Is it right The question
The function f(t) = t2 + 4t − 14 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for f(t). (2 points)

Answers

Answer 1
Answer: f(t) = t2 + 4t − 14

 

y + 14 + 4 = ( t2 + 4t +4)

y + 18 = ( t + 2)^2

 

so the vertex of the parabola is ( -2 , -18)

 

the axis of symmetry is y = -18


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What is 0.03 as a fraction
Ratios equivalent to 15:6?
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Find the equation of the line that passes through (-2,3) and (4,-1).the formula I believe is y-y1 = y2-y1/x2-x1 (x-x1) I'm not quite sure as to how to set that up. do I solve as I go?

Janet drove 300 miles in 4.5 hours. Write an equation to find the rate at which she was traveling.

Answers

If you would like to know the rate at which she was travelling, you can calculate this using the following steps:

300 miles ... 4.5 hours
x miles = ? ... 1 hour

300 * 1 = 4.5 * x
300 = 4.5 * x
x = 300 / 4.5
x = 200 / 3
x = 66.67 miles per hour

Janet was travelling at the rate 66.67 miles per hour. 

A corn field has an area of 48,000 square. Ft. The width of the field is 300 feet.

Answers

Step-by-step explanation:

A) width × length = area

300 ft × l = 48000 sq ft

B) l = 48000 ÷ 300

l = 160 ft

There are 32 students in a play. The ratio of girls to all students on the play is 5 : 8. How many girls are in the play

Answers

There are 20 girls in the play.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

There are 32 students in a play.

And, The ratio of girls to all students on the play is 5 : 8.

Now,

Since, The ratio of girls to all students on the play is 5 : 8.

Hence, Number of girls = 5x

And, Number of students = 8x

Here, Number of all students = 32

So, We get;

⇒ 8x = 32

⇒ x = 4

Thus, Number of girls = 5x

                                  = 5 × 4

                                  = 20

Hence, Number of girls = 20

Learn more about the ratio visit:

brainly.com/question/12024093

#SPJ2

I believe the answer is 20 but, I do not know how to explain it.

What are the values of a and b? A. a= 9/2 b=15/2
B. a= 15/2 b= 9/2
C. a= 16/3 b= 15/2
D. a= 9/2 b= 13/2

Answers

THE GREATEST VALUE OF LETTERS


The distance between two places is 120 km. A car travelling at a certain speed can cover the distance in 2 hours 30 minutes. By how many km/h should the speed of the car be increased for it to take 30 minutes less to cover the distance?Don't spam!!
Step by step explanation is needed..​

Answers

Answer:

Distance between two places=120 km

Step-by-step explanation:

 

Time= 2 hrs 30 min

       =(2*60)min+30min

       =120min+30min

       =150min=150/60 hr

        = 5/2 hr

Speed = distance /time

          = (120/5/2)km/hr

          =(120×2/5)km/hr

          =(240/5)km/hr

          = 48 km/hr

New time = 2 hr 30min-30min

               = 2hr

Distance =120km

Speed  = Distance /time

           =120/2 km/hr

           = 60 km/hr

Increase in speed=(60-48)km/hr  

                            =12km/hr

Another way to show :

Distance = 120km

speed=Distance/time

=120/2.5=48 km/hr

New speed=120/2=60 Km/hr

change inspeed=60-48=12km/hr

The minute hand of a clock moves from 3 o'clock to 6 o'clock, or 1/4 of a complete revolution. Through how many degrees does it move?

Answers

A full revolution is equal to 360 degrees. Thus, rotating a quarter of a full revolution would put it at 360/4 = 90 degrees.
Well, there's 360 degrees in a full circle. 
If the hand moves 1/4 of a complete revolution, divide 360 by 4.

360/4=90

The minute hand moved 90 degrees.