which expression is the equivalent to the given expression


(3m-4)³(3m³)

Answer: The two imaginary solutions with rational coefficients are +/- 4i and the two imaginary solutions with irrational coefficients are +/- 1.414213562i.

Step-by-step explanation:

I would recommend using pascal's triangle to solve this problem.

*Note: This is more of a quick answer, I can show a detailed step-by-step procedure if you need, just comment.

Answer:

y=3x-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of square + 1/2 area of 1 triangle * 4

Answer:

D. 11

Step-by-step explanation:

Take the two horizontal line measurements and subtract them.

13-9=4

That is how much it changed between these two numbers. Since x is exactly halfway between, simply divide 4 and 2.

4/2=2

Now, add that to 9 or subtract it from 13.

9+2=11

or

13-2=11.

Hope this helps!

If not, I am sorry.

Answer:

D. 11

Step-by-step explanation:

Since segment AC bisects segments ED and BF, the length of AC is the average of the lengths of EB and DF.

AC = x = (EB + DF)/2 = (9 + 13)/2 = 22/2 = 11

Answer: D. 11

12 butterflies would give birth to 36 larvae in 12 days, if It took 4 days for 4 butterflies to give birth to 4 larvae.

An equation is an expression that shows the relationship between two or more variables and numbers.

It took 4 days for 4 butterflies to give birth to 4 larvae. After 4 days, each butterfly produces a larvae

Hence for 12 butterflies in 12 days:

number of larvae = 12 butterflies * (12 days /4 days per larvae) = 36 larvae

12 butterflies would give birth to 36 larvae in 12 days, if It took 4 days for 4 butterflies to give birth to 4 larvae.

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The graph represents the trigonometric function y = cotx option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have shown a trigonometric graph in the picture.

As we know:

At x = 0

tan0 = 0

But cotx at x = 0 does not defined.

The csc x and sec x are the reciprocal of sinx and cosx and the sinx and cos have a sinusoidal graph.

Thus, the graph represents the trigonometric function y = cotx option (C) is correct.

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Answer:

18x + 14

Step-by-step explanation:

First, we need to distribute the 5:

 5(4x + 7) - 2x = __ + 21

 20x + 35 - 2x = __ + 21

Now, we can combine like terms:

 20x + 35 - 2x  = ___ + 21

  18x + 35 = ___ + 21

> subtract 21 from both sides to isolate "___"

 18x + 35 = __ + 21

          -21             -21

18x + 14 = ___

now that we have a solution, we should check that it works:

5(4x + 7) - 2x = ____ + 21

5(4x + 7) - 2x = 18x + 14 + 21  

{simplify both sides:}

20x + 35 -2x = 18x + 35

18x + 35 = 18x + 35

(TRUE)

So, we know our solution is 18x + 14

hope this helps!!

Answer:

186

Step-by-step explanation:

x/200 = 0.93

x = 200(0.93)

x = 186

The number of problems that Indigo did answer correctly in the final exam is 186.

Given that:

Indigo earned a grade of 93% on her multiple-choice history final which had a total of 200 problems.

Total number of problems = 200

So, 100% grade = 200 problems

Let x be the number of problems which is answered correctly to get 93%.

Using the proportional concept,

[tex]\frac{x}{200} =\frac{93}{100}[/tex]

Cross multiply,

100x = 93 × 200

Dividing whole by 100,

x = 93 × 2

x = 186

Hence, the number of problems that are answered correctly is 186.

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Answer:

2

Step-by-step explanation:

y=k/x

58=k/9

k=58×9

k=522

y=522/x

when x=261

y=522/261

y=2

Answer:

See below ~

Step-by-step explanation:

Linear pairs add up to 180 degrees.

