The answer is x=-2
As you could see, this is a factored function.
The un-factored version is x^2+4x-12
-b/2a=x
-4/2=-2= x of vertex
Answer:
60
Step-by-step explanation:
Set up a ratio problem
15/25 = 36/x
15x = 900
x = 60
Answer:
12
Step-by-step explanation:
5(x-6)=2(x+3)
multiply
5*x and 5*6. 2*x and 2*3
5x-30=2x+6
minus 5x and 2x
3x-30=6
add 30 to 6
3x=36
divide both sides by 3 and the 3x cancels so 36÷3
x=12
Answer:
Cost of 45 screwdrivers will be = $900
Step-by-step explanation:
Last year 15 electric screwdrivers cost to the local hardware store = $300
So per screwdriver cost = 
= 
= $20
Now we have to calculate the cost of 45 screw drivers.
Since cost of 1 screwdriver = $20
So cost of 45 screwdrivers = 20×45 = $900
Answer:
since -3.73 is less than 1.645, we reject H₀.
Therefore this indicate that the proposed warranty should be modified
Step-by-step explanation:
Given that the data in the question;
p" = 13/20 = 0.65
Now the test hypothesis;
H₀ : p = 0.9
Hₐ : p < 0.9
Now lets determine the test statistic;
Z = (p" - p ) / √[p×(1-p)/n]
= (0.65 - 0.9) /√[0.9 × (1 - 0.9) / 20]
= -0.25 / √[0.9 × 0.1 / 20 ]
= -0.25 / √0.0045
= -0.25 / 0.067
= - 3.73
Now given that a = 0.05,
the critical value is Z(0.05) = 1.645 (form standard normal table)
Now since -3.73 is less than 1.645, we reject H₀.
Therefore this indicate that the proposed warranty should be modified
