You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.
1) Multiply the binomial by itself.
(3x - 2)^2 = (3x - 2)(3x - 2) =
Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)
= 9x^2 - 6x - 6x + 4
= 9x^2 - 12x + 4
2) Use the square of a binomial pattern
The square of a binomial is
(a - b)^2 = a^2 - 2ab - b^2
a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.
You have
(3x - 2)^2,
where the first term is 3x, and the second term is -2
square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x
Put it all together, and you get
9x^2 - 12x + 4
just like we got above with the other method.
Answer:
A number minus the product of
4
and its reciprocal is less than zero. Find the numbers which satisfy this condition.
AAny number less than
−
2
or between
0
and
2
BAny number between
−
2
and
2
CAny number less than
2
DAny number between
0
and
2
Solution
Let the number be x
Then
x
−
(
4
×
1
x
)
≤
0
⇒
x
≤
4
x
⇒
x
2
≤
4
⇒
|
x
|
≤
2
⇒
−
2
≤
x
≤
2
Step-by-step explanation:
Answer:
Distance in meters D = 167.75 meters
Step-by-step explanation:
Distance covered in 5 seconds is given by:
Distance, D = Speed (S) X Time (T)
Where,
Distance = ?
Speed = 75mph
Time = 5s
Since we are calculating distance in meters, we have to convert 75miles per hour to meters per second
75mph = 75miles/1hr X 1km/0.621miles X 1000m/1km X 1hr/60mins X 1min/60s
= (75X1000) / (0.621X60X60) meter per second
= 75000/2235.6 meter per second
= 33.55 meter per second
∴ Distance D = 33.55 meter per second X 5 seconds
= 167.75 meters
Answer:
that looks hard im sorry cant do that
Step-by-step explanation:
A, D, F is the correct answers! Have a Merry Christmas!
