If a numser has an even exponent can it ever be negative when it is simplified?
Explain.​

Answers

Answer 1
Note the pattern: A negative number taken to an even power gives a positive result (because the pairs of negatives cancel), and a negative number taken to an odd power gives a negative result (because, after cancelling, there will be one minus sign left over).
Answer 2

Answer: No, it can never be negative.

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Explanation:

Consider the expression x^2

If x were some negative number, say x = -3, then

x^2 = (-3)^2 = 9 which is a positive result.

Picking any negative number for x will make x^2 positive.

We can think of it like this

(-3)^2 = (-3)*(-3) = 9

The two negatives multiply to a positive.

This also happens with exponents 4,6,8, etc. Any even exponent will have an even number of negative signs, all of which cancel out.


Related Questions

What would it mean if there was an outbreak of cholera? A. The disease has infected a few people spread out over a large distance. B. The disease has spread suddenly and rapidly. C. The disease has been eradicated or erased; it no longer exists. D. The disease has been controlled and is no longer a threat to humans. Please select the best answer from the choices provided A B C D

Answers

Answer:

I think that it is B because its the only answer that makes sense

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

R/5 = 4/7 solve for r

Answers

Answer:

[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]

Step-by-step explanation:

R/5 = 4/7

Cross-multiply (numerator * opposite denominator = numerator * opposite denominator)

R(7) = 5(4)

Multiply

7R = 20

Divide both sides of the equation by 7

R = 20/7

Simplify

[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]

Hope this helps :)

Which number is larger, 2 x 10^-3 or 3 x 10^-2? Explain.

Answers

Answer:

Step-by-step explanation:

[tex]2 \times 10^{-3}=\frac{2}{10^3}=\frac{2}{1000}=0.002\\3 \times 10^{-2}=\frac{3}{10^2}=\frac{3}{100}=0.03=0.030\\0.030>0.002\\so~3 \times 10^{-2} ~is~larger~than~the~other.[/tex]

Use the image below to solve for x.

Answers

Answer:

x will equal 61 degrees

Step-by-step explanation:

The total degree of a pentagon is 540. You subtract all the angles you have (138, 144, 107, and 90) and that will get your sum.

What is the product of (negative 6) (negative 7) (negative 1)?
–42
–14
14
42

Answers

Answer:

-42

Explanation:

(-6)(-7) = 42

(42)(-1) = -42

Get a calculator homie.

Answer:its negative 42

Need Help! 10 points!

Answers

Answer:

Lenora can make 15 batches if she has 5 cups of oil.

Step-by-step explanation:

I hope this helps you :)

At 8 a.m. the temperature was 56°F. By noon a storm had arrived, and the temperature was 43°F. Which describes the change in the temperature from 8 a.m. until noon?

Answers

Answer:

13°F

Step-by-step explanation:

Given that,

Initial temperature = 56°F

Final temperature, = 56°F

We need to find the change in temperature. It is equal to the difference between final temperature and the initial temperature. So,

[tex]\Delta T=T_f-T_i\\\\\Delta T=43^{\circ}F-56^{\circ} F\\\\\Delta T = 13^{\circ} F[/tex]

So, the change in temperature is 13°F.

Answer:

13°F

Step-by-step explanation:

Simplify fraction 4/28 and 24/80

Answers

Answer:

1. 1/7

2. 3/10

Step-by-step explanation:

4/28 can be divided by 4

24/80 can be divided by 8

This week, Ivania ran a total of 20 km, which is 6.5 km farther than she ran last week. If w represents the number of kilometers she ran last week, what is the equation that models this situation?

Answers

Answer:

Step-by-step explanation:

6.5 + w = 20

13.5 km

Answer:

C first then for second one is b

Step-by-step explanation:

I just did the assignment

What is the volume of this rectangular prism?

