What is the vertex if the function f(x)=-x^2-2x-1

Mathematics

1 answer:

Mila [183]3 years ago

7 0

Vertex=(-1,0)

x^2-2x-1

y=− ( x + 1 )^2 + 0

Use the vertex form, y=a(x−h)^2+k, to determine the values of a, h, and k.

Find the vertex (h,k) = (-1,0)

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Explain your answer!! <br><br> Will give brainlst

Novosadov [1.4K]

• So we know that.....

x represent bags of snack and y is bottles of water.

This equations shows the total amount and the cost of each water bottle and snack:

20.00 = 2.50x + 1.00y

Total: $20.00
Snack: $2.50
Water Bottle: $1.00

And this question shows the total items:

11 = x + y

Which there will be some snack + some water bottle = 11 items

—————————————————————

• Now I’m going to first solve for x, which is the amount of bags of snack.

I will use the equation, 11 = x + y.

(First, we’ll subtract y from both side, since we’re solving for x [UNDO])

11 = x + y
-y = - y
_______
11 - y = x —> so x is equal to 11 minus y.

—————————————————————

• Now we’re going to plug the 11 - y as x in the equation: 20.00 = 2.50x + 1.00y to solve for y.

20.00 = 2.50 (11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y (Distributed)

20.00 = 27.5 - 1.50y (Combine like terms)

20.00 = 27.5 - 1.50y
-27.5 = -27.5 (Subtract -27.5 both side)
——————————
-7.5 = - 1.50y

-7.5 = -1.50y
—— ——— (Divide both side by -1.50)
- 1.50 = -1.50

5 = y

y is equals to 5, which means that there are 5 water bottles.

Now we know there are 11 items total and because there are 5 water bottles, there will be 6 bags of snacks. 11-5=6

—————————————————————

ANSWER:

They bought 6 bags of snacks! :)

4 0

3 years ago

Which of the following is the correct graph of the solution to the inequality −18 > −5x + 2 ≥ −48?

monitta

Answer:

Option D. A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

Step-by-step explanation:

we have

$-18 > -5x+2 \geq -48$