We have that
-7x-60=x²<span>+10x
</span>x²+10x+7x=-60
x²+17x=-60
(x²+17x+8.5²)=-60+8.5²
(x+8.5)²=12.25
(+/-)(x+8.5)=√12.25--------> (+/-)(x+8.5)=3.5
(+)(x+8.5)=3.5------> x=-5
(-)(x+8.5)=3.5------> x=-12
therefore
(x+5)*(x+12) is equivalent to -------> -7x-60=x²+10x
the answer is
(x+5)*(x+12)
Answer:
it's a B because it's the best answer for this quistion like they are saying IF I do this Then this should happen
Answer:
25%
Step-by-step explanation:
Let us first derive an equation for the productivity.
Given
No. of houses = 1 (Assumption)
Amount of Chemicals = 30 (10 x A, B, C)
Now the formula for productivity is as follow
Productivity % (P) = (Output/Input) * 100
Assuming the current productivity is 100%. We get the value for required output but using the value of 30 (Amount of Chemicals) as Input

Since we now know the value for desired output. We replace the value of input by 40, since 10 lbs of Chemicals have been increased per house.

The new Productivity is 75%
There is a reduction of 25% in productivity
Not sure about the last question
Answer:
Step-by-step explanation:
Given is a function as 
Equating to 0 we have equation
If the function f(x) has x intercepts then the solutions are real
Let us use remainder theorem and change of signs rule
f(0) = 1>0
f(-1) = -1+3+1=3
f(-2) = -32+6+1<0
This implies there is a real root between -1 and -2.
f(1) = -1
Since f(0) and f(1) have different signs, there exists a real root between 0 and 1.
f(2) = 32-6+1>0
Since f(1) and f(2) have different signs there exists a real root between 1 and 2.
Thus there are definitely three real solutions as
one between -1 and 0, one between 0 and 1, and third between 1 and 2.