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
Answer:
1. 16
2. -4
Step-by-step explanation:
First factor the expression
lim x→1 (x^3 + 5x^2 + 3x-9)/(x-1)
lim x→1 (x-1) (x+3)^2/(x-1)
Canceling the x-1 in the top and bottom
lim x→1 (x+3)^2
Let x=1
lim x→1 (1+3)^2 = 4^2 = 16
2. lim x→0 (x^2 -6x+8) /(x-2)
First factor the expression
lim x→0 (x-4) (x-2) /(x-2)
Canceling the x-2 in the top and bottom
lim x→0 (x-4)
Let x=0
lim x→0 (0-4) = -4
Filling in the table
x -.1 -.01 -.001 .001 .01 .1
f(x) -4.1 -4.01 -4.001 -3.999 -3.99 -3.9
1/2 mile farther from the school then from the ballpark
Answer:
The volume of paint that covers the whole car is 
gallons or one and a quarter gallons.
Step-by-step explanation:
Let the volume of paint required to cover whole car be 'x'.
Given:
Volume of paint to cover one-fifth of a car = one-fourth of a gallon.
We use unitary method to determine the volume of paint required.
∵ One-fifth of a car requires paint = 
∴ Whole volume of car requires paint = 
Therefore, the volume of paint that covers the whole car is gallons or one and a quarter gallons.
12⁷/₁₂ - 5¹⁴/₅
12⁷/₁₂ - 7⁴/₅
12³⁵/₆₀ - 7⁴⁸/₆₀
11⁹⁵/₆₀ - 7⁴⁸/₆₀
4⁴⁷/₆₀
