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3 years ago

13

Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or (an expression) that h

ave the following solution sets:
Two Solutions: x=2, x=14

1 answer:

ivann1987 [24]3 years ago

7 0

Answer:

|x − 8| = 6

Step-by-step explanation:

|x − b| = c

1. x - b = c ⇒ x = b + c
2. x - b = -c ⇒ x = b - c

<u>We have solution:</u>

b + c = 14
b - c = 2

<u>Add up these two equations:</u>

2b = 16
b = 8

<u>Find c:</u>

c = 8 - 2 = 6

<u>The original equation is:</u>

|x − 8| = 6

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6 less than r ?????????????

ollegr [7]

Answer: 6-R

Step-by-step explanation:

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3 years ago

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Find the seventh term of the expansion of (3x+7y)^11

Ber [7]

13,207,982,634 x⁵y⁶

Step-by-step explanation:

We understand that in Binomial Theorem, expounding of polynomial functions, we have a rule that also involves the use of Pascal's Triangle to find the Coefficients that will be used to multiply each variable as the polynomial function is multiplied by itself several times;

(3x + 7y)^11 = ₁₁C₀ (3x)¹¹(7y)⁰ + ₁₁C₁ (3x)¹⁰(7y)¹ + ₁₁C₂ (3x)⁹(7y)² + ₁₁C₃ (3x)⁸(7y)³ + ₁₁C₄ (3x)⁷(7y)⁴ + ₁₁C₅ (3x)⁶(7y)⁵ + ₁₁C₆ (3x)⁵(7y)⁶....

The 7th term in our case is;

₁₁C₆ (3x)⁵(7y)⁶

According to the attached Pascals Triangle, the coefficient for our term should be 462, so;

462 (3x)⁵(7y)⁶

= 462 (243x⁵) (117,649y⁶)

= 13,207,982,634 x⁵y⁶

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3 years ago

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Find the volume of rectangular box of length 4x, breath 6y power 2,height 2xy

Tanya [424]

Answer:

687

Step-by-step explanation:

8 0

4 years ago

kramer

Answer:

The possible numbers that Kelley might have scored are:

1, 2, 3, 4, 5, 6, 7 and 8

Step-by-step explanation:

Please kindly see the attached file for more explanation

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3 years ago

What are reasons A,B,and C in the proof?

Vlad [161]

Answer:

Option D is correct.

Explanation:

Commutative Property of Multiplication define that two numbers can be multiplied in any order.

i.e $a\times b =b \times a$

Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

$a \times (b+c) = a\times b+ a\times c$

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.

Given:

A = $( 4\times 3) + (2 \times 4 )= ( 4\times 3) + (4 \times 2 )$

B = $4 \times ( 3+2)$

C = $4 \times 5$

then;

$( 4\times 3) + (2 \times 4 )$

Using Commutative property of Multiplication we can write $2 \times 4 = 4 \times 2$ then we have;

$( 4\times 3) + (2 \times 4 ) = ( 4\times 3) + (4 \times 2 )$

Using Distributive property of multiplication;

$( 4\times 3) + (4 \times 2 ) = 4 \times ( 3+2)$

by using associative property of multiplication ,

$4 \times (3+2) = 4 \times 5$

Therefore, the reasons for A , B and C in this proof are;

A.commutative property of multiplication

B. distributive property

C. associative property of multiplication

6 0

4 years ago