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Alexus [3.1K]
3 years ago
11

Write the equation of the line that passes through (3, –2) and has a slope of 4 in point-slope form.

Mathematics
1 answer:
arsen [322]3 years ago
8 0
The point-slope form is
y - y1 = m(x - x1)

Given (3, -2) and m = 4, so
y - (-2) = 4(x - 3)
y + 2 = 4x - 12
y = 4x - 12 - 2
y = 4x - 14

That is now the line equation.



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Can someone explain HOW to simplify this algebraic fraction, as in tell me why and what I need to do for each step : 1-n/n^2-1
Andreyy89

- I’m assuming the expression implies the following:

(1-n)/(n^2 - 1)

The steps goes as follows:

= -(n-1)/(n^2-1) (factored a negative out)
= -(n-1)/[(n+1)(n-1)] (Factored denominator into a difference of squares, but don’t just blindly accept the fact, expand it and you should get the original denominator)

At this point, the (n-1) terms cancel, as you should know: a real number, besides 0, over itself is 1.

= -1/(n+1) , which is the answer

Note: You could also see it as 1/-(n+1) or 1/(-n-1)
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2 years ago
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xeze [42]

Answer:

47 I believe

Step-by-step explanation:

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3 years ago
Read 2 more answers
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Sunny_sXe [5.5K]
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4 0
3 years ago
Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss
egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

P=\frac{x}{y}  

In this problem

<em>The probability of choose a blue card is </em>

x=7

y=7+4+6+8=25

substitute

P=\frac{7}{25}

<em>The probability of choose a green card is </em>

x=4

y=7+4+6+8=25

substitute

P=\frac{4}{25}

<em>The probability of choose a red card is </em>

x=6

y=7+4+6+8=25

substitute

P=\frac{6}{25}

<em>The probability of choose a yellow card is </em>

x=8

y=7+4+6+8=25

substitute

P=\frac{8}{25}

The sum of the probabilities of the 4 possible outcomes  is equal to

\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25} ----> represent the 100%

4 0
3 years ago
An automobile salesman receives a monthly bonus cheque if his commission income is at least $6,800.00 in a given month. There ar
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The salesman earns $850 per automobile he sells.

Since x represents the amount of automobiles the salesman sells, we can apply the commission as a coefficient to this variable. Therefore, the total commission that the salesman earns can be represented by $850x.

The bonus cheque is only received if the salesman's commission income is <em>at least </em>$6,800. 'at least' means that the salesman can still receive the cheque if his commission is exactly $6,800. The sign that we can use for this situation is the greater than or equal to sign, ≥.

The inequality that shows the commission income needed for the cheque is $850x ≥ $6,800. However, this question asks for the number of automobiles the salesman must sell to get the cheque.

Divide both sides by $850, as that represents his sales from one commission:

x ≥ 8

The inequality x ≥ 8 represents the amount of automobiles the salesman will need to sell to get the bonus cheque.

6 0
3 years ago
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