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kvasek [131]
3 years ago
14

2 1 point Is (6, -2) a solution to 6x – 4y > 24? no? yes?

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

Answer:

Yes, (6, -2) is a solution.

Step-by-step explanation:

See if it is a solution by plugging in the x and y values into the inequality. If it makes the inequality true, it is a solution. If it makes it false, it is not a solution.

6x - 4y > 24

6(6) - 4(-2) > 24

Simplify:

36 + 8 > 24

44 > 24

This is true, meaning that (6, -2) is a solution to the inequality.

Yes, (6, -2) is a solution.

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A rectangular prism has a height of 4 inches and a width of 12 inches. If the prism can hold 432 cubic inches of water, what is
chubhunter [2.5K]
Given,

Height of the rectangular prism (h) = 4 inches
Width of the rectangular prism (w) = 12 inches
Since the prism can hold 432 cubic inches of water, 
Volume of the rectangular prism (V) = 432 inches³

Formula for Volume of a rectangular prism (V) is,

V = whl

I am assuming you are looking for the third side, the length (l) of the prism.

From the above formula for volume, 

Length of the prism (l) = V ÷ wh = 432 ÷ (4x12) = 432 ÷ 48 = 9 inches
5 0
3 years ago
Which are the solutions of the quadratic equation?
Artemon [7]

Answer:

x_1=\frac{7+\sqrt{65}} {2}

x_2=\frac{7-\sqrt{65}} {2}

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}=7x+4  

equate to zero

x^{2}-7x-4=0  

so

a=1\\b=-7\\c=-4

substitute in the formula

x=\frac{-(-7)\pm\sqrt{-7^{2}-4(1)(-4)}} {2(1)}

x=\frac{7\pm\sqrt{65}} {2}

therefore

x_1=\frac{7+\sqrt{65}} {2}

x_2=\frac{7-\sqrt{65}} {2}

StartFraction 7 minus StartRoot 65 EndRoot Over 2 EndFraction comma StartFraction 7 + StartRoot 65 EndRoot Over 2 EndFraction

3 0
4 years ago
Read 2 more answers
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NNADVOKAT [17]

Answer and Step-by-step explanation:

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Let's take one rat example.

Here, in an experiment, a researcher may use moulding technique to coach a rat to push a lever.

To begin with, the researcher may award the rat if it does any movement in the lever direction at all. The rat will then simply take a step towards to the lever to be rewarded. Likewise, as the rat moves over to the lever and so forth, the rat also gets a reward before just pushing the lever generates reward.

Here the behaviour of the rat was 'formed' in order to make it push the lever. According to the example, any time the rat is awarded, it is praised for a "successive approximation" or for behaving in a manner that is nearer to the desired behaviour or result.

Likewise, algebraic equations are also progression steps and step-by - step progression allows solve the issue.

8 0
3 years ago
16. Liam is a rewards member at a local restaurant. He can buy four tacos at
allochka39001 [22]
Liam = 4t = 5.50
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3 years ago
The product of 3 and a number x is at most 21
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X is less then or equal to 7
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