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saul85 [17]
3 years ago
7

What is the slope of the following 12x - 6y = 30

Mathematics
2 answers:
blagie [28]3 years ago
6 0

Answer:

slope = m = 2

olga_2 [115]3 years ago
6 0

Answer:

2

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope

Solve for y

12x - 6y = 30

Subtract 12x from each side

-6y =-12x+30

Divide by -6

y = -12x/-6 +30/-6

y = 2x -5

The slope is 2

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Plz help me please
Ainat [17]
The answer would be A) July

5 0
3 years ago
Read 2 more answers
How many elements does A contains if it has 64 subsets​
Amanda [17]
<h3>Answer:  6</h3>

===========================================================

Explanation:

Rule: If a set has n elements in it, then it will have 2^n subsets.

For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.

  1. {a,b,c} .... any set is a subset of itself
  2. {a,b}
  3. {a,c}
  4. {b,c}
  5. {a}
  6. {b}
  7. {c}
  8. { } ..... the empty set

Subsets 2 through 4 are subsets with exactly 2 elements.  Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol \varnothing to indicate the empty set.

For more information, check out concepts relating to the power set.

-------------------

The problem is asking what value of n will make 2^n = 64 true.

You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.

Another approach is to follow these steps.

2^n = 64\\\\2^n = 2^6\\\\n = 6

Which is fairly trivial.

Or you can use logarithms to solve for the exponent.

2^n = 64\\\\\text{Log}\left(2^n\right)=\text{Log}\left(64\right)\\\\n*\text{Log}\left(2\right)=\text{Log}\left(64\right)\\\\n=\frac{\text{Log}\left(64\right)}{\text{Log}\left(2\right)}\\\\n\approx\frac{1.80617997398389} {0.30102999566399} \ \text{ ... using base 10 logs}\\\\n\approx5.99999999999983\\\\

Due to rounding error, we don't land exactly on 6 even though we should.

5 0
2 years ago
What is the discriminant of 3 x squared minus 10 x = negative 2?<br> 76<br> 94<br> 106<br> 124
abruzzese [7]

Answer:

76

Step-by-step explanation:

The discriminant is b^{2} - 4ac part of the quadratic formula.

a term is 3

b term is -10

c term is 2 (add it to the side of the 3 x squared minus 10 x)

Plug the values in!

(-10)^squared - 4(3)(2)

100-24 = 76

7 0
3 years ago
Read 2 more answers
The sum of three consecutive odd integers is 18 less than five times the middle number fimd the three integers
ycow [4]

Answer:

7, 9, 11

Step-by-step explanation:

x+x+2+x+4=5(x+2)-18

3x+6=5x+10-18

3x+6=5x+-8

3x=5x+-14

-2x=-14

x=7

7 0
3 years ago
BE is an angle bisector of ABE =2x+20 and mEBC=4x-6 determine m ABE
Mashcka [7]

Answer:

46°

Step-by-step explanation:

BE is the bisector so abe is the same as ebc

2x+20=4x-6

26=2x

13=x

so now plug x back into abe to find its measure

2(13)+20

26+20

46

5 0
4 years ago
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