Quadratic Equations and Complex Numbers

please give a clear answer, thank you <3

Answer:

10

Step-by-step explanation:

Given polynomial:

[tex]3x^2y^3+8x^3y^7[/tex]

The degree of a polynomial is the largest exponent in the function.

When a polynomial has more than one variable, add the exponents of each variable in each term.

3x²y³ has a degree of 5, since both exponents add up to 5.

8x³y⁷ has a degree of 10, since both exponents add up to 10.

So the polynomial has a degree of 10.

Answer:

5 1/2 + 3/4

11/2 + 3/4

22+3/4

25/4

=6 1/4

a) An equation representing the situation where x represents the number of months when Plan A and Plan B cost the same is 80x = 630 + 45x.

b) Using inverse operations, we can state that 80x - 45x = 630 or 35x = 630, and x = 18.

c) From this equation, we determine that x is 18 months.

An equation is a mathematical statement that shows that two or more mathematical expressions are equal or equivalent.

Equations use the equation symbol (=) to depict the equality of the expressions.

                             Plan A      Plan B

Monthly charge      $80          $45

Free phone              $0         $630

Let Plan A = 0 + 80x

Let Plan B = 630 + 45x

The month the two plans' costs are equal can be derived by equating the two expressions above:

80x = 630 + 45x

80x - 45x = 630

35x = 630

x = 18 months

Thus, solving the equation, we can conclude that choosing Plan B will take 18 months to equal the cost of Plan A and thereafter, be considered cheaper than Plan A.

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Domain : {-4, 3} and Range : {-1, 4}

What is Domain and Range ?

A relation's domain and range are established, and they consist of all ordered pairs' x and y coordinate sets, respectively.

Here, observe the line through x-axis

you'll see the it range from -4 to 3 on x-axis.

Therefore, Domain is {-4, 3}

Now, observe the line through y-axis

you'll see the it range from -1 to 4 on y-axis.

Therefore, Range is {-4, 3}

Hence, Domain : {-4, 3} and Range : {-1, 4}

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a) The average rate of change is 16.

b) The Calculation is linear because the average rate of change is same.

c) p= 16t + 168

d) The population in 2014 is 8168.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

a) The average rate of change

From 2000 to 2003 = (216- 168)/ 3

                                  = 16

From 2003 to 2006 = (264- 216) / 3

                                  = 16

From 2006 to 2009 = (312- 264)/ 3  

                                  = 16

b) The Calculation is linear because the average rate of change is same.

c) From the year 2000, the intercept is 168.

So, p= 16t + 168

e) The population in 2014

p = 16(500)+ 168

  = 8168.

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Answer:11.20*168=$1 881.6

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

On a number line, -42 is to the left of -19.

When you compare two numbers on a number line, the number to the left is smaller.

-42 is less than -19

-42 < -19

Group 1: 1, 2, 3, 4, 5

Group 2: 6, 7, 8, 9

In this case, the sum of the numbers in Group 1 is 1 + 2 + 3 + 4 + 5 = 15, and the sum of the numbers in Group 2 is 6 + 7 + 8 + 9 = 30. The sum of the numbers in both groups is 15 + 30 = 45, which is the same.

Alternatively, we could create the following two groups:

Group 1: 1, 2, 3, 4

Group 2: 5, 6, 7, 8, 9

In this case, the sum of the numbers in Group 1 is 1 + 2 + 3 + 4 = 10, and the sum of the numbers in Group 2 is 5 + 6 + 7 + 8 + 9 = 35. The sum of the numbers in both groups is 10 + 35 = 45, which is the same.

There are many other ways to create two groups of cards with the same sum using as many cards as possible. The key is to use all of the numbe

Answer:

group 1: 1,2,3,4,5

Group 2: 6,7,8,9

Step-by-step explanation:

my brain

Answer:

D

Step-by-step explanation:

A and C are equations. B is an inequality.

An expression does not have an inequality or equal sign.

Hence, D is the answer.

Answer:

C. 33

Step-by-step explanation:

Given:

[tex]\sqrt{x+3}=6[/tex]

Solution:

(square both sides)

[tex]x+3=6^{2}[/tex]

[tex]x+3=36[/tex]

[tex]x=36-3[/tex]

[tex]x=33[/tex]

Answer is 33

option C

The exact values for sin(2x), cos(2x) and tan(2x) without solving for x  4√5 /9, -1/9 and -4√5  respectively

Given:  cos(x)= 2/3 and x is in quadrant IIn trigonometry, cos(x) = adjacent/hypotenuse = 2/3.

adjacent = 2

hypotenuse = 3

Here, we will find the opposite

opposite =√(3²-2²) = √5

sin(x) = (√5)/3   (opp./hyp.)cos(x) = 2/3    

(adj./hyp.)tan(x) = (√5)/2 (opp./adj.)

Using trigonometry identity:

sin(2x)  = 2sin(x)cos(x) sin(2x)  

= 2× (√5)/3 × 2/3sin(2x)  

=  4√5 /9cos(2x) = 2cos²(x) - 1

cos(2x) = 2(2/3)² -1cos(2x) = -1/9

Also, we will find the exact value for tan.

tan(2x) = 2tan(x) / 1-tan²(x)tan(2x) = (2(√5))/2 / 1-((√5)/2)²

tan(2x) = √5 / (-1/4)

tan(2x) = -4√5

Therefore, the exact values are given above.

