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Lelu [443]
3 years ago
8

F(x) = 2x^2-x-1 if f(x) = -1, what is x? What point(s) are on the graph of f ?

Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer:

x = 0, x = 0.5 or 1/2 The points on the graph are ( -1/2 or -0.5,0 ) and ( 1,0 )

Step-by-step explanation:

2x^2-x-1 = -1

2x^2-x = 0

x(2x-1) = 0

x=0

x=0.5 or 1/2

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An IQ test is designed so that the mean is 100 and the standard deviation is 1414 for the population of normal adults. Find the
Amanda [17]

Answer:

37

Step-by-step explanation:

The first thing is to calculate critical z factor

the alpha and the critical z score for a confidence level of 90% is calculated as follows:

two sided alpha = (100% - 90%) / 200 = 0.05

critical z factor for two sided alpha of .05 is calculated as follows:

critical z factor = z factor for (1 - .05) = z factor for (.95) which through the attached graph becomes:

critical z factor = 2.58

Now we have the following formula:

ME = z * (sd / sqrt (N) ^ (1/2))

where ME is the margin of error and is equal to 6, sd is the standard deviation which is 14 and the value of z is 2.58

N the sample size and we want to know it, replacing:

6 = 2.58 * (14 / (N) ^ (1/2))

solving for N we have:

N = (2.58 * 14/6) ^ 2

N = 36.24

Which means that the sample size was 37.

5 0
3 years ago
1.5x+0.75y what does x variable
Illusion [34]

Answer:

1.5

Step-by-step explanation:


3 0
3 years ago
What is the equation of a line, in general form, that passes though points (-1,2) and (5,2)?
Tom [10]

Answer:

A

Step-by-step explanation:

To write the equation of the line. first calculate the slope using the slope formula.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{2-2}{5--1}= \frac{0}{6} = 0

Since the slope of this line is 0, it is horizontal and has the form y=b where b is the y-coordinate. So y = 2 is the equation. In general form, it would be y-2 = 0

3 0
3 years ago
The sum of two numbers is 22. The difference is 6. What are the two numbers?
algol [13]

Answer:

Numbers are 14 and 8

Step-by-step explanation:

Let the 2 numbers be x and y.

Write 2 equations:

x + y = 22

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Solve by substitution:

x - y = 6

x = y + 6

Plug into the other equation:

(y + 6) + y = 22

2y + 6 = 22

2y = 16

y = 8

Plug into either equation:

x + 8 = 22

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7 0
3 years ago
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