Step-by-step explanation:
step 1. 12x - 15 - 12x = 7x + 20
step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)
step 3. -15 = 7x + 20 (adding like terms)
step 4. -35 = 7x (subtract 20 from both sides)
step 5. this step is incorrect.
step 6. -5 = x ( divide both sides by 7)
step 7. x = -5 (put the variable first).
Answer:
I will show all the steps to lead to the solution.
1) 10b = 5 (√c + 2) <---- starting equation
2) divide by 5 => 2 b = √c + 2
3) subtract 2 => 2b - 2 = √c
4) raise to the power 2 => (2b - 2)^2 = c, which is the expression given.
Now these are two equivalent forms:
1) extract 2 from the parentheses: c = 4 (b -1)^2
2) expand the parentheses: c = 4b^2 - 8b + 4)
Step-by-step explanation:
Choice D
Answer:
3,6,-2
Step-by-step explanation:
a+2a+b = 7
2a^2b = -36
a*2a + ab + 2ab = 0
or, a(2a+3b) = 0
so, b = -2a/3
Solve those and you find 3,6,-2
Answer:
Colin's mean score = 17.10
The new mean is 18.00
Step-by-step explanation:
Given scores: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1
number of terms: 10
mean is calculated by given formula = sum of all the data set/ number of terms in the data set.
mean for the 10 scores = (31+ 10+ 26+ 16+ 28+ 31+ 9+ 11+ 8+ 1 )/10
= 171/10 = 17.1
Colin's mean score = 17.10
____________________________________________
runs scored by Colin in 11th match = 27
number of terms: 11
new mean = new sum /number of terms
new mean = (old sum score + 27)/11 = (171+27)/11
new mean = 198/11 = 18
The new mean is 18.00
