Re-write the quadratic function below into standard form y=-4(x-1)(x-1)-3

Answers

Answer 1
Answer:

Answer:

y= -4x2+8x-7

Step-by-step explanation:


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If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b? A. 2
B. 3
C. 9
D. 10

20 points to the brainliest user!!!!

Answers

If x=3+bi, then

|x|=√(3^2+b^2).

You know that |x|^2=13, then

\left(√(3^2+b^2)\right)^2=13,\n \n 9+b^2=13,\n \nb^2=4,\n \nb=\pm 2.

Two possible complex numbers satisfy these conditions:

x_1=3+2i, \ x_2=3-2i.

As you can see the possible value of b is 2.

Answer: correct choice is A.

Can someone please help with 11-14? I will give thanks and brainliest

Answers

I won’t be doing all 4 of them (so that you can learn how to do it yourself successfully, without

me just giving you all the answers) but I did 11 which hopefully helps you understand?

Sorry if my handwriting’s a bit on the messy side :))

Six friends share 4 apples equally. How much apples does each friend get?

Answers

1 half.
hope i helped let me know if you got it right tomorrow


4 ÷ 6 = .66

Every friend shares .66 of an apple.

Solve the system of equations.
4x + 3y + z= -6
x-3y + 2z=0
11x-2y + 3z = - 26

Answers

Answer:

y= - 271/71

x=755/71

z =4866/71

Step-by-step explanation:

For resolve a system you multiply an equation of the system or add two of the equation and replace the result in the system

                                                     Add the 1st and 2nd, and replace the 2nd

4x + 3y + z= -6         4x + 3y + z= -6          4x + 3y + z= -6

(-4) (x-3y + 2z=0) → -4x +12y -8z =0      →       +15y -7z = -6

11x-2y + 3z = - 26    11x-2y + 3z = - 26       11x-2y + 3z = - 26

                                                      Add the 2nd and 1st, and replace the 1st

4x + 3y + z= -6          4x + 3y + z= -6                    4x  + z= -6

(-1/5)( 15y -7z = -6) →  -3y -7/5z =6/5      →       -3y -7/5z =6/5

11x-2y + 3z = - 26     11x-2y + 3z = - 26           11x-2y + 3z = - 26

                                                      Add the1st and 3rd, and replace the 3erd

(-3)( 4x  + z= -6)          -12x - 3z= 18                    -12x - 3z= 18

-3y -7/5z =6/5      →  -3y -7/5z =6/5      →       -3y -7/5z =6/5

11x-2y + 3z = - 26      11x-2y + 3z = - 26           -x-2y  = - 8

                                                       Add the1st and 3rd, and replace the 1st

(1/3)(-12x - 3z= 18 )     -4x - z= 6                 -4x - z= 6

(5)(-3y -7/5z =6/5) →  -15y - 7z = 6        → -15y - 7z = 6

-x-2y  = - 8               (-4)(-x-2y  = - 8)         4x + 8y= 32

                          Add the 1st and 2nd, and replace the 2nd

(-7)(8y - z =38)        -56y +7z= 266     -56y +7z= 266

-15y - 7z = 6     →     -15y - 7z = 6  →      -71y=271 → y= - 271/71

(1/4)(4x + 8y= 12)       x+2y=3                 x+2y=3

-56y +7z= 266 → -8y + z =38 → z =4866/71

x+2y=3 → x=755/71

15 points! please answer all questions 1. Choose the correct answer.

Elena bought 320 tropical fish for a museum display. She bought 7 times as many triggerfish as parrotfish. How many of each type of fish did she buy?

Which is a system of equations to model the problem if x represents the number of parrotfish Elena bought and y represents the number of triggerfish she bought?


A.
x + y = 320
y = 7x

B.
x + 7y = 320
y = 7x

C.
x – y = 320
y = 7x

D.
x + y = 7
y = 320x

2. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores?

Which is a system of equations to model the problem if x represents Kathryn’s score and y represents Michael’s score?

A.
x + y = 70
y = 2x – 425

B.
x – y = 425
y = 2x – 70

C.
x + y = 425
y = 2x – 70

D.
x + y = 425
y = 2x + 70

3. David has a hose that is 27 ft long. He wants to cut it into two pieces so that the longer piece is 3 ft more than 2 times the length of the shorter piece.

How long will each piece of hose be?

Shorter piece:______ft
Longer piece:______ ft

4. Admission for a movie is $8 for children and $12 for adults. On a certain day, 3200 people attend the movie theater and $33,040 is collected.

How many children and how many adults attended the movies?

children.__?____
adults.____?____

5.A collection of quarters and dimes is worth $12.40. There are 67 coins in all.

How many of each coin are there?

quarters.___?_____
dimes.___?____

Answers

1. A.
x parrot fish + y triggerfish = 320 total fish. 
y = 7x shows that there are 7 times as many triggerfish.
2. C
x + y shows a total score of 425.
y = 2x - 70 shows that Michael's score, y, is 70 less (minus) than twice Kathryn's 
3. write two equations
x + y = 27 total feet
2x + 3 = y
Substitute 2x + 3 for y in the first equation
x + (2x + 3) = 27
3x + 3 = 27
3x = 24
x = 8
Substitute 8 in to either equation to find the other length.
8 + y = 27
y = 19
The shorter piece is 8 and the longer piece is 19
4. x + y = 3200 people -> y = 3200-x
8x + 12y = 33,040 dollars
8x + 12(3200 - x) = 33040
8x + 38400 - 12x = 33040
-4x = -5360
x = 1340 (1340 children)
1340 + y = 3200
y = 1860 adults
5. I don't think the numbers for this were put in correctly because I get a decimal and a negative number when I solve for it but hopefully if you do get the correct cost/amount of coins you will understand this well enough to do it on your own. Hope I helped!


For homeWor, a student had to complete 15 problems total. If she finished 6 problems in class, what is the ratio of problems she still needs to complete to problems that she already finished?

Answers

Answer:

9:6

Step-by-step explanation: