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3 years ago

1: Plot the graph of the equation 2x-3y=6 and 2x+y=-10 and intercept the result.

1 answer:

5 0

To graph the equations, rewrite the equations written in standard form to slope-intercept form of the equation.

$y=mx+b\\\\ 2x-3y=6\\ 2x+y=-10 \\\\3y= 2x- 6\ \ / :3\\ y=-2x-10 \\\\y= \frac{2}{3}x- 2 \\ y=-2x-10$

$Answer : \\ \\The \ lines \ intersect \ when \ x = -3 \ and \ y = -4$

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Colt1911 [192]

Answer:

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Step-by-step explanation:

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2 years ago

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8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

1 | 0 | 1

2 | 0 | 2

1 | 1 | 2

2 | 1 | 3

Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

The conditions above shall comply the requirements established, but first, analyzing the statement:

If $a \geq 0$ and $b \geq 0$ then $a + b \geq a$ , $a + b \geq b$ and $a + b \geq 0$ .

If $a = 0$ and b a non negative real number, then $a + b \geq b$ , but because to $a = 0$ , then $a + b = b$ . Due to the commutative property of sums, the same behavior will be presented if $b = 0$ and a a non negative real number.

According to that, if $a + b = 0$ , then $a = 0$ and $b = 0$ .

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3 years ago

What is the least 10-digit whole number? write the number in word form and in standard form

Ghella [55]

1,000,000,000 standard form
one billion word form

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3 years ago

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A state lottery sells instant-lottery scratch tickets. 12% of the tickets have prizes. Neil goes to the store and buys 10 ticket

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Answer:

The probability of success is .12

The probability of failure is .88

According to the binomial theorem the probability of 3 success is

10! / (3! * 7!) * .12^3 * .88^7 = .085

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3 years ago

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Answer:

-12

Step-by-step explanation:

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3 years ago