Answer:
Step-by-step explanation:
Let's FOIL out both sides and then see where we are after that:
Let's combine like terms now and get everything on one side of the equals sign and set the polynomial equal to 0 to solve for x:
0 = 8x - 4 and we can factor out a 4 to give us:
0 = 4(2x - 1)
Either 4 = 0 or 2x - 1 = 0. Well it's obvious that 4 does not equal 0, so 2x-1 must equal 0. Then
2x = 1 so
x = 1/2 or choice A on the left.
Answer:
u = 8w-16 /-12 or = - 8w-16/12 both mean the same due to the a/-b- = -a/b rule. Then you can factor out the rest. note the fnew subtraction changes mean the same as - (a/b) and should show without brackets as a centre pointing whole fraction subtraction sign.
Step-by-step explanation:
-12u -13 = 8w-3
-12u+13 -13 = 8w-3-13 Eliminate -13 by +13 both sides
-12u = 8w-16 So you are left with one value left side.
-12u/-12 = 8/-12 - 16/-12 Then divide all values by -12 to find value for u and keep the subtraction as 8 never had subtraction sign and no multiplication .
u = 8w-16 /-12 Then you can factor out the rest
This has made u the independent variable then you have a choice to continue showing or ignore u; as u =
= - 8(w-2)/12 Step 1 Factor with subtraction change from -12 to - central fraction
= - 2(w-2)/3 Step 2 Simplify with new minus sign for central fraction to replace a/-b
Answer:
(V+3)(V+2)
Step-by-step explanation:
Sum of the numbers in the set: 42+37+32+29+20 =160
Current mean: 160/5 = 32
Median = the valvue of the middle = 32.
New mean: 32+10= 42.
Sum of numbers in the new set = 42*8 = 336
Difference: 336 - 160 = 176
I want to include 32, so that the new median stays in 32.
So the other two numbers must add 176 - 32 = 144
I will use a smaller number than 32 and the other greater (again in order to keep the same median.
I will choose 28 and 144 - 28 = 116.
So my three new numbers are 28, 32 and 116 and the new set is {116, 42, 37, 32, 32, 29,28, 20}
Checking:
Sum of the terms: 116+42+37+32+32+29+28+20 = 336
Mean = 336 / 8 = 42, which is 10 more than the original mean.
And the new median is (32+32)/2 = 32. The same of the original set.
Answer:
s = 10
Step-by-step explanation:
Given s is inversely proportional to t , then the equation relating them is
s = 
← k is the constant of proportion
To find k use the condition when s = 0.6, t = 5
0.6 = 
( multiply both sides by 5 )
3 = k
s = 
← equation of proportion
When t = 0.3, then
s = 
= 10
