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Debora [2.8K]
2 years ago
14

The question is in the picture ​

Mathematics
2 answers:
Nesterboy [21]2 years ago
7 0

Answer:

  1. 5^2 = 25
  2. 5^{-2} = \frac{1}{25}
  3. (-5)^{2} = 25
  4. -5^{2}  =-25
sergiy2304 [10]2 years ago
5 0

Solution:

<u>We know the following rules:</u>

  • Rule: If an exponent is negative, it will be in the fraction 1/nˣ.
  • Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.
  • Rule: if a number's exponent is 0, then the number is 1.

<u>Now, let's solve each problem.</u>

  • 5² = 5 x 5 = 25
  • 5⁻² = 1²/5² = 1/25
  • (-5)² = (-5) x (-5) = 25
  • -5² = -(5²) = -(25) = -25

Learn more about exponents: <u>brainly.com/question/26553706</u>

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Aloiza [94]
The answer should be b
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3 years ago
Solve for X<br> -3(x - 2) = 4(x + 1)
lesya [120]

Answer:

The answer for this is.. x= 5/3 the decimal is x=1.66666..

Step-by-step explanation:

Expand -3(x-2) : -3x+6

x-3x+6=4(x-1)

Add similar elements: x-3x= -2x

-2x+6=4(x-1)

Expand 4(x-1): 4x-4

-2x+6= 4x-4

Subtract 6 from both sides

-2x+6-6= 4x-4-6

Simplify

-2x-4x-10

Subtract 4x from both sides

-2x-4x=4x-10-4x

Simplify

-6x=-10

-6x/-6 = -10/-6

so the answer is x-5/3

3 0
3 years ago
Express the terms of the following sequence by giving a recursive formula.
MAXImum [283]

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Step-by-step explanation:

First of all, we have to determine if the given sequence  is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7

Hence,

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10341324
  • brainly.com/question/10081622

#LearnwithBrainly

6 0
3 years ago
A cookie recipe calls for 3 cups of sugar and yields 24 cookies how much sugar will be needed to make 3 dozen cookies
Sindrei [870]

Answer:4.5 cups of sugar

Step-by-step explanation:

Okay so 24 cookies is 2 dozen

1 cup of sugar would be used for every 8 cookies

3 dozen is equal to 36 cookies

36/8=4.5 so you would need 4.5 cups of sugar

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Y = -6x

slope intercept form is y=mx+b, I’m sure you just plug in the numbers
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