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Vitek1552 [10]
1 year ago
15

Graph the solution set.-10x≤2y

Mathematics
1 answer:
vagabundo [1.1K]1 year ago
4 0

To be able to determine the graph of this inequality, we'll start rearranging the inequality putting the "y" variable at the left side of the equation.

\begin{gathered} -10x\leq2y \\ \frac{-10x}{2}\leq\frac{2y}{2} \\ -5x\leq y \\ or \\ y\ge-5x \end{gathered}

Since the inequality here is greater than or equal to, this means that the shade is above the solid line.

This equation also has a slope of -5 and y-intercept of 0.

Therefore, the graph of this equation looks like this:

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Kala purchased a prepaid phone card for $15. Long distance calls cost $12 a minute using this card. Kala Use her card only once
irina [24]

Kala call lasted for 0.36 minutes

<em><u>Solution:</u></em>

Given that Kala purchased a prepaid phone card for $15

Long distance calls cost $12 a minute using this card.

If the remaining credit on her card is $10.68

To find: Number of minutes her call lasted

Let "x" be the number of minutes her call lasted

Cost of 1 minute = $ 12

Total balance = $15

Remaining balance = $ 10.68

So we can frame a equation as:

Total balance = Remaining balance + Cost of 1 minute x number of minutes her call lasted

15 = 10.68 + 12 \times x\\\\15 - 10.68 = 12x\\\\4.32 = 12x\\\\x = 0.36

So her call lasted for 0.36 minutes

4 0
3 years ago
Calculate the slope of a line with a run of 3 and a rise of 9.
Mrrafil [7]

Answer:

<u>Slope = 3</u>

Step-by-step explanation:

Slope is calculated as the "Rise/Run" of a straight line.  The Rise is the change in the value of y, or the amount y changes per change in x.  Run is the change in the x value.  A line with a run of 3 and a rise of 9 is calculated as:

Rise/Run = 9/3 or 3

This means that the value of y will increase by 3 for every increase of 1 in the value of 3.

Slope in "m" in the slope-intercept form of a straight line equation:  y = mx + b

The line y = 3x + 2 tells us the it has a slope of 3 and intercepts the y axis at x = 2.

Example points (y = 3x + 2)

(0,2)

(1,5)

(4,14)

Note that y changes by 12 when x changes by 4.  Rise/Run = 12/4 or 3.

4 0
2 years ago
15 POINTS AND BRAINLIEST Which function represents a quantity growing exponentially?
tatuchka [14]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Louis and Max are contestants in a jellybean-eating contest. Louis eats 18 jellybeans
Nezavi [6.7K]

Answer: They ate at the same pace.

Step-by-step explanation: assuming you want to know who ate more faster you can do 18 / 30 and 24 / 4 to find out who ate more in 10 seconds each.

18 / 3 = 6 and 24 / 4 = 6. So they ate at the same speed / pace.

Hope this helps! Brainliest and / or a rating out of 5 stars would be appreciated :)

8 0
3 years ago
Is it more difficult to walk up the ramp or the hill? Show all steps and explain.
guajiro [1.7K]

Answer: the hill

Step-by-step explanation:

It has a bigger slope angle.

5 0
2 years ago
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