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3 years ago

Write and algebraic expression for 10 less than the product of seven and F

Mathematics

1 answer:

denis23 [38]3 years ago

5 0

Answer:

f(x) = 7x-10

Step-by-step explanation:

Complete question;

Write and algebraic expression for 10 less than the product of seven and a number.

Let the number be x;

The product of seven and the number is expressed as;

= 7 * x

= 7x

If 10 is less than the product of seven and a number then the expression becomes

7x - 10

The required algebraic expression is f(x) = 7x-10

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Factorise a.x3+4.a.x

Contact [7]

Answer:

${ax}^{3} + 4ax \\$

factorise out a and x :

${ \boxed{answer{= ax( {x}^{2} + 4) }}}\\ but \: farther \: more : \\ = ax( {x}^{2} + {2}^{2} )$

but from general factorization:

${ \boxed{( {a}^{2} + {b}^{2}) = {(a + b)}^{2} - 2ab }}$

a » x

b » 2

therefore:

$= ax \{ {(x + 2)}^{2} - 2(x)(2) \} \\ \\ = { \boxed{ \boxed{ax( {x + 2)}^{2} - 4x }}}$

4 0

3 years ago

Need help pleasethank you

ad-work [718]

To divide like bases just subtract the exponents
answer is 2^(13-3) or 2^10 or 1024

8 0

3 years ago

Been stuck on these last 2 questions. can anybody help? thanks in advance!

Maurinko [17]

The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9

Equation of the line:

The standard form of the equation of the line is written as

y = mx + b

here

x and y represents the coordinates of the equation

m refers the slope of the equation

b refers the y intercept of the equation

Given,

Here we have the points (7, -2) and (11, 5).

Now we have to find the equation that passes through this points.

If you want to find the equation of the line, we have to find the slope and the intercept of the line.

The slope of the line is calculated by using the given point (7, -2) and (11, 5),

=> m = (11 - 7) / ( 5 - (-2))

=> m = 4/7

Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,

=> 5 = (4/7) (11) + b

=> 35 = 44 + b

=> b = -9

Therefore, the equation that passes through the points is y = 4/7x - 9

To know more about equation of the line here.

brainly.com/question/21511618

#SPJ1

4 0

1 year ago

Which equation represents a line that passes through the point ( 6 , − 3 ) and is parallel to the graph of y = 3 x + 1 ?

Ratling [72]

Answer:

y + 3= 3(x - 6) ← point-slope form

y = 3x - 21 ← slope-intercept form

3x - y = 21 ← standard form

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂

{Two lines are parallel if their slopes are equal}

y = 3x + 1 ⇒ m₁ = 3 ⇒ m₂ = 3

(6, -3) ⇒ x₁ = 6, y₁ = -3

point-slope form:

y - (-3) = 3(x - 6)

y + 3 = 3(x - 6)

y + 3 = 3x - 18 {subtact 3 from both sides}

y = 3x - 21 ← slope-intercept form

-3x + y = -21 {multiply both sides by (-1)}

3x - y = 21 ← standard form

8 0

3 years ago

What is the quotient of m^6/5 divided by 5/m^2

DENIUS [597]

Answer:

$\large\boxed{\dfrac{m^8}{25}}$

Step-by-step explanation:

$\dfrac{m^6}{5}\div\dfrac{5}{m^2}\\\\\text{Divide by a fraction is the same as multiply by its reciprocal}\\\\=\dfrac{m^6}{5}\times\dfrac{m^2}{5}=\dfrac{m^6\times m^2}{5\times5}\\\\\text{use}\ a^n\times a^m=a^{n+m}\\\\=\dfrac{m^{6+2}}{25}=\dfrac{m^8}{25}$

3 0

4 years ago

Write and algebraic expression for 10 less than the product of seven and F￼￼

Write and algebraic expression for 10 less than the product of seven and F