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
Basile [38]
3 years ago
11

Solve the system of equations. y = x − 5 and y = x2 − 5x + 3 A. (-4,-9) and (-2,-7) B. (4,-9) and (2,-7) C. (4,-3) and (2,-1) D.

(4,-1) and (2,-3)
Mathematics
2 answers:
tankabanditka [31]3 years ago
6 0

Answer: (4, -1) and (2, -3) (D)

Step-by-step explanation:

From equation (1)

y = x- 5 ------------------- 1

y = x² -5x + 3 ------------2

Equate the 1 and 2 together since they are the same y, if plotted on the graph it is going to be quadratic and linear .

Now solve the two together becomes

x² - 5x + 3 = x - 5

x²- 5x - x + 3 + 5 = 0

x² - 6x + 8 =0

Solve using any method

x² - 2x - 4x + 8 =0

Here I used grouping methof

x(x - 2) - 4(x - 2) = 0

(x - 2)(x - 4) = 0

x = 2 or 4.

Now to find y,

Consider equation 1 by substitute for x

y = x - 5

When x = 2, y = 2 - 5

y = -3,

When x = 4, y = 4 - 5

y = -1

The coordinate

= (2, - 3) ; ( 4, -1)

Therefore the answer is D.

larisa [96]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = x - 5 → (1)

y = x² - 5x + 3 → (2)

Substitute y = x² - 5x + 3 into (1)

x² - 5x + 3 = x - 5 ← subtract x - 5 from both sides

x² - 6x + 8 = 0 ← in standard form

(x - 2)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 4 = 0 ⇒ x = 4

Substitute each of these values into (1) for corresponding values of y

x = 2 → y = 2 - 5 = - 3 ⇒ (2, - 3 )

x = 4 → y = 4 - 5 = - 1 ⇒ (4, - 1 )

You might be interested in
Helpmepleaseeeeeeee<br> 1.
Vedmedyk [2.9K]
1. <span><span>7 2/9</span>−<span>4 <span>2/3</span></span></span><span>=<span>2 <span>5/9</span></span></span><span>(Decimal: 2.555556)</span>
4 0
3 years ago
Read 2 more answers
Women's heights are normally distributed with a mean given by p = 63.6 in. and a standard deviation given by o = 2.5 in. (a) If
Ganezh [65]

Step-by-step explanation:

I am sorry question samajh Nahin a Raha question dijiye

4 0
3 years ago
Which of the numbers 285, 629, 5490, 15708, 43695 are divisible by 3 but not by 9?
Ne4ueva [31]

Answer:

285

Step-by-step explanation:

285÷3=95

285÷9=31.6666

3 0
2 years ago
Read 2 more answers
If mAGF = mBGC = mDGC = mEGF = 70°, what is mAGB?<br> A.40° <br> B.70° <br> C.110° <br> D.35°
Tresset [83]
B it's going to work
7 0
3 years ago
F. determine if (x + 3) is a factor of (x) = 2x3 + x2 –8x + 21 by using synthetic division. if so, find the other factors.
babymother [125]
Since its x + 3 we use -3


-3| 2      1      -8      21           (these are the # without the x)
___________________

            -6     15     -21      
-------------------------------
    2      -5      7        0               
 
Drag the 2 down, multiple it by -3 to get -6 
1+(-6) = -5. -5 * -3 =15 . 15+(-8) = 7
7*-3 = -21. -21 +21 = 0 
Since last # is 0 we have a factor.


 factor is 2x^2 -5x -7 (we start with a power 1 less the original.)

<span />
4 0
3 years ago
Other questions:
  • Subtract negative 24 from 11.
    13·2 answers
  • The rectangle graphed has a length of 5 and a width of 4 how does the perimeter change when the width is decreased by half
    15·1 answer
  • Can anyone help me with this equation? I’m so lost. Thanks in advance
    10·1 answer
  • An isosceles triangle two sides equal is placed on top of the square as shown in the picture if the two equal sides are 22 ft lo
    11·1 answer
  • Thomas earns 15 per hour if he recurved a 10% per hour pay increase how much does Thomas now make per hour
    9·1 answer
  • NEED HELP ASAP WILL GIVE BRAINLIEST
    14·1 answer
  • Please help Asap if possible
    12·2 answers
  • Use the graph to complete the statement
    5·1 answer
  • Please help
    6·1 answer
  • Does anyone know the answer to this problem?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!