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Rom4ik [11]
3 years ago
5

Write each expression in a simpler form that is equivalent to the given expression. Let g be a nonzero number. 1/g^1 or 1/g-1

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
6 0

Answer:

\boxed{\mathrm{view \: explanation}}

Step-by-step explanation:

Apply rule : a^1 =a

\displaystyle \frac{1}{g^1 } =\frac{1}{g}

\displaystyle \frac{1}{g^{-1}}

Apply rule : \displaystyle a^{-b}=\frac{1}{a^b}

\displaystyle \frac{1}{\frac{1}{g^1 } }

Apply rule : \displaystyle \frac{1}{\frac{1}{a} } =a

\displaystyle \frac{1}{\frac{1}{g^1 } }=g

NeX [460]3 years ago
3 0

Answer:

\frac{1}{g^1}

= \frac{1}{g}

\frac{1}{g - 1}

= \frac{g^1}{1}

= \frac{g}{1}

= g

Hope this helps!

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Does each equation represent exponential decay or exponential growth?
lisov135 [29]

Answer:

1. H = 5.9(0.82)^{t}. Exponential decay function.

2. y = 0.8(3.6)^{t}. Exponential growth function.

3. f(t) = 0.72(15)^{t}. Exponential growth function.

4. A = \frac{4}{9} (8)^{t}. Exponential growth function.

5. A = (\frac{4}{3})^{t}. Exponential growth function.

6.  H = \frac{7}{2} (\frac{5}{6} )^{t}. Exponential decay function.

7. g(x) = 0.3(x). Not an exponential function.

Step-by-step explanation:

1. H = 5.9(0.82)^{t}. This is an exponential decay function.

As the value of t increases H-value decreases.

2. y = 0.8(3.6)^{t}. This is an exponential function of growth.

As the value of t increases y-value also increases.

3. f(t) = 0.72(15)^{t}. This is an another example of exponential growth function.

As the value of t increases f(t)-value also increases.

4. A = \frac{4}{9} (8)^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

5. A = (\frac{4}{3})^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

6. H = \frac{7}{2} (\frac{5}{6} )^{t}. This is another an example of exponential decay function.

As the value of t increases, H-value decreases.

7. g(x) = 0.3(x). This is a non-exponential function. (Answer)

4 0
4 years ago
Which statement must be true according to the box plot? The data is symmetric, and the lowest number of crackers in a package wa
lukranit [14]

Answer:

C

Step-by-step explanation:

The data is skewed, and the lowest number of crackers in a package was 7

4 0
4 years ago
Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs
BabaBlast [244]

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs  3x - 7 pounds

∵ Joanna's bag weighs  2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as  Seth's bag

- That means add Randall's bag and Joanna's bag and equate

    the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

∴ (3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

∴ x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

∴ Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

∴ Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs  = 2(25) + 2 = 50 + 2

∴ Joanna's bag weighs  = 52 pounds

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to (3x² + 4x - 7)(x - 2)? (Apex)
katovenus [111]

Answer:

A i think

Step-by-step explanation:

3 0
3 years ago
Given that lines m and n are parallel and that line t is a transversal, the
Naily [24]

Answer:

60

Step-by-step explanation:

if the opposite of <1 is 120 and the line it is sitting on is flat, we can figure out that both connected would be 180

the equation would be 180-120=60

hope this helped

3 0
3 years ago
Read 2 more answers
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