use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?
1 answer:
The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.
The graph is attached below.
- We are given a quadratic function.
- A polynomial equation of degree two in one variable is a quadratic equation.
- The function given to us is :
- y = x² - 5x - 36
- We need to find the solution of the quadratic function.
- To find the roots, let y = 0.
- x² - 5x - 36 = 0
- Use the quadratic formula.
- In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
- x = [-b±√b²-4ac]/2a
- x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
- x = (5 ± √25 + 144)/2
- x = (5 ± √169)/2
- x = (5 ± 13)/2
- x = 9 or x = -4
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Answer:
Option E) 2.68; The regression line under predicts the student's English test score.
Step-by-step explanation:
We are given the following information:
The IQ scores and English test scores of fifth grade students is given by the regression line
where y is the predicted English score and s is the IQ score.
Here English score is the predicted variable that is the dependent variable and the IQ score is the independent variable and plays the role of predictor.
An actual English test score for a student is 65.7 with an IQ of 96. We have to predict the English score with the help of regression equation.
Predicted or interpreted English score =
Thus, predicted English score is 63.0216.
Observed value of English score at IQ 96 is 65.7
Residual = Observed value - Predicted value
=
Since the predicted value is less than the original or observed value we can say that the regression line under predict the English score.
Option E) 2.68; The regression line under predicts the student's English test score.
Answer:
8 ft
Step-by-step explanation:
the ladder will make a right angle triangle with the house. The hypotenuse of the triangle is the ladder, 20 ft, and the height of the triagnle is 18 ft.
Solve for the base of the right angle triangle using pythagorean's theorem:
c=20, a=18, b=?
round to the nearest foot,
b = 8 ft