05) A polynomial function f of degree(6) whose coefficients are real numbers has the zeros i, 4-i,2+i . Find the remaining zeros of (f) ​

Answer:

A and C

Step-by-step explanation:

When you are dividing exponents you subtract. So for this problem -8 - -4 = -8 + 4 = -4. This means that the new exponent would be -4.

When you have a negative exponent, the equation is a fraction. As an example x^-5 would be equal to 1/x^5. For this equation, since you know that the new exponent is -4, an equivalent equation would be 1/3^4.

Hope this helps

Answer:

58

Step-by-step explanation:

First, round the number to the ones place.

We get 175.

Then, divide it by 3.

     5  8

  _____

3| 1  7  5

  -1  5

   ___

       2  5

     - 2  4

      ____

            1

quotient = 58

remainder = 1

So, the estimated quotient is 58.

Hope it helps!

Also, please mark my answer as brainliest.

a. What can you use to find the height of the pole?

solution: We can use Pythagoras theorem to find the height of the pole.

b. Write and solve a quadratic equation to find the height of the pole.

solution:

a² + b² = c²

[tex]\sf (x)^2 + (x-3)^2 = 15^2[/tex]

[tex]\sf x^2 + x^2 - 6x + 9 = 15^2[/tex]

[tex]\sf 2x^2 -6x + 9 = 225[/tex]

[tex]\sf 2x^2 -6x -216=0[/tex]

[tex]\sf 2x^2 -24x +18x -216 = 0[/tex]

[tex]\sf 2x(x-12)+18(x-12) = 0[/tex]

[tex]\sf (2x + 18)(x-12) = 0[/tex]

[tex]\sf x = 12, -9[/tex]

[tex]\sf x = 12[/tex]

height of the pole: 12 ft

c. How far is the hook from the base of the pole?

solution: (x-3) → (12-3) → 9

Step-by-step explanation:

Our expression;

[tex]\frac{4^5\times4^7}{4^-2}[/tex]

Notes;

When exponents multiply, they add.

When exponents divide, they subtract.

Multiply;

[tex]\frac{4^5\times4^7}{4^{-2}}=\frac{4^{-2}}{4^{-2}}[/tex]

Divide;

[tex]\boxed{\frac{4^{-2}}{4^{-2}}=4^0=1}[/tex]

Facts to review:

[tex]\bullet \ \tex\text{Tip 1: If there is a "multiplication" sign, then the exponents will add.} \\\\ \bullet \ \tex\text{Tip 2: If there is a "division" sign, then the exponents will subtract.}\\\\ \bullet \ \ \tex\text{Tip 3: If a number, exponent, fraction, etc. is divided by itself, the result is 1.}[/tex]

Step- by step calculations:

[tex]\bullet\rightarrow (4^{5} \times 4^{-7} ) \div 4^{-2} \\\\ \bullet\rightarrow (4^{5 +(- 7)} ) \div 4^{-2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 1}]\\\\ \bullet\rightarrow (4^{-2} ) \div 4^{-2}\\\\ \bullet\rightarrow \boxed{\bold{1}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 3}][/tex]

The solution for the given expression is 1.

Answer:

-7x+8

Step-by-step explanation:

Answer:

-7x+8

Step-by-step explanation:

Hope this helps!

Answer:

184

Step-by-step explanation:

Find the common difference first   d = 6 - 4 = 2

first term  a_1  = 4

a_n = (n -1)*d + a_1

a_91 = (91 - 1) * 2 + 4

a_91  is the 91st term:

a_91 = 90*2 + 4

a_91 = 180 + 4 = 184

Answer:

13 is the debt per 8 members

divide 42 by 6 and get 7 so mulyiply 7 by 9

Answer: D. (-4, 4)

Step-by-step explanation:

just the x, y

Answer:The answer is A (4, 4)

Step-by-step explanation: When reflected across the y-axis, the y coordinates stay the same, but the x coordinated change signs. In this case, the original x coordinate was -4. But after flipped across the y axis, the -4 changes to a positive 4, since it is in quadrant 1.

