Step-by-step explanation:
let : the pair of jeans = X
a. the equation is :
4(X-3) + 8 = 92
b. 4(X-3) = 92-8
4X -12 = 84
4X = 84+12
4X = 96
X = 96/4
X = 24
so, the price of each pair of jeans = $24
_________
For the solution x = 2.6, the left side of equation
(2x - 6) => would be 2(2.6)-6 = 5.2-6 = -8 ( the negative value),
but on the right side of the equation 4x+8 => 4(2.6) +8 = 18.4 ( the positive value)
this difference indicates that x=2.6 is not the right solution.
Answer:
(a - b)(a² + ab + b²)
Step-by-step explanation:
The difference of cubes is expressed as:
a³-b³
Using trial and error:
a³-b³
Check (a - b)(a² + ab + b²)
Expand
(a - b)(a² + ab + b²)
= a(a²)+a(ab)+a(b²)-a²b-ab²-b³
= a³+a²b+a(b²)-a²b-ab²-b³
Collect the like terms
= a³+a²b-a²b+ab²-ab²-b³
= a³-b³
Hence the required option is
Answer:
5 and 7
Step-by-step explanation:
<u>Fast and loose</u>: 12 is written as a sum of two odd numbers as 1+11; 3+9; 5+7. The only consecutive pair is 5 and 7
<u>Let's use algebra</u>: let's call 2n+1 the first and 2n+3 the second.
Their sum is 2n+1 +2n+3 = 4n+4 = 12. Thus, n+1=3 and n= 2. It means the 2 numbers are 2x2+1 =5 and 2x2+3 =7
Answer:
Option B
Step-by-step explanation:
Only lines which are parallel to the line which connects the given two points will neve r intersect,
parallel line has same slope
the slope of the line which connects the given two points is, 5/2
and the line is option B also has the same slope, so those two lines will never intersect each other.
Answered by GAUTHMATH
<span> s = -16t^2 + 64t + 3
v = -32t + 64
the maximum height occurs when v = 0:
-32t + 64 = 0 when t = 2 sec
the maximum height is
s = -16(2^2) + 64(2) + 3 = 67 ft
the range is [ 3, 67] </span>
