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kirza4 [7]
3 years ago
13

Match the range of the function f(x) = x2 2x − 1 to its domain.

Mathematics
1 answer:
Ivan3 years ago
7 0
F(x) = x^2 + 2x -1

Domain all real number

Range: all real numbers equal or greater than -2.

To find the range you need to find the vertex of the parabole, which is (-1,-2) and use the fact that, given that the coefficient of x^2 is positive, the funcion open upwards (which means that the vertex is a global minimum).

To find the vertex you use the quadratic formula to find the roots and then the x-coordinate of the vertex is in the middle of the two roots.
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3 years ago
Find the area of the figure
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Answer:

64 meters^2

Step-by-step explanation:

Break the shape into small parts:

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3 0
2 years ago
An urn contains a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles d
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Answer:

We  can reject the hypothesis at the 0.05 significance level.

 

Step-by-step explanation:

given that an urn contains  a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles drawn at random from the urn revealed 2 red, 5 orange, 4 yellow, and 1 green marble.

H0: All colours are equally likely

Ha: atleast two colours are not equally likely

(Two tailed chi square test at 5% significance level)

color                  Red           Orange      Yellow      Green         total

Observed  O         2                     5                  4           1              12    

Expected   E         3                     3                   3          3              12

(O-E)^2/E             0.3333            5.3333        0.3333  5.3333     11.3333

chi square = 11.3333

df =3

p value = 0.010055

Since p < 0.05 we reject H0

We  can reject the hypothesis at the 0.05 significance level.

 

3 0
3 years ago
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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ipn [44]
7 4-credit classes. 4 3-credit classes.

7*4 = 28, and 4*3 = 12. 11 classes, and 40 credits.
3 0
3 years ago
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