Answer:

100$

Step-by-step explanation:

Each lawn=20$

number of lawn mowed=5

20×5=100$

1st : , Her parents didnt think much of it until she started to skip dinner with her family and even refused to go to school.'

2nd : , And with every post they make on their favorite social media site, they may be opening themselfs to all kinds of medical problems. '

brainliest<3?

Answer:

1. D

2. B

3. A

4. C

Step-by-step explanation:

1. The third side can't be calculated with given information

2. This is right triangle so you can use Pythagorean theorem to find hypotenuse.

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

10 = c = PR

Since PM = RM, you would take half of c to find PM. So PM = 5

3. When writing congruency statement, you have to be careful with orders.

Angle A is congruent to angle E.

Angle B is congruent to angle D

So if A comes first, then E should be written first for the other side (does that make sense?)

4. For SAS, you need 2 congruent sides and 1 congruent angle. But that angle has to be in between two congruent sides.

Answer:

8

Step-by-step explanation:

If 8 is added to 3(√9) it is more than 10. If 10 and 3(√9) is added it is more than 8. If 8 is added to 10 it more than 3(√9).

Percentage is a way to describe a part of a whole. The production of the footwear that will be in 2016 will be 1.65 billion.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

It is given that the production of footwear in 2006 was 1.8 billion which will be reduced by 8.4%, therefore, the number of footwear that will be produced in 2016 is 91.6%(100%-8.4%) of the production in 2006. Therefore, the production of footwear in 2016 will be

[tex]91.6\%\ of\ 2006\\\\= 0.916 \times 1.8\ billion \\\\= 1.6488\approx 1.65\ billion[/tex]

Hence, the production of the footwear that will be in 2016 will be 1.65 billion.

Learn more about Percentage:

https://brainly.com/question/6972121

Answer: D

Step-by-step explanation:

A counterexample is an isosceles trapezoid.

Answer:

Step-by-step explanation:

Step-by-step explanation:

The values are gotten by counting the shapes and noting their numbers, thereafter u perform your normal ratio operation on them.

Answer:

RN = registered nurse

LPN = licensed practice nurse

RN earns $21.50 per hr

LPN earns $14 per hr

To calculate earnings for a 40 hour working week, multiply the rate per hour by 40:

RN earns:  21.50 × 40 = $860 per week

LPN earns:  14 × 40 = $560 per week

Difference:  860 - 560 = $300

Therefore, an RN is paid $300 more than an LPN for a 40 hour working week.

Number of weeks in a (non leap) year = number of days in a year ÷ 7

                                                               = 365 ÷ 7

                                                               = 52.14285714...

Rounding to the nearest whole number ⇒ 52 weeks in a year

To calculate the yearly salary, multiply the rate per week by 52:

RN earns:  860 × 52 = $44720 per year

LPN earns:  560 × 52 = $29120 per year

Difference:  44720 - 29120 = $15600

OR we can simply multiply the difference between the amount paid for a 40 hour week by 52:

⇒ 300 × 52 = $15600

Therefore, an RN is paid $15600 per year than an LPN.

Answer:

The answer is 3450

Step-by-step explanation:

I=Prt

P=??

I=115

r=5%

t=8 months which is two thirds of a year

115=P×5%×2/3

115=1/30P

P=3450

Answer:

1

Step-by-step explanation:

y2-y1 divided by x2-x1

12-3 divided by 20-11

which equals to 9/9 which equals to 1

Answer:

0.0625.

Step-by-step explanation:

750/12000 as a fraction is 1/16, which is 0.0625.

Answer:

16

Step-by-step explanation:

You could divide 12000 by 16 and 750.

