Answer:
The cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the following form:
y= m*x + b
where
m is the slope of the function n is the ordinate (at the origin) of the functionSo, in this case: C(x)= m*( x-1990) + b where x is the number of years since 1990.
Given the coordinates of two points, it is possible to determine the slope m of the line from them using the following formula:
[tex]m=\frac{y2 - y1}{x2 - x1}[/tex]
In this case, you know that in 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. And in 1999, tuition had risen to $221 per credit hour. So:
x1= 1990y1= 95x2= 1999y2= 221So the value of m is:
[tex]m=\frac{221 - 95}{1999 - 1990}[/tex]
[tex]m=\frac{126}{9}[/tex]
m= 14
So C(x)= 14*( x-1990) + b. In 1999, tuition had risen to $221 per credit hour. Replacing:
221= 14*(1999 - 1990) + b
221= 14*9 +b
221= 126 + b
221 - 126= b
95= b
Finally, the cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95
Help 4,5 and ,6 please
Answer:
i only know 4 number only
Given a right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 24 and DC = 6, what is the length of BC?
Answer:
BC = 12Step-by-step explanation:
BD is the altitude, it breaks ΔABC into two similar triangles:
ΔABD ~ ΔBCDThe ratios of corresponding sides:
AD/BD = BD/DC ⇒ BD² = AD*DC ⇒ BD² = (24 - 6)*6 ⇒ BD² = 108On the other hand:
BC² = BD² + DC² ⇒ BC² = 108 + 6² = 144 BC = √144BC = 12A circle is centered on point B. Points A C and D lie on its circumference.
If angle ABC measures 124°, what does ADC measure?
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
THANK FOR HELPING REALLY APPRECIATE IT FINDING X ON A TRIANGLE
Answer:
37deg
Step-by-step explanation:
Mr Yadav buys a radio for Rs 640 and sells it for Rs 672 Find it's profit percent
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
Solve the rational equation:
2x/x-1 - 2x-5/x^2 -3x+2 = -3/x-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.
What is an equation?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
Consider the following system of two equations.
{3x−4y=−24
3x+2y=−6
What are the coordinates(x,y) of the solution to the system of equations?
Enter the coordinates in the space provided.
Help if i dont pass this im finna fail.!!!!!
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)
a rack bought for rs.8000 and sold at 15% loss, find selling price
Answer:
Rs 6800
Step-by-step explanation:
Hope this helps
Can someone help me please
Answer:
Yes what is the question?
Step-by-step explanation:
Answer:
What is the question?
Step-by-step explanation:
What are the lengths of AD, DB, AE, and EC? Measure and record them.
yo pls telll ?:( pls be correct answer
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
second solutionfor 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
please mark as brainlist
thankyou
Please help I’ll give brainliest
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.
x+7=2(x-15) solve for x
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.
what is the average of 4741, 4261, 4628?
Answer:
4628
I hope it will help you all
Aisha wants to paint the four walls of her living room. Each wall is 2.6 m high and 3.5 m long. One wall has a door of 2.2 m by 0.8 m. Tins of paint cost £11 per 2 L tin. Each litre of paint can cover 8 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room
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
10.34126163391934 rounded to 4sf (significant figures)
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
Please help me!
The diagram shows the distance time graph of a bus in 45 minutes calculate
a) the period of time that the bus is stationery
b) the speed in km/h¯¹ in the first 5 minutes.
c) the value of s, if the speed is 80 km/h¯¹
d) describe the motion of bus in the last 20 minutes
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
What's is the coordinates of d
I need help with this question
Answer:
a
Step-by-step explanation:
because- the numbers and then choose correct options
Ill give brainlest to who gets it right.
Can someone help me?It's urgent and thank you!
Answer:
the first option
Step-by-step explanation:
because x^3 is exponential while ab^2 is linear
A boy 1.5 m tall is 15 m away from a hut 24 m high. What is the angle of elevation of the top of the hut?
Answer:
Angle of elevation = 56.31°
Step-by-step explanation:
Can anyone help with this question please? Will mark brainliest :)
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
: Cho tam giác ABC vuông tại C, trong đó AC = 0,9m, BC = 1,2m. Tính các tỉ số lượng giác của góc B, từ đó suy ra các tỉ số lượng giác của góc A.
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
Find the slope of the line passing through (-2, 7) and (0, 1)
plz hurry i am in test
Answer:
-3
Step-by-step explanation:
1-7 -6
------ = -------- = -3
0--2 2
I really need help, please.
Which is the graph of the system x + 3y > -3 and y < 1/2x + 1
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
What is the value of b2 - 4ac for the following equation?
2x^2 - 2x - 1 = 0
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]
nyatakan nilai digit 3 dalam asas sepuluh, bagi nombor 22314 asas 5
Answer:
75
Step-by-step explanation:
22314 asas 5 => digit 3 dalam asas 10 menjadi :(3×5²) = 3×25 = 75
Can some please answer this?
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