1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexxx [7]
3 years ago
11

On a piece of paper, graph the system of equations. Y=x-2 y=x^2-6x+8

Mathematics
2 answers:
Marianna [84]3 years ago
5 0

<u>ANSWER</u>

Option C.

<u>EXPLANATION</u>

The first equation is

y = x - 2

We can easily graph this straight line because it has a slope of 1 and a y-intercept of -2.

The second equation is

y =  {x}^{2}  - 6x + 8

This is a graph of a quadratic function. If we write this in vertex form, we can easily graph it using transformations.

We complete the square to get the function to the vertex form as follows:

y =  {x}^{2}  - 6x +9 + 8 - 9

y = (x { - 3)}^{2}  - 1

This quadratic graph has its minimum point (vertex) at (3,-1).

<h3><u>Points of intersection</u></h3>

To find the point of intersection of the two graphs, we equate the two functions and solve for x.

{x}^{2}  - 6x + 8 = x - 2

We rewrite in standard form

{x}^{2}  - 7x + 10 = 0

Factor to obtain

(x - 2)(x - 5) = 0

The solutions are

x = 2 \: and \: x = 5

When x=2, y=2-2=0

This gives (2,0) as a point of intersection.

When x=5, y=5-2=3.

This gives us (5,3) as another point of intersection.

The correct answer is option C.

pantera1 [17]3 years ago
4 0

Answer: C

Step-by-step explanation: graph both equations and see where they intersect. Use desmos.com/calculator

You might be interested in
What is the median of the ages shown in this stem-and-leaf plot? 59.5 58.5 59.0 58.0 Stem and leaf plot titled Ages of college p
AlexFokin [52]

Answer:

Median = 59.0

Step-by-step explanation:

According to the given data:

The data represents the signatures collected by different volunteers are as following in order from least to the greatest:

30, 32, 41, 44, 44, 45, 53, 55, 58, <u>59</u>, 62, 62, 62, 65, 66, 68, 75, 75, 76

And it is required to find the median:

The median of a data set is the middle data point.

The number of data set is 19

So, the median will be at the place number 10

<u>So, the median is 59</u>

8 0
3 years ago
Read 2 more answers
Solve for a: am=n+p <br><br> Help me
ss7ja [257]

Answer:

a = (n + p)/m

Step-by-step explanation:

just divide by m on both sides

hope this helped!

6 0
3 years ago
How do banks use deposits?
TEA [102]
As mentioned before, banks<span> basically make money by lending money at rates higher than the cost of the money they lend. More specifically, </span>banks<span> collect interest on loans and interest payments from the debt securities they own, and pay interest on </span>deposits<span>, CDs, and short-term borrowings.</span>
3 0
3 years ago
Reporting Category: Geometry Standard: 10 G.3 Recognize and solve problems involving angles formed by transversals of coplanar l
Alexxx [7]
The measure in degrees would be 15<span />
4 0
3 years ago
Any help with these two ratio problems are highly appreciated.
Lesechka [4]
A. 3 tbsp per 2 tsp
b. 135 pitches per 45 strikes
c. 128 miles per 4 hours
4 0
3 years ago
Other questions:
  • Mandy has three stuffed animals. Two of the animals have a mass of 200 grams each, and the third one has a mass of 250 grams. Wh
    5·2 answers
  • Find the mean, median, mode for the data set below.<br> 32, 20, 45, 20, 14, 7, 20
    7·2 answers
  • Help please asap thanks​
    15·1 answer
  • A certain slot machine has three identical independent wheels, each with 13 symbols as follows: 1 bar, 2 lemons, 2 bells, 2 plum
    8·1 answer
  • What else do i have to do to get full marks?​
    10·1 answer
  • Can someone help please!!
    6·1 answer
  • Which of the following is a rational number?
    11·1 answer
  • Jax used cubes to make the right rectangular prism below.
    9·1 answer
  • DeMarkus says that a store overcharged him on the price of the video game he bought. He thought that the price
    6·1 answer
  • Hint: Choose 3.<br> Linear functions create straight lines and can be written as y= mx + b
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!