All categories

3 years ago

What is the vertex form of the equation Y=-x^2-12x-4 Please show all the steps

Mathematics

1 answer:

denis-greek [22]3 years ago

5 0

Answer:

$\boxed{\bold{y=-(x+6)^2+32}}$

Step-by-step explanation:

$y=-x^2-12x-4\\\\y=-(x^2+12x)-4\\\\y=-(\underline{x^2+2\cdot x\cdot6+6^2}-6^2)-4\\\\y=-\left[(x+6)^2-36\right]-4\\\\y=-(x+6)^2+36-4\\\\\bold{\underline{y=-(x+6)^2+32}}$

You might be interested in

suppose the linear regression line y= 2.4x + 3.1 predicts the time,in minutes it takes you to be served at a food stand if there

Scorpion4ik [409]

Answer:

Just substitute "x" with "3".

Step-by-step explanation:

y = 2.4x + 3.1

y = 2.4(3) +3.1

y = 7.2 + 3.1

y= 10.3

Answer: 10.3 minutes

3 0

4 years ago

Read 2 more answers

PLEASE HELP!!!!! What is the value of x in the matrix equation below?

Brums [2.3K]

The given matrix equation is,

$1.5\left[\begin{array}{cc}x&6\\8&4\end{array}\right] +y\left[\begin{array}{cc}1&4\\3&2\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]$ .

Multiplying the matrices with the scalars, the given equation becomes,

$\left[\begin{array}{cc}1.5x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\$

Adding the matrices,

$\left[\begin{array}{cc}1.5x+y&9+4y\\12+3y&6+2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\$

Matrix equality gives,

$1.5x+y=z\\ 9+4y=z\\ 12+3y=6z\\ 6+2y=2$

Solving the equations together,

$y=-2\\ 3y-1.5x=9\\ -1.5x=9+6\\ x=-10$

We can see that the equations are not consistent.

There is no solution.

3 0

3 years ago

After dinner 3/4 of a pie remains. if tasha eats 1/6 of the remaining pie

astraxan [27]

Answer: 1/8

Step-by-step explanation: 3/4 x 1/6 = 24/3 (simplify to 1/8)

4 0

4 years ago

50 Points! - Pls Help!<br><br> TY!

Contact [7]

Answer:

Whats the choices

Step-by-step explanation:

Btw its only 5 pts

3 0

3 years ago

If there are 225 pets in the complex, approximately how many cats are there?

zepelin [54]

Answer:

about 80 cats

Step-by-step explanation:

You multiply 225 pets by the 35% of cats giving you the equation of 225×.35 giving you 78.75. But you approximate the 78 which gives you 80. Thus giving the the 35% of cats of 80 cats.

5 0

3 years ago