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sertanlavr [38]
3 years ago
11

How many solutions does the system of equations have Y = 4x+3 and 2Y-8x = 3

Mathematics
1 answer:
just olya [345]3 years ago
7 0

Answer:

The system has no solution.

Step-by-step explanation:

Write the system as

y - 4x =3

2y - 8x = 3

The 2nd equation can be written as

2(y - 4x)

and the system would be

y - 4x =3

2(y - 4x) = 3

Now, call y -4x = z. Then we would have the system

z = 3

2z = 3

But if z =3 then 2z = 6 and we have a contradiction.

We conclude that the system has no solution.

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A common practice of airline companies is to sell more tickets for a particular flight than there are seats on the​ plane, becau
Serga [27]

Answer:

0.0159

Step-by-step explanation:

Given that a common practice of airline companies is to sell more tickets for a particular flight than there are seats on the​ plane, because customers who buy tickets do not always show up for the flight.

Here if X is the no of persons that do not show up, then X is binomial as each trial is independent with p = 0.04 and n =150 (no of tickets sold)

The plane is overbooked if more than 150 show up

i.e. less than 2 do not show up

Hence  the probability that the airline overbooked this​ flight

=P(X

4 0
3 years ago
I need help with 11 and 12
Yakvenalex [24]

Answer:

Both are inverse pairs  

Step-by-step explanation:

Question 11

g(x)= 4 + \dfrac{8}{5}x

(a) Rename g(x) as y  

y = 4 + \dfrac{8}{5}x

(b) Solve for x :  

\dfrac{8}{5}x = y - 4

(c) Multiply each side by ⅝

x = \dfrac{5}{8}(y - 4) = \dfrac{5}{8}y - \dfrac{5}{2}

(d) Switch x and y  

y = \dfrac{5}{8}x - \dfrac{5}{2}

(e) Rename y as the inverse function  

g^{-1}(x) = \dfrac{5}{8}x - \dfrac{5}{2}

(f) Compare with your function

f(x) = \dfrac{5}{8}x - \dfrac{5}{2}\\\\f(x) = g^{-1}(x)

f(x) and g(x) are inverse functions.

The graphs of inverse functions are reflections of each other across the line y = x.

In the first diagram, the graph of ƒ(x) (blue) is the reflection of g(x) (red) about the line y = x (black)

 

Question 12

h(x)= x - 2

(a) Rename h(x) as y  

y = x - 2

(b) Solve for x:  

x = y + 2

(c) Switch x and y  

y  = x + 2

(e) Rename y as the inverse function  

h⁻¹(x) = x + 2

(f) Compare with your function

f(x) = x + 2

f(x) = h⁻¹(x)

h(x) and ƒ(x) are inverse functions.

The graph of h(x) (blue) reflects ƒ(x) (red) across the line y = x (black).

5 0
2 years ago
Will you please help me
PtichkaEL [24]

Answer:

sure if im able, with what?

Step-by-step explanation:

4 0
2 years ago
I don't know how to do this problem.....please help
Lemur [1.5K]
I hope this helps you

5 0
3 years ago
Write three numbers that are greater than 543,000 but less than 544,000
vovikov84 [41]

543,100.....543,200......543,300
5 0
3 years ago
Read 2 more answers
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