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umka21 [38]
3 years ago
6

Determine the intercepts of the line. y-6= 4( + 5) y-intercept: z-intercept

Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0

Answer:

  1. (0, 26)
  2. (-6.5, 0)

Step-by-step explanation:

Turn the equation into slope-intercept form [ y = mx + b ].

y - 6 = 4(x + 5)

y - 6 = 4x + 20

y = 4x + 26

We know that b = y-intercept for the y-intercept is 26.

Substitute 0 for y to find the x intercept.

0 = 4x + 26

-26 = 4x

-6.5 = x

Best of Luck!

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Locate the point (-3.5, -1) on the coordinate plane:
MrRissso [65]

Answer:

go to the left 3.5 units then go down one and that's your point

8 0
3 years ago
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At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a
morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = \dfrac{15}{120}=0.125

As we know the poisson process, we get that

P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda

So, for exactly one car would be

P(n=1) is given by

=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

0.2599\times 18=4.6798

We will find the traffic flow q such that

P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%

Hence, a) 4.6798, and b) 19.8%.

7 0
3 years ago
What is the 50th term of the arithmetic sequence having u(subscript)1 = -2 and d = 5
OLga [1]

Answer:

243

Step-by-step explanation:

The general term for this arithmetic sequence is:

a(n) = -2 + 5(n - 1).

Then a(50) = -2 + 5(49) =   243

8 0
3 years ago
Jonah runs 3/5 miles on Sunday and 7/10 miles on Monday.He uses the model to find that he ran a total of 1 mile. What mistake do
antoniya [11.8K]

Answer: He did not convert the fractions into the like fraction to add.


Step-by-step explanation:

Given: The distance Jonah runs on Sunday= \frac{3}{5} miles

The distance Jonah runs on Monday= \frac{7}{10} miles

The total distance he ran = \frac{3}{5}+\frac{7}{10}\ miles

Since both the fractions are not like , thus multiply 2 to the numerator and the denominator of the first fraction [to add fractions first convert them into like fractions], we get

The total distance he ran = \frac{3\times2}{5\times2}+\frac{7}{10}\ miles

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The right answer is "The total distance he ran =1\frac{3}{10}\ miles"


7 0
4 years ago
The table below shows values for functions f(x) = g(x) <br> What are the solutions to f(x) = g(x)?
MakcuM [25]
The solutions to f(x) = g(x) are where the x-values for which the output f(x) is equal to the output of g(x).

What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.

Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3. Therefore, (0,2) and (1,3) are your solutions.

8 0
3 years ago
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