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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
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Answer questions 15 and 17 show work pls
fredd [130]

Answer:

#15) B. 30 mn^5

#17) B. 1/2

Step-by-step explanation:

<h2>#15:</h2>

The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.

All of these measurements are given so all that you need to do is to substitute these values into the formula.

Substitute 3 for a, 9 for b, and 5 for h.

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Solve inside the parentheses first. Add 3 and 9.

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Multiply 12 and 1/2 together.

  • 6 * 5

Multiply 6 and 5.

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We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.

After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.

Therefore the final answer is B. 30 mn^5.

<h2>#17:</h2>

When going down from 32 to 8 to 2, you can see that each number is being divided by 4.

32 / 4 = 8...

8 / 4 = 2...

So to find the next number in this sequence you would divide 2 by 4.

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The answer is B. 1/2.

6 0
3 years ago
100 points PLEASE ANSWER ASAP thank you so much
uysha [10]

Answer:

X elevated to 21/25

Step-by-step explanation:

Exponent law say you have to multiplied the exponents:

(3/5)*(7/5) =

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The mistake was using sumatory instead multiplication.

Regards

7 0
2 years ago
Read 2 more answers
Systems of equations, help please?
lord [1]
4x + 3y = 54 (1)
3x + 9y = 108 (2)

Multiply (1) by (-3)
-12x - 9y = -162 
3x + 9y = 108
---------------------add
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   x = 6

plug x = 6 into (1) to find y
4(6) + 3y = 54
24 + 3y = 54
3y = 30
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Answer
(6 , 10)

Hope it helps.
3 0
3 years ago
Solving Linear equations 25 =x + 19
soldi70 [24.7K]

Steps to solve:

25 = x + 19

~Subtract 19 to both sides

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Best of Luck!

3 0
3 years ago
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poizon [28]

Answer:

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Step-by-step explanation:

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x is the number of feet away from the sprinkler head the spray

To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;

From the equation

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h(2) = 160-64

h(2) = 96feet

Hence the height will be 96feet if the spray is 2feet away from the sprinklers head

8 0
3 years ago
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