Find the product using the appropriate algebraic identity:
(m^2 +5/7) (m - 2/5)

Answers

Answer 1

Answer:

m^3 - 2m^2/5 + 5m/7 - 2/7

Step-by-step explanation:

Here, we want to expand the given expression

We have;

m^2(m-2/5) + 5/7(m-2/5)

= m^3 - 2m^2/5 + 5m/7 - 2/7


Related Questions

What is the perimeter of the square below?

64m^2

Answers

plzit explain question the get really don't I

What are the coefficients for the expression
[tex]4x4 + x3 - 2x2 - 6x + 2 [/tex]


Answers

4x^4+x3-2x^2-6x+2
step by step:

(1): "x2" was replaced by "x^2". 2 more similar replacement(s).

2. ((((4•(x4))+(x3))-2x2)-6x)+2 (equation at the end of step 1)

3. equation at the end of step 2:

(((22x4 + x3) - 2x2) - 6x) + 2

4. polynomial roots caclulator:
3.1 Find roots (zeroes) of : F(x) = 4x4+x3-2x2-6x+2
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 4 and the Trailing Constant is 2.

final result:

4x4 + x3 - 2x2 - 6x + 2

6x - 2 + 2x = -2 + 4x + 8

Simplifying

6x + -2 + 2x = -2 + 4x + 8

Reorder the terms:

-2 + 6x + 2x = -2 + 4x + 8

Combine like terms: 6x + 2x = 8x

-2 + 8x = -2 + 4x + 8

Reorder the terms:

-2 + 8x = -2 + 8 + 4x

Combine like terms: -2 + 8 = 6

-2 + 8x = 6 + 4x

Solving

-2 + 8x = 6 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-2 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x

-2 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0

-2 + 4x = 6 + 0

-2 + 4x = 6

Add '2' to each side of the equation.

-2 + 2 + 4x = 6 + 2

Combine like terms: -2 + 2 = 0

0 + 4x = 6 + 2

4x = 6 + 2

Combine like terms: 6 + 2 = 8

4x = 8

Divide each side by '4'.

x = 2

Simplifying

x = 2

In the expression below, what is the coefficient?

3y-4

Answers

Answer: 3y is the coefficient.

Step-by-step explanation: A coefficient is numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or, to put it simpler, a coefficient is a number with an variable next to it.

NEED HELP ASAP

Function f is represented by f(x) = 5(x + 11)
A. Find f(-2)

Answers

Answer:

f(-2)=45

Step-by-step explanation:

f(x)=5(x+11)

x= -2

so basicly its just 5(-2+11)

which is -10+55 and that is 45

so f(-2)=45

Considering the given function, it is found that the numeric value at x = -2 is of f(-2) = 45.

What is the definition of the function?

The function is defined by:

f(x) = 5(x + 11).

Hence, when x = -2, we have that:

f(-2) = 5(-2 + 11) = 5 x 9 = 45.

More can be learned about functions at https://brainly.com/question/25537936

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7 x 7 ( __ x 7 ) + ( 2 x 7 )
= __ + 14
=

Answers

Answer:

Step-by-step explanation:

1)  5

2)  63

????

A 7-by-7 foot rug is shown. A coin is tossed onto the rug randomly. Which of these describes the probability that the coin will land on an area that is white? *

Answers

Answer :

The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex]

Explanation :

Given that,

A 7-by-7 foot rug is shown in figure.

Suppose, all parts are equal.

The area of rug is

[tex]A_{r}=7\times7[/tex]

Area of one part of rug is

[tex]A'_{1}=3.5\times3.5[/tex]

We need to calculate the probability that the coin will land on an area that is white

Using formula of probability

[tex]P=\dfrac{Area\of\ white\ part}{Area\of\ total\ rug}[/tex]

Put the value into the formula

[tex]P=\dfrac{(3.5\times3.5)+(3.5\times3.5)}{7\times7}[/tex]

[tex]P=\dfrac{2\times3.5\times3.5}{7\times7}[/tex]

[tex]P=\dfrac{1}{2}[/tex]

Hence, The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex].

The temperature is 2°C. The wind chill makes it feel 7°C colder.
and

Abe’s score was 15 in a card game. Then he lost 12 points two hands in a row. FAST PLS

Answers

I thing the temperature is 15

The cost of 7 scarves is $50.75. What is the unit price? The unit price is $ per scarf.

