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3 years ago

Analyze the solution set of the following system by

Mathematics

2 answers:

Lyrx [107]3 years ago

8 0

They all Intercept form

Feliz [49]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange the given equations into this form

2x + y = 5 ( subtract 2x from both sides )

y = - 2x + 5 ← in slope- intercept form

3y = 9 - 6x ( divide all terms by 3 )

y = 3 - 2x = - 2x + 3 ← in slope- intercept form

We have

y = - 2x + 5 and y = - 2x + 3

Both equations have a slope m = - 2

The equations of lines with equal slopes are Parallel lines

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1,000 pounds > < = 1 ton

scoundrel [369]

1000 pounds is less than 1 ton

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3 years ago

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Nayeli light a 4m² space with 12 candles. Citlali lights a 10m² space with 30 of the same type of candles. Whos space is lit bri

Norma-Jean [14]

Answer:

Both spaces have the same amount of brightness per square meter.

Step-by-step explanation:

Nayeli: 12 candles / 4 square meters is the same as 3 candles per square meter.

Citlali: 30 candles / 10 square meters is the same as 3 candles per square meter.

So both Nayeli's and Citlali's spaces have the same amount of brightness per square meter.

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2 years ago

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PLEASE HELP!!! Two towns are 1100 miles apart. A group of hikers starts from each town and walks down the trail toward each othe

Vinvika [58]

Answer:

2.54 miles/hr

2.04 miles/hr

Step-by-step explanation:

<u>Given: </u> Distance between the two towns = 1100 miles

Difference between speeds = $\frac{1}{2}$ miles/hr

Total time when they meet = 240 hours

Let distance traveled by first group = $x$ miles.

Now, the distance traveled by second group = (1100- $x$ ) miles/hr

The relation between Speed, Time and Distance is given as:

$\text{Speed =} \dfrac{\text{Distance}}{\text{Time}}$

Let speed of first group = $S_1$

$S_1 = \dfrac{x}{240}$

Let speed of second group = $S_2$

$S_2 = \dfrac{1100-x}{240}$

As per question, $S_1$ = $S_2$ + $\frac{1}{2}$

$\dfrac{x}{240} = \dfrac{1100-x}{240} + \dfrac{1}{2}\\\Rightarrow \dfrac{x}{240} - \dfrac{1100-x}{240} = \dfrac{1}{2}\\\Rightarrow \dfrac{x-1100+x}{240} = \dfrac{1}{2}\\\Rightarrow 2x - 1100 = 120\\\Rightarrow 2x = 1220\\\Rightarrow x = 610 ft$

Now,

$S_1 = \dfrac{x}{240}$

Putting value of $x$ :

$S_1 = \dfrac{610}{240}\\\Rightarrow S_1 = 2.54\ miles/hr$

Similarly, putting value of $x$ in $S_2$ :

$S_2 = \dfrac{1100-610}{240}\\\Rightarrow S_2=\dfrac{490}{240}\\\Rightarrow S_2 = 2.04\ miles/hr$

8 0

3 years ago

How long was each sprinkler used? The water output rate for the Rodriguez family's sprinkler was 15L per hour. The water output

Lelechka [254]

Answer:

Rodriguez family's sprinkler used for 40 hours

Perry family's sprinkler used for 15 hours.

Step-by-step explanation:

Let "x" be the number of hours Rodriguez family's sprinkler used and "y" be the number of hours Perry family's sprinkler used.

Now let's form two equations using the given information.

x + y = 55 ------------(1)

Using the output, we can form another equation.

15x + 20y = 900 -----(2)

Now we have to solve these two equations to find the number of hours each sprinkler used.

We can use substitution method to solve these two equations.

From the equation (1), we can write

x = 55 - y

Now plug in x = 55 - y in the equation (2), we get

15(55 - y) + 20y = 900

Using the distributive property a(b -c) = ab - ac, we get

15(55) - 15y + 20 y = 900

825 - 15y + 20y = 900

Simplifying the above equation, we get

5y = 900 - 825

5y = 75

Dividing both sides by 5, we get

y = 15

Now plug y = 15 in x = 55 - y to find the value of x.

x = 55 - 15

x = 40

So, Rodriguez family's sprinkler used for 40 hours

Perry family's sprinkler used for 15 hours.

3 0

3 years ago

when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and o

Zepler [3.9K]

Answer:

x-3 is cancelled and just one remains in numerator.

4 0

3 years ago