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DanielleElmas [232]
2 years ago
13

Trey graphs the equations y = –x2 + 2x + 3 and y = x2 – 2x + 3 to solve the equation –x2 + 2x + 3 = x2 – 2x + 3. His graph is sh

own below.
What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
Mathematics
1 answer:
BARSIC [14]2 years ago
5 0

The solution of the equation -x^2 + 2x + 3 = x^2 - 2x + 3 are the x-coordinates of common points on the graphs are x=0 and x=2.

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

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

As we can see from the attached graph these graphs intersect at points (0,3) and (2,3).

The system of equation are;

y = x^2 + 2x + 3 \\y = x^2 - 2x + 3

So,

-x^2 + 2x + 3 = x^2 - 2x + 3 \\\\2x^2 - 4x = 0\\\\2x ( x - 2) = 0

Then the solutions of the equation are x=0 and x=2.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

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What is the answer to this question <br> 2x + x + x + 2y x 3y x y
nikklg [1K]

Answer:

2 x (3 y^3 + 2)

Step-by-step explanation:

Simplify the following:

2 x + x + x + 2×3 y y x y

2 y×3 y = 2 y^2×3:

2 x + x + x + 2×3 y^2 x y

2×3 = 6:

2 x + x + x + 6 y^2 x y

6 y^2 x y = 6 y^(2 + 1) x:

2 x + x + x + 6 y^(2 + 1) x

2 + 1 = 3:

2 x + x + x + 6 y^3 x

Grouping like terms, 2 x + x + x + 6 y^3 x = 6 x y^3 + (2 x + x + x):

6 x y^3 + (2 x + x + x)

2 x + x + x = 4 x:

6 x y^3 + 4 x

Factor 2 x out of 6 x y^3 + 4 x:

Answer: 2 x (3 y^3 + 2)

3 0
3 years ago
A student walked 100 meters north, then 100 meters west. how many more meters did the student walk compared to their total displ
seraphim [82]

Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.

If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).

Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.

c^2 = a^2 + b^2

where c is the total displacement from the starting point to the end point

a is the distance he walks up north

b is the distance he walks to the west

c^2 = 100^2 + 100^2

c^2 = 10,000 + 10,000

c^2 = 20,000

c = 141.42 meters

Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.

100 meters + 100 meters - 141.42 meters = 53.58 meters

Learn more about Pythagorean Theorem here: brainly.com/question/343682

#SPJ4

4 0
1 year ago
PLEASE HELP ASAP! TYSMM
DerKrebs [107]
This is in the lower right corner and is a right triangle.  So we use the Area calculation of a right triangle.

<u>ab</u>    =  <u>(4)(2)</u>    The height is given as 4 in and we know the base is 2 in
 2             2            We know this because the top right distance is given as 2
          
              8 / 2 = 4 square inches

7 0
3 years ago
4h + 14 &gt; 38 <br> What’s the answer
Ivanshal [37]

Answer:

Inequality Form:

h > 6

Interval Notation:

( 6 , ∞ )

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

8 0
3 years ago
Read 2 more answers
A car drives 800 meters in 200 seconds. What is it’s speed?
wel

Answer:

8m/s.

Step-by-step explanation:

This question really depends on the answer because the units matter. Is it miles per second? Kilometers per second? We'll just assume it's meters per second so this question could be answered the easiest.

Meters/seconds=800meters/200seconds=(simplified) 8m/s

3 0
2 years ago
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