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3 years ago

Solve the following one-step equations using inverse operations.

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

7 0

1.) 7

2.) 27

3.) -9

5.)

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The answer is D.32.000

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3 years ago

What is the equation of the line that passes through the points -1, 3/2 and 1/2, 1/2

masha68 [24]

Answer:A

Step-by-step explanation:

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3 years ago

The first term of a geometric sequence is 10,000 and the common ratio is 0.4. What

Misha Larkins [42]

$a = 10000$

$r = 0.4 = 4/10 = 2/5$

$a_9 = ar^8 = 10000 × 2^8/5^8$

$a_9 = 10000 × 256/(25 × 25 × 25 × 25)$

$a_9 = 6.5536$

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3 years ago

What is the numerator of the simplified sum?

sashaice [31]

Answer:

4x + 6

Step-by-step explanation:

$\frac{x}{x² + 3x + 2} + \frac{3}{x + 1}$

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

$\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}$

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

$\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}$

$\frac{x + 3(x + 2)}{(x + 1)(x + 2)}$

$\frac{x + 3x + 6)}{(x + 1)(x + 2)}$

$\frac{4x + 6)}{(x + 1)(x + 2)}$

Therefore, the numerator of the simplified form sum of both fractions = 4x + 6

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3 years ago

Find the 8th term of the geometric sequence 5, -15, 45

FrozenT [24]

Answer:

a₈ = - 10935

Step-by-step explanation:

the nth term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = $\frac{a_{2} }{a_{1} }$ = $\frac{-15}{5}$ = - 3 , then

a₈ = 5 × $(-3)^{7}$ = 5 × - 2187 = - 10935

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2 years ago