Answer:
a) parabola opens upwards
b) y-intercept y = 2
c) x₁ = 1 x₂ = 2
Step-by-step explanation:
y = x² - 3x + 2
This parabola is open upwards since the coefficient of x² is positive (1)
b) y-intercept is when x = 0 then
y = (0)² - 3*(0) + 2
y-intercept y = 2
to determine zeros, we can proceed as follows
x² - 3x + 2 = 0
Factoring that xpression
( x -1 ) * ( x - 2 ) = 0
Then either x- 1 = 0 and x₁ = 1 or
x - 2 = 0 and x₂ = 2
Answer:
The raw score for his exam grade is 99.69.
Step-by-step explanation:
Given : The professor announced that the mean for the class final exam was 88 with a standard deviation of 7. Given Daniel's z score of 1.67.
To find : What is the raw score for his exam grade?
Solution :
The formula use to find the z-score is

Where, z=1.67 is the z-score
is the means
is the standard deviation
x is the raw score for his exam grade
Substitute the values,





Therefore, the raw score for his exam grade is 99.69.
Answer:
1. 80 yd
2. 10 and 10 of the other side
3. yes
Step-by-step explanation:
1. As we were asked to stay 240 feet away, and we will be on a soccer field and it has marked distances in yards we just have to pass our feet to yards.
1 ft = 1/3 yd
240 ft = 240/3 yd
240 ft = 80 yd
2. one would have to stand in yard 10 and the other in yard 10 but from the other side of the field
50-10 = 40
40 + 40 = 80 yd
3.
if they are diagonally the distance will be greater than 80, since the yards are parallel, because only the distance would remain only if they are on the same height
Answer:
0
Step-by-step explanation:
there is only blue marbles, yellow marbles, and red marbles. there are no purple marbles so you’d be unable to pull out a purple one no matter how many times you tried. so the probability would be 0
The type of polynomial that would best model the data is a <em>cubic</em> polynomial. (Correct choice: D)
<h3>What kind of polynomial does fit best to a set of points?</h3>
In this question we must find a kind of polynomial whose form offers the <em>best</em> approximation to the <em>point</em> set, that is, the least polynomial whose mean square error is reasonable.
In a graphing tool we notice that the <em>least</em> polynomial must be a <em>cubic</em> polynomial, as there is no enough symmetry between (10, 9.37) and (14, 8.79), and the points (6, 3.88), (8, 6.48) and (10, 9.37) exhibits a <em>pseudo-linear</em> behavior.
The type of polynomial that would best model the data is a <em>cubic</em> polynomial. (Correct choice: D)
To learn more on cubic polynomials: brainly.com/question/21691794
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