Type the correct answer in the box. Write the standard form of the quadratic equation modeled by the points shown in the table b
elow.
x y
-1 14
0 7
1 4
2 5
3 10
Answer: y =
x y
-1 14
0 7
1 4
2 5
3 10
Answer: y =
1 answer:
Y =ax² + bx +c
1) Point (0,7)
7 = a*0² +b*0 +c
c = 7
y=ax² + bx + 7
2) Point (1,4)
4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------> a+b= - 3
3) Point (2, 5)
5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ----> -1=2a + b
4) a+b= - 3, ----> b= -3 - a (substitute in the second equation)
2a+b= -1
2a - 3 - a = -1, ----> a - 3 = -1, a =2
5) a+b= - 3
2 + b = -3
b = -5
y=2x² - 5x + 7
1) Point (0,7)
7 = a*0² +b*0 +c
c = 7
y=ax² + bx + 7
2) Point (1,4)
4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------> a+b= - 3
3) Point (2, 5)
5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ----> -1=2a + b
4) a+b= - 3, ----> b= -3 - a (substitute in the second equation)
2a+b= -1
2a - 3 - a = -1, ----> a - 3 = -1, a =2
5) a+b= - 3
2 + b = -3
b = -5
y=2x² - 5x + 7
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Answer:
Test statistic is 0.67
Critical value is -2.33
Step-by-step explanation:
Consider the provided information.
The formula for testing a proportion is based on the z statistic.
Were is sample proportion.
hypothesized proportion and n is the smaple space,
Random sample of 100 adults, 12% say that they own a smart watch.
A company claims that less than 10% of adults own a smart watch.
Therefore, n = 100 = 0.12
,
= 0.10
Substitute the respective values in the above formula.
Hence, test statistic = 0.67
This is the left tailed test.
Now using the table the P value is:
P(z < 0.667) = 0.7476
P-value = 0.7476
Here, P-value > α therefore, we are fail to reject the null hypothesis.
Hence, Critical value is -2.33