1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeka57 [31]
3 years ago
15

98 points! plz hurry!

Mathematics
1 answer:
LenaWriter [7]3 years ago
7 0

Answer:

B. (-0.73, 0), (2.73, 0)

Step-by-step explanation:

vertex form of a parabola

y = a(x-h)^2 +k

y = a(x-1)^2 -9

substitute the point in to find a

-6 = a (0-1) ^2 -9

-6 = a *1 -9

add 9 to each side

-6+9 = a -9+9

3 =a

y = 3(x-1)^2 -9

FOIL

y = 3(x-1)(x-1) -9

y = 3(x^2-2x+1) -9

distribute

y = 3x^2-6x+3-9

combine like terms

y = 3x^2 -6x -6

factor out 3

y= 3(x^2 - 2x -2)

set = 0

0 =  3(x^2 - 2x -2)

x^2 - 2x -2 =0

using the quadratic formula

-b±sqrt(b^2 -4ac)

----------------------

2a

-(-2) ± sqrt(2^2 - 4(1)(-2))

-------------------------------

2(1)

2 ± sqrt(4+8)

------------------

2

2±sqrt(12)

---------------

2

2±2sqrt(3)

----------------

2

1±sqrt(3)

roots:  2.73,  and  -.73

You might be interested in
Find the coordinates of the vertices of each figure after the given transformation.
zhannawk [14.2K]

Answer:

uhm sorry this is really hard maybe answer 2

Step-by-step explanation:

7 0
3 years ago
A total of 31,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is
kupik [55]

Answer:

Bonds: $42,000

Certificates of deposit: $41,000

Step-by-step explanation:

Total invested = Amount in bonds + Amount in CDs

 

Amount in bonds = Amount in CDs + 1000

 

Let the amount in bonds = B and the amount in CDs = C

 

 

1. 83,000 = B + C

 

2. B = C+1000

 

Since the above expression (#2) defines B, you can substitute it for the B in the first equation (#1).

 

83,000 = C + 1000 + C

 

Now, you can solve for C.

 

83,000 = 2C + 1000

82,000 = 2C

41,000 = C

 

You know that the amount invested in bonds is $1000 greater than the amount invested in CDs, so add $1000 to C and you find B, $42,000.

4 0
3 years ago
Blanking on this one
pentagon [3]

Answer:

skp

Step-by-step explanation:

4 0
3 years ago
A tank with capacity T gallons is empty. If water flows into the tank from pipe X at the rate of X gallons per minute, and water
Andrej [43]

A tank with capacity T gallons is empty. Tank will be filled in \frac{t}{(x - y)} minutes

<u>Solution:</u>

Given, A tank with capacity T gallons is empty.  

We have to find how many minutes will tank be filled?

Now, Water flows into the tank from pipe X at the rate of X gallons per minute,  

And water is pumped out by pipe Y at the rate Y gallons per minute,  

Then, together in one minute the amount of water filled will be x – y gallons  [as X is greater than Y]

Now, the time take to fill tank = =\frac{\text { capacity of tank }}{\text { amount of water filled per minute }}=\frac{t}{x-y}

Hence tank will be filled in \frac{t}{(x - y)} minutes

6 0
3 years ago
Kendra can make 120 soccer kicks in 3 minutes. Jovani can make 100 soccer kicks in 4 minutes. How long will it take them to make
meriva

Answer:

Step-by-step explanation:

10 mins

4 0
3 years ago
Other questions:
  • Leslie is currently 8 years older than her neighbor Bill. In 4 years she will be two times as old as Bill. Let x equal Bills cur
    12·1 answer
  • How many solutions does this system have?
    7·2 answers
  • HELP. PLEASE
    11·1 answer
  • Which fraction divided by 3/6 is equal to -9/10
    9·1 answer
  • Common factor for 32 and 30
    7·1 answer
  • Which of the following in not an essential part of a two-column proof?
    13·2 answers
  • If -5 is a root of the quadratic equation 2x^2+px+15=0 and the equation p(x^2+x) +k=0 has equal rootsv then find p and k
    11·1 answer
  • Suppose that you turn on the hot water, which flows at 8.7 liters per minute into the bathtub. Two minutes later you also turn o
    7·1 answer
  • Write an exponential function to model the situation. Then find the value of the function after 5 years to the nearest whole num
    14·1 answer
  • Please help with this question
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!