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Anni [7]
3 years ago
6

Write the equation of a line that goes the through the point (4 , -2) and is parallel to the line y = 3x - 1/3.

Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Answer:

y = 3x - 14

Step-by-step explanation:

If a line is parallel to another, it will have the same slope

So, the line's slope will be 3

Plug in the given point and the slope into y = mx + b, and solve for b

y = mx + b

-2 = 3(4) + b

-2 = 12 + b

-14 = b

Plug in the slope and b into y = mx + b

y = 3x - 14

So, the equation is y = 3x - 14

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g Suppose that a die is rolled twice. What are the possible values that thefollowing random variables can take on:(a) the maximu
KengaRu [80]

Answer:

(a) A = {1, 2, 3, 4, 5, 6}

(b) B = {1, 2, 3, 4, 5, 6}

(c) C = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

(d) D = {-5, -4, -3, -2, -1, -0, 1, 2, 3, 4, 5}

Step-by-step explanation:

Assume each roll can result in the numbers 1, 2, 3, 4, 5, or 6.

(a) If both rolls result in a 1, the maximum value is 1. If either roll results in a 6, the maximum value is 6; all integers between 1 and 6 are also possible. Therefore, the possible values are:

A = {1, 2, 3, 4, 5, 6}

(b) If either roll results in a 1, the minimum value is 1. If both rolls result in a 6, the minimum value is 6; all integers between 1 and 6 are also possible. Therefore, the possible values are:

B = {1, 2, 3, 4, 5, 6}

(c) If both rolls result in a 1, the sum is 2. If both rolls results in a 6, the sum is 12; all integers between 2 and 12 are also possible. Therefore, the possible values are:

C = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

(d) If the first roll results in a 1 and the second results in a 6, the result is -5. On the other hand, if the first roll results in a 6 and the second results in a 1, the result is 5; all integers between -5 and 5 are also possible. Therefore, the possible values are:

D = {-5, -4, -3, -2, -1, -0, 1, 2, 3, 4, 5}

7 0
3 years ago
Please Help!!! i need it... :(
Gennadij [26K]
I hope this helps! It’s been a while since I’ve done slope-intercept though, so I might be a little rusty

4 0
2 years ago
Read 2 more answers
A rectangle has a height of 4x ^ 3 width of x ^ 3 + 3x ^ 2 + 2x . Express the area of the entire rectangle .
astra-53 [7]

Answer:

4x^6+12x^5+8x^4

Step-by-step explanation:

To find the area of a triangle, you need to multiply the width by the height. In this case:

(4x^3)(x^3+3x^2+2x)=\\4x^6+12x^5+8x^4

Hope this helps!

6 0
3 years ago
Someone help with this one please.
kodGreya [7K]

The think the answer for number 7 is A/10

Number 8 is C/16

5 0
3 years ago
Find three consicutive numbers that have the sum 96
In-s [12.5K]

Answer:

31, 32, 33

Step-by-step explanation:

three consicutive numbers means 3 numbers in a row

sum 96 is the total you want to reach

31 + 32 + 33

7 0
2 years ago
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