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4 years ago

What is the y intercept of a graph containing the two points (3,1) and (7,-2)?

Mathematics

1 answer:

svetlana [45]4 years ago

6 0

Answer:

3.25

Step-by-step explanation:

The slope of the line is ∆y/∆x = (-2-1)/(7-3) = -3/4.

The point-slope form of the line with slope m through (h, k) is ...

y -k = m(x -h) . . . . . . . . . . we have m=-3/4, (h, k) = (3, 1)

y -1 = -3/4(x -3)

The y-intercept is the point on the line where x=0. For x=0, the value of y is ...

y = -3/4(-3) +1 = 9/4 +4/4

y = 13/4 = 3 1/4

The y-intercept is 3 1/4.

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Find the area of the rectangle with the length 2x-4 and height of -3

denis-greek [22]

Answer:

-3(2x-4) or -6x+12

Step-by-step explanation:

Area is H*W

theres no value for x so that would be it, unless there is then all you do is plug that into the answer I put.

8 0

3 years ago

What is the equivalent fraction of 56/8

zhenek [66]

The answer is 7/1 or just 7

8 0

3 years ago

Read 2 more answers

The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability t

Svetlanka [38]

Answer:

$P(X = 5) = 0.166$

Step-by-step explanation:

Given

$Mean = 4.3$

$x = 5$

Required

Determine the probability that the order is 5

This question can be answered using Poisson distribution.

$P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}$

Where

$\alpha$ is used to represent the mean

and

$\alpha = 4.3$

$x = 5$

$e = 2.71828$ ---- Euler's constant

So, we have:

$P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}$

$P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}$

$P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}$

$P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}$

$P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}$

$P(X = 5) = \frac{19.9469850243}{120}$

$P(X = 5) = 0.1662248752$

$P(X = 5) = 0.166$ Approximated

6 0

3 years ago

Geometry

trapecia [35]

Answer:

EF = 8

Step-by-step explanation:

The following data were obtained from the question:

EF = 2x

FG = 8

EG = 4x

EF =?

To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:

EG = EF + FG

EF = 2x

FG = 8

EG = 4x

4x = 2x + 8

Collect like terms

4x – 2x = 8

2x = 8

Divide both side by 2

x = 8/2

x = 4

Therefore, the value of x is 4.

Finally, we shall determine the the value of EF as follow:

EF = 2x

x = 4

EF = 2x

EF = 2(4)

EF = 8

**** Check ****

EG = EF + FG

EF = 2x

EG = 4x

FG = 8

4x = 2x + 8

x = 4

4(4) = 2(4) + 8

16 = 8 + 8

16 = 16

4 0

3 years ago

Write and solve an equation to answer the question.

julsineya [31]

.85x=10.2
your answer is x = 12

7 0

4 years ago