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3 years ago

What is y= -x^2-2x+3 in vertex form

1 answer:

6 0

y = -x² - 2x + 3
  y - 3 = -x² - 2x + 3 - 3
  y - 3 = -x² - 2x
y - 3 - 1 = -x² - 2x - 1
  y - 4 = -(x²) - (2x) - (1)
  y - 4 = -(x² + 2x + 1)
  y - 4 = -(x² + x + x + 1)
  y - 4 = -(x(x) + x(1) + 1(x) + 1(1))
  y - 4 = -(x(x + 1) + 1(x + 1))
  y - 4 = -(x + 1)(x + 1)
  y - 4 = -(x + 1)²
y - 4 + 4 = -(x + 1)² + 4
y = -(x + 1)² + 4

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18. A I-10 number cube is rolled. What is the conditional probability that the number rolled is less than 6, given that the numb

Romashka-Z-Leto [24]

Answer:

30% Probability

Step-by-step explanation: 3/10=0.3

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3 years ago

Jenny bought 7 t-shirts, one for each of her 7 brothers, for $9.95 each. The cashier charged her an additional $13.07 in sales t

maw [93]

It's simple, first you have to read the text, let's start.

She arrives with x

Jenny bought 7 T-shirts

x-7*price, so x-7*9.95

The cashier charged her an additional.

$x-7*9.95-13.07$

Then left for her 7.28

therefore

$x-7*9.95-13.07=7.28$

$x-69.65-13.07=7.28$

$x-82.72=7.28$

$x=7.28+82.72$

$\boxed{\boxed{x=\$90.00}}$

She started with $90.00

7 0

4 years ago

F(x) = 3x + 1. Solve for x if f(x) = 19

OLga [1]

To solve, set your equation to your solution.

3x+1=19

Start by subtracting 1 from each side to start isolating the x.

3x+1=19
-1 -1
————-
3x=18

Next, divide both sides by 3 to completely isolate the x.

3x=18
—- ——
3 3

x=6

Therefore, x for f(x)= 19 is 6

You can check by inserting into the equation 3(6)+1=18+1=19.

Hope this helps!!

8 0

3 years ago

Read 2 more answers

The school that Maria goes to is selling tickets to a musical performance. On the first day of tickets sale the school sold 10 a

shtirl [24]

Answer:

Adult tickets cost $20, child tickets cost $15

Step-by-step explanation:

I'm going to assume that we have to say how much the tickets cost

x- cost of an adult ticket

y- cost of a child ticket

$\left \{ {{10x+3y=245} \atop {5x+y=115}} \right.$

$\left \{ {{10x+3y=245} \atop {y=115-5x}} \right.$

10x+3(115-5x)=245

10x+345-15x=245

-5x=-100

x=20

y=115-5*20=15

3 0

3 years ago

Joy and Cullen put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after

Harrizon [31]

The answer would be D. 7 weeks, $230.

Explanation: y would be the total amount after x weeks. So, to find the answer, simply go through your choices and insert x and y. Both y's for Joy and Cullen have to match up for the answer to be correct.

For answer D, it looks like:

Joy: 30(7) + 20 = 230
Cullen: 20(7) + 90 = 230

4 0

4 years ago

Read 2 more answers