Answer:
x=8
Step-by-step explanation:
1
(x+2)=
2
1
(x−4)
Use the distributive property to multiply
5
1
by x+2.
5
1
x+
5
1
×2=
2
1
(x−4)
Multiply
5
1
and 2 to get
5
2
.
5
1
x+
5
2
=
2
1
(x−4)
Use the distributive property to multiply
2
1
by x−4.
5
1
x+
5
2
=
2
1
x+
2
1
(−4)
Multiply
2
1
and −4 to get
2
−4
.
5
1
x+
5
2
=
2
1
x+
2
−4
Divide −4 by 2 to get −2.
5
1
x+
5
2
=
2
1
x−2
Subtract
2
1
x from both sides.
5
1
x+
5
2
−
2
1
x=−2
Combine
5
1
x and −
2
1
x to get −
10
3
x.
−
10
3
x+
5
2
=−2
Subtract
5
2
from both sides.
−
10
3
x=−2−
5
2
Convert −2 to fraction −
5
10
.
−
10
3
x=−
5
10
−
5
2
Since −
5
10
and
5
2
have the same denominator, subtract them by subtracting their numerators.
−
10
3
x=
5
−10−2
Subtract 2 from −10 to get −12.
−
10
3
x=−
5
12
Multiply both sides by −
3
10
, the reciprocal of −
10
3
.
x=−
5
12
(−
3
10
)
Multiply −
5
12
times −
3
10
by multiplying numerator times numerator and denominator times denominator.
x=
5×3
−12(−10)
Do the multiplications in the fraction
5×3
−12(−10)
.
x=
15
120
Divide 120 by 15 to get 8.
x=8
Answer:
Compare LHS and RHS to prove the statement.
Step-by-step explanation:
Given: a + b + c = 0
We have to show that
We take LCM, simplify the terms and compare LHS and RHS. We will see that LHS = RHS and the statement will be proved.
Taking LCM, we get:
= 1
⇒
We simplify each term and then compare LHS and RHS.
Simplifying the first term:
=
=
Now, we simplify the second term we have:
=
=
Again, simplifying ,
=
= (C)
Therefore, LHS = A + B + C
=
Similarly. RHS
=
Note that if a + b + c = 0,
So, RHS =
We see that LHS = RHS.
Therefore, the statement is proved.
A positive correlation means the x and y axis are both increasing
so it starts on the bottom left and is moving towards the top right
The function represents the height of the object after t seconds is
Step-by-step explanation:
The projectile motion of an object is modeled by the function
where, v is the initial velocity of the object,
c is the initial height of the object,
t represents the time the object is in motion.
Given that v=59 ft/s and intial height is h(0)=6 ft
h(0)=6 ft
h(0)=
h(0)=c
So, c= 6
Therefore, The function represents the height of the object after t seconds is
Answer:
Step-by-step explanation:
Let the original cost be x
The shoppers get 10% of the original price
Therefore the equation to find final cost =
Discount: 10x/100
Final Cost: 90x/100
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