All categories

3 years ago

Substitute the value x = -1 into the first equation and solve for y.

Mathematics

1 answer:

USPshnik [31]3 years ago

3 0

Answer:

y = -3

Step-by-step explanation:

Following the directions, we have ...

y = 2·(-1) -1 = -2-1 . . . . . . put -1 where x is in the equation

y = -3

You might be interested in

Jack likes to go fishing. While waiting for the fishes to bite, he formulates the following model for the process: fishes bite a

gogolik [260]

Answer:

a) 0.122

b) 3.35 × 10⁻⁴

c) 0.1071

Step-by-step explanation:

Here we have the Poisson process given by

$P(N(t) = k) = \frac{e^{-\lambda t} (\lambda t)^k }{k!}$

Where:

λ = Rate = 4 bites/hour and

t = Length of time that is

Mean = λt

Where k = 6 fishes bites and t = 2 hours we have

$P(N(2) = 6) = \frac{e^{-4 \times 2} (4 \times 2)^6 }{6!} = 0.122$

b) The probability that he fails to catch any fishes during the first two hours is the probability t that he catches 0 fish as follows

$P(N(2) = 0) = \frac{e^{-4 \times 2} (4 \times 2)^0 }{0!} = 3.35 \times 10^{-4}$

$P(N(2) = 6) = 0.122$

For 1 fish caught in two times we have first time no fish and second time he caches a fish gives

0.122×(1-0.122) = 0.1071

4 0

2 years ago

There are 3 poets who write for a literary magazine. For an upcoming issue, each poet wrote 27 poems. How many poems are there i

erma4kov [3.2K]

Answer:

81 poems

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The first term of an arithmetic sequence is a1 = 2, and the third term is a3 = 6. Which of the following could be formula(s) for

Ulleksa [173]

Answer:

Step-by-step explanation:

an=2(1)=2

an=2(3)=6

8 0

2 years ago

A bird has a mass of 26 g and perches in the middle of a stretched telephone line. (a) Show that the tension in the line can be

Semmy [17]

Answer:

a) is demonstrated below, b) T=1.462N, c) T=14.6N

Step-by-step explanation:

a) Refer to the attached diagram.

Since the bird is standing in the middle of the line and each half is a straight line, Ta=Tb, so we will call the tension T=Ta=Tb and Tay=Tby

By trigonometry Tay=Ta·Sinθ

Since the system is in equilibrium W=Tay+Tby then:

W=2·Tay=2·Ta·Sinθ=2·T·Sinθ

Since W=mg, being m the mass of the bird and g, gravity:

$mg=2TSin\theta$

Isolating T, we demonstrate that

$T=\frac{mg}{2Sin\theta}$

b) Replacing θ=5º, m=0.026kg and g=9.8m/s² in the last equation, we can get the tension in Newtons:

$T=\frac{0.026*9.8}{2Sin5}=1.462N$

c) With θ=0.5º

$T=\frac{0.026*9.8}{2Sin0.5}=14.6N$

7 0

2 years ago

The value of which expressions is closes to e?

lukranit [14]

Answer:

what are the multiple choices

Step-by-step explanation:

6 0

2 years ago