example as km/h. and that is how your write this.

not km/h¯¹. that would be wrong, as that would actually be km×h. but you can write e.g. km×h¯¹. that is the same as km/h.

between minutes 5 and 25 there is no progress in distance. so, for these 20 minutes the bus was stationary.

in the first 5 minutes the bus drove 7-4=3 km.

so, in 5 minutes 3 km. to determine the speed we need to calculate up to see, how many km would be have driven in a full hour (60 minutes). the same factor for the time has then to be applied also to the distance to keep the ratio unchanged.

5 × x = 60

x = 12

3 × 12 = 36

so, the speed in these first 5 minutes was 3 km/5 min.

or then in km/h : 36 km/h

between the minutes 25 and 45 the bus drove with a speed of 80km/h.

and the starting point there was at 7 km.

so, the bus drove s-7 km in 20 minutes.

as before, let's first find the scaling factor to deal with a full hour instead of only 20 minutes.

20 × x = 60

x = 3

as before : distance × scaling factor = distance for km/h

(s-7) × 3 = 80

3s - 21 = 80

3s = 101

s = 33.666666666... km

Answer:

Rs 6800

Step-by-step explanation:

Hope this helps

Answer:

the first option

Step-by-step explanation:

because x^3 is exponential while ab^2 is linear

Answer:

Step-by-step explanation:

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle So, ADC = 124/2 => ⛰ ADC = 62

Answer:

A = 15x^2 +11x+4

Step-by-step explanation:

can we assume you want the area...

A = 1/2 (B1+B2) h

A = 1/2(10x +4)(3x+2)

A= 1/2(30x^2 +22x+8)

A = 15x^2 +11x+4

Answer:

4th graph

Step-by-step explanation:

x + 3y > -3

3y > -x - 3

y > -(1/3)x - 1

Blue Line

y < 1/2x + 1

Orange Line

y- intercepts = -1 and 1

Answer:

i only know 4 number only

Answer:

37deg

Step-by-step explanation:

Answer:

4628

I hope it will help you all

Answer:

Step-by-step explanation:

Vì tam giác ABC vuông tại C nên ta áp dụng định lí pitago=> AB²=AC²+BC²=0.9²+1.5²=3.06=>AB= (3 căn bậc hai của 34)/10

sin B=AC/AB=(3 căn bậc hai của 34)/34

cos B=BC/AB

tan B= AC/BC

cot B= BC/AC

Tương tự suy ra tỉ số lượng giác góc A

Answer:

10.34

Step-by-step explanation:

Four sf=four numbers only

Answer:

10•34

1 is less than 5

n/b that u will begin from the no before the decimal place

Step-by-step explanation:

The given equations are:

(i)

3x+2y−4=0...(1)

2x−3y−7=0...(2)

put x=0 in (1),

3(0)+2y−4=0

y=2

put y=0 in (2),

2x−3(0)−7=0

x=

2

7

put x=0 in (2),

2(0)−3y−7=0

y=−

3

7

put y=0 in (1),

3x+2(0)−4=0

x=

3

4

(x=0,y=−

3

7

)

(x=

3

4

,y=0)

(x=0,y=2)

(x=

2

7

,y=0)

(ii)

3x+2y−11=0...(1)

2x−3y+10=0...(2)

put x=0 in (1),

3(0)+2y−11=0

y=

2

11

put y=0 in (2),

2x−3(0)+10=0

x=−5

put x=0 in (2),

2(0)−3y+10=0

y=

3

10

put y=0 in (1),

3x+2(0)−11=0

x=

3

11

(x=

3

11

,y=0)

(x=0,y=

3

10

)

(x=0,y=

2

11

)

(x=−5,y=0)

Answer:

Step-by-step explanation:

BD is the altitude, it breaks ΔABC into two similar triangles:

The ratios of corresponding sides:

On the other hand: