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goblinko [34]
3 years ago
6

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:

84

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)  

Where \mu=5.0 and \sigma=1.2

We are interested on this probability

P(X\geq 3.5)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

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

Part b

We are interested on this probability

P(X\leq 6.0)

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

Part 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

8 0
3 years ago
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