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3 years ago

Solve the equation. Solve the equation. −4(2z+6)−12=4

Mathematics

2 answers:

Lina20 [59]3 years ago

8 0

$- 4(2z + 6) - 12 = 4 \\ - 4(2z + 6) - 12 + 12 = 4 + 12 \\ - 4(2z + 6) = 16 \\ \frac{- 4(2z + 6)}{ - 4} = \frac{16}{ - 4} \\ 2z + 6 = - 4 \\ 2z + 6 - 6 = - 4 - 6 \\ 2z = - 10 \\ \frac{2z}{2} = \frac{ - 10}{2} \\ z = - 5$

lilavasa [31]3 years ago

6 0

Answer:

Step-by-step explanation:

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When changed to standard form, how many zeros will be after the seven?

madreJ [45]

Answer:

Step-by-step explanation:

because the decimal is moved 39 times as shown by calculating the sum

4 0

3 years ago

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What is the value of each expression in simplest form? 9/1 divided by 3/5

Ivanshal [37]

9/1 is simply 9
9 divided by 3/5 = 15

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4 years ago

Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?

Dimas [21]

Option C: –10, –7.5, –5, –2.5, … is the sequence.

Explanation:

The given recursive formula is $f(n+1)=f(n)+2.5$ for $n\geq 1$

We need to determine the sequence.

The sequence can be determined by substituting n = 1, 2, 3, 4,....

And $f(1)=-10$

2nd term of the sequence:

Substituting n = 1 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(1+1)=f(1)+2.5$

Simplifying, we have,

$f(2)=-10+2.5=-7.5$

Thus, the 2nd term of the sequence is -7.5

3rd term of the sequence:

Substituting n = 2 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(2+1)=f(2)+2.5$

Simplifying, we have,

$f(3)=-7.5+2.5=-5$

Thus, the 3rd term of the sequence is -5

4th term of the sequence:

Substituting n = 3 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(3+1)=f(3)+2.5$

Simplifying, we have,

$f(4)=-5+2.5=-2.5$

Thus, the 4th term of the sequence is -2.5

Therefore, the sequence is –10, –7.5, –5, –2.5, …

Hence, Option C is the correct answer.

3 0

3 years ago

Read 2 more answers

Helpp

Georgia [21]

Answer:

see explanation

Step-by-step explanation:

The average rate of change over the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

here [ a, b ] = [ 0, 8 ]

f(b) = f(8) = $\frac{16-2}{40-6}$ = $\frac{14}{34}$ = $\frac{7}{17}$

f(a) = f(0) = $\frac{-2}{-6}$ = $\frac{1}{3}$

f(b) - f(a) = $\frac{7}{17}$ - $\frac{1}{3}$ = $\frac{4}{51}$

average rate of change = $\frac{\frac{4}{51} }{8}$ = $\frac{1}{102}$

7 0

3 years ago

127 pounds to kilograms?

shusha [124]

For this case we must make a conversion from pounds to kilograms.

By definition we have to:

1 kg equals 2.20462 pounds. Making a rule of three we have:

2.20462 pounds ---------------> 1 kg

127 pounds -----------------------> x

Where "x" represents the amount of kg.

$x = \frac {127 * 1} {2.20462} = 57.6062$

Thus, 127 pounds represent 57.61 kilograms.

Answer:

57.61 kilograms.

8 0

3 years ago

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