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1 year ago

Is (1, 3) a solution to the system of inequalities below?

Mathematics

1 answer:

Oxana [17]1 year ago

8 0

<h3>Substitute and Check:</h3>

$y > 2x + 1 \\ 3 > 2(1) + 1 \\ 3 > 3 \\ false$

<h3>We can stop here and conclude that ( 1 , 3 ) is not a solution to this system, since it does not even satisfy the first equation, but check for the other one just in case:</h3>

$y < - 3x \\ 3 < - 3(1) \\3 < - 3 \\ also \: false$

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Please I need this answered as quickly as you can!!

ozzi

Answer:

the answer is C

Step-by-step explanation:

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2 years ago

What is the answer for this question

Aliun [14]

-1/2 / 3/4 =

The first step is to flip the second fraction and change division to multiplication. Then multiply straight across.

-1/2 x 4/3 = -4/6

In simplified form:
-4/6 = -2/3

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2 years ago

What is the Y-intercept of (y-3)=1/3(x+4)

Debora [2.8K]

Answer: 0,13/3

Step-by-step explanation: Hope this helps - Lily ^_^

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2 years ago

A remote control car races straight down the street at 26 miles per hour. Two

Pachacha [2.7K]

Answer:

It will take 4 hours for the second car to catch up with the first car.

Step-by-step explanation:

The first step to solving this problem is determining the difference in speed between the first and second car - you can see that the second car (at 52mph) is twice as fast as the first (26mph) therefore it will take half the time to cover the same distance.

As Car 1 has a 2 hour head start, it will be 52 miles ahead after 2 hours.

In the next 2 hours, Car 1 will travel 52 miles - so 104 in total after 4 hours, and car 2 will travel 104 miles, meaning that it will have caught up after 4 hours.

To calculate distance per minute, divide the miles per hour by 60 (as there's 60 minutes in an hour), so:

Car 1 = 26/60 = 0.43 miles per minute

Car 2 = 52/60 = 0.867 miles per minute

To check your calculation, Car 2 should be exactly twice as far

B) The street, as far as we know, is at least 104 miles

C) See calculation at the top - the first car is 52miles from the start line when the second car starts

D) 2 cars are competing in this race

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2 years ago

Rearrange the equation so m is the independent variable.<br> -2m-5n=7m-3n<br> n=___

Aneli [31]

<h2>Answer:</h2>

The equation is given by:

$n=\dfrac{-9}{2}m$

<h2>Step-by-step explanation:</h2>

We are given a equation in terms of the variable m and variable n as follows:

$-2m-5n=7m-3n$

Now, we are asked to find the equation in terms of m i.e. we have to consider m as independent variable and n as dependent variable since it's value is to be expressed in terms of m.

Now, we add 5n on both the sides of the equation to get:

$-2m=7m-3n+5n\\\\i.e.\\\\-2m=7m+2n$

Now, we subtract 7m from both the sides of the equation to get:

$-2m-7n=2n\\\\i.e.\\\\2n=-9m\\\\n=\dfrac{-9}{2}m$

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2 years ago