9514 1404 393
Answer:
- y-intercept: (0, -6)
- x-intercepts: (-3, 0), (-1, 0), (1, 0)
Step-by-step explanation:
We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.
f(x) = (2x^3 +6x^2) -(2x +6)
f(x) = 2x^2(x +3) -2(x +3)
f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)
The factors are made to be zero when x is 1, -1, or -3.
The x-intercepts are (1, 0), (-1, 0), (-3, 0).
The y-intercept is the constant, -6.
Answer:
The probability is 
Step-by-step explanation:
From the question we are told
The population proportion is 
The sample size is 
The number of graduate who had job is k = 209
Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

Generally the standard deviation of this sampling distribution is

=> 
=> 
Generally the sample proportion is mathematically represented as

=> 
=> 
Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as


From the z table the area under the normal curve to the left corresponding to -3.022 is

=> 
Answer:
the new price of the t-shirt is $24.84
Step-by-step explanation:
The computation of the new price of the t-shirt is shown below
= Price of the t-shirt × (1 + increased percentage)
= $23 × (1 + 0.08)
= $23 × 1.08
= $24.84
Hence, the new price of the t-shirt is $24.84
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Mr Wellborn arrives at work at 7:50 am. If you take 60 minutes away from 8:40 its 7:40 but take away 10 minutes and its 7:50.
The answer is B through ASA (Angle-Side-Angle) similarity criterion.