Answer:
<u>Option D. The student is completely incorrect because there is no solution to this inequality. </u>
Step-by-step explanation:
<u>The question is as following:</u>
A student found the solution below for the given inequality.
|x-9|<-4
x-9>4 and x-9<-4
x>13 and x<5
Which of the following explains whether the student is correct?
A. The student is completely correct because the student correctly wrote and solved the compound inequality.
B. The student is partially correct because only one part of the compound inequality is written correctly.
C. The student is partially correct because the student should have written the statements using “or” instead of “and.”
D. The student is completely incorrect because there is no solution to this inequality.
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Given: |x-9| < -4
We should know that the out put of modulus always will be greater than or equal to zero.
So, The inequality always will not be true (unlogic condition)
So, There is no solution to this inequality.
The answer is option D
D. The student is completely incorrect because there is no solution to this inequality.
The answer is 3a + 2b + 8
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
brainly.com/question/25841119
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Answer:
-1.07
Step-by-step explanation:
–0.4(3x – 2) + 2x+4/3
–0.4(24 – 2) + 8+4/3
–0.4(24 – 2) + 8+4/3
-9.6-0.8+8+1.33
-2.4+1.33
-1.07
