Solve the following for x:
1 answer:
Step-by-step explanation:
2x(squared)+9x+9=—1
2x(squared)+9x+9+1=0
2x(squared)+9x+10=0
multiply the coefficient of x and 10=2x10=20
2x(squared)+9x+10=0
look for two numbers that when added gives 9and when multiplied gives 20
2x(squared)+5x+4x+10=0
(2x(squared)+5x)+(4x+10)=0
find the number and letters that are common in the equations
x(2x+5)+2(2x+5)=0
(x+2) (2x+5)=0
x+2=0
collect like terms
x=0-2
x=-2
2x+5=0
collect like terms
2x=0-5
2x=-5
divide both sides by 2
2x/2=-5/2
x=-5/2
so x=-2 and -5/2
You might be interested in
Answer:
a+4=
Step-by-step explanation:
The starting amount is $50. The decay rate is 25%.The equation for this problem is f(x)=50(.25)^x
Also if you need the answer to the equation it is that the video game will be worth $0.
(33)(1/9•2-6+2)
18-6+2=14
33•1/14 = 33/14
The answer is 33/14 or 2.35714
Option b is the better deal
Answer:
a. b=4
Step-by-step explanation:
![\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%5Cdfrac%7B1%7D%7B%5Ccos%20%5Ctheta%7D%20%3D%20%5Cdfrac%7BHypotenuse%7D%7BAdjacent%7D)
From the attached triangle drawn below:
NL=20, LM=3b, ![\angle L=x^\circ](https://tex.z-dn.net/?f=%5Cangle%20L%3Dx%5E%5Ccirc)
![\sec x =\dfrac{20}{3b}](https://tex.z-dn.net/?f=%5Csec%20x%20%3D%5Cdfrac%7B20%7D%7B3b%7D)
Since we are told that:
![\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4](https://tex.z-dn.net/?f=%5Csec%20x%20%3D%5Cdfrac%7B5%7D%7B3%7D%5C%5C%24Then%3A%5C%5C%5Cdfrac%7B20%7D%7B3b%7D%20%3D%5Cdfrac%7B5%7D%7B3%7D%5C%5C%24Cross%20multiply%5C%5C5%20%5Ctimes%203b%20%3D20%20%5Ctimes%203%5C%5C15b%3D60%5C%5C%24Divide%20both%20sides%20by%2015%5C%5C15b%20%5Cdiv%2015%20%3D60%20%5Cdiv%2015%5C%5Cb%3D4)
The correct option is A.