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Mashutka [201]
3 years ago
11

Y 2 - x +4 x+y<0 someone plz help me

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0
Are these two separate questions?
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Does anyone, know how to do this???
Greeley [361]

Answer:

The x intercepts are x=-4 and x=2

axis of symmetry x=-1

vertex (-1,-9)

D: {x: all real numbers}

R: {y: y≥ -9}

Step-by-step explanation:

f(x) = x^2+2x-8

y= x^2+2x-8

Factor the equation

What 2 numbers multiply to -8 and add to 2

4*-2 = -8

4+-2 =2

y = (x+4) (x-2)

The x intercepts are found when we set y =0

0=  (x+4) (x-2)

Using the zero product property

x+4=0   x-2 =0

x=-4 and x=2

The x intercepts are x=-4 and x=2

The axis of symmetry is halfway between the x intercepts.  It is symmetric must be in the middle of the x intercepts

1/2 (-4+2) = 1/2(-2) = -1

The axis of symmetry is at x=-1

To find the vertex, it is along the axis of symmetry.  Substitute x=-1 into the equation

y = (x+4) (x-2)

y = (-1+4) (-1-2)

  =3*-3

  =-9

The vertex is (-1,-9)

The domain is the values that x can take

x can be any number

D: {x: all real numbers}

The range is the values that y can take

since the parabola opens upward, the vertex is the minimum,Y must be greater than or equal to -9

R: {y: y≥ -9}

3 0
3 years ago
Square Root Functions <br> Help!
Montano1993 [528]

Answer:

f(x)=\sqrt{x-1}

Step-by-step explanation:

Hello there!

I take it you are asking for the expression of the function shown.

Since it is a normal square root function moved 1 unit to the right, you will subtract 1 from x.

:)

5 0
3 years ago
Read 2 more answers
If you only have the original price ($24.50) and the discount is 18% how do you find the sale price?
liberstina [14]
24.5 x (1-18%)
=$20.09
4 0
3 years ago
What is the difference?
myrzilka [38]
The answer is D because denominators on a subtraction problem with fractions stay the same and (x+2)(x+1) is the simplified way of x squared +3x+2
5 0
3 years ago
Slope of a line perpendicular to 5x -9y = 1
romanna [79]

The perpendicular line would have a slope of 1/3.

Perpendicular lines have opposite and reciprocal slopes. So first we have to find the slope of the original line. We can do this by solving the equation for y.

5x - 9y = 1

-9y = -5x + 1

y = 5/9x - 1/9

To do the opposite, take the original slope (5/9) and change the sign (-5/9).

To do the reciprocal, take the slope we changed (-5/9) and flip it as a fraction (-9/5).

This gives us a new slope of

7 0
3 years ago
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