⇒ 4x - 10 + 3x + 43 = 180

⇒ 7x + 33 = 180

⇒ 7x = 147

⇒ x = 21

∠A = 4(21) - 10

∠A = 84 - 10

∠A = 74°

∠B = 3(21) + 43

∠B = 63 + 43

∠B = 106°

Answer:

1/5 divided by 4 equals to 0.05

The value of (f/g)(-1) is 0, value of (g . f) (2) is  -3√3, the value of (g - f)(-1)  is √15, and the value of (g + f) (2) is √3 - 3

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have two functions:

f(x) = 1 - x²

g(x) = √(11 - 4x)

f(-1) = 0

g(-1) = √15

f(2) = -3

g(2) = √3

(f/g)(-1) = f(-1)/g(-1) = 0/√15  = 0

(g . f) (2) = g(2)f(2) = (√3)(-3) = -3√3

(g - f)(-1) = g(-1) - f(-1) = √15 - 0 = √15

(g + f) (2) = g(2) + f(2) = √3 + (-3) = √3 - 3

Thus, the value of (f/g)(-1) is 0, value of (g . f) (2) is  -3√3, the value of (g - f)(-1)  is √15, and the value of (g + f) (2) is √3 - 3

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You work for a lending institution and are tasked with whether or not to approve a home loan, its  Somewhat likely; that recurring debt is very close to what is allowed. Option B.

Generally,  any payment that is utilized to repay debt obligations that occur on a continuous basis is said to be recurrent debt.

In conclusion, Recurring debt consists of payments that cannot be readily canceled at the request of the payer. Examples of this kind of debt include alimony, child support, and loan installments.

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Answer:

its B

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

because I sense three and You need

Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:

Horizontal asymptote at y = 0.

They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.

Researching this problem on the internet, the functions are given as follows:

The limits are given as follows:

[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 0[/tex]

[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty[/tex]

Hence, the correct statement is:

Horizontal asymptote at y = 0.

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Answer:

x^2-2x-3

Step-by-step explanation:

(x+1)(x-3)

x(x-3)+1(x-3)

The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is

[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]

The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-

[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is

[tex]tan\theta = tan\dfrac{\pi}{4}=1\ \ \ \ Cos \theta=Cos\dfrac{\pi}{4}=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta =Sin\dfrac{\pi}{4}= \dfrac{\sqrt{2}}{2}[/tex]

The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-

[tex]tan\theta=tan \dfrac{\pi}{6}= \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta =Sin\dfrac{\pi}{6}= \dfrac{1}{2} \ \ \ \ \ Cos \theta = Cos\dfrac{\pi}{6}= \dfrac{\sqrt{3}}{2}[/tex]

Therefore the trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is

[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]

The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-

[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]

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Answer:

the algebraic expression is ; x-7=5

Answer:

see explanation

Step-by-step explanation:

the vertices of S under the translation [tex]\left[\begin{array}{ccc}0\\-3\\\end{array}\right][/tex] are

(2, 3 ) → (2, 0 )

(6, 3 ) → (6, 0 )

(4, 5 ) → (4, 2 )

Under an anticlockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) then the above coordinates become

(2, 0 ) → (0, 2 )

(6, 0 ) → (0, 6 )

(4, 2 ) → (- 2, 4 )

which are the coordinates of the vertices of the image T

then the rotation is 90° anticlockwise about the origin , point (0, 0 )

Answer:

Below

Step-by-step explanation:

the vertices of S under the translation  are

(2, 3 ) → (2, 0 )

(6, 3 ) → (6, 0 )

(4, 5 ) → (4, 2 )

Under an anticlockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) then the above coordinates become

(2, 0 ) → (0, 2 )

(6, 0 ) → (0, 6 )

(4, 2 ) → (- 2, 4 )

which are the coordinates of the vertices of the image T

then the rotation is 90° anticlockwise about the origin , point (0, 0 )

Answer:

ED + EF < DF

Step-by-step explanation:

shorter side lengths added together > larger side length

however, smaller side lengths are < larger

So ED + ED < DF means that this cannot be a triangle

Answer:

ED + EF < DF

(second option listed)

