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Bad White [126]
3 years ago
5

What is the equation of the line that passes through the point (2,-2) and has a slope of 3?

Mathematics
1 answer:
sasho [114]3 years ago
8 0

Answer:

y = 3x - 8

Step-by-step explanation:

Slope = m = 3 ; (2 , -2)

Equation : y = mx + b

Plug in x = 2 and y = -2 in the above equation

-2 = 3*2 + b

-2 = 6 + b

-2 -6 = b

b = -8

Equation:  y = 3x - 8

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Of the cartons produced by a company, 5% have a puncture, 8% have a smashed corner, and 0.4% have both a puncture and a smashed
Vladimir [108]

The probability that a randomly selected carton has a puncture or a smashed corner is 12.6%.

In this problem, the events are:

Event A: Puncture.

Event B: Smashed corner.

The "or" probability is given by:

P(AUB)=P(A)+P(B)-P(A∩B)

5% have a​ puncture, hence P(A)=0.05

8% have a smashed​ corner, hence P(B)=0.08

0.4% have both a puncture and a smashed corner, henceP(AUB)=0.004

Then:

P(AUB)=0.05+0.08-0.004= 0.126

Therefore, The probability that a randomly selected carton has a puncture or a smashed corner is 12.6%.

Learn more about probability here brainly.com/question/20344684

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5 0
2 years ago
For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)
Lorico [155]

The value of (f - g)(x) is -x² + 3x + 7.

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

   f(x) = 3x + 1

   g(x) = x² - 6

Now,

 (f - g)(x) = f(x) - g(x)

              = (3x + 1) - (x² - 6)

              = 3x + 1 - x² + 6

(f - g)(x)  = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

Learn more about Function from:

brainly.com/question/12431044

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8 0
2 years ago
Read 2 more answers
I need help with the steps. The answer is (5,2)
Elden [556K]

So with this, I will be using the substitution method. With the first equation, substitute (y+3) into the x variable and solve for y:

y+3+y=7\\2y+3=7\\2y=4\\y=2

Next, now that we have the value of y, substitute it into either equation to solve for x:

x+2=7\\x=5\\\\x=2+3\\x=5

<u>And this is how you get your final answer (5,2).</u>

5 0
4 years ago
A cube has a volume of 1/8. If the cube holds 24 of these sugar cubes, what is the total volume of the box?
svetlana [45]

\frac{1}{8}  \div 24 = 3
8 0
3 years ago
Read 2 more answers
995² evaluate and answer​
ollegr [7]

Answer:

Step-by-step explanation:

995 2 = 990025

Thia is the correct answer

6 0
3 years ago
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