Answer: x=−3
Step-by-step explanation: Let's solve your equation step-by-step.
2
3
(3x+9)=−2(2x+6)
Step 1: Simplify both sides of the equation.
2
3
(3x+9)=−2(2x+6)
(
2
3
)(3x)+(
2
3
)(9)=(−2)(2x)+(−2)(6)(Distribute)
2x+6=−4x+−12
2x+6=−4x−12
Step 2: Add 4x to both sides.
2x+6+4x=−4x−12+4x
6x+6=−12
Step 3: Subtract 6 from both sides.
6x+6−6=−12−6
6x=−18
Step 4: Divide both sides by 6.
6x
6
=
−18
6
x=−3
The process of expressing w in terms of A and l is called transposition or changing the subject of the formula. The methods used to change the subject of the formula are the same as those used for solving equations.
F(-5) = 2(-5) + 1 = -9
g(-5) = (-5)^2 = 25
(f*g)(-5) = -9(25) = -225
Answer:
a) 2,650%
b) 27,400%
c) 164,900%
Step-by-step explanation:
We want to measure the percentage we would have to increase the typical value to obtain the values given in a), b) and c).
But 0.2 increased in x% equals
0.2 + 0.2(x/100) =0.2(1+x/100)
So, if we want to increase 0.2 in x%, we must multiply it by (1+x/100)
a)
We need to find the value of x such that
0.2(1+x/100) = 5.5 ⇒ (1+x/100)=5.5/0.2 ⇒ 1+x/100=27.5
⇒ x/100=26.5 ⇒ x=2,650%
b)
0.2(1+x/100) = 55 ⇒ (1+x/100)=55/0.2 ⇒ 1+x/100=275
⇒ x/100=274 ⇒ x=27,400%
c)
5.5 min = 5.5*60 s = 330
0.2(1+x/100) = 330 ⇒ (1+x/100)=330/0.2 ⇒ 1+x/100=1,650
⇒ x/100=1,649 ⇒ x=164,900%
Answer:
x<2
Step-by-step explanation:
Its a open circle which means it isn't equal to 2. The numbers are getting lower, so x is less than 2.
