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PilotLPTM [1.2K]
3 years ago
9

Choose a positive number. Using this number as the base, evaluate it when the exponent is 3, 0, and -2. Show all work.

Mathematics
2 answers:
serious [3.7K]3 years ago
6 0
Step by step explaination:
Positive number = 5
When Exponent is 3, it equals: 125
When exponent is 0, it equals: 1
When exponent is -2, it equals: 1/25 or .04
Nutka1998 [239]3 years ago
5 0

Answer:

1= 8

2= 1

3= ¼

Step-by-step explanation:

Let me choose 2. 2 becomes my base.

When the exponent is 3

1. 2³ = 2 * 2 * 2

= 8

When the exponent is 0

2. 2^0.

From the laws of indices. Exponent zero to any number = 1.

Therefore, 2^0 = 1

When the exponent is = -2

3. 2 `² = ¹/2 * 2

= ¼

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3-4/5X-2/3–3/15+3/5divided by -3/2
deff fn [24]

Answer:

-2(6x-13)/15

Step-by-step explanation:

This is done by simplifying the expression as well as combining like terms

4 0
3 years ago
starting at home, Omar traveled uphill to the gift store for 30 minutes at just 10mph. He then travelled back home along the sam
SashulF [63]

Answer:

average speed for the entire trip is 15 mph

Step-by-step explanation:

Let x be the uphill speed and y be the downhill speed.

We have been given that

Speed of Omar in uphill to reach gift store = x =10 mph

Speed of Omar in downhill to reach his home = y = 30 mph

We know the formula for average speed for the entire trip

\text{Average speed }=\frac{2xy}{x+y}\\\\=\frac{2\times 10\times 30}{10+30}\\\\=\frac{600}{40}\\\\=15

Therefore, average speed is 15 mph


6 0
3 years ago
Read 2 more answers
To solve X/0.4 = 10, you would: Add 0.4 Subtract 0.4 Multiply 0.4 Divide by 0.4
Mrac [35]
Multiply by 0.4 on both sides to cancel the original 0.4 and change the 10
8 0
3 years ago
Solve using substitution<br><br> y=1/2x<br> x+4y=18
Aleks [24]

Answer:

The solution set is (6,3)

Step-by-step explanation:

Begin by multiplying equation 1 by 2. You'll see why in a moment

2y = 2*(1/2) x

2y = x

Substitute this value into equation 2.

2y + 4y = 18                  Combine like terms on the left

6y = 18                          Divide both sides by 6

6y/6 = 18/6                    Do the division

y = 3

To solve for x just use the top equation

y = 1/2x

3 = 1/2x                          Multiply by 2

3*2 = x

x = 6


7 0
3 years ago
The coordinates of the vertices of a triangle are 2,3 5,1 and 6,4 after one reflection the coordinates of the vertices of the tr
VikaD [51]

Answer:

it is being reflected by the x axis

6 0
3 years ago
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