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Ludmilka [50]
3 years ago
6

Rewrite the equation by completing the square.

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0

Answer:

(x-11/4)^2 = 9/16

Step-by-step explanation:

2x^2 -11x+14 = 0

Subtract 14 from each side

2x^2 -11x+14-14 = -14

2x^2 -11x = -14

Divide each side by 2

2/2x^2 -11/2 x = -14/2

x^2 -11/2 x = -7

Take the coefficient of x

-11/2

Divide by 2

-11/2  /2 = -11/4

Square it

(-11/4) ^ = 121/16

Add this to each side

x^2 -11/2 x  + 121/16= -7+121/16

(x+ -11/4)^2 = -7*16/16 + 121/16

(x-11/4)^2 = -112/16 +121/16

(x-11/4)^2 = 9/16

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Leto [7]

Answer:

Number of Adult's tickets sold on Saturday = 3,356

Number of Children's tickets sold on Saturday = 2, 928

Total number of tickets sold over these two days is 8,938.

Step-by-step explanation:

Here, the number of tickets sold on FRIDAY:

Adult Ticket sold = 1,678

Children's Tickets sold = 976

So, the total number of tickets sold on Friday  

= Sum of ( Adult + Children's ) tickets  = 1,678  + 976 = 2,654 ....  (1)

The number of tickets sold on SATURDAY:

Adult Ticket sold =   2 times  the number of adult tickets sold on Friday

                            =  1,678 x 2  = 3,356

Children's Tickets sold = 3 times the number of children's tickets sold on Friday.

=  976  x 3 = 2, 928

So, the total number of tickets sold on Saturday  

= Sum of ( Adult + Children's ) tickets  = 3,356 + 2,928 = 6, 284 ....  (2)

Now, the total number of tickets booked in these two days :

Sum of tickets booked on (Friday + Saturday)

= 2,654 +  6, 284  =   8,938

Hence, total number of tickets sold over these two days is 8,938.

6 0
3 years ago
**PLS HELP! ILL GIVE BRAINLIEST**
lubasha [3.4K]

left = right

2.5 + x.5 = 11

10 + 5x = 11

5x = 1

x = 1/5

4 0
2 years ago
Read 2 more answers
if 4 people want tk use a canoe that can only hold up to 800 pounds and they have 60 pounds of gear, what must the average weigh
bekas [8.4K]

Answer:

185 pounds

800 - 60 = 740

740 ÷ 4 = 185

6 0
3 years ago
A. Find the vertex form equations (y = a(x - h)2 + k) for the parabolas below.
marta [7]

Answer:

y=-(x+3)^2

y=-x^2-6x-9

Step-by-step explanation:

i uh hope this is correct

hope thia helps <3

3 0
3 years ago
A bank security camera is mounted on a wall. The camera is set at an angle of depression of 19 degrees so that it is focused on
777dan777 [17]

Answer:

8.95feet

Step-by-step explanation:

The set up is a right angled triangle where;

The camera's horizontal distance from the focus point = 26feet = Adjacent;

The height of the camera above the floor = Opposite = x

Angle of elevation = 19°

According to TOA in trig identity;

Tan theta = opp/adj

Tan 19 = x/26

x = 26tan 19

x = 26(0.3443)

X = 8.95feet

Hence the camera is placed at a height of 8.95feet above the floor

7 0
2 years ago
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