Answer:
5a-7=24
5a=24+7
a=31/5
Step-by-step explanation:
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.
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Answer:
there will be 408$ at the end of 18 months
Step-by-step explanation:
2% of 300 is 6 and 6 x 18 = 108. 108 + 300 = 408
Answer:
All horizontal lines are NOT parallel.
Step-by-step explanation:
We learned that lines go on forever.
If one line is slightly slanted, and the other line is completely straight, these lines are not parallel, as they will meet at some point.
Hope this helped :)
The equation of the regression line is : Ŷ = 0.8571+0.8878X
Given the set of points :
(1, 2), (4,4), (9,9)
X axis : ___ Y axis
1 ___________2
1 ___________2 4 __________ 4
1 ___________2 4 __________ 4 9 __________ 9
The regression line associated could be obtained using technology such as excel, linear regression solvers or a graphing calculator.
Using technology :
Input the values of X and Y into their appropriate column and plot :
The regression equation obtained is :
Ŷ = 0.8571 + 0.8878X
Where :
Ŷ = predicted value of Y(dependent variable)
X = Independent variable
Slope = 0.8878
Intercept = 0.8571
The regression plot is attached below
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