Transversal Problems with Equations (Level 1)
Delta Math

Answer:

$ 6875.05

Step-by-step explanation:

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The other roots of the given polynomial equation are 2 and -2.

Given polynomial equation is:

[tex]x^{6} -16x^{2} =4x^{4} -64[/tex].....(1)

A polynomial is the sum of monomials of the form axⁿ where n is a whole number.

Rewriting the (1) as:

[tex]x^{6} -4x^{4} -16x^{2} +64=0[/tex]

[tex]x^{4} (x^{2} -4)-16(x^{2} -4)=0[/tex]

[tex](x^{2} -4)(x^{4} -16)=0[/tex]

[tex]x^{2} -4=0[/tex]

[tex]x^{2} =4[/tex]

[tex]x=2[/tex]

[tex]x=-2[/tex]

So, the other roots are 2 and -2.

Hence, the other roots of the given polynomial equation are 2 and -2.

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Answer:

its b

Step-by-step explanation:

took it

Answer:

i belive its A if you get it wrong im sorrry

Step-by-step explanation:

Option C is the statement that best describes a problem that occurs when the majority criterion is observed. This is because the majority criterion is a single-winner system.

It is given that all the options except option C are true about the majority criterion.

Option C - "The majority criterion must be used for first place, second place, third place, and so on to be valid" is not correct because this criterion is used only for choosing the first place.

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Answer:

D. 41

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

First, convert - 1/41 to a decimal - 1/41 as a decimal which is just 1 divided by 41 which = 0.024390243902439 now multiply that by -41 and you get your answer.

Answer:

I honestly believe it's B I'm sorry if it's wrong

Answer:

No.

Step-by-step explanation:

The triangles aren't congruent because the value of C is unsaid.

Answer:

The second one is correct.

Step-by-step explanation: if you add together all the numbers you get 563 so now if you divide 166 by 563 you get 0.2948

Answer:

  a = 80°

Step-by-step explanation:

In order to solve this figure, we need to find a useful relationship between the various angles. We can use the straight angle at the upper left vertex of the equilateral triangle.

__

The sum of angles there is ...

  a + 60° +(a/2) = 180°

  3/2a = 120° . . . . . . . . . . subtract 60°, collect terms

  a = 80° . . . . . . . . multiply by 2/3

_____

Additional comment

All triangles are isosceles, because they all have 2 (or more) sides the same length. That means the base angles are half the supplement of the a.pex angle. Of course, adjacent vertices of a rhombus have supplementary angles.

The initial amount of cash that Sharon will need in this scenario will be $67821.20.

The initial amount of cash will be:

= ($282000 × 20%) + ($282000 × 2%) + ($276360 × 2%) + ($162) + ($37) + $55

= $56400 + $5640 + $5527.20 + $162 + $37 + $55

= $67821.20

Therefore, the the initial amount of cash Sharon will need is $67821.20.

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Answer:

You would pay $242 in total interest over the life of this loan.

Step-by-step explanation:

Answer:

Principal is the money that you originally agreed to pay back. Interest is the cost of borrowing the principal.

Step-by-step explanation:

First, calculate the interest portion of the payment by multiplying the mortgage balance by the annual interest rate. Then divide the result by 12, for the number of months in the year:

Answer:

C. 8 x (2 + 9) = (8 x 2) + (8 x 9)

Step-by-step explanation:

Let's solve to see!

Solve using PEMDAS:

Parenthesis

Exponents

Mulitplication/Division (depending on which one comes first - starting from left to right)

Addition/Subtraction (depending on which one comes first - starting from left to right)

A)

3 x (5 + 1) = 3 + (5 x 1) <== parenthesis first

3(6) = 3 + 5 <== multiply and add

18 = 8

False

B)

5 x (2 + 8) = 10 + 8 <== parenthesis first

5(10) = 10 + 8 <== multiply and add

50 = 18

False

C)

8 x (2 + 9) = (8 x 2) + (8 x 9) <== parenthesis first

8(11) = 16 + 72 <== multiply and add

88 = 88

True

D)

4 + (2 + 9) = (4 + 2) + (4 + 9)​ <== parenthesis first

4 + 11 = 6 + 13 <== add

15 = 19

False

Therefore, the correct answer is C.

Hope this helps!

Using linear function concepts, it is found that the trend line would be expected to have a positive slope.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the more times you go to the movies, the more money you are expected to spend, hence the variables are direct proportional and the trend line would be expected to have a positive slope.

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In probabilistic simulation, one or more of the independent variables follows certain probability distributions.

This is also known as Probabilistic Analysis. It is an analysis that tells or gives room for network assessment that is done using probabilistic input data.

Note that it is vital  when there is input parameters known to be random and as such, one or more of its independent variables follows a specific probability distributions.

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Answer:

317

Step-by-step explanation:

The numbers change by -7 each step in the sequence.  Let n be the position in the sequence, starting with n=0 for the first point.  The value of a number at the nth position is (352 - 7*n).