Answers

50.75 divided by 7 gets you $7.25 per scarf :D

There is a sales tax of S6 on an item that costs $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before ta

Answers

Answer:

$150

Step-by-step explanation: 11.25 divided by tax rate of 7.5 % equals 150

Using f(x) = 2x + 1,

find the solution for f(4). *

Answers

Answer:

Step-by-step explanation:

plug in 4 for x then simplify

= 2(4) + 1

= 8 + 1

= 9

hope this helps <3

Answer: f (4) = 9

Step-by-step explanation:

f (x) = 2x + 1

f (4) = 2 (4) + 1

f (4) = 8 + 1

f (4) = 9

A line is drawn through points A and B on the coordinate plane shown below.


A line is drawn through points A and B on the coordinate plane shown below.
Which coordinates BEST represent the location of the x-intercept of the line?
A:(-2,0)
B:(0,-2)
C:(3,0)
D:(0,3)

Answers

The answer is C:(3,0). An x-intercept is when a line crosses the x-axis and therefore can be determined by looking at that point.
C..........................

A) an = 4 − 3

B) an = 4 + 1

C) an = 4 + 3

D) an = 4 − 1

Answers

It should be C) an = 4+3

Please help it’s due tomorrow!

Answers

Look on a greater and less then calc
A) < B) > C) < D) > E) < D) < i think

please help, my teacher won't respond to email and everyone else is busy

Answers

Answer:

16.

x<5

hope this helps!!:)

Step-by-step explanation:

16

I think. Plz tell me if I’m wrong. Stay safe

HELP!!
What is the surface area of this shape?​

Answers

207.5 hope this helps

Expand (−7n)4

A. −n(4⋅4⋅4⋅4⋅4⋅4⋅4)

B. (−7n)⋅(−7n)⋅(−7n)⋅(−7n)

C. −7(n⋅n⋅n⋅n)

D. −7n⋅4

Answers

B. (-7n)(-7n)(-7n)(-7n)

Order these from biggest to smallest output.

Answers

order what? sorry theirs no photo or anything

a worker has installed 65% of the tiles for a tile floor. If they installed 195 tiles so far, how many tiles are there total

Answers

Answer:

300 tiles.

Step-by-step explanation:

First, you divide 195 by 65 to get what 1% is. 195/65 = 3. 1% is 3. Then you multiply 3x100 because there is 100%. So that is 300 and that's why there are 300 tiles in total. Hope this helped! :)

The answer is 300 tiles

someone please help me lol

Answers

Answer:

Undefined

Step-by-step explanation:

We see that the domain of f is (-5,5], where ( means not included, ] means included.

Therefore, since -5 is not in the domain, the value is undefined.

CAN SOMEONE PLS HELP WITHT HSI ASAP

Answers

Answer:

[tex]x = \frac{ \sqrt{6} }{2} [/tex]

[tex]y = \frac{3 \sqrt{2} }{2} [/tex]

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

theta = 30°

hypotenuse = √6

opposite = x

adjacent = y

1) find x using the sin formula

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]

[tex] \sin(30) \times \sqrt{6} = x[/tex]

[tex] \frac{ \sqrt{6} }{2} = x[/tex]

[tex]x = \frac{ \sqrt{6} }{2} [/tex]

2) find y using the cos formula

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]

[tex] \cos(30) \times \sqrt{6} = y[/tex]

[tex] \frac{3 \sqrt{2} }{2} = y[/tex]

[tex]y = \frac{3 \sqrt{2} }{2} [/tex]

You need 4 cups of orange juice and 3 cups of cranberry juice to make 7 total cups of fruit punch. How many cups of each juice do you need to make 28 cups of fruit punch?

Answers

Step-by-step explanation:

4 cups of orange juice + 3 cups of cranberry juice = 7 cups of fruit punch

28 = 4 * 7 so all you would need to do is multiply the number of cups by 4

4( 4 cups of orange juice + 3 cups of cranberry juice = 7 cups of fruit punch)

16 cups of orange juice + 12 cups of cranberry juice = 28 cups of fruit punch

I hope this helps!!!!

I really tried my best to explain so please let me know if this did or did not make sense

Have a nice day!!!

