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
Zolol [24]
3 years ago
11

Which Graph correctly solves the equation below? -1/2x^2 +2 = 2x^2 -8

Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0

Answer:

see attachment

Step-by-step explanation:

The given equation is

-  \frac{1}{2}  {x}^{2}  + 2 = 2 {x}^{2}  - 8

The graph of the left hand side of this equation is

y =  -  \frac{1}{2}{x}^{2}  + 2

This quadratic graph has its vertex at (0,2) and turns upside down.

The right hand side of the equation is

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

This quadratic graph opens upwards and has its vertex at (0,-8).

The two graphs intersects at two points , which are (-2,0) and (2,0).

You might be interested in
Six friends go to a movie theater. In how many different ways can they sit together in a row of six empty seats?
ZanzabumX [31]

Answer:

720

I think..i hope it helps

7 0
3 years ago
Read 2 more answers
I need some help on these 3 questions :)
wlad13 [49]

The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

<h3>How to simplify the expressions?</h3>

<u>Factor of the polynomial</u>

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

<u>The length of the pool</u>

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

<u>Simplify the expression</u>

The expression is given as:

(3s^2 - 2s + 1) \div (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

Read more about algebraic expressions at:

brainly.com/question/2164351

3 0
2 years ago
Find the value of x
Ahat [919]

recall that a circle has a total of 360°.

so that missing central angle is then 360° - 110° - 65° - 90°. Well, the arc's angle measurement is the same as the central angle they're in, so the x° is the same as 360° - 110° - 65° - 90°.

4 0
3 years ago
C is the midpoint of chord AB and D is the midpoint of arc AB.Given that AB=36 unit and CD=6 unit then What is the radius of cir
Anna71 [15]

Answer:

By power of a point, AC⋅CB=DC⋅CE. That is, 12⋅12=6⋅(2R–6).

Then, R=15.

5 0
3 years ago
Read 2 more answers
A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?
kotykmax [81]

Answer:

\huge\boxed{y-4=8(x+6)}

Step-by-step explanation:

The equation of a line in the point-slope form:

y-y_1=m(x-x_1)

m-slope\\\\(x_1;\ y_1)-point

We have:

m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4

Substitute:

y-4=8(x-(-6))\\\\y-4=8(x+6)

4 0
2 years ago
Other questions:
  • Find the domain and range of the relation, and determine whether it is a function.
    14·1 answer
  • PLEASE HELP IM BEING TIMED
    8·2 answers
  • Suppose that the scatterplot of (log x, log y) shows a strong positive correlation close to 1. Which of the following are
    9·1 answer
  • Benny displays his model cars on shelves in his room. He has 4 cars on each of 4 shelves and 2 cars on another shelf. Write the
    14·1 answer
  • Please do this for me
    7·1 answer
  • Need help on this.....
    12·1 answer
  • LOOKS EASY !! NO FILES/LINKS THX
    10·2 answers
  • Bruno is a manager at a factory that makes in-line skates. The
    14·1 answer
  • PLEASE HELP BEST ANSWER GETS BRAINLYEST
    11·1 answer
  • Triangle ABC is an isosceles right triangle. What is the measure of one base angle?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!