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3 years ago

Solve the following quadratic-linear system of equations. y=x^2-x-6 and y=2x-2

2 answers:

8 0

You can do substitution 2x-2=x^2 -x -6; isolate all terms on one side 0= x^2 -x-2x -6+2; combine like terms x^2 -3x -4=0; factor the quadratic (x-4)(x+1)=0; each term is zero x-4=0 so x=4 and x+1=0 so x=-1. Now, y=2•4-2=6 and y=2•(-1) -2= -4 ; solutions for the system are ( 4,6) and ( -1, -4)

dimaraw [331]3 years ago

7 0

Answer:

(4,6) or (-1,-4)

Step-by-step explanation:

since both equations about x are equal to y, you can make x^2-x-6=2x-2

solve this quadratic equation, you get x=4 or -1

substitute x into y=2x-2

you get y=6 when x=4, or y= -4 when x=-1

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Function P is represented as y = 1 2 x + 4 . Function Q is graphed. Which statement is correct? The slope of function Q is 1 2 t

vivado [14]

Answer:

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Step-by-step explanation:

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3 years ago

WILL GIVE BRAINLIEST! Find the equation of a line that passes through (-5,-2) and the intersection of the lines x+3y=0 and 4x-4y

Verdich [7]

Answer:

y + 2 = -0.069(x-+5)

Step-by-step explanation:

SInce the two lines intersects, we will equate it

Multiply x + 3y = 0 by 4;

4x + 12y = 0

4x-4y-13 = 0,

Subtracts both

12y +4y + 13 = 0

16y = 13

y = 13/16

get x;

x + 3(13/16) = 0

x = -39/16

The point of intersection is (0.8, -2.4) and (-5,-2)

Get the equation;

m = y2-y1/x2-x1

m = -2+2.4/-5-0.8

m = 0.4/-5.8

m = -0.069

Get the equation;

y - y0 = m(x-x0)

y - (-2)= -0.069(x-(-5))

y + 2 = -0.069(x-+5)

6 0

3 years ago

An aircraft is approaching the runway to land The aircraft is at a height of h= 314 meters from the runway. The angle of

Shtirlitz [24]

Answer:

easy peasy

Step-by-step explanation:

u see,

the height of the airplane from the ground is 314m

but with the tower's horizontal plane, it would be

=> altitude of aircraft - height of tower

=> 314 - 70 = 244 m

now in the ABC,

using the ratio of sine,

sin 16 = AB/AC

=> 0.275 = 244/AC

=> AC = 244/ 0.275

=> AC = 887.9...

=> AC = approx. 886 meters

4 0

3 years ago

ms. jeffers is splitting $775 among her three sons. of the oldest gets twice as much as the youngest and the middle son gets $35

Angelina_Jolie [31]

The oldest son will get $370, the middle will get $220 and the youngest will get $185.

Step-by-step explanation:

Given,

Total amount to be split = $775

Let,

Oldest son's share = x

Middle son's share = y

Youngest son's share = z

According to given statement;

x+y+z=775 Eqn 1

the oldest gets twice as much as the youngest

x = 2z Eqn 2

the middle son gets $35 more than the youngest

y = z+35 Eqn 3

Putting value of x and y from Eqn 2 and 3 in Eqn 1

$2z+(z+35)+z=775\\2z+z+35+z=775\\4z=775-35\\4z=740\\$

Dividing both sides by 4

$\frac{4z}{4}=\frac{740}{4}\\z=185$

Putting z=185 in Eqn 2

$x=2(185)\\x=370$

Putting z=185 in Eqn 3

$y=185+35\\y=220$

The oldest son will get $370, the middle will get $220 and the youngest will get $185.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

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3 years ago

Cierra has 3 more than one half as many purses as Aisha define the variable and write an expression to represent the number of p

77julia77 [94]

Cierra has 9 purses..

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3 years ago