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
ElenaW [278]
3 years ago
6

Give all solutions if the nonlinear system of equations, including those with no real complex components.

Mathematics
2 answers:
Ksivusya [100]3 years ago
6 0
Y=x^2+6x
Apply the value of y into the equation below:
4x-y=-24
4x-(x^2+6x) = -24
4x-x^2-6x = -24
x^2+2x-24=0
(x+6)(x-4)=0
Therefore x can be -6 or 4
If x = -6
Then y = (-6)^2+6(-6) = 36 -36=0
If x = 4
Then y = (4)^2 + 6(4) = 16 + 24 = 40<span>
</span>
konstantin123 [22]3 years ago
4 0
\left\{\begin{array}{ccc}y=x^2+6x\\4x-y=-24\end{array}\right\\\\substitute:\\\\4x-(x^2+6x)=-24\\\\4x-x^2-6x+24=0\\\\-x^2-2x+24=0\\\\a=-1;\ b=-2;\ c=24\\\\\Delta=b^2-4ac

\Delta=(-2)^2-4\cdot(-1)\cdot24=4+96=100\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\x_1=\frac{2-10}{2\cdot(-1)}=\frac{-8}{-2}=4;\ x_2=\frac{2+10}{2\cdot(-1)}=\frac{12}{-2}=-6\\\\y_1=4^2+6\cdot4=16+24=40;\ y_2=(-6)^2+6\cdot(-6)=36-36=0\\\\Answer:\\x=4\ and\ y=40\ or\ x=-6\ and\ y=0
You might be interested in
FIND THE MISSING SIDE LENGTH MATH HELP!!
Tom [10]

Answer:

n = 12

Step-by-step explanation:

4/6 = 8/n

4n = 48

n = 12

5 0
2 years ago
Help please! I need answers quickly :((
Rzqust [24]

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-2}{4-0} = \frac{-2}{4} = - \frac{1}{2}

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = - \frac{1}{2} x + 2 ← equation of line

5 0
3 years ago
Read 2 more answers
The circumference of a circle is 704 cm,find its area
Digiron [165]
The circumferince of the circle is 2πR ;
The area of the circle is πR^{2};
Then, 2πR = 704 ;
R = 352 / π ;
πR^{2} = π × ( 352 / π )^2 = ( 352^2) / π = 123904 / π ≈ 39459.87 ≈ 39460 cm^2 ;
5 0
2 years ago
Read 2 more answers
Find the value of x please
Evgesh-ka [11]

Answer:

x = 170/34 = 5

Step-by-step explanation:

The sum of angle 1 and angle 2 is 180 degrees. They form a straight line.

So, just add the two equations together, set them equal to 180 and solve for x.

12x+19 + 22x - 9 = 180

34x + 10 = 180

34x = 180 - 10 = 170

x = 170/34 = 10/2 = 5

8 0
2 years ago
In the graph below, the area above f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where
drek231 [11]

Answer: OPTION C.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be or >.

Since the shaded region A is above the line, the symbol is >

Observe that its y-intercept is:

b=3

The line of g(x) is solid. This means that the symbol of the inequality must be \leq or \geq.

Since the shaded region B is below the line, the symbol is\leq .

Observe that its y-intercept is:

b=-2.

Based on this, we can conclude that the graph represents the following System of Inequalities:

\left \{ {{y\leq 2x -2} \atop {y >-x + 3}} \right.

8 0
3 years ago
Other questions:
  • indira, bonnie and chang all work at the same pet store. indira works every other day. bonnie works every fourth day. chang work
    8·1 answer
  • Need some answer please
    9·1 answer
  • 20 POINTS PLEASE HELP!!!!!!!
    5·1 answer
  • I NEED HELP ASAP!!!!!!
    11·1 answer
  • I have 24 sunflowers in a container Miss Mason buys one fourth of the flower mr. Kim buice one-third of the flowers some flowers
    5·2 answers
  • Find an acute angle whose sine is 0.52
    9·1 answer
  • Which angle is congruent to BGC?
    7·2 answers
  • The sides of a quadrilateral are in ratio 1:2:3:4 if the perimeter is 40cm. find the length of each sides​
    14·1 answer
  • 4/5 divided by 1/3 = <br><br> hurry up gamers
    14·2 answers
  • Eight less than four times a number is less than 56. What are the possible values of that number?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!