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2 years ago

Which statement about 3 multiplied by 2/3 must be true?

Mathematics

1 answer:

Alla [95]2 years ago

5 0

Step-by-step explanation:

The statement is 3 multiplied by 2/3. Here, the first no of 3 and the other one is 2/3.

It can be written as follows :

$3\times \dfrac{2}{3}$

3 is present at the numerator as well as the denominator. It will cancel out.

So,

So, 3 multiplied by 2/3 equals 2.

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joja [24]

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Step-by-step explanation:

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2 years ago

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Given the functions, fx) = x - 8 and g(x) = x2 + x - 1, perform the indicated operation. When applicable, state the domain

adell [148]

Answer:

Step-by-step explanation:

(fg)(x) = f(x) × g(x)

= (x - 8)(x² + x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x - 1) - 8(x² + x - 1) ← distribute both parenthesis

= x³ + x² - x - 8x² - 8x + 8 ← collect like terms

= x³ - 7x² - 9x + 8 → A

There are no restrictions on the domain.

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3 years ago

I want a way to solve this question

AURORKA [14]

Answer:

Step-by-step explanation:

Using the Cosine rule to find ∠ A

cosA = $\frac{b^2+c^2-a^2}{2bc}$

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= $\frac{26.01+32.49-53.29}{58.14}$

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∠ A = $cos^{-1}$ ( $\frac{5.21}{58.14}$ ) ≈ 84.9° ( to 1 dec. place )

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2 years ago

What is the circumference of a circle<br> with a diameter of 4?<br> Type in your response.

Marta_Voda [28]

Answer:

12.57

Step-by-step explanation:

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The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re

Elan Coil [88]

Answer:

width: 18 in
length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

W +9 = L

LW = 486

Substituting gives ...

(W+9)W = 486

W^2 +9W -486 = 0 . . . put in standard form

(W +27)(W -18) = 0 . . . . factor

W = 18 . . . . the positive solution

The width of the rectangle is 18 inches; the length is 27 inches.

_____

<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.

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3 years ago