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3 years ago

Solve for 3x2 + 15x = 12

Mathematics

1 answer:

PIT_PIT [208]3 years ago

6 0

Step-by-step explanation:

3x2 pls is this multiplication sign or it is (x)

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Raymond would like to go to rebounders trampoline center. The total cost , c, for every hour spent boucing, h, is representing b

aksik [14]

Answer:

$33

Step-by-step explanation:

C = 6(3) + 15

C = 18 + 15

C = 33

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4 years ago

What is 470,925.8 in expanded form

ICE Princess25 [194]

470,925.8 in expanded form is ...

400,000 + 70,000 + 900 + 20 + 5 + 0.8

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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

A circle has a radius of 6 cm. How can I find the diameter of the same circle?

Sedbober [7]

Multiply 6 by 2 and add 6cm. the radius is half of the diameter so just multiply by two and add the number.

6 0

3 years ago

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches find the

marissa [1.9K]

Answer:

The shortest side of the triangle is 3 inches.

Step-by-step explanation:

Given:

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.

The perimeter = 13.5 inches.

Now, to find the shortest side.

Let the one side be $\frac{1}{6}x$

And the second side be $\frac{1}{3}x$ .

And the third side be $\frac{1}{4}x$ .

According to question:

$\frac{1}{6}x+\frac{1}{3}x+\frac{1}{4}x=13.5$

⇒ $\frac{x}{6}+\frac{x}{3}+\frac{x}{4}=13.5$

Adding all the variables by taking common denominator we get:

⇒ $\frac{9x}{12}=13.5$

Multiplying both sides by 12 we get:

⇒ $9x=162$

Dividing both sides by 9 we get:

⇒ $x=18$

Thus, the sides of the triangle are:

1/6×18=3 inches.

1/3×18=6 inches.

1/4×18=9/2=4.5 inches.

Therefore, the shortest side of the triangle is 3 inches.

4 0

3 years ago