Y = x^2 + 2x - 1 = x^2 + 2x + 1 - 1 - 1 = (x + 1)^2 - 2
The vertex of a parabola given by y = a(x - h)^2 + k is (h, k).
Therefore, the vertex of y = (x + 1)^2 - 2 is (-1, -2)
Answer:
1) solution is y = -7
2.) DNE
3.) Solution is y = -2
Step-by-step explanation:
1.) 2+3 = y + 12
Add the LHS and make y the subject of formula
5 = y + 12
Y = 5 - 12
Y = - 7
The solution of the equation is - 7
2.) 2 + 13 = 1 +8
Since there is no unknown variable and the sum of the numbers in the left hand side ( LHS ) is not equal to the sum of the numbers in the right hand side ( RHS ), it will be concluded that there is no solution in the equation.
3.) y - 7 = 2 - 11
Sum the RHS and make y the subject of formula
Y - 7 = -9
Y = -9 + 7
Y = -2
The solution of the equation is -2
Answer:
A regular 12-oz beer is about 5% alcohol. This works out to about 14.03 grams of alcohol per beer. If the driver drank two beers, how many grams of alcohol did he consume? <u>28.06 grams</u>
The driver weighs about 160 lbs. What is his body weight in kg? What is his body volume in mL? (1 lb = 0.45 kg) (1 kg = 1000 mL) <u>72.57 kg/72,560 mL</u>
For most males, 68 percent of the body is water. What is the volume of water in the driver’s body in mL? <u>49,350 mL</u>
Use the above information to calculate BAC. <u>0.0569%</u>
The measured BAC was 0.12%. Was the driver telling the truth about how much he drank? Calculate the difference between the two BAC percentages. <u>No. 0.0569% is different.</u>
If the driver had really consumed only two beers, would he have been arrested for DUI? Explain. <u>The driver would not have been arrested if he only had two beers. He more or less had more than two beers in his car when the police checked his car.</u>
Step-by-step explanation:
the underlined areas are your answers.
Answer:
Yes
Step-by-step explanation:
Given that in the June 2007 issue, Consumer Reports also examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type.
The difference in mean values test gave a p value of 0.32
Confidence level = 95%
Alpha = 1-0.95 = 0.05
Compare p with alpha, here p >alpha
Hence we accept null hypothesis that there is no difference in the means.
Confidence interval method also will yield the same result. i.e. confidence interval for difference of means would definitely contain 0 at 95% conf level.
So answer is yes
