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Sphinxa [80]
3 years ago
11

3x-4y>12

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0

For this case we have the following inequality:

3x-4y> 12

We must find an ordered pair of the form (x, y) that meets the inequality.

Example:

<em>Pair 1: </em>(x, y) :( 0,0)

3 (0) -4 (0)> 12\\0> 12

This pair does not satisfy the inequality.

<em>Pair 2:</em> (x, y) :( 6,1)

3 (6) -4 (1)> 12\\18-4> 12\\14> 12

This pair satisfies the inequality!

Thus, the pair(x, y) :( 6,1) meets the inequality.

Answer:

(x, y) :( 6,1)

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Match each statement in the proof with the correct reason.
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Answer:

area is equal to base times height

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xxTIMURxx [149]

Answer:

D (x-10)

Step-by-step explanation:

x^2 - 8x - 20

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How do you do number 1?<br>Whenever I tried to answer it, I always get fraction. help me.​
Flura [38]

Answer:

The pairs are (13,15) and (-15,-13).

Step-by-step explanation:

If n is an odd integer, the very next odd integer will be n+2.

n+1 is even (so we aren't using this number)

The sum of the squares of (n) and (n+2) is 394.

This means

(n)^2+(n+2)^2=394

n^2+(n+2)(n+2)=394

n^2+n^2+4n+4=394               since (a+b)(a+b)=a^2+2ab+b^2

Combine like terms:

2n^2+4n+4=394

Subtract 394 on both sides:

2n^2+4n-390=0

Divide both sides by 2:

n^2+2n-195=0

Now we need to find two numbers that multiply to be -195 and add up to be 2.

15 and -13 since 15(-13)=-195 and 15+(-13)=2

So the factored form is

(n+15)(n-13)=0

This means we have n+15=0 and n-13=0 to solve.

n+15=0

Subtract 15 on both sides:

n=-15

n-13=0

Add 13 on both sides:

n=13

So if n=13 , then n+2=15.

If n=-15, then n+2=-13.

Let's check both results

(n,n+2)=(13,15)

13^2+15^2=169+225=394.  So (13,15) looks good!

(n,n+2)=(-15,-13)

(-15)^2+(-13)^2=225+169=394.  So (-15,-13) looks good!

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3 years ago
Write an equation in slope intercept form for the graph below
labwork [276]

Answer:

y = 10x

Step-by-step explanation:

Finding the slope (m) of the line the following points in the line, (0, 0) and (2, 20):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20 - 0}{2 - 0} = \frac{20}{2} = 10

y-intercept (b) is 0. The line intercepts the y-axis at 0. Thus, b = 0.

Substitute m = 10 and b = 0 in y = mx + b

The equation in slope-intercept form for the graph would be:

✅y = 1x + 0

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