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Marrrta [24]
3 years ago
7

What is the solution of the quadratic system of equations? give brainliest and extra points!!

Mathematics
2 answers:
ololo11 [35]3 years ago
4 0

Try this solution:

The correct answer is 'a' only, where x= -4;-1 and y= -6;-21

kiruha [24]3 years ago
3 0

(- 1, - 6 ) from the list

Since both equations express y in terms of x, equate the right sides

x² + 10x + 3 = - x² - 5 ( add x² - 5 to both sides )

2x² + 10x + 8 = 0 ( divide all terms by 2 )

x² + 5x + 4 = 0

(x + 1 )(x + 4 ) = 0

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 4 = 0 ⇒ x = - 4

substitute these values into either of the 2 equations for y

x = - 1 : y = 1 - 10 + 3 = - 6 ( using y = x² + 10x + 3 )

x = - 4 : y = 16 - 40 + 3 = - 21

solutions are (- 1, - 6 ) or (- 4, - 21 )


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mihalych1998 [28]

Step-by-step explanation:

A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or in other words, the number being multiplied with the variable. For example, the 4 in 4x.

The expression is -3x + 1. If we go back to the definition, the coefficient is the number combined with the variable.

So the answer is -3.

Hope it helps!

3 0
3 years ago
What is the square root of y^3
tia_tia [17]

Answer:

y^{\frac{3}{2}

Step-by-step explanation:

Let m=\sqrt{y^3}

m=(y^3)^{\frac{1}{2}}\\\\m=y^{3\times \frac{1}{2}}\ \ \ \ \ \ \ \ \ [as\ (x^a)^b=x^{ab}]\\\\m=y^{\frac{3}{2}

7 0
3 years ago
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3 years ago
Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 28, the sum of the square
fgiga [73]

Answer:

Step-by-step explanation:

1) f(x) = x+y , xy = 49 --> f(x) = x+49/x

f '(x) = 1-49/x2 , x = ±√49 , choose x = +7

y = 49/x = 7

smaller = 7

larger = 7

2) Vertical Distance is difference between the two functions

V(x) = x+56 - x2, V '(x) = 1 -2x --> x = 1/2 --> V(1/2) = 56.25 <---Max Vertical distance

Boundary at -7 and 8 are less

3) I googled the equation, it is really y(n) = kn/(49+n2)

y '(n) = (k(49+n2) - 2kn2)/(49+n2) , Setting to zero, k(49+n2) -2kn2 = 0 , n = 7

4) Let x and y be the sides of the rectangle. A = xy = 37.5 Million or y = 37.5/x

The length of the fences is f(x) = 2x + 3y = 2x+112.5/x

f '(x) = 2-112.5/x2 --> x = √56.5 = 7.5 and y = 37.5/7.5 = 5 then scale by √Million

smaller = 5000 ft and larger = 7500 ft

this took me ages to work out so hopefully it helped

4 0
2 years ago
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Find the mean absolute deviation (MAD) of the data in the pictograph below
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Answer:

1

Step-by-step explanation:

5 0
2 years ago
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