Answer:
To make x the subject of the equation means to solve the equation for x (get x by itself on one side). We do the order of operations in reverse, because we are using inverse operations. First, add the 2 to both sides (to keep the equation “balanced” we must do the same thing to both sides). y+2=3x. Then divide both sides of the equation by 3 (or multiply both sides by 1/3.
Step-by-step explanation:
<h3>
Answer: an = 6n - 15 (Choice C)</h3>
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Explanation:
This sequence is arithmetic
The first term is a = -9
The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)
Plug those values into the arithmetic nth term formula below
an = a + d*(n-1)
an = -9 + 6*(n-1)
an = -9 + 6n-6
an = 6n - 15
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As a check, let's plug in something like n = 1
an = 6n - 15
a1 = 6*1 - 15
a1 = 6 - 15
a1 = -9
We see that the 1st term is -9, which matches the sequence given
Now let's plug in n = 2
an = 6n - 15
a2 = 6*2 - 15
a2 = 12 - 15
a2 = -3
The 2nd term is -3. This also matches.
I'll let you check the other values of n to confirm the answer.
Answer:
112, 119 and 126.
Step-by-step explanation:
Let the consecutive multiples of 7 be 7n, 7(n+1) and 7(n+2) where n is an integer, then:-
7n + 7n + 7 + 7n + 14 = 357
21n + 21 = 357
21(n + 1) = 357
n = (357/21) - 1
n = 17 + 1 = 16.
So the numbers are 7*16 = 112, 7*17 = 119 and 7*18 = 126.
Answer:
y = 8x + (any number other than 7)
Step-by-step explanation:
All of the other lines will be parallel to y = 8x + 7 they will never cross so there isn't a solution.
48% means 48/100
48/100
Factor out the 4
4 x 12/4 x 25
As 4 appears in both numerator and denominator as a factor it can be eliminated
12/25( Simplest Form)
Hope I helped!
