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3 years ago

What is ten subtracted the difference of quadruple a number and the same number in expression form

Mathematics

1 answer:

Masja [62]3 years ago

6 0

Answer:

4x - x - 10. 10 subtracted from the difference of quadruple a number and the same number means you are subtracting 10 from the difference of quadruple a number and the same number. This means you are finding the difference of quadruple a number and the number, and then subtracting 10 from that.

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Which expression is the completely factored form of x6−64y3 ?

ss7ja [257]

We are given this

$x^6 -64y^3$

write it as the difference of cubes

$(x^2)^3 -(4y)^3$

use the formula for the difference of cubes

$(x^2-4y) ((x^2)^2+x^2*4y+(4y)^2)$

Now use the formula for the difference of squares as $4y = (2\sqrt{y} )^2$

$(x-2\sqrt{y}) (x+2\sqrt{y}) (x^4+4x^2y+16y^2)$

7 0

3 years ago

Read 2 more answers

A cylindrical glass with a radius of 5 cm and a height of 20 cm is balf full of milk. How many milliliters of milk are in the gl

REY [17]

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Find capacity of the glass :
--------------------------------------------------------------
Volume of the glass = πr²h
Volume of the glass = π(5)²(2)
Volume of the glass = 157.08cm³

--------------------------------------------------------------
Find the volume of the milk :
--------------------------------------------------------------
If the glass is half full,
Volume of the milk = 177.08 ÷ 2
Volume of the milk = 78.54 cm³

--------------------------------------------------------------
Convert cm³ to ml :
--------------------------------------------------------------
78.54cm³ = 78.54 ml

--------------------------------------------------------------
Answer: There is 78.54 ml of milk in the glass.
--------------------------------------------------------------

7 0

3 years ago

Please help i don’t understand

s344n2d4d5 [400]

Step-by-step explanation:

f(x) = x³ − 8x² − 12x + 96

Factor by grouping:

f(x) = x² (x − 8) − 12 (x − 8)

f(x) = (x² − 12) (x − 8)

f(x) = (x + √12) (x − √12) (x − 8)

f(x) = (x + 2√3) (x − 2√3) (x − 8)

The roots are ±2√3 and 8.

5 0

3 years ago

A triangular flag is 4 times as long as its width. A rectangular mat is 14 feet longer than its width.Both the flag and the mat

Svetradugi [14.3K]

Answer:

For the triangle: length = 24ft, width = 6ft.

For the rectangular mat: length = 18ft, width = 4ft.

Step-by-step explanation:

A triangular flag is 4 times as long as its width, meaning

$l = 4w$ ,

and the area of the this flag is 72 square feet, which means

$A =\dfrac{lw}{2} = \dfrac{w(4w)}{2}=72ft^2$

solving for width $w$ we get:

$w = \sqrt{\dfrac{72}{2}},$

$\boxed{w = 4\: feet}$

which gives a length of

$l= 4w = 4*6ft$

$\boxed{l= 24\: feet.}$

Similarly, rectangular mat is 14 feet longer than its width, meaning

$l_1 = w_1+14$

and its area is 72 square feet which means

$A = l_1w_1 = (w_1+14)w_1 = 72ft^2$

simplification gives

$w_1^2+14w_1-72=0$

which we solve using the quadratic formula to give

$\boxed{w_1= 4ft}$ ,

$w_1 = -18ft$ ,

and since the width cannot be a negative number, we choose $w_1= 4ft$ as our answer.

Thus, the length of the rectangular box is

$l_1 = w_1+14 = 4+14\\\\ \boxed{l_1 = 18\: feet.}$

To summarize, the length and the width of the triangular flag is 24 and 6 feet respectively, and for the rectangular box it is 18 and 4 feet respectively.

6 0

3 years ago

Write an equation for the following: The temperature is was 72° F and then dropped 2° per hour for the next eight hours.

murzikaleks [220]

so every hour it droped 2 degrees and it did this for eight hours you could times 2 by 8 and get 16 then minus it from 72

8 0

3 years ago