Answer:

415.39 [tex]ft^{2}[/tex]

Step-by-step explanation:

Answer:

5:2 please give me brainliest

Step-by-step explanation:

Answer:

1. width = 4 inches length = 13 inches

2. 225 m²

Step-by-step explanation:

1. So we know there are two sides and one side is 9 more than the other.

We let one side be x as we don't know what the number is. The other side is x+9 as its 9 more than the first side but we don't what that is either.

We know the area of a rectangle is A = bh.

The two sides are x and x+9

so, x(x+9) = 52

x² + 9x = 52

x² + 9x - 52 = 0

x² + 13x - 4x - 52 = 0

x(x+13) -4(x+13) = 0

(x-4)(x+13) = 0

x = 4 x = 13

The answer is x = 4 because you can't have x = -13 as negative lengths don't exist.

So if one side is x and the other side is x+ 9. Then plugging in 4 to both gets us, 4 and 13 as the dimensions.

The length is 9 more than width so,

length = 13 inches and width = 4 inches.

2. We know the area of a rectangle is A = bh.

One side is x + 10 and the other is x+15

Area is 750.

(x+10)(x+15) = 750

x²+15x+10x+150 = 750

x²+15x+10x-600 = 0

x²+25x-600 = 0

(x+40)(x-15) = 0

x = 15 as we can't have x = -40 because negative distance does not exist.

The bistro has sides x and x.

So the area is x * x.

15 * 15 = 225 m².

Answer:

109.35 ounces

Step-by-step explanation:

The scale factor is a linear scale factor.

The box is a three-dimensional solid, so the length, width, and height will be dilated by a factor of 9/2.

The volume factor is (9/2)³ = (4.5)³ = 91.125

The number of ounces is proportional to the volume.

1.2 ounces × 91.125 = 109.35 ounces

Answer:

1. 45 in²

2. 108 cm²

3. 104 m²

4. 75 in²

5. 1140 ft²

6. 166.5 mm²

Step-by-step explanation:

b=base, h=height

1. Area of triangle = [tex]\frac{1}{2}[/tex] x bh

[tex]\frac{1}{2}[/tex] x 10(9) = 45

2. [tex]\frac{1}{2}[/tex] x 12(18) = 108

3. [tex]\frac{1}{2}[/tex] x 16(13) = 104

4. Area of a trapezoid: [tex]\frac{1}{2}[/tex] x h( length of base 1 +length of base 2)

[tex]\frac{1}{2}[/tex] x 6(10+15) = 75

5. Area of kite = [tex]\frac{1}{2}[/tex] x length of diagonal 1 x length of diagonal 2

diagonal 1 = 5*9 = 45

diagonal 2 = 8*8 = 64

[tex]\frac{1}{2}[/tex] x 45(64) = 1140

6. [tex]\frac{1}{2}[/tex] x 9 (13+24) = 166.5

Answer:

3) B    4) D

Step-by-step explanation:

3) Graph the equations and locate the intersection.

4) the best method to solve number 4 is the substitution method

6x+7y=20

y=2x

we second equation is basically telling us that y=2x so we just plug it into the first equation

6x+7(2x)=20

distribute

6x+14x=20

combine like terms

20x=20

divide each side by 20

x=1

now plug in our answer into one of the equations (does not matter which one)

y=2 times 1

y=2

meaning that our answer is (1,2), x=1  y=2

Answer:

450

Step-by-step explanation:

No. of bread per hour multiplied by No of hours

Answer:

432

Step-by-step explanation:

multiply 18 and 24 and you get your answer:)

Start with definition of absolute value, |x|.

It says, |x| = x, for any x >= 0 and

|x| = -x, for any x < 0

 Now, instead of x, we have the expression x+120 inside the absolute value brackets:

|x+120|

Play the same game as above - what is the absolute value here?

|x+120| = x+120 for (x+120)>=0 and

|x+120| = -(x+120) for (x+120)<0

Now, recognize that the last condition (x+120)<0 is the same as writing x<-120. That is the condition in the question. Therefore the absolute value |x+120| will equal the second expression (for that condition), namely -(x+120), or -x-120.