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3 years ago

Graphing linear equations y+5=-2(x-2)

Mathematics

1 answer:

levacccp [35]3 years ago

6 0

First put the equation in y=mx+b form then plot the b and count off the slope.

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60 marks out of 75 full marks<br>express in percent<br><br>

DochEvi [55]

80 percent

Explanation:
Divide 60 by 75 and get the outcome of .80

3 0

2 years ago

Read 2 more answers

A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (5, 3), as shown in the figur

Whitepunk [10]

The area of the triangle as a function of x is A = 3x^2/[2(x -5)] and the domain is x > 5

<h3>Write the area A of the triangle as a function of x</h3>

From the figure, we have the following points:

(0,y), (5,3), and (x,0)

Next, we calculate the slopes between the points.

This is calculated as follows:

Slope between (0,y) and (5,3) = [y - 3]/[0 - 5] = [3 - y]/5
Slope between (5,3) and (x,0) = [3 - 0]/[5 - x] = 3/[5 - x]

The slopes are equal.

So, we have:

[3 - y]/5 = 3/[5 - x]

Cross multiply

(3 - y)(5 -x) = 15

Divide by 5 - x

(3 - y) = 15/(5 -x)

This gives

y = 3 - 15/(5 -x)

This gives

y = [15- 3x - 15]/[5 - x]

Evaluate

y = 3x/(x - 5)

The area is calculated as:

Area = 1/2 * xy

So, we have:

Area = 1/2 * x * 3x/(x - 5)

Evaluate

Area = 3x^2/[2(x -5)]

Hence, the area of the triangle as a function of x is A = 3x^2/[2(x -5)]

<h3>The domain of the function</h3>

We have:

A = 3x^2/[2(x -5)]

Set the denominator > 0

2(x - 5) > 0

Divide by 2

x - 5 > 0

Add 5 to the sides

x > 5

Hence, the domain is x > 5

Read more about domains at:

brainly.com/question/2428614

#SPJ1

6 0

1 year ago

Marie is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year. U

kogti [31]

Answer:

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Forecast of rain.

Event B: Raining.

In recent years, it has rained only 5 days each year.

A year has 365 days. So

$P(B) = \frac{5}{365} = 0.0137$

When it actually rains, the weatherman correctly forecasts rain 90% of the time.

This means that $P(A|B) = 0.9$

Probability of forecast of rain:

90% of 0.0137(forecast and rains)

10% of 1 - 0.0137 = 0.9863(forecast, but does not rain)

$P(A) = 0.0137*0.9 + 0.9863*0.1 = 0.11096$

What is the probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

$P(B|A) = \frac{0.0137*0.9}{0.11096} = 0.1111$

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

3 0

2 years ago

(07.02)

maw [93]

Answer:

Step-by-step explanation:

Its 3x because if you dont know the amount of months which is x and she buys 3 songs every month it equals 3x

5 0

2 years ago

2. An Evergreen Eagle flies about 13 meters in one second. How many kilometers could it fly in 20 minutes? *

Salsk061 [2.6K]

Answer:

Evergreen Eagle can will fly 1.56 km in 20 minutes.

Step-by-step explanation:

Speed of Evergreen Eagle = $\frac{\text{Distance}}{\text{Time}}$

= $\frac{13}{1}$

= 13 meters per second

With this speed Eagle can fly the distance in 20 minutes Or 120 seconds

= Speed × Time

= 13 × 120

= 1560 meters

Since, 1000 meters = 1 Km

1 meter = $\frac{1}{1000}$ km

Therefore, 1560 meters = $\frac{1560}{1000}$

= 1.56 km

Therefore, Evergreen Eagle can will fly 1.56 km in 20 minutes.

3 0

3 years ago