Answer:
D
Step-by-step explanation:
To obtain vertex form from the given equation use the method of completing the square
given 8y + x² = - y² - 181 + 26x
rearrange having the x terms and y terms together
add y² to both sides
8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )
x² - 26x + y² + 8y = - 181
add (half the coefficient of the x/y terms )² to both sides
x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16
completing the square on both the x and y terms
(x - 13)² + (y + 4)² = 4 → D
Answer:
Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Step-by-step explanation:
Null Hypothesis [H0] : u < 250
Alternate Hypothesis [H1] : u > 250 {One Tail}
t = (x' - u) / [ sd / √n ]
= (255 - 250) / (5.6 / √20)
5 / (5.6 /√20)
= 3.99
As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.
Find the Vertex Form
y = -(x-3)^2-1
Answer:
E. the product of seven and the difference of b minus two
Step-by-step explanation:
7(b-2)
seven is being multiplied by the difference of b minus 2
So this can be written as the product of seven and the difference of b minus two.
Reasons its not the other answer choices
A. two subtracted from the quotient of seven divided by b would be (7/b) - 2
B. seven added to difference of b minus two would be 7 + (b-2)
C. the quotient of seven divided by b minus two would be 7/(b-2)
D. two subtracted from seven times b would be 7b - 2
Key Vocabulary:
<em>Difference = Subtraction</em>
<em>Product = Multiplication</em>
<em>Quotient = Division </em>
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