Answer:
106.8
Step-by-step explanation:
17 * 2 = 34
34 * pi = 106.8
The solutions to the given system of equations is (0, -6) and (1, -5)
<h3>Simultaneous equations</h3>
From the question, we are to determine the solutions to the given system of equations
The equations are
x − y = 6 --------- (1)
y = x² −6 ---------- (2)
From equation (1)
x - y = 6
∴ x = 6 + y ------- (3)
Substitute into equation (2)
y = x² −6
y = (6+y)² −6
y = (6+y)(6+y) -6
y = 36 + 6y + 6y +y² -6
y = 36 + 12y + y² - 6
Simplifying
y² + 12y - y + 30 = 0
y² + 11y + 30 = 0
Solve quadratically
y² + 11y + 30 = 0
y² + 6y + 5y + 30 = 0
y(y +6) +5 (y +6) = 0
(y + 5)(y + 6) = 0
y + 5 = 0 OR y + 6 = 0
y = -5 OR y = -6
Substitute the values of y into equation (3)
x = 6 + y
When y = -5
x = 6 + (-5)
x = 6 -5
x = 1
When y = -6
x = 6 + (-6)
x = 6 -6
x = 0
∴ When x = 0, y = -6 and when x = 1, y = -5
Hence, the solutions to the given system of equations is (0, -6) and (1, -5)
Learn more on Solving simultaneous equations here: brainly.com/question/16863577
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Answer:
D. We are 95% confident that the proportion of all Americans who say that race relations in this country are generally bad is between 58% and 64%.
Step-by-step explanation:
The 95% confidence interval refers that 95% of data is correct with respect of the population
Given that 95% confidence interval is (0.58, 0.64)
So based on this, the option D is correct as it shows the right thing with regard to 95% confidence interval
Therefore all the other options are incorrect as the first option is of probability, the second option is the sample, and the third option is of statement form i.e not standardized.
First markdown: 0.75($500) = $375
Second markdown: 0.75($375) = $281.25
Third markdown: 0.75($281.25) = $210.94
