<span>An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference.<span>A geometric sequence is a sequence with the ratio between two consecutive terms constant.</span></span>
Least to greatest: 7/12, 0.75, 5/6
Explanation:
Leave 7/12.
5/6 is equivalent to 10/12 if you multiply the numerator and denominator by 2.
0.75 is equal to 75/100, which is equal to 3/4 if you divide numerator and denominator by 25. 3/4 is equal to 9/12 if you multiply by 3.
You can look at the three numbers as 7/12, 10/12, and 9/12.
<span>x^2 - 6x = 7
(x - 7)(x + 1)= 0
x = 7, - 1
The answer is: x = 7, -1.</span>
Answer:
x=-3
Step-by-step explanation:
2
−
1
⋅
1
2
=
6
2-1 \cdot \frac{12}{x}=6
2−1⋅x12=6
Solve
1
Combine multiplied terms into a single fraction
2
−
1
⋅
1
2
=
6
2
+
−
1
⋅
1
2
=
6
2
Multiply the numbers
2
+
−
1
⋅
1
2
=
6
2
+
−
1
2
=
6
3
Subtract
2
2
2
from both sides of the equation
2
+
−
1
2
=
6
2
+
−
1
2
−
2
=
6
−
2
4
Simplify
Subtract the numbers
Subtract the numbers
−
1
2
=
4
5
Multiply all terms by the same value to eliminate fraction denominators
−
1
2
=
4
⋅
−
1
2
=
⋅
4
6
Simplify
Cancel multiplied terms that are in the denominator
Re-order terms so constants are on the left
−
1
2
=
⋅
4
-12=x \cdot 4
−12=x⋅4
−
1
2
=
4
-12=4x
−12=4x
−
1
2
=
4
7
Divide both sides of the equation by the same term
−
1
2
=
4
−
1
2
4
=
4
4
8
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
=
−
3
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Solution
=
−
3
Before we begin, note the following:
+ve * +ve = +ve
-ve * -ve = +ve
+ve * -ve = -ve
-ve * +ve = -ve
Now, for the given question:
The given equation is:
78 = -2(m+3) + m
To solve for m, we need to isolate m on one side of the equation and compute its value as follows:
78 = -2(m+3) + m
78 = -2m - 6 + m
m-2m = 78+6
-m = 84
m = 84/-1
m = -84
