What is the vertex of y = - | x | + 4

Step-by-step explanation:

y

=

x

2

−

4

If the equation of a parabola is in the form:

y

=

a

x

2

+

b

x

+

c

we can find the  

x

-coordinate of its vertex using the following formula:

x

v

e

r

t

e

x

=

−

b

2

a

Comparing the problem equation with the form above, we see:

a

=

1

,

b

=

0

,

c

=

−

4

x

v

e

r

t

e

x

=

−

0

2

(

1

)

=

0

Now, we can plug this into the equation to find the  

y

-coordinate:

y

v

e

r

t

e

x

=

(

0

)

2

−

4

=

0

−

4

=

−

4

Therefore,

V

e

r

t

e

x

(

0

,

−

4

)

You can see the graph of this parabola below:

graph{x^2-4 [-10, 10, -5, 5]}

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3