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liraira [26]
3 years ago
12

What is the value of expression?

Mathematics
2 answers:
Andrei [34K]3 years ago
5 0
Use:a^n\cdot a^m=a^{n+m}\\\\5^{-8}\cdot5^{-4}=5^{-8+(-4)}=5^{-12}\\\\Answer:\boxed{D}
AURORKA [14]3 years ago
3 0
5 ^ ( - 8 - 4 ) = 5 ^ ( - 12 ) D.
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Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
Inessa05 [86]

Answer:

The solution of the equations are -6 and 1

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- We want to find the solution of the equation (x + 2) (x + 3) = 12

- <em>At first lets use the Foil method to multiply the two brackets</em>

 (x + 2) (x + 3) = (x)(x) + (x)(3) + (2)(x) + (2)(3)

 (x + 2) (x + 3) = x² + 3x + 2x + 6 ⇒ add the like term

 (x + 2) (x + 3) = x² + 5x + 6

∵ (x + 2) (x + 3) = 12

∴ x² + 5x + 6 = 12

- Subtract 12 from both sides

∴ x² + 5x - 6 = 0

- <em>Factorize the left hand side</em>

∵ x² = (x)(x)

∵ -6 = 6 × -1

∵ 6x + -1x = 5x

∴ (x + 6)(x - 1) = 0

- <em>Lets use the zero product property </em>

∵ (x + 6)(x - 1) = 0

∴ x + 6 = 0 ⇒ <em>OR</em> ⇒ x - 1 = 0

∵ x + 6 = 0

- Subtract 6 from both sides

∴ x = -6

∵ x - 1 = 0

- Add 1 to both sides

∴ x = 1

∴ The solution of the equations are -6 and 1

6 0
2 years ago
Read 2 more answers
(1×10,000)+(3×100)+(5×10)+(9× 1/10 )+(8× 1/100 ​ ) as a decimal number.
Fed [463]

Answer:

10350.98

Step-by-step explanation:

6 0
3 years ago
I ONLY HAVE 10 POINTS SRY. PLS ANSWER RESPECTFULLY AND CORRECTLY FOR BRANLIEST. THX THX THX THX
Solnce55 [7]

Answer:

06.07 Equivalent Expressions

by Dominique

The ending of Sarah 's story

By the end of the day Sarah had found 4 shark teeth . John had found 2 shark teeth , together they had 6 shark teeth. When Sarah and John showed her neighbor the teeth he or she paid Sarah $30 dollars. Sarah and John had split the money so John would have $15 dollars and Sarah would have $15 dollars.

i already did this exact answer with someone else so i just copied my answer from that and placed it on this on

Step-by-step explanation:

Substitution: Two

Use substitution to prove that your two expressions are equivalent.

7(9j+ 6j + 2)

63j + 14 + 42j

63 x 1 + 42 x 1 + 14

63 x 1= 63

42 x 1=42

42 + 63 + 14

42 + 63 = 105

105 + 14 = 119

Part 2: Writing Expressions

Substitution : One

2. Translate the algebraic expression you created in Question 1 to a verbal expression

The product of seven and the sum of the product of nine and some number, two, and the product of six and some number.

Use substitution to prove that your two expressions are equivalent.

7(9j+ 6j + 2)

7( 9 x 1 + 6 x 1+ 2 )

9 x 1= 9

6 x 1= 6

7 ( 9 + 6 + 2 )

9 + 6 = 15

15 + 2 += 17

7 x 17 = 119

Part 1: Writing Expressions

1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

My expression is 7(9j+ 2 + 6j) .

Writing Equivalent Expressions

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.

You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.

7(9j+ 2 + 6j) = 7(9j+ 6j + 2) = The Commutative Property of Addition.

7(9j+ 2 + 6j) = 63j + 14 + 42j = The Distributive Property

The beginning of Sarah 's story

3 0
3 years ago
Read 2 more answers
The freezing point of water is 0 C. Scientists use positive numbers to show temperatures above the freezing point water and nega
inn [45]

Answer:

The -18°C temperature as the freezing point of maple syrup means that the temperature at which maple syrup changes from liquid to solid (that is, freezes) is 18° below the freezing point of water.

Step-by-step explanation:

It is explained that the freezing point of water is used as the standard or reference point to calibrate the Celsius scale.

The scientists use 0°C to represent the freezing point of water and subsequently use positive numbers to indicate temperatures above the freezing point of water and negative numbers to indicate temperatures lower than the freezing point of water.

So, a temperature/freezing point of -18°C simply means that the temperature/freezing point is 18° lower than the freezing point of water.

Hope this Helps!!!

8 0
3 years ago
A box of pencils costs $3.25 and a box of colored pencils costs $4.65. However, a box of pencils and a box of colored pencils ar
ale4655 [162]

Answer:

the least is 40

Step-by-step explanation:

if u multiply each money amount times the amount they bought you get the awnser

3 0
3 years ago
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