Step-by-step explanation:

for a triangle, the sum of the two shorter side lengths must be greater than the larger side length

so we know that the two smaller lengths (DE and FE) would have to add up to be greater than the larger side length (DF)

because this is not the case, we know that we cannot construct a triangle

[to construct a triangle:]

smaller + smaller > bigger

DE + FE > DF; which is false/not the case

so because DE + FE < DF, we cannot form a triangle

so, ED + EF < DF explains why these three segments cannot construct a triangle

[tex](7 {x}^{3} - 4 {x}^{2} ) + (2 {x}^{3} - 4 {x}^{2} ) \\ 7x ^{3} - 4 {x}^{2} + 2 {x}^{3} - 4 {x}^{2} \\ 7 {x}^{3} + 2 {x}^{3} - 4 {x}^{2} - 4 {x}^{2} \\ 9 {x}^{3} - 8 {x}^{2} [/tex]

PLEASE GIVE BRAINLIEST

Therefore , the solution of the given problem of equation comes out to be  9x³ - 8x².

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra.

Here, we have,

Polynomial function total

Polynomial functions are those that have a leading degree of three or higher. given the total;

(7x^3-4x^2)+(2x^3-4x^2)

Expand => (7x 3-4 times) + (2x 3-4 times)

= > 7x^3-4x^2 + 2x^3-4x^2

assemble similar terms

=> 7x^3 + 2x^3 - 4x^2 -4x^2

=> 9x^3 - 8x^2

Therefore , the solution of the given problem of equation comes out to be 9x³ - 8x².

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The equation best models the situation 100 + 0.8(x - 100) = 250.

The correct option is (D)

An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.

The complete question is:

An ongoing promotion at a department store gives customers 20% off the portion of their bill that is over $100. Ruby's total bill at the department store after the promotion has been applied is $250. If x represents the amount of money Ruby would have spent on the same purchase at the department store without the promotion, which of the following equations best models the situation?

A. 0.2x + 100 = 250

B. 0.8x + 100 = 250

C. 100 + 0.2(x - 100) = 250

D. 100 + 0.8(x - 100) = 250

Given:

Department store gives 20 % off the portion of the bill that is over 100 dollars.

Total bill = 250

let x is the amount of money she would have spent without the promotion.

Then, cost after discount applies = 0.8 ( x - 100 ).

Hence, the equation is 100 + 0.8 (x - 100) = 250.

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Answer:

2, 3

Step-by-step explanation:

See attached images for work.

Using the area of a sector formula, we get the area to be:

[tex]\pi (10)^{2} \left(\frac{45}{360} \right)=\boxed{12.5\pi \text{ cm}^{2}}[/tex]

The statement C is true about the proportional relationship that is modeled by Peter’s equation. Peter walks at a rate of 13/4 miles per hour.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The complete question is

"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?

A: Peter walks a rate of 4/13 miles per hour.

B: Peter walks at a  rate of 4 miles per hour.

C: Peter walks at a rate of 13/4 miles per hour.

D: Peter walks at a rate of 13 miles per hour."

Given equation;

Y=13/4x

Where,

y represents the number of miles

x is the time period

The equation shows Peter walks at a rate of 13/4 miles per hour.

Hence statement C is true about the proportional relationship that is modeled by Peter’s equation.

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The value of the angle R in the right triangle PQR is sin⁻¹ 6 / 8

The situation forms a right angle triangle.

The angle R can be found as follows:

using trigonometric ratios,

sin R = opposite / hypotenuse

Therefore,

opposite sides = 6

hypotenuse = 8

sin R = 6 / 8

R = sin⁻¹ 6 / 8

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[tex] \frac{ {3}^{6} \times {5}^{3} }{ {9}^{2} \times {5}^{2} } \\ \\ \frac{ {3}^{6} \times {5}^{3 - 2} }{ {3}^{4} } \\ \\ {3}^{6 - 4} \times {5}^{1} \\ \\ {3}^{2} \times 5 \\ \\ 9 \times 5 \\ \\ 45.[/tex]