Answers

Answer:  5/8 cm^3

Step-by-step explanation:

V = l x w x h

l = 3/4 cm

w = 1/3 cm

h = 5/2 cm

V = (3/4 cm) x (1/3 cm) x (5/2 cm) = 15/24 cm^3 = 5/8 cm^3

Write an explicit formula for the sequence.
-20.-12.-4.4
An) = -20n - 8
O A(n) = -20 - 8n
A(n) = -20 + (n - 1)8
An) = n - 8

Answers

Answer:

I need help

Step-by-step explanation:

HELP I WILL GIVE BRANLIEST What is the slope of the line in the graph?​

Answers

Answer:

the solpe is 1x or just x

Step-by-step explanation:

rise over run both are 1

Answer:

[tex]\boxed {\tt m=1}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are points on the line.

Let's pick two points from the graph : (1,2) and (4,5). Match the variables and numbers, so:

[tex]x_1=1\\y_1=2\\x_2=4 \\y_2=5[/tex]

Substitute the values into the formula.

[tex]m=\frac{5-2}{4-1}[/tex]

Solve the numerator. Subtract 2 from 5.

[tex]m=\frac{3}{4-1}[/tex]

Solve the denominator. Subtract 1 from 4.

[tex]m=\frac{3}{3}[/tex]

Divide 3 by 3.

[tex]m=1[/tex]

The slope of the line is 1.

Help me on this please

Answers

Answer:

a) 0.6

b) 0.73

c) 7/8

Step-by-step explanation:

a) 0.6 repeating

b) 0.73

c) 7/8  (0.875)

4 2/5 divided by 8.5

Answers

Answer:

0.51764705

Step-by-step explanation:

USE ESTIMATION Mr. Lycan is considering buying clay from two art supply companies. Company A sells 50-pound containers of clay for $24, plus $42 to ship the total order. Company B sells the same clay for $28, plus $25 to ship the total order.

Format
company A: y = ( ) x + ( )
Company B: y = ( ) x + ( )

Answers

Answer:

y=$24x+$42 A

y=$28x×$25 B

The required equations of Lycan buying clay from company A and company B are

A  : y = 24x + 42

B  : y = 28x + 25

What is an expression?

Expression in mathematic is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.  

Mr. Lycan is considering buying clay from two art supply companies

and here, it is given that Company A sells x= 50-pound containers of clay for $24, plus $42 to ship the total order which can be written in linear equation as :

y = 24x + 42

and Company B sells the same clay (x= 50 pound )for $28, plus $25 to ship the total order which can be written in linear equation as :

y = 28x + 25

Therefore, the required equations of Lycan buying clay from company A and company B are

A  : y = 24x + 42

B  : y = 28x + 25

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what 200 times 6 div by 30

Answers

200x6= 1200 and 1200/30=40 so the answer would be 40

Find the distance between the points L(7,-1) and MC (– 2, 4).
The exact distance between the two points is

Answers

Answer:

d= 10.30

Step-by-step explanation:

Using distance formula:

d=√(-2-7)² + (4--1)²

d=√(-9)² + (5)²

d=√81 + 25

d=√106

d≈ 10.296

Answer:

Step-by-step explanation: not right

Lane paints a square-shaped section of a
fence with an area of 75 square feet. What is
the approximate height of the section Lane
paints?
&
© 8.3 ft
• 8.1 ft &
8.6 ft
© 8.9 ft

Answers

Answer:

8.66 ft

Step-by-step explanation:

A square is a shape that has an equivalent length and breadth across it’s cross section.

What this means is that measuring the length across the top and bottom will yield the same length value.

Thus, mathematically, let’s call the measured height h

The square of this height gives the area

thus;

h^2 = 75

h = √75

h = 8.660254037844

This is approximately 8.7 to one decimal place

Convert this number expressed in standard form to scientific notation
28,500,000
1. Move the decimal to create the coefficient: 2.8500000
2. Write in scientific notation:
2.85 x 100
What is the value of x in the scientific notation?

