All categories

2 years ago

4n -6 = 10n Simplify.

Mathematics

2 answers:

pentagon [3]2 years ago

8 0

-----------------------------------------------------------------------------------------------------------------

Answer: n = -1

-----------------------------------------------------------------------------------------------------------------

add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

-----------------------------------------------------------------------------------------------------------------

simplify.

(add the numbers)

4n − 6 + 6 = 10n + 6

4n = 10n + 6

-----------------------------------------------------------------------------------------------------------------

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

-----------------------------------------------------------------------------------------------------------------

simplify. (again)

(combine like terms) (combine like terms)

4n − 10n = 10n + 6 − 10n −6n = 10n + 6 − 10n

−6n = 6

-----------------------------------------------------------------------------------------------------------------

divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

-----------------------------------------------------------------------------------------------------------------

simplify. (again)

(cancel terms that are in both the numerator and denominator)

n = 6/−6

(divide the numbers)

n = 6/−6

n = 1

-----------------------------------------------------------------------------------------------------------------

ruslelena [56]2 years ago

6 0

Answer:

n= -1

Step-by-step explanation:

You might be interested in

Is 26 a perfect square? Why or why not?

VladimirAG [237]

No, because square root of 26 is 5.099

6 0

3 years ago

Read 2 more answers

A box company is designing a new rectangular gift container. The marketing department has designed a box with a width 2 inches s

Sladkaya [172]

Volume of the box= 56 cubic inches
let x is the length, then
width =2 inches shorter than its length = x - 2
height = 3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
x³+x²-6x-56 = 0
using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
So, length = 4 inches
width = x - 2 = 4 -2 = 2 inches
length = x + 3 = 4 + 3 = 7 inches
volume = l x w x h = 4 x 2 x 7 = 56

3 0

2 years ago

Answer by today!!! x^2 + (2y) ÷ (2w) + 3z w = 2, x = 5, y = 8, z = 3

inysia [295]

Answer:

4.1

Step-by-step explanation:

5^2 + (2*8) / (2*2) + 3*3

25 + 16 / 4 + 6

41 / 10

4.1

3 0

2 years ago

Read 2 more answers

D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

2 years ago

What is the range of the absolute value parent function?

Damm [24]

Non negative real numbers (y20)

Answer: Option B.

Explanation:

A non negative real number is a real number that that is either positive or zero. It's the association of the normal numbers and the number zero. In some cases it is alluded to as Z*, and it tends to be characterized as the as the set {0,1,2,3,… ,}. Z, the arrangement of whole numbers, is characterized as {… ,- 3,- 2,- 1,0,1,2,3,… }.

Since zero is commonly viewed as unsigned (neither positive nor negative) at that point, truly, it ought to be remembered for a lot of non-negative genuine numbers since it 'fits' the name. On the off chance that you needed to avoid zero, you could request the positive genuine numbers or the negative genuine numbers.

5 0

3 years ago