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Answer:

10

Step-by-step explanation:

The 2 subtracting signs become addition, which is 4 + 6

Answer:

Step-by-step explanation: the answer is 90

the answer is 3 x 3 x 10 because she has 3 boxes and 30 shells in each box. 30 divided by 3 is 10 therefore you would multiply 3 by 3 to get 9 then multiply 9 times 10 to get 90.

There is enough storage in the truck. The volume of the septic tank is about 30,164 gallons.

Given that:

Your company uses a truck with a storage tank capable of holding 30,500 gallons of waste.

A full septic tank in the shape of a cube measuring 191 inches on each side.

First, calculate the volume of the septic tank:

Volume of septic tank (V) = S³

where S is the side length of the septic tank

S =  191 inches

V = S³

V = 191³ = 6967871 cubic inches

Since we have 231 cubic inches in 1 gallon:

V = 6967871 / 231 = 30,164 gallons

Thus, the capacity of the full septic tank is 30,164 gallons

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Answer:

Step-by-step explanation:

i think it's black people x chicken = happy

Answer:

3/5

Step-by-step explanation:

Reduce fraction to lowest terms

1 is the greatest common divisor of 41 and 12. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

41 over 12

41

12

= 3 and 5 over 123

5

12

41 ÷ 12 = 3 remainder 5

Answer: [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Answer:

8 1/4

Step-by-step explanation:

Sould be your anwser.

Answer: n= 9 and n=11

Step-by-step explanation:

Assume that x is the lesser of the two numbers. The second figure must be x+2.

Since x*(x+2) = 99, we know that

x^2 + 2x - 99 = 0

We obtain x = 11 and 9 by searching for the roots of this equation.

This can also be resolved in the following ways:

We are aware that the two numbers (x and x +2) are consecutive odd numbers. Since x * (x + 2) = x2 + 2x, the value of x must be near to the square root of 99.

The squares 81 and 100 are the ones closest to the number 99. Additionally, we know that x * (x+2) is bigger than x2 (by a factor of 2x), therefore x must equal 9 and x+2 must equal 11.

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Answer:

−903.65625

Step-by-step explanation:

((((−4.5)(4.25))(−1.7−2.8))(0−7))((3)(0.5))

=((−19.125(−1.7−2.8))(0−7))((3)(0.5))

=(((−19.125)(−4.5))(0−7))((3)(0.5))

=86.0625(0−7)(3)(0.5)

=(86.0625)(−7)(3)(0.5)

=−602.4375(3)(0.5)

=(−602.4375)(1.5)

=−903.65625

0.8926 is the probability that the shipment will be rejected.

What does the math term "probability" mean?

Probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                              Statistics describes the examination of events subject to probability.

The probability that a digital​ watch is defective p = 10/50 = 0.2

                                                                       n = 10

Using the binomial probability formula

             P(x) = ⁿCₓ pˣ ( 1 - p)ⁿ⁻ˣ

Let x be the random variable that represents the number of defective watches.

The probability that the shipment will be​ rejected

  P(x ≥ 1 ) = 1 - P(0)

               = 1 - ¹⁰C₀ ( 0.2)⁰ ( 0.8)¹⁰

               = 1 - ( 0.8)¹⁰

                = 0.8926258176  ≈ 0.8926

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Answer: x=4

Step-by-step explanation:

first you add both side by 14 to get 12x=48 then you divide both sides by 12 to get 4 so x=4

Answer: ya

Step-by-step explanation:bc

Answer:

take wholesale cost and multiply it by 95%, then add to the original value

another way, just multiply by 1.95

Retail cost:  1.95*($99.50) = $194.03

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

So the sales price of the sled is   100%  + 95 % = 195 % of the cost

   = 1.95 * cost     =     1.95 * 99.50 = 194.03 dollars

Answer:

a = 16.51

angle A = 54

angle B = 63

Step-by-step explanation:

Recall the law of sines:

sinA/a = sinB/b = sinC/c

We know c is 20, and angle C is 63. Since b is also 20, angle B must also be 20. We know have two of the 3 angles, summing to 126, and we can find the last angle from that. 180-126=54, so angle A must be 54.

To solve for a, we need to know the ratio of the other two terms. Sin(63) is around 0.99, and 0.99/20 is 0.049. So we have 0.049=sin(54)/a. To solve for a, we divide by sin(54) and take the reciprocal of both sides, giving a = (sin54)/0.049, which is about 16.51, which is the length of the side a.

Wouldn't the answer be 1 and 4?

Answer:

≈ 18%

Step-by-step explanation:

% of customers preferring whole wheat bread = 100 - 55 = 45%

% of choosers of whole wheat bread who prefer turkey = 100 - 61 = 39%

Multiply: 0.45×0.39 = .1755

Answer:

18%

Step-by-step explanation:

i took the test :)

False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.

What is exponential decay function?

In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.

                     It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.

How do you calculate an exponential function?

The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.

                               The exponential function, which has the form, is a significant mathematical function. f(x) = ax.

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The unknown angle in the parallelogram is as follows:

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

In other words, a parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. Opposite sides are equal in length. Opposite angles are equal. The sum of any two adjacent angles of a parallelogram is equal to 180°

The sum of angles in a parallelogram is 360 degrees.

Therefore,

∠1 = 25 degrees

Hence,

Adjacent angles in a parallelogram are supplementary. This means adjacent angles sum up to 180 degrees.

Therefore,

∠2 + ∠1 = 180

∠2 + 25 = 180

∠2 = 180 - 25

∠2 = 155 degrees

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