The 43th position has the value 317.

n  #  Dif 352 -7n

0 352    352

1 345   -7   345

2 338   -7   338

3 331   -7   331

4 324   -7   324

Answer:

Step-by-step explanation:

i have no idea

Answer:

  yes, after 52 minutes

Step-by-step explanation:

If t represents the time in minutes each person is working after Sheila arrives, then the number of parts produced is ...

  Eric: 156 +12t

  Sheila: 15t

These values are equal when ...

  156t +12t = 15t . . . . . Eric's part count is equal to Sheila's part count

  156 = 3t . . . . subtract 12t

  52 = t . . . . divide by 3

Sheila will catch up to Joe after 52 minutes.

879,000 square feet  is the lateral surface area of the pyramid

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The lateral surface area of a square pyramid can be calculated using the formula L = (1/2)Pl

where P is the perimeter of the base and l is the slant height of the pyramid.

Since the base of the pyramid is a square, the perimeter is 4 times the length of one side, or 4 × 750 = 3000 feet.

To find the slant height, we can use the Pythagorean theorem with one leg equal to half the length of the base (375 feet) and the other leg equal to the height (450 feet):

l =√375² + (450)²

= 583.095 feet

Therefore, the lateral surface area is:

L = (1/2) × 3000 × 583.095

= 879,000 square feet

Hence,879,000 square feet  is the lateral surface area of the pyramid

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Answer:

G

Step-by-step explanation:

when x = -1 the two equations equal the same thing -2

so they both go thru the point (-1,-2)

Answer:

x = 0.75 :: y = 1.5

Step-by-step explanation:

6 + 4y = 12

4y = 12 - 6

4y = 6

y = 1.5

_________

2x + 3(1.5) = 6

2x + 4.5 = 6

2x = 6 - 4.5

2x = 1.5

x = 0.75

Answer:

$621

Step-by-step explanation:

To find the total amount they collected, sum the amounts collected in each month.

[tex]\begin{tabular}{c l} & 275\\+ & 210\\+ & 136\\\cline{1-2} & 621\\\cline{1-2} & ^1^1\\\end{tabular}[/tex]

Answer:

the area is equal to 180cm

Step-by-step explanation:

Area = (heigh x base) / 2

Area = (18 x 20) / 2 = 180

whenever you see this kind of question you don't need to start doing all the expressions, but look at the first and last numbers of the answer, the ones that cannot be changed (have no x or y or have those that cannot be changed in this expression):

the answer can't be a or c because in the given expression we can find 3x²y² and that's the only number where we can find x²y², so it cannot be changed. (you'll have 3x²y² in the answer)

now let's look at the last digit, that doesn't have a x or a y:

in b and d we can find 2 different results so this can determine which answer is correct:

let's look back at the given expression: -7+4= -3

so the answer is b

The numbers that the product is 26 and one of the numbers is one larger than six times the other number are 2 and 13.

The product of two numbers is 26.

let the two numbers be x and y.

Therefore,

xy = 26

One of the numbers is one larger than six times the other number. Therefore,

x = 1 + 6y

Hence,

xy = 26

(1 + 6y)y = 26

y + 6y² = 26

6y² + y - 26 = 0

using quadratic formula,

[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex]

where

a = 6

b = 1

c = - 26

Therefore,

y = 2 or - 13 / 6

We can only use the positive value.

Hence,

2x = 26

x = 26 / 2

x = 13

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By definition, the distance between two points is always positive, so the correct option is D.

Let's say that our plane has rectangular coordinates, so it would be something like a xy-plane.

Each point has 2 coordinates, so we can write:

A = (x₁, y₁)

B = (x₂, y₂)

The distance between the points is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

As you can see, the distance is defined as positive (indifferent of the coordinates of the points).

So the correct option is D, the distance is always positive.

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Answer:

[tex]3a - 1[/tex]

Explanation:

[tex] \frac{9a - 3}{3} [/tex]

Factor out 3

[tex] \frac{3(3a - 1)}{3} [/tex]

Cancel out the common factor 3

[tex]3a - 1[/tex]

Answer:

we cannot see the table, did u attach any photo before asking the question?

Answer:

the answer is y=4x-14

Step-by-step explanation:

I know that writing slope intercept form is extremely easy as you follow the y=mx+b formula. All that was really required was to simplify the equation and isolate the X and Y on separate sides of the equal. I hope this helps

A polynomial is an expression. The completely factored form of the polynomial 3x⁵-7x⁴+6x²-14x is (x⁴+2x)(3x-7).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The completely factored form of the polynomial can be done in the following manner,

[tex]3x^5-7x^4+6x^2-14x\\\\= x^4(3x-7)+2x(3x-7)\\\\=(x^4+2x)(3x-7)[/tex]

Hence, the completely factored form of the polynomial 3x⁵-7x⁴+6x²-14x is (x⁴+2x)(3x-7).

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Answer:

A on edge

Step-by-step explanation:

I passed the test!