Answers

Answer:

28,500,000 into scientific notation is 2.85 x 10⁷

2.85 x 100 in scientific notation is 2.85 x 10²

if you mean the multiplication symbol, it just means to multiply. otherwise, there i don't see an x anywhere else

Please help me simplify the following expression

Answers

Answer:

= x^3y /2

Step-by-step explanation:

If you need an explanation, I can't give you one sorry. It's one of those things i can do but not the best at explaining lol

The answer to simplify the following expression is x^3y/2

1. Ilove ordering cookies from Tiff's Treats (not
sponsored, although I wouldn't object!). If Tiff's
Treats charges a delivery fee of $1 and costs $8.50
per half-dozen, which equation relates my cost, c,
and the number of half-dozens, h, I ordered?
a) C = 9.500h
b) C = 8.50h + 1
c) c = h + 8.50
d) h = 9.50c
e) None of these

Answers

c = cost

h = # of half-dozens ordered

c = $8.50h + $1  is the correct answer.

L varies directly with the square of Z. L is 12 when Z is 2. Find the value of L when Z is 4.

Answers

Answer:

L = 48

Step-by-step explanation:

Given that L varies directly with Z² , then the equation relating them is

L = kZ² ← k is the constant of variation

To find k use the condition L = 12 when Z = 2 , then

12 = k × 2² = 4k ( divide both sides by 4 )

3 = k

L = 3Z² ← equation of variation

When Z = 4 , then

L = 3 × 4² = 3 × 16 = 48

Convert 55 ounces to pounds ?

Answers

55oz converted into pounds is 3.4375 lbs.

Answer:

3.4375 lbs.

Yeah, not being the process... Sorry!

Karen owns a seafood restaurant. She orders trout from an online retailer.
Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order. However, if Karen orders 10 or more pounds, the trout
costs only $24 per pound, but the shipping fee is $6.
Which piecewise function models the cost of x pounds of trout?
A. f(x) =
30x + 2, 0 < x < 10
24x + 6, 2 > 10
O B. f(2)=
24x + 6, 0 << < 10
30% +2, 2 > 10
O c. f() =
{
30x + 2, 0 << < 10
24x + 6, 3 > 10
D. f(x) =
24x + 6, 0 < x < 10
30x + 2, 3 > 10
< PREVIOUS

Answers

Answer: 30x+2, 0<x<10

24x+6, x>10

Step-by-step explanation:

Make sure the x>6 has the line under the >. It would not let me enter it like that.

The piecewise function that models the cost of x pounds of trout is:  [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex],

What is piecewise function?

"It is a function that is defined on a sequence of intervals."

For given question,

'x' represents number of pound of trout.

Each pound of trout costs $30, and the company charges a $2 fee for

shipping the order.

We write this in equation form as,

f(x) = 30x + 2

This is possible if Karen orders less than 10 pounds.

So, the function would be,

f(x) = 30x + 2, 0 < x < 10

If  Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6.

This means, the function would be,

f(x) = 24x + 6, x > 10

Hence, the piecewise function that models the cost of x pounds of trout is:  [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex]

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what is f(2) = 2x -6

Answers

Answer:

f(2) = -2

Step-by-step explanation:

f(2) = 2x - 6

f(2) = 2(2) - 6

f(2) = 4 - 6

f(2) = -2

The variable y varies directly with the variable x.
y
2
3
10
15
If the value of x is 14, what is the value of y?

Answers

if the value of X is 14 then the value of y is 21

What is the system of solutions?

Answers

it means that the 2 equations are actually the same line. So, the system has a solution set of all the possible points on that line.

Determine if 0.737337333733337333337... is rational or irrational.

Answers

Answer:

The number 0.737337333733337333337...0.737337333733337333337... is irrational because it is a decimal that does not repeat or terminate

Step-by-step explanation:

it is not repeating or terminating which means it is irrational

The given number 0.737337333733337333337... non-repeating and non-terminating so it will be an irrational number.

What is an irrational number?

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

In another word, irrational numbers are those numbers that can not terminate.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

Given the decimal 0.737337333733337333337... it not repeating and nonterminating so we cannot convert it into the fraction p/q such that p and q both remain integers.

Hence "The given number 0.737337333733337333337... non-repeating and non-terminating so it will be an irrational number".

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What is the distance between points (5,0) and (2, 1) to the nearest tenth?
Help !

Answers

Answer:

5

Step-by-step explanation:

Help please solve by factoring

Answers

Answer:

x = −1/6,−3

Step-by-step explanation:

Hope this helps

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