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3 years ago

Simplify (−4k4+14+3k2)+(−3k4−14k2−8). Write answer in standard form.

Mathematics

1 answer:

marissa [1.9K]3 years ago

8 0

Answer:

−7k^4−11k^2+6

Step-by-step explanation:

−4k^4+14+3k^2−3k^4−14k^2−8

(−4k^4+−3k^4)+(3k^2+−14k^2)+(14+−8)

−7k^4−11k^2+6

...

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The original price of a computer was reduced by 225 dollars. The new, discounted price is 1274 dollars. Use p as your variable n

meriva

Answer:

1499 dollars

Step-by-step explanation:

Original price: p

p - 225 = 1274

add 225 to both sides

p = 1499

6 0

4 years ago

Graph the equations to solve the system

wlad13 [49]

Answer:

This system has one solution (-1,1)

Step-by-step explanation:

The attached picture shows the solutions for the system

If we equalize the eq. obtain the following

-x=2x+3

From we obtain that x= -1

Using the first equation y=-x, we obtain that y=1

so (-1,1)

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4 years ago

Nina babysits on weekends for extra money. The function f(t) is equal to how much money she earns after babysitting t hours. On

Darina [25.2K]

Answer:

Step-by-step explanation:

t is replaced by 4 and t = hours

6 0

3 years ago

Read 2 more answers

If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?

enyata [817]

Step-by-step explanation:

$\bf➤ \underline{Given-} \\$

$\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\$

$\bf➤ \underline{To\: find-} \\$

$\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\$

$\bf ➤\underline{Solution-} \\$

Let us assume that:

$\rm: \longmapsto u = {x}^{2013}$

Therefore, the equation becomes:

$\rm: \longmapsto u + \dfrac{1}{u} = 2$

$\rm: \longmapsto \dfrac{ {u}^{2} + 1}{u} = 2$

$\rm: \longmapsto{u}^{2} + 1 = 2u$

$\rm: \longmapsto{u}^{2} - 2u + 1 =0$

$\rm: \longmapsto {(u - 1)}^{2} =0$

$\rm: \longmapsto u = 1$

Now substitute the value of u. We get:

$\rm: \longmapsto {x}^{2013} = 1$

$\rm: \longmapsto x = 1$

Therefore:

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 1 + 1$

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 2$

★ Which is our required answer.

$\textsf{\large{\underline{More To Know}:}}$

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

6 0

3 years ago

Regina takes yoga classes 2 days a week at the community center the cost for the classes is $72 and Regina pays extra$12 to rent

Kamila [148]

Answer:

gfh

Step-by-step explanation:

dhgdh

4 0

3 years ago