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vesna_86 [32]
3 years ago
6

The discriminant for the equation f(x)=6x^(2)-x+c is 73. What is the value of c?

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

c = -3

Step-by-step explanation:

The discriminant  is 73, that means we have:

(-1)^2-4*6*c=73

then: 1-24c=73

or -24c= 73 -1

-24c = 72

Then c = 72/-24= -3

The answer is -3

Hope that useful for you.

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All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be
Aneli [31]

Answer:

There is a 2% probability that the student is proficient in neither reading nor mathematics.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student is proficient in reading

B is the probability that a student is proficient in mathematics.

C is the probability that a student is proficient in neither reading nor mathematics.

We have that:

A = a + (A \cap B)

In which a is the probability that a student is proficient in reading but not mathematics and A \cap B is the probability that a student is proficient in both reading and mathematics.

By the same logic, we have that:

B = b + (A \cap B)

Either a student in proficient in at least one of reading or mathematics, or a student is proficient in neither of those. The sum of the probabilities of these events is decimal 1. So

(A \cup B) + C = 1

In which

(A \cup B) = a + b + (A \cap B)

65% were found to be proficient in both reading and mathematics.

This means that A \cap B = 0.65

78% were found to be proficient in mathematics

This means that B = 0.78

B = b + (A \cap B)

0.78 = b + 0.65

b = 0.13

85% of the students were found to be proficient in reading

This means that A = 0.85

A = a + (A \cap B)

0.85 = a + 0.65

a = 0.20

Proficient in at least one:

(A \cup B) = a + b + (A \cap B) = 0.20 + 0.13 + 0.65 = 0.98

What is the probability that the student is proficient in neither reading nor mathematics?

(A \cup B) + C = 1

C = 1 - (A \cup B) = 1 - 0.98 = 0.02

There is a 2% probability that the student is proficient in neither reading nor mathematics.

6 0
3 years ago
A rock is dropped from a height of 25 feet. The function h=-16t^2 +25 gives the height h of the rock after t seconds. When does
scZoUnD [109]

Answer:

5 seconds

Step-by-step explanation:

The ground is 25 eet, so 25=-16t^2+400

-16t^2=-400, 16t^2=400

t^2=25, dividing both sides by 16

t=5 seconds.

3 0
3 years ago
Sarfcae area is the _______ of all the _____________of the faces of a three diamentsilal figure.
Leya [2.2K]

Answer:

The sum of the areas of all the surfaces (faces) of a three-dimensional figure.

Step-by-step explanation:

3 0
3 years ago
If 6:2=8:x, then<br><br> 6x = 16<br> 6x = 10<br> 2x = 48<br> 2x = 14
Talja [164]
The answer is 6x = 16
3 0
3 years ago
what is the formula for calculating the circumference, C, of a circle, if you know pi and the diameter
Karolina [17]

Answer: The formula for calculating the circumference is C = pie(d)

or you could also use C = 2(pi)r squared.

8 0
3 years ago
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