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Strike441 [17]
2 years ago
12

14. What is the vertex of y=-3x2 + 6x +15?

Mathematics
1 answer:
Flura [38]2 years ago
5 0

Answer:

y=6x+21

Step-by-step explanation:

simply 3x2+6x+15

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Which of the following sets of lengths can Sean use to make a right triangle?
Aleks [24]

Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagoras Theorem

so

c^2=a^2+b^2

where

c is the greater side (the hypotenuse)

a and b are the legs (perpendicular sides)

<u><em>Verify each case</em></u>

case 1) we have

{5 cm, 15 cm, 18 cm}

substitute in the formula

18^2=5^2+15^2

324=250 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 2) we have

{6 cm, 12 cm, 16 cm}

substitute in the formula

16^2=8^2+12^2

256=208 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 3) we have

{5 cm, 13 cm, 15 cm}

substitute in the formula

15^2=5^2+13^2

225=194 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 4) we have

{8 cm, 15 cm, 17 cm}

substitute in the formula

17^2=8^2+15^2

289=289 ----> is true

therefore

Sean can make a right triangle with this set of lengths

6 0
2 years ago
Calculate simple interest earned on a deposit of $500 at a rate of 5% for 5 years. $125 $500 $625 $12,500
Sergio [31]

Answer:

$125

Step-by-step explanation:

Given:

deposit, P=  $500

rate,i =  5%

time,t= 5 years

I=P*i*t

where P is principal amount

i is interest rate

t is time

I is simple interest

Putting values we get:

I=500*0.05*5

 = 125 !

8 0
3 years ago
Read 2 more answers
Jennifer paid $3.75 for 3 doughnuts. What is the unit price for the doughnuts?​
Scrat [10]

Answer:

Cost of one doughnut = $1.25

Step-by-step explanation:

Doughnut           Cost

  3                       3.75

   1                         x

\frac{3}{1} = \frac{3.75}{x}\\\\3 \times x = 3.75 \times 1\\\\x = \frac{3.75}{3} = \$ 1.25

5 0
2 years ago
Read 2 more answers
He gets $200 for showing up and gets paid $15 an hour write a linear equation to represent his earnings
Dmitry [639]

Let H = number of hours worked.

He gets $15 for every hour worked, so you need to multiply 15 by h which is written as 15h

You then need to add that to the $200 he gets for showing up.

Total pay = 15h + 200

7 0
3 years ago
Read 2 more answers
you can work 8 hours today. based on the information below about your current work, rank order the activities you will complete
Montano1993 [528]

The rank order of the activities to be completed are:

  1. Work on ongoing project
  2. Investigate customer issue
  3. Complete Online Training
  4. Attend team meeting
<h3>How to order the events?</h3>

From the complete question (see attachment) the events must be ordered based on their priorities, followed by the time and then impact.

Using the above highlight, the events with the top priorities are:

Events 1 and 2

The events with the most number of hours are:

Events 1 and 2

Event 4 has more priority than event 3.

So, we have the following order

1, 2, 4 and 3

Read more about ranks and orders at:

brainly.com/question/20771129

#SPJ1

4 0
2 years ago
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