All categories

2 years ago

Write the following inequality in slope-intercept form. –12x – 2y ≥ –42

Mathematics

2 answers:

ankoles [38]2 years ago

5 0

Answer:

the 5 star is wrong if your doing grad point the awnser is (y is less than or equal to -6x + 21

Step-by-step explanation:

Katyanochek1 [597]2 years ago

3 0

Answer:

y ≤ −6x−21

Step-by-step explanation:

-12x – 2y ≥ –42

– 2y ≥ 12x –42

-2(– 2y ≥ 12x –42)

y ≤ −6x−21

really need brainliest!

You might be interested in

In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint, 2 cups of green paint, and 1/2 gal

ella [17]

Answer:

Step-by-step explanation:

In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint. Converting 1.5 quarts to cup,

1 quart = 4 cups

1.5 quarts = 1.5 × 4 = 6 cups

She also used 1/2 gallon of white paint. Converting 0.5 gallons to cup,

0.0625 gallons = 1 cup

0.5 gallons = 0.5/0.0625 = 8 cups

This means that the ratio of cups of blue paint to green paint to white paint is 6: 2 :8

Total ratio = 6 +2 + 8 = 16

To make 100 cups of this shade of green,

Cups of blue paint needed = 6/16 × 100 = 37.5 cups

Cups of green paint needed = 2/16 × 100 = 12.5 cups

Cups of white paint needed = 8/16 × 100 = 50 cups

7 0

2 years ago

The speed of the current is 7 mph. The boat travels three times slower against the current than with the current. What is the sp

svlad2 [7]

Let
x--------> the speed of the boat in mph

we know that
going upstream the speed is x-7
going downstream the speed is x+7

let the distance be d
time to go upstream = d/(x-7) 
time to go downstream = d/(x+7)

time going upstream is 3 times going downstream
so
3d/(x+7) = d/(x-7) 
divide by d 
3/(x+7) = 1/(x-7) 
3x-21 = x+7 
2x = 28 
x = 14

the answer is
the speed of the boat in still water is 14 mph

7 0

2 years ago

How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations? a . 5y − 5x = −10. 3y − 3x = 24 b. 5y − 5x = −10. 3y + 3x = 24 c

VMariaS [17]

The answer is d. 5y − x = −10. 3y − x = 24

$\frac{1}{5}x-2= \frac{1}{3}x+8=y$
⇒    $y= \frac{1}{5}x-2$
   $y= \frac{1}{3}x+8$
________________________
$y= \frac{x}{5} -2= \frac{x}{5} - \frac{10}{5} = \frac{x-10}{5}$
$y= \frac{x}{3} +8= \frac{x}{3} + \frac{24}{3} = \frac{x+24}{3}$
________________________
$y= \frac{x-10}{5}$ ⇒    $5y=x-10$
$y= \frac{x+24}{3}$   ⇒    $3y=x+24$
________________________
$5y-x=-10$
$3y-x=24$

5 0

2 years ago

Find the distance between the points (0,2)and (-5,-9)The answer must be a whole number or a fully simplified radical expression

LiRa [457]

Answer:

d = $\sqrt{146}$

Step-by-step explanation:

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-9-2)^2}\\d= \sqrt{(-5)^2+(-11)^2}\\d= \sqrt{25+121}\\d= \sqrt{146}$

7 0

2 years ago

Given that x and y are positive integers, solve the equation x² - 4y² = 13

zvonat [6]

<h3>Answer: x = 7 and y = 3</h3>

=====================================================

Explanation:

Apply the difference of squares rule

x² - 4y² = 13

x² - (2y)² = 13

(x - 2y)(x + 2y) = 13

Since x and y are positive integers, this means x-2y and x+2y are both integers as well.

The value 13 is prime. Its only factors are 1 and 13

Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:

A) x-2y = 1 and x+2y = 13
B) x-2y = 13 and x+2y = 1

----------------

Let's consider case A

We have this system of equations

$\begin{cases}x-2y = 1\\x+2y = 13\end{cases}$

Add the equations straight down

x+x becomes 2x
-2y+2y becomes 0y = 0 which goes away
1+13 becomes 14

Therefore we have 2x = 14 solve to x = 7

From here, plug this into either equation to solve for y

x-2y = 1

7 - 2y = 1

-2y = 1-7

-2y = -6

y = -6/(-2)

y = 3

You should get the same result if you used x+2y = 13

----------------

Since we've found that x = 7 and y = 3, notice how case B is not possible

Example: x-2y = 13 becomes 7-2(3) = 13 which is false.

Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.

-----------------

Let's check those x and y values in the original equation

x² - 4y² = 13

7² - 4*(3)² = 13

49 - 4(9) = 13

49 - 36 = 13

13 = 13

The answer is confirmed.

4 0

1 year ago