Hours to paint one room
<span>Jake: t hours </span>
<span>Lionel: t-2 hours </span>
<span>Wayne: (1.5)(t-2) hours </span>
<span>Now who is Donald? </span>
<span>Shall we assume that by "Donald" you meant "Wayne"? </span>
<span>If t is 6 hours, then the hours to paint one room is </span>
<span>Jake: 6 hours </span>
<span>Lionel: 4 hours </span>
<span>Wayne: 6 hours </span>
<span>This means that in one hour: </span>
<span>Jake can paint 1/6 of a room, </span>
<span>Lionel can paint 1/4 of a room, </span>
<span>Wayne can paint 1/6 of a room. </span>
<span>Added together, the three of them can paint (1/6 + 1/4 + 1/6) = 7/12 of a room in one hour.</span>
Answer:
The factors of x^3+2x^2+5x+10 are (x^2+5)(x+2)
Step-by-step explanation:
x^3+2x^2+5x+10
Group the expression by two:
=(x^3+2x^2)+(5x+10)
Factor out GCF in each group.
=x^2(x+2)+5(x+2)
Note:(The binomials in parentheses should be the same, if not the same... there is an error in the factoring or the expression can not be factored.)
Now factoring out the GCF which basically has you rewrite what is in parentheses and place other terms left together:
=(x^2+5)(x+2)
Thus the factors of x^3+2x^2+5x+10 are (x^2+5)(x+2)....
Answer:
Length=17
Width=4
Step-by-step explanation:
Length=x
Width=2x-30
x(2x-30)=68
2x²-30x=68
2x²-30x-68=0
2(x²-15x-34)=0
2(x+2)(x-17)=0
So x equals either 17 or -2. Since it can’t be -2, x=17
Length=x=17
Width=2x-30=2*17-30=34-30=4
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 8 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
, thus
y = - x + c ← is the partial equation
To find c substitute (6, - 6) into the partial equation
- 6 = - 3 + c ⇒ c = - 6 + 3 = - 3
y = - x - 3 ← equation of line k