Please help
Answer fast

Answers

Answer:

k = 2

Step-by-step explanation:

Based on the right triangle altitude theorem, thus:

4 = √(k*8)

Square both sides

4² = k*8

16 = 8k

Divide both sides by 8

16/8 = 8k/8

2 = k

k = 2

Solve by using elimination. Express your answer as an ordered pair.
answer choice
(3, 5)
(11, 36/7)
(5, 3)
(8, 6)

Answers

Answer: (5,3)

Step-by-step explanation:

What are the x - and y -intercepts of the equation 3x+4y=24?

Answers

Given:

The equation is

[tex]3x+4y=24[/tex]

To find:

The x- and y-intercepts of the given equation.

Solution:

We have,

[tex]3x+4y=24[/tex]

Putting x=0, we get

[tex]3(0)+4y=24[/tex]

[tex]0+4y=24[/tex]

[tex]y=\dfrac{24}{4}[/tex]

[tex]y=6[/tex]

Therefore, the y-intercept of the given equation is 6.

Putting y=0, we get

[tex]3x+4(0)=24[/tex]

[tex]3x+0=24[/tex]

[tex]x=\dfrac{24}{3}[/tex]

[tex]x=8[/tex]

Therefore, the x-intercept of the given equation is 8.

Hello! Can you help you can get more points! Click on the photo for more view etc.

Answers

Answer:

22,950

Step-by-step explanation:

subtract 51,550 and 28,600. 0 - 0 = 0 then 5-0=5 5-6 you can not do so you barrow from the 1. 1 becomes 0 and 5 becomes 15. 15-6=9. 0-8 you can not do so you need to borrow from the 5. 5 becomes 4 and 0 becomes 10. 10-8=2. Finally, 4-2=2. Put is all together and you have 22,950.

Trent kept track of his leaf-raking business as shown. What was his profit?

Answers

Answer:

506 $

Step-by-step explanation:

Answer:

Step-by-step explanation:

there is nothing shown, I’m sorry we can’t answer without numbers

d
Evaluate
arcsin
(6)]
at x = 4.
dx

Answers

Answer:

[tex]\frac{1}{2\sqrt{5} }[/tex]

Step-by-step explanation:

Let, [tex]\text{sin}^{-1}(\frac{x}{6})[/tex] = y

sin(y) = [tex]\frac{x}{6}[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\frac{1}{6}[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}[/tex] ---------(1)

[tex]\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}[/tex]

cos(y) = [tex]\sqrt{1-\text{sin}^{2}(y) }[/tex]

          = [tex]\sqrt{1-(\frac{x}{6})^2}[/tex]

          = [tex]\sqrt{1-(\frac{x^2}{36})}[/tex]

Therefore, from equation (1),

[tex]\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]

Or [tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]

At x = 4,

[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}[/tex]

[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}[/tex]

                   [tex]=\frac{1}{6\sqrt{\frac{36-16}{36}}}[/tex]

                   [tex]=\frac{1}{6\sqrt{\frac{20}{36} }}[/tex]

                   [tex]=\frac{1}{\sqrt{20}}[/tex]

                   [tex]=\frac{1}{2\sqrt{5}}[/tex]

15. Given Square ABCD, if AB = 2x + 4 and
CD = 3x - 5, find BC.

Equation: _____
X = _____
BC = _____

Answers

Answer:

equation : 2x + 4 = 3x - 5

X = 9

BC = 22

The equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.

What is a square? What is a mathematical equation? What do you mean by domain and range of a function?

In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

Area: (side)²Perimeter: 4 x sideNumber of vertices: 4Number of edges: 4Internal angle: 90°Properties: Convex polygon, Equilateral polygon, Isogonal figure, Isotoxal figure, CyclicType: Quadrilateral, Regular polygon

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is square ABCD and AB = 2x + 4 and CD = 3x - 5

Now -

AB = CD

Equation will be -

2x + 4 = 3x - 5

4 + 5 = 3x - 2x

x = 9

and

AB = BC = CD = AD = 2x + 4 = 2 x 9 + 4 = 22

BC = 22

Therefore, the equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.

To solve more questions on square, visit the link below -

https://brainly.com/question/1603804

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What is the total cost of a $75.00 item with a sales tax of 4%?

Answers

Answer:

Step-by-step explanation:

75+[(75*4)/100]=75+3=78

John is 14 years older than Sam and the product of their ages is 275. How old is Sam?

A. 11
B. 5
C. 3
D. 8

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

The answer is A because 11+14=25 and you multiply 25 by 11 to see it equals 275.

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