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diamong [38]
3 years ago
5

Factor 6x ^ 2 - 3x - 45; 3(2x - 5) * (x + 3); 3(2x - 3) * (x - 5); 3(2x + 5) * (x - 3); 3(2x + 3) * (x - 5)

Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

3(2x+5)(x-3)

Step-by-step explanation:

The given equation is:

6x^{2}-3x-45

It can be solved by using middle term splitting.

So,

6x^{2}-3x-45=6x^2+15x-18x-45\\\\=3(2x+5)(x-3)

So, the factors of 6x^{2}-3x-45 are 3(2x+5)(x-3)

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What is the sum of the arithmetic series 5<br> E(3n-2)<br> N-1
vitfil [10]

Answer:

35

Step-by-step explanation:

4 0
3 years ago
Hello, can i please have help on this question thank you
cricket20 [7]

Answer:

Step-by-step explanation:

a) One can get maximum score when all the 20 questions answered are correct.

Maximum score = 20*3 = 60 points

b) Minimum score = 20 * (-2) = -40 points

c) Points for correctly answered questions = 10*3 = 30

Incorrectly answered questions = 14 - 10 = 4

Points for incorrectly answered questions = 4 * (-2) = -8

Total score = 30 + (-8) = 22

d) Points for correctly answered questions =5*3 =  15

Points for incorrectly answered questions = 13 * (-2) = -26

Total score = 15 + (-26) = -11

6 0
3 years ago
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
motikmotik
Ur gonna have to pick an equation and solve for a variable.

2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3

now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
        -42          -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3

now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6

solution is (6,3)

it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)

so yes, ur solution is (6,3)
4 0
3 years ago
Read 2 more answers
Which number line represents the solution of x + 3 &gt; 2?
Ghella [55]

Answer:

x > -1

(-1, infinity)

Step-by-step explanation:

6 0
3 years ago
I really need help on my engineering homework.
schepotkina [342]
This is more like math homework
7 0
3 years ago
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