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3 years ago

What is the equation of the line in slope-intercept form?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

8 0

Answer:

y = -3x + 4

Step-by-step explanation:

y = mx + b

y = y coordinate

m = slope (rise/run, up/over, change in y/change in x)

x = x coordinate

b = y intercept (where the line crosses the y-axis.

1. Write the equation y = mx + b

2. Substitute the numbers in the proper place. y = 3/1 x + 4

3. Check for the type of slope- (positive or negative) y = -3x + 4

(Downhill slopes are always negative.)

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Help me plz :))))) <br>

Vika [28.1K]

Answer:

2 3 1 3

Step-by-step explanation:

7 0

3 years ago

A women is twice as old as her daughter . twenty one years ago she was three times her daughter . What is the women's present ag

babymother [125]

Answer:

Step-by-step explanation:

women=x

daughter=y.

x=2y.

x-21=3(y-21).

2y-21=3y-63.

42=y.

x=84.

Hope this helps plz hit the crown :D

3 0

3 years ago

Read 2 more answers

The sum of two numbers is 60. one number is 4 times as large as the other. what are the numbers?

Tom [10]

Answer:

x+4x = 60

Step-by-step explanation:

5x=60

x=12

4x=48

answers are 12 and 48

5 0

3 years ago

The cables on either side of a pedestrian

galina1969 [7]

Answer:

6 ft

Step-by-step explanation:

Since the shape of the cables on the bridge are to open up, the standard equation of the parabola produced is given as:

(x - h)² = 4p(y - k)

Where (h, k) is the vertex and focus is at (h, k+p)

From the question, the point (0, 2) is the vertex and point (50, 27) lie on the parabola. Hence:

(x - 0)² = 4p(y - 2)

x² = 4p(y - 2).

Sinc the tower is 100 ft apart and 27 ft height, hence the point 100/2 = 50 ft and 27 ft lie on the parabola

To find p, use (50, 27)

50² = 4p(27 - 2)

2500 = 4p(25)

100p = 2500

p = 25

hence:

x² = 4(25)(y - 2)

x² = 100(y - 2)

At a point of 20 feet (i.e x = 20), y is the height of the cable, hence:

20²=100(y-2)

400 = 100y - 200

100y = 600

y = 6

The height is 6 ft at a point of 20 ft

7 0

3 years ago

A consensus forecastis the average of a large number of individual analysts’ forecasts. Suppose the individual forecasts fora pa

Crank

Answer:

a) $P(X\geq 3.5)=P(\frac{X-\mu}{\sigma}\geq \frac{3.5-\mu}{\sigma})=P(Z\geq \frac{3.5-5.0}{1.2})=P(Z\geq -1.25)$

And we can find this probability using the z table or excel

$P(Z \geq$

b) $P(X\leq 6.0)=P(\frac{X-\mu}{\sigma}\leq \frac{6.0-\mu}{\sigma})=P(Z\leq \frac{6.0-5.0}{1.2})=P(Z\leq 0.833)$

And we can find this probability using the z table or excel:

$P(Z \leq$

c) $P(3.5$

And we can find this probability on this way:

$P(-1.25$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-1.25$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the interest rate of a population, and for this case we know the distribution for X is given by:

$X \sim N(5.0,1.2)$