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Alexeev081 [22]
2 years ago
11

Graph the line for y+1=−3/5(x−4) on the coordinate plane. Move Line Undo Redo Reset

Mathematics
1 answer:
dsp732 years ago
7 0

Answer:

The equation of  line is shown below.

Step-by-step explanation:

The equation of line is

y+1=\frac{-3}{5}(x-4)

It is the point slope form of a line, therefore the slope of the line is \frac{-3}{5} and the line passing through (4,-1).

Rewrite the above equation in slope intercept form.

y=\frac{-3}{5}x+\frac{12}{5}-1

y=\frac{-3}{5}x+\frac{12-5}{5}

y=\frac{-3}{5}x+\frac{7}{5}

The point slope form of a line is

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of the line is \frac{-3}{5} and the y-intercept of the line is \frac{7}{5}.

Slope is defined as

m=\frac{Rise}{Run}

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.

The y-intercept is (0,\frac{7}{5}).

(0-5,\frac{7}{5}+3)=(-5,\frac{22}{5})=(-5,4.4)

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.

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Step-by-step explanation:

it is nonlinear because if the numbers go up and then down then its not a straight line. therefore its not linear.

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I needddd helppppp. . . . . .
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Answer:

F. 5:4

Step-by-step explanation:

Solve for a and c to find the ratio of a to c:

  • 2a = 3b
  • a = 3/2(b)
  • 6b = 5c
  • c = 6/5(b)

Now, we can use the value of a and c to find the ratio of a to c:

  • (3/2(b))/(6/5(b))
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F. 5:4 is the correct answer

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Step-by-step explanation:

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A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identi
Tcecarenko [31]

Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = \dbinom{4}{0} × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = \dbinom{4}{1} × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

4 0
2 years ago
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