3u^2+8u-3
with grouping, we have to find 2 numbers which add up to 8 and multiply to 3*(-3)= -9.
testing, we find that 9 and -1 add up to 8 and multiply to -9.
so now we can write the original equation as
3u^2-u+9u-3
you can factor the terms in pairs:
u(3u-1)+3(3u-1)=
(u+3)(3u-1)
Amy can wash 75 cars in 12 hours, Roger can wash 64 cars in 12 hours.
so therefore 75+64 =139
together they can wash 139 cars in 12 hours
Caitlin = 20 laps
Hannah = 4/5 as many laps
Multiply the laps swan by Caitlin (20) by 4/5
20 x 4/5 = 80/5 = 16
Hannah swam 16 laps
The force the same object will exert if it accelerates at a rate of 7 m/s² is 35N
From the question,
We are to determine the force the object will exert.
From the information,
Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object
Let acceleration be a
and
Force be F
Then we can write that,
F ∝ a
Then,
Introducing the constant, mass, m
We get
F = ma
Now, we will determine the mass of the object
F = 15 N
a = 3 m/s²
Putting the parameters into the formula, we get
15 = m × 3
∴ m = 15 ÷ 3
m = 5 kg
The mass of the object is 5 kg.
Now, to determine the force the same object will exert if it accelerates at a rate of 7 m/s²
That is,
a = 7 m/s²
and
m = 5 kg
Putting the parameters into the formula, we get
F = 5 × 7
F = 35 N
Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35N
Learn more here: brainly.com/question/13590154
