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
serious [3.7K]
3 years ago
8

Which of the following ordered pairs represents the solution to the system given below?

Mathematics
1 answer:
kupik [55]3 years ago
3 0
I am 100% sure it is (3,21) I hope I helped you and I  hope you have a great reast of the week and weekend
You might be interested in
Graph the line and the parabola and find the points of intersection: y= 3-x ; y=x(squared)+x-12
melomori [17]

Answer:

Step-by-step explanation:

We have to graph a line y = 3 - x which has the slope = -1 and y intercept 3.

We will select two points where line intersects at x = 0 and y = 0

The given line will intersect x-axis at (3, 0) and at y- axis (0, 3).

Joining these two points we can draw a straight line showing y = -x + 3

Now we will draw the parabola given by equation y = x² + x - 12

We will convert this equation in vertex form first to get the vertex and line of symmetry.

Standard equation of a parabola in vertex form is

y = (x - h)² + k

Where (h, k) is the vertex and x = h is the line of symmetry.

y = x² + x - 12

y = x² + 2(0.5)x + (0.5)²- (0.5)²-12

y = (x + 0.5)² - 12.25

Therefore, vertex will be (-0.5, -12.25) and line of symmetry will be x = 0.5

For x intercept,

0 = (x + 0.5)² - 12.25

x + 0.5 = ±√12.25

x = -0.5 ± 3.5

x = -4, 3

For y- intercept,

y = (0+0.5)² - 12.25

 = 0.25 - 12.25

y = -12

So the parabola has vertex (-0.5, - 12.25), line of symmetry x = 0.5, x intercept (4, 0), (and y-intercept (0, -12).

Now we have to find the points of intersection of the given line and parabola.

For this we will replace the values of y

3 - x = x² + x - 12

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x(x + 5) - 3(x + 5) = 0

(x - 3)(x + 5) = 0

x = 3, -5

For x = 3

y = 3- 3 = 0

For x = -5

y = 3 + 5 = 8

Therefore, points of intersection will be (3, 0) and (-5, 8)

 

4 0
3 years ago
| 3 x - 2 | = 4x + 4
Ugo [173]

Answer: -2/7

|3x - 2| - 4x = 4

1) (3х - 2) - 4х = 4, if 3x - 2 >= 0

2) -(3x - 2) - 4x = 4, if 3x - 2 < 0

1)

3х - 4х = 4 + 2

-x = 6

x = -6

3х - 2 >= 0

3х >= 2

x >= 2/3 - wrong

2)

-3х + 2 - 4х = 4

-7х = 2

x = -2/7

3x-2<0

3x<2

3(-2/7)<2-right

5 0
3 years ago
The line of reflection is the ____. y-axis, center of rotation, x-axis
nydimaria [60]

Answer:The line of reflection is the y axis

Step-by-step explanation:

8 0
3 years ago
If $120.00 is borrowed for 3 years at 5% how much interest will be generated by the end of the loan? please answer will mark bra
Doss [256]

Answer:

I = prt / 100

120x3x5 / 100

= 18

6 0
3 years ago
I need help with this math question
Oksanka [162]

1.254 × 10 ^11

would be the answer

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is 2(5-n) in a word phrase
    8·1 answer
  • 2. Use the image below to answer problems A-C. Show all work.
    9·1 answer
  • Consider the circle above. What is the approximate area of the circle?
    12·1 answer
  • 5 PIONTS+ BRAINLYESS
    13·2 answers
  • What is 646.63 meters to centimeters
    8·1 answer
  • Use the distributive property to write equivalent expressions. <br><br> Someone please help, ty!
    10·1 answer
  • On a number line 7.29 and -7.29 are the same point. true or false
    6·1 answer
  • Midpoints...........
    9·2 answers
  • Une machine sert à fabriquer tous les triangles rectangles (uniques en termes de proportions) dont les côtés ont pour
    7·1 answer
  • Solve for x.<br> A. 9<br> B. 12<br> C. 1<br> D. 7
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!