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emmainna [20.7K]
3 years ago
9

Identify the vertex for the graph of y= -2x^2-12x+1

Mathematics
1 answer:
Kazeer [188]3 years ago
5 0

Answer:

Step-by-step explanation:

y=-2(x^2+6x+9-9)+1

=-2(x+3)²+18+1

=-2(x+3)²+19

vertex is (-3,19)

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Pat's Pizza Place sells large pies for $12 with a charge of $2 for each topping. If Reagan only has a $20 bill to spend on a piz
Cerrena [4.2K]

Answer:

The 1st graph

Step-by-step explanation:

20 = 2t + 12

2t = 8

t = 4

At most she can afford 4 toppings which means she can have 4 toppings to less: t ≤ 4. This is represented in the 1st graph.

3 0
2 years ago
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Mark can remember only the first 4 digits of his friend's phone number. He also knows that the number has 7 digits and that the
denis-greek [22]

Answer:

<em>19800 seconds, or 330 minutes, or 5 hours + 30 minutes</em>

Step-by-step explanation:

<u>Number Permutations</u>

We know the phone number has 7 digits, 4 of which are known by Mark. This leaves him 3 digits to guess with. We also know the last one is not zero. The number can be represented as

XXY

Where X can be any digit from 0 to 9 and Y can be any digit from 1 to 9. The first two can be combined in 10x10 ways, and the last one can be of 9 ways, this gives us 10x10x9 = 900 possible permutations.

If each possible number takes him 22 seconds, every possibility will need

22x900=19800 seconds, or 330 minutes, or 5 hours + 30 minutes

3 0
2 years ago
On Monday 4 bricklayers took 3 hours to lay a total of 4200 bricks.
lisabon 2012 [21]
<h2>Hello!</h2>

The answer is:

It will take 4.5 hours for two bricklayers to lay a total of 3150 bricks.

<h2>Why?</h2>

From the statement, we know that on Monday, bricklayers took 3 hours to lay a total of 4200 bricks.

So, we have that the rate of the four bricklayers is given by the following equation:

Production=Rate*Time\\\\Rate=\frac{Production}{time}

Rate=\frac{4200bricks}{3hours}=\frac{1400bricks}{hour}

Therefore, we have that the rate of the four bricklayers is 1400 bricks per hour, meaning that each bricklayer can lay 350 bricks per hour.

Now, to calculate how many hours it will take to the 2 bricklayers to lay a total of 3150, we need to divide the calculated rate (for bricklayers) by two, since there are only 2 bricklayers working on Tuesday.

So, calculating the time, we have:

Production=\frac{Rate}{2}*Time

3150bricks=\frac{\frac{1400bricks}{hour}}{2}*Time

3150bricks*2*\frac{1hour}{1400bricks}=Time

6300bricks*\frac{1hour}{1400bricks}=Time

Time=4.5hours

Hence, we have that it will take 4.5 hours for two bricklayers to lay a total of 3150 bricks.

Have a nice day!

7 0
2 years ago
Bob Farrell works for a company that manufactures small appliances. Bob is paid $2.00 for each toaster, $4.60 for each microwave
Amiraneli [1.4K]

Answer:

$461.85

Step-by-step explanation:

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This comes out to 180, 165.6, and 116.25

Add them all together, and you get 461.85

That's the total amount that he makes weekly

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2 years ago
Please help graph below | What is the slope of this line?
ehidna [41]

The slope is 0 because there is no slope it is not pointing up nor is it down. It is just a straight line. I hope this helps!! Have a nice day!!

4 0
2 years ago
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