MATHEMATICS MIDDLE SCHOOL

Zoe's bag of fruit snacks contains 12 pieces. The table shows the flavors of the fruit snacks in the bag.Flavor
Number of Pieces
Strawberry
Pineapple
Orange
Grape
What is the theoretical probability that Zoe will choose an orange flavored piece from the bag?

Answers

Answer 1
Answer:

Answer:

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Step-by-step explanation:

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Need help on question 9

Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.2 - 3i is a zero of f(x) = x4 - 4x3 + 14x2 - 4x + 13.
*Can someone show the work I have the answers

Answers

The zeros of a function are the points where the function cross the x-axis.

One other zero of \mathbf{f(x) = x^4 - 4x^3 + 14x^2 - 4x + 13} is 2 + 3i.

The zero of \mathbf{f(x) = x^4 - 4x^3 + 14x^2 - 4x + 13} is given as:

\mathbf{Zero = 2 - 3i}

The above number is a complex number.

If a complex number a + bi is the zero of a function f(x), then the conjugate a - bi is also the zero of f(x).

This means that, one other zero of \mathbf{f(x) = x^4 - 4x^3 + 14x^2 - 4x + 13} is 2 + 3i.

Read more about zeros of functions at:

brainly.com/question/22101211

Answer:

One other zero is 2+3i

Step-by-step explanation:

If 2-3i is a zero and all the coefficients of the polynomial function is real, then the conjugate of 2-3i is also a zero.

The conjugate of (a+b) is (a-b).

The conjugate of (a-b) is (a+b).

The conjugate of (2-3i) is (2+3i) so 2+3i is also a zero.

Ok so we have two zeros 2-3i and 2+3i.

This means that (x-(2-3i)) and (x-(2+3i)) are factors of the given polynomial.

I'm going to find the product of these factors (x-(2-3i)) and (x-(2+3i)).

(x-(2-3i))(x-(2+3i))

Foil!

First: x(x)=x^2

Outer: x*-(2+3i)=-x(2+3i)

Inner:  -(2-3i)(x)=-x(2-3i)

Last:  (2-3i)(2+3i)=4-9i^2 (You can just do first and last when multiplying conjugates)

---------------------------------Add together:

x^2 + -x(2+3i) + -x(2-3i) + (4-9i^2)

Simplifying:

x^2-2x-3ix-2x+3ix+4+9  (since i^2=-1)

x^2-4x+13                     (since -3ix+3ix=0)

So x^2-4x+13 is a factor of the given polynomial.

I'm going to do long division to find another factor.

Hopefully we get a remainder of 0 because we are saying it is a factor of the given polynomial.

                x^2+1

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

x^2-4x+13|  x^4-4x^3+14x^2-4x+13                    

              -( x^4-4x^3+ 13x^2)

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

                                 x^2-4x+13

                               -(x^2-4x+13)

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

                                    0

So the other factor is x^2+1.

To find the zeros of x^2+1, you set x^2+1 to 0 and solve for x.

x^2+1=0

x^2=-1

x=\pm √(-1)

x=\pm i

So the zeros are i, -i , 2-3i , 2+3i

Which value for x makes the open sentence true?4 • 3 - 2x < X to the 2nd power - 2

A. 0
B. 1
C. 2
D. 3

Same question.

6 • 7 – 5x + x2 ≥ x3 + x2

A. 5
B. 6
C. 4
D. 3



Which symbol creates a true sentence when x equals 3?

8 • 3 – 4x _____ 7(10 – x)

A. >
B. <
C. =
D. ≈



Which symbol creates a true sentence when x equals 8?

9 • 4 – 2x _____ 5(11– x)

A. =
B. >
C. <
D. ≈

Please help me A.S.Y.C.

Answers

we know that

The easiest way to find the number that makes the statement true is to substitute the given answers into the equation.

so

Part 1)

4.3-2x < x^(2) -2

a) For x=0

4.3-2*0 < 0^(2) -2

12 < -2 -----> is false

b) For x=1

4.3-2*1 < 1^(2) -2

10 < -1 -----> is false

c) For x=2

4.3-2*2 < 2^(2) -2

8 < 2 -----> is false

d) For x=3

4.3-2*3 < 3^(2) -2

6 < 7 -----> is true

therefore

the answer part 1) is the option D

x=3

Part 2)

6*7-5x+x^(2) \geq x^(3) +x^(2)

a) For x=5

6*7-5*5+5^(2) \geq 5^(3) +5^(2)

42 \geq 150 ----> is false

b) For x=6

6*7-5*6+6^(2) \geq 6^(3) +6^(2)

48 \geq 252 ----> is false

c) For x=4

6*7-5*4+4^(2) \geq 4^(3) +4^(2)

38 \geq 80 ----> is false

d) For x=3

6*7-5*3+3^(2) \geq 3^(3) +3^(2)

36 \geq 36 ----> is True

therefore

the answer Part 2) is the option D

x=3

Part 3)

we have

8*3-4x\ (\ )\ 7*(10-x)

For x=3

8*3-4*3\ (\ )\ 7*(10-3)

12\ (\ )\ 49

we know that

12 < 49

therefore

the answer Part 3)  is the option B

<

Part 4)

we have

9*4-2x\ (\ )\ 5*(11-x)

For x=8

9*4-2*8\ (\ )\ 5*(11-8)

20\ (\ )\ 15

we know that

20 > 15

therefore

the answer Part 4)  is the option B

>
9. 4- 2(8) = -12
    55-40 = 15 
so C is true
 8. B
  
3 and 6 i dont know . seems : 4 . C & D are both correct 
                                                 6 . All correct

terrell has a water purifier for backpacking. it will purify 1 liter of water in 1 min. how long would it take terrell to purify enough water for 4 canteens that each hold 750 mL, and two that each hold 1.5 L

Answers

4 × 750 = 3 L so it will take 3 minutes for 4 canteens and
2 × 1.5 = 3 L it will also take 3 minutes
total it will take 6 minutes.

Answer:

It would take 6 minutes to purify enough water.

Step-by-step explanation:

Water purifier will purify 1 liter of water in 1 minute.

Terrell needs enough water for 4 canteens that each hold 750 ml.

Water for 4 canteens = 750 ml × 4 = 3000 ml = 3 liters

water for 2 canteens = 1.5 L × 2 = 3 liters

Water for total canteens = 3 + 3 = 6 liters.

Now it is given that water purifier will purify 1 liter of water in 1 minutes so 6 liters of water will purify in 6 minutes.

The area is 864 square feet, the width is 2/3 it's length . What is the length?

Answers











your answer is :



your welcome.

Identify and equation in point slope form for the line perpendicular to y= -3x+7 that passes through 2,-4

Answers

perpendicular slope: 1/3

y + 4 = 1/3(x - 2)

y + 4 = 1/3x - 2/3

y + 12/3 = 1/3x - 2/3

y = 1/3x - 14/3

Consider this composite figure.
What is the volume of the cone ?

Answers

Answer:

v=112/3picm^3

Step-by-step explanation:
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