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2 years ago

Find slope and intercept of the line 3x - 2y - 7 = 0

Mathematics

1 answer:

OLga [1]2 years ago

4 0

The slope and intercept of the line 3x - 2y - 7 = 0 are -1.5 and -3.5 respectively

<h3>How to determine the slope and the intercept?</h3>

The equation of the line is given as:

3x- 2y - 7 = 0

Add 7 to both sides

3x - 2y = 7

Subtract 3x from both sides

-2y = -3x + 7

Divide both sides by -2

y = -1.5x -3.5

A linear equation is represented as:

y = mx + c

Where m represents slope and c represents the intercept

By comparison;

m = -1.5 and c = -3.5

Hence, the slope and intercept of the line 3x - 2y - 7 = 0 are -1.5 and -3.5 respectively

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A box of 25 munchkins cost $5.46 what is the unit rate per munchkin

timurjin [86]

The unit rate per munchkin is $0.22.

<h3>What is Division?</h3>

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The cost of 25 munchkins cost $5.46, therefore, the unit rate of each munchkin can be written as,

$\text{Cost of unit munchkin} = \dfrac{\text{Total cost of munchkins}}{\text{Number of munchkins}}\\\\\text{Cost of unit munchkin} = \dfrac{\$5.46}{25}=\$0.2184 \approx \$0.22$

Hence, the unit rate per munchkin is $0.22.

Learn more about Division:

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2 years ago

If a1 = 9 and and an-1 - 5 then find the value of a6.

SCORPION-xisa [38]

Answer:

a1 = 6 and an = an-1 - 5

a2 = a2-1 - 5 = a1 - 5 = 1

a3 = a3-1 - 5 = a2 - 5 = -4, etc

Step-by-step explanation:

8 0

3 years ago

I need help ASAP !! i’ll mark brainliest !

Andrej [43]

Answer:

192

Step-by-step explanation:

Multiply 3/4 by 256

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3 years ago

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What is 8/36 minus 3/14?<br><br> Subtracting unlike fractions

alina1380 [7]

I have a photo that shows how I got the answer and what the answer is (Key: Red represents my work, while highlighter shows what the answer is):

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4 years ago

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The logarithmic expression ln(√e/y^3) can be rewritten as

kvv77 [185]

Answer:

$\dfrac{1 - 6 \ln y}{2}$

Step-by-step explanation:

$\ln \dfrac{\sqrt{e}}{y^3} =$

$= \ln \dfrac{e^\frac{1}{2}}{y^3}$

$= \ln e^\frac{1}{2} - \ln y^3$

$= \dfrac{1}{2} \ln e - 3 \ln y$

$= \dfrac{1}{2} - 3 \ln y$

$= \dfrac{1 - 6 \ln y}{2}$

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3 years ago