Step-by-step explanation:
<u>To make both equivalent</u>.
For equation (I) multiply all through by 4
Now, from
x - 1/2 = x/4 + 3
it becomes
4(x) - 4(1/2) = 4(x/4) + 4(3)
--> 4x - 2 = x + 12.
This is your new equation (I) or you can call it equation (iii).
For equation (ii) multiply all through by 1 to make it equivalent to your new equation (I) or eqn (iii) if you wish.
Now from
4x - 2= x + 12
it becomes
1(4x) - 1(2) = 1(x) + 1(12)
--> 4x - 2 = x + 12
This is your new equation (ii) or you can call it equation (iv)
Therefore;
Equation 1 has to be multiplied by 4 and Equation 2 by 1 to make both equivalent.
New equation 1 is 4x-2=x+12
New equation 2 is 4x-2=x+12.
Answer:
<em>an= 3+12n </em>
Step-by-step explanation: <em>the sequence is 15,27,39,51 The first term is : a 1= 15 The common difference of this sequence : d= 27 - 15 </em>
<em>The nth term of an arithmetic sequence is given by formula an= a + (n - 1 ) d . so a n for the sequence will be : </em>
<em>an =15+ (n-1) 12 </em>
<em>an = (15)+12n - 12</em>
<em>an = 3 + 12n</em>
Brainliesttt?~shay
Answer:
12.3
Step-by-step explanation:
Step 1
We find the mean
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100
Mean = Sum of terms/Number of terms
Number of terms = 10
Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10
Mean = 844/10
Mean = 84.4
Step 2
Standard deviation
The formula for sample standard deviation =
√(x - Mean)²/n - 1
= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1
=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1
= √1364.4/9
= √151.6
= 12.31259518
Approximately to the nearest tenth = 12.3
The standard deviation = 12.3
Answer:
1/9x + 1 = 7/3
-1 -1
1/9x = 1 1/3
divide by 1/9 on both sides to isolate x
x = 12
