Information is given about a polynomial f(x)
whose coefficients are real numbers. Find the
remaining zeros of f.
Degree 4; zeros: i, 1 + i.
0 -1 +i, 1- i
B -i, -1 + i
C 1-i
D -i, 1-i

Answer:

x=5  x= -7

Step-by-step explanation:

Answer:

145cm is the area I believe.

Answer:

1.5

Step-by-step explanation:

Answer:

The possible coins are:

P = penny = $0.01

N = nickel = $0.05

D = dime = $0.10

Q = quarter = $0.25

H = half dollar = $0.50

We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)

Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X

We know that Adam has half as much money as Ben, this can be written as:

(A + B + C) = 3*X/2

The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.

For example, if X = $0.10

then:

(A + B + C) = $0.10*(3/2) = $0.15

We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.

if x = $0.50 then:

(A + B + C) = (3/2)*$0.50 = $0.75

Here we could have:

A = $0.50

B = $0.25

then: A + B = $0.75

But we still have the coin C.

If we take X = $0.25 then:

(A + B + C) = (3/2)*$0.25 = $0.375

We could round the right part to $0.40

then the coins in the left part would be:

A = $0.25

B = $0.10

C = $0.05

A + B + C =  $0.25 + $0.10 +  $0.05 = $0.40

This is a strech, but is the only thing we can make with the given problem.

Answer:

24:9 or 24 to 9 or [tex]\frac{24}{9}[/tex]

Step-by-step explanation:

The amount of plums is 24. The amount of apples is 9. So to write the ratio of plums (24) to apples (9), you write 24 to 9. You can either write a colon - 24:9 - a to - 24 to 9 - or as a fraction - [tex]\frac{24}{9}[/tex]. But, you have to write it with plums first.

Hope it helps!

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

Answer:

-8/3

Step-by-step explanation:

Answer:

10.5 is the answer

Step-by-step explanation

[tex]\frac{40}{7}[/tex]=[tex]\frac{60}{?}[/tex]

40x1.5=60

7x1.5=10.5

Answer:

10.5

Step-by-step explanation:

Answer:

5. 1:6 2/5

6. 1:5

Step-by-step explanation:

5. each time in the table you multiply H by 6 2/5 ex.

column 4 , 100x6=600, 2/5 of 100 = 40 and the total is 640, so the contant of proprtionality is 6 2/5

6. in the table there is a point on 2:10 and can be simplified to 1:5 so for every minute 5 gallons of water will be used

hope this helps sorry if this inst what your looking for have a blessed day :)

Answer:

90

Step-by-step explanation:

on multiplication.

Answer:

6x^8 hope this helps

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

Answer:

45 students

Step-by-step explanation:

Three fifths of the students in the cafeteria bought their lunch from the school. The rest brought their lunch from home. 27 of the students bought their lunch. Let t represent the total number of students in the cafeteria.

We are to calculate the total number of students in the cafeteria.

Fraction of the students in the cafeteria that bought their lunch from the school = 3/5

Number of the students that bought their lunch = 27 students

The total number of students can be calculated as:

3/5 Of t = 27 students

3/5 × t = 27

Cross Multiply

3t/5 = 27

3t = 27 × 5

t = 27 × 5/3

t = 45 students

Therefore, the total number of students in the cafeteria = 45 students

Answer:

6 years old

Step-by-step explanation:

Since her twin brother is the same age as her, you are looking for two equal factors whose product is 36. The square root of 36 is 6, so the answer is they are both 6 years old.

Answer:

(0,2), increases slowly, increases rapidly

Step-by-step explanation:

I just took the test

Answer:

600 minutes

Step-by-step explanation:

We start with a bucket that is completely full- it has five gallons of water.

5 gallons of water = 5 (128) fl oz = 640 fl oz

Half of 640 fl oz is 320 fl oz, which is the amount we are looking for.

So, we divide [tex]\frac{320}{8}[/tex] to find how many times it will take for the bucket to become half-full, which is 40 times.

Now, we multiply 40 by 15 minutes, so we get 40 × 15 = 600 minutes

Time for the bucket to become half full is 600 minutes.

Here,

A five-gallon bucket was completely filled with water.

The bucket has a small leak that causes it to lose 8 fluid ounces of water every 15 minutes.

We have to find the time for the bucket to become half full.

What is Number system?

A number system is defined as a system of writing to express numbers.

Now,

A five-gallon bucket was completely filled with water.

The bucket has a small leak that causes it to lose 8 fluid ounces of water every 15 minutes.

Hence, We start with a bucket that is completely full- it has five gallons of water.

So, Amount of 5 gallons of water = 5 * 128 = 640 fl oz

Now, Half of 640 fl oz = 640/2 = 320 fl oz

So, we divide to find how many times it will take for the bucket to become half-full as;

⇒ 320 ÷ 8 = 40

Now, Time is calculated as to multiply 40 by 15 minutes,

⇒ 40 × 15 = 600 minutes

Hence, Time for the bucket to become half full is 600 minutes.

Learn more about the number system visit:

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Answer:

7:2

Step-by-step explanation:

Answer:

7:2

Step-by-step explanation:

Answer:

GFKSKKGKKSFG

Step-by-step explanation:

Answer:

x=-4, y=7

Step-by-step explanation:

According to the first equation, y = -4x - 9, so we can substitute y in the second equation for -4x - 9.

y = 3x + 19

-4x - 9 = 3x + 19

Add 9 to both sides

-4x = 3x + 28

Subtract 3x

-7x = 28

Divide by -7

x = -4

Plugging this into the equation, we have:

y = -4x - 9

y = -4(-4) - 9

y = 16 - 9

y = 7

Answer:

y=-[tex]\frac{1}{3}[/tex]x+3

Step-by-step explanation:

The shape congruent to given figure is Figure 4.

Option D is correct.

Congruent figures have sides that are the same length and angles that are the same measurement. In other terms, two figures are said to be congruent when they are superimposed upon one another. Even when they are flipped or rotated, they perfectly fit on top of one another.

We have a figure which is similar to parallelogram.

First, figure is seems to be rectangle and do not have same unit measurement which is not Congruent.

Now, the second has more width than given figure.

Now, Third figure is also a rectangle and cannot be congruent.

Now, the fourth figure is similar to given figure.

Learn more about Congruency here:

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Answer:

£32.76

Step-by-step explanation:

21/500=0.042

780x0.042 = 32.76

Answer:

6

Step-by-step explanation:

3x+4=22

22-4÷3=6

Answer:

no, because the survey will not include members of the faculty

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation: