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Y_Kistochka [10]
3 years ago
5

Y<3x+4 in graph help me please!!!!

Mathematics
1 answer:
Zinaida [17]3 years ago
7 0
Graph the boundary line of y = 3x + 4 first.  This is pretty easy. I'll give the steps below.
1. plot the y intercept:  we see from the equation, the y intercept is 4 or specifically the point (0,4).... plot this as your first point.
2. Use the slope to get another point or couple of points.  We can see from the equation that the slope is 3(the coefficient of 'x') and can be represented as a fraction  \frac{3}{1}  This fraction implies that you would move up three units of space and to the right 1 unit of space from the y intercept to get to your next point.  
3.  Draw a broken or dashed line through these two points due to the type of inequality symbol you have in the original problem(a less than symbol).  This means the points that lie on this line will not actually by solutions.
4. Now that you have the boundary line sketched, all the points falling below the boundary line will be the solutions to the inequality <span>Y<3x+4 So shade that region of your graph.
5. To prove this, you can test the point (0,0) as follows: 0</span><span><3(0)+4 
or, 0</span><4  which is a true statement, meaning the point (0,0) is a solution as well as all other points on that side of the boundary line. 

Good luck ,, and I hope this helped.
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An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their poli
kenny6666 [7]

Answer:

the probability that there will be a seat available for every passenger who shows up is 0.74

Step-by-step explanation:

if the probability of choosing a passenger that will not show up is 5% , then the probability of choosing a passenger that will show up is 95%.

Denoting event X= x passengers will show up from the total of 52 that purchased the ticket

Then P(X) follows a binomial probability distribution, since each passenger is independent from others. Thus

P(X) = n!/((n-x)!*x!)*p^x*(1-p)^(n-x)

where

n= total number of passengers hat purchased the ticket= 52

p= probability of choosing a passenger that will show up

x = number of passengers that will show up

therefore the probability that the number does not exceed the limit of 50 passengers is:

P(X≤50)=  ∑P(X=i)  from i=0 to i=50   =F(50)

where F(x) is the cumulative binomial probability distribution, then from tables:

P(X≤50)= F(50) = 0.74

therefore the probability that there will be a seat available for every passenger who shows up is 0.74

8 0
3 years ago
The weight of a bull clad is 388 kilograms. If it’s weight increases at a rate of 1 2/5 kilograms per day how long it will take
Alex73 [517]

Answer:

It will take  <u><em>80 days</em></u>  for the bull calf to reach a weight of 500 kilograms.

Step-by-step explanation:

Given:

The weight of a bull calf is 388 kilograms.

Now, to find the weight of bull calf of how long it will take to reach a weight of 500 kilograms, if it’s weight increases at a rate of 1 2/5 kilograms per day.

Required weight which to be increased = 500 - 388 = 112 kilograms.

Rate of weight increase = 1\frac{2}{5}=\frac{7}{5}

                                        = 1.4\ kilograms.

Thus, the time required = \frac{required\ weight}{rate\ of\ weight}

                                        = \frac{112}{1.4}

                                        = 80.

<em>The time required   =    80 days</em>.

Therefore, it will take 80 days for the bull calf to reach a weight of 500 kilograms.

5 0
3 years ago
John wants to measure the height of the tree in his yard. He stands so that the top of his shadow matches up with the top of the
dexar [7]

Answer:

hi

Step-by-step explanation:

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7 0
3 years ago
SO CONFUSED PLEASE SOMEONE EXPLAIN! DUE SOON AND NEED HELP!!!!!!!! QUESTION IN PICTURE BELOW
jeka57 [31]

Answer:

=> Apply law of cosine

c^2=a^2+b^2-2abcos\left(C\right)

=> input value

z^2=6.5^2 + 9.4^2-\left(6.5\right)\left(9.4\right)\left(cos\left(131\right)\right)

=> simplify

z=\sqrt{\left(6.5^2+\:9.4^2\right)-\left(6.5\right)\left(9.4\right)\left(-0.65605902899\right)}

=> calulcation

z=\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61},\:z=-\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61}

=> apply rule: Distance must be greater than 0

which is about 14.51828

4 0
2 years ago
A rectangular garden has a walk around it of width x. The garden is 20 ft by 15 ft. Write a function representing the combined w
kodGreya [7K]

Answer: A(x) = 15 ft + 2x

 

EXPLANATION

 

Given,

The dimension of the rectangular garden is 20 ft by 15 ft.

Dimension of a rectangle is written as Length by Width

This implies that,

Length of the garden = 20 ft

Width of the garden = 15 ft

 

The garden has a walk around it of width x.

The combined width of the garden = Width of garden + 2x

[we are adding twice the width of the walk because it is around the garden (this means it will add to the width of the garden on both the left and right sides)]

 

Combined width of the garden, A(x) = Width of garden + 2x

Since width of the garden = 15 ft

A(x) = 15 ft + 2x

5 0
3 years ago
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