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2 years ago

Christopher determines the system of s(x) and t(x) has only one solution.Which system is Christopher solving?

Mathematics

1 answer:

AlekseyPX2 years ago

8 0

Christopher is solving a system of equations that has one solution and can be seen in Option C.

<h3>What is a system of equations?</h3>

A system of equations is more than one equation that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.

A quadratic equation is an algebraic equation whose power is raised to the second degree.

However, if their power is not in one degree, they are regarded as a quadratic equation and it usually produces two solutions.

From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.

Learn more about systems of equations here;
brainly.com/question/14323743

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Solve by graphing u=v and 6u=2v-24

Vadim26 [7]

Answer:

$u=-6 \\ \\ v=-6$

Step-by-step explanation:

In this exercise, we have two equations, namely:

$u=v \ and \ 6u=2v-24$

And we are asked to solve this problem by graphing. In this way, we can write a system of linear equations in two variables, but first of all, let's rewrite:

$u=y \\ \\ v=x$

Then:

$\left\{ \begin{array}{c}y=x\\6y=2x-24\end{array}\right.$

So here we have two lines.

The first one is:

$\boxed{y=x}$

This line passes through the origin and has a slope $m=1$

The second one is:

$6y=2x-24 \\ \\ \therefore y=\frac{2x-24}{6} \\ \\ \therefore \boxed{y=\frac{1}{3}x-4}$

This line has a slope $m=\frac{1}{3}$ and cuts the y-axis at $b=-4$

By using graph tools, we get the graph shown below, then:

$x=-6 \\ \\ y=-6 \\ \\ \\ Since \ u=y \ and \ v=x, then: \\ \\ u=-6 \\ \\ v=-6$

8 0

3 years ago

A bird 7 feet in the air flies down to the ground.What integer would you use to represent the change in the bird's position?

Semmy [17]

When going down on a Cartesian coordinate system, you are moving in the negative direction, so-7

5 0

3 years ago

Read 2 more answers

A cola company decides to test five different brands of soft drink. The different brands have been labeled F, G, H, I, and J. Th

Yuki888 [10]

The answer is B) 20

Because you have 5 brands and you combine each with the 4 others, so 5*4=20

8 0

3 years ago

Read 2 more answers

What is 6254 rounded to the nearest hundred

kow [346]

To round to the nearest hundred, look at the tens place value. It is a 5. Remember that if the number is 5 or higher, round up, if 4 and lower, round down.

6254 rounded to the nearest hundred is 6300

6300 is your answer

hope this helps

3 0

3 years ago

GUYS HELP PLSS, I SWTG

n200080 [17]

Step-by-step explanation:

#1 equals 1 1/4

The common denominator for 1/6, 2/3, and 5/12 would be 12. So I made the denominators 12 which means 1/6 would turn into 2/12, 2/3 turns into 8/12, and 5/12 stays the same. When I add them all up I get 15/12. I can turn that into a mixed number which would be 1 3/12. I can simplify that down to 1 1/4.

#2 equals 3/4

The first thing you have to do is turn 2 2/3 and 1 3/4 into improper fractions. Which would turn 2 2/3 into 24/3 and 1 3/4 into 21/12. The next thing is you have to find a common denominator which would be 12. Next you have to turn the denominators into a 12 and change the numerator. Which makes the fractions: 24/12, 6/12, and 21/12. When you add 24/12 and 6/12 together you get 30/12 minus 21/12 you get 9/12. You can then simplify that to 3/4. 

#3 equals -1 17/36

The first thing you do is turn 3 5/18 into an improper fraction which would be 59/18. then you find a common denominator which would be 36 and make the denominators of those numbers into 36 which would be 11/36, 54/36, and 118/36. When you add up 11/36 and 54/36 you get 65. but when you - 65 by 118 you get -53 / 36. you can lend turn that into -1 17/36. 

I'm not sure about number 4 and I don't want to give you the wrong answer. Hopefully what I did show you helped!

4 0

2 years ago