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2 years ago

Put the following equation of a line into slope-intercept form, simplifying all

Mathematics

1 answer:

dmitriy555 [2]2 years ago

3 0

Answer:

Brainliest!

Step-by-step explanation:

slope intercept form is in: y = mx + b

12y = -8x + 48

y = (-8x+48)/12

y = -2/3x+4

You might be interested in

What is the solution to -6(3a+4)=3a-3

stich3 [128]

Answer:

a = -1

Step-by-step explanation:

-6(3a+4) = 3a-3

-18a-24 = 3a-3

-24+3 = 3a+18a

21a = -21

a = -21 ÷ 21

a = -1

6 0

2 years ago

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

What is the width of the rectangle shown below? <br>4x + 3 <br>A = 8x2 – 10x – 12

ozzi

Answer:

Step-by-step explanation:

Area of a rectangle = Length * Width

Given parameters

Area A = 8x2 – 10x – 12

Length of the rectangle = 4x+3

Required

Width of the rectangle.

Substituting the given parameters into the formula

8x2 – 10x – 12 = (4x+3)*width

width = 8x2 – 10x – 12 /4x+3

Factorizing the numerator

8x² – 10x – 12

= 2(4x²-5x-6)

= 2(4x²-8x+3x-6)

= 2(4x(x-2)+3(x-2))

= 2(4x+3)(x-2)

Width = 2(4x+3)(x-2)/4x+3

Width = 2(x-2)

Width = 2x-4

<em>Hence the width of the rectangle is 2x-4</em>

8 0

2 years ago

Can somebody help me ?

goldfiish [28.3K]

Answer:

Step-by-step explanation:

Basically find the slope first.

(6,1)(9,5)

5-1/9-6

m=4/3

y=mx+b

1=4/3(6)+b

b=-7

y=4/3x-7

4 0

2 years ago

Which of the following represents the set of integers greater than or equal to -5?

Ann [662]

8 0

3 years ago

Read 2 more answers