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MatroZZZ [7]
3 years ago
8

Find the Y-Intercept -3x + 7Y = 21

Mathematics
2 answers:
ivann1987 [24]3 years ago
4 0
The answer is 3
Trust me dog
Andreas93 [3]3 years ago
4 0

Answer:

(0, 3)

Step-by-step explanation:

To find the y-intercept of a linear equation, we simply need to put the equation into "slope-intercept" form.  This will allow the y-intercept to be shown as the constant being added to the equation.  To put a linear equation into slope-intercept form, we simply need to solve for Y.  Let's do that.

-3x + 7Y = 21

3x + -3x + 7Y = 3x + 21

7Y = 3x = 21

(1 / 7) * 7Y = (3x + 21) * (1 / 7)

Y = (3x / 7) + (21 / 7)

Y = 3x/7 + 3

Now that we have the Y isolated, we can see the constant being added is 3.  Hence, the y-intercept is (0,3) since by definition the y-intercept is the point at which the line crosses the x axis (where x = 0).  If you plug x=0 into the equation, you get Y = 3.

Cheers.

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Amy and rob each improve thier yards by pmanting rose bushes and ivy. They brought thier supplies from the same store. Amy spent
Rzqust [24]

Answer: cost of 1 pot of ivy = $12

Cost of 1 rose bush =$ 10

Step-by-step explanation:

Step 1

Let rose bushes be represented as r

and pot of ivy be represented as p

such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as

7 r + p = 82----- eqn 1

Rob who spent 74 on 5 rose bushes and 2 pots of ivy can  be expressed as

5r +2 p = 74----- eqn 2

Step 2

Solving

7 r + p = 82----- eqn 1

5r +2 p = 74----- eqn 2

By elimination method Multiply eqn 1 by 5 and eqn 2 by 7

35r+ 5p= 410--- eqn 3

35r+ 14p =518--- eqn 4

Subtracting eqn 4 from eqn 3

9p = 108

p = 108/9

p=12

p = pot of ivy = $12

therefore rose bush  wll be ( from equation 1)

7r+ p= 82

7r=82-12

7r= 70 r= 70/7

r= rose bush =$ 10

5 0
3 years ago
Assume that during each second, a job arrives at a webserver with probability 0.03. Use the Poisson distribution to estimate the
Savatey [412]

Answer:

The probability that at lest one job will be missed in 57 second is=1- e^{-1.71} =0.819134

Step-by-step explanation:

Poisson distribution:

A discrete random variable X having the enumerable set {0,1,2,....} as the spectrum, is said to be Poisson distribution.

P(X=x)=\frac{e^{-\lambda t}({-\lambda t})^x}{x!}  for x=0,1,2...

λ is the average per unit time

Given that, a job arrives at a web server with the probability 0.03.

Here λ=0.03, t=57 second.

The probability that at lest one job will be missed in 57 second is

=P(X≥1)

=1- P(X<1)

=1- P(X=0)

=1-\frac{e^{-1.71}(1.71)^0}{0!}

=1- e^{-1.71}

=0.819134

6 0
4 years ago
83 1/5 -108 2/5 - (-99 1/5) =
KatRina [158]
<span>83 1/5 -108 2/5 - (-99 1/5) = 74</span>
5 0
3 years ago
Read 2 more answers
Simply 7/4 squared ​
klemol [59]

Answer:

0.4375

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The length of the
Trava [24]
I would estimate around 6 because say it was 6.5 and 3 then it would around the square root of like 31 and that is rounding down a lot so we would bump it up to somewhenre around 35 so the side would be around 5.8-6
4 0
3 years ago
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