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Eddi Din [679]
3 years ago
13

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

Quadratic formula: x = -b
Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

Answer:

shows correct substitution of the values a, b, and c  from the given quadratic equation    into quadratic formula.

Step-by-step explanation:

Given: The quadratic equation

We have to show the correct substitution of the values a, b, and c from the given quadratic equation    into quadratic formula.

The standard form of quadratic equation is  then the solution of quadratic equation using quadratic formula is given as

Consider the given  quadratic equation

Comparing with general  quadratic equation, we have

a = -3 , b = -2 , c = 6

Substitute in quadratic formula, we get,

Simplify, we have,

Thus,  and x_{2}=\frac{2-\sqrt{76} }{-6}

Simplify, we get,

Thus,  shows correct substitution of the values a, b, and c  from the given quadratic equation    into quadratic formula.

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Suppose g(x) = f(x-2) + 3. Which statement best compares the graph of g(x)
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Answer:

The graph of g(x) is f(x) translated 3 units up.

4 0
4 years ago
In a math class with 29 students, a test was given the same day that an assignment was due. There were 22 students who passed th
Phoenix [80]

4/29 is the probability that a student who did not complete the homework passed the test.

<u>Step-by-step explanation:</u>

It is given that,

There are 29 students in a math class.

Two types of students who passed the test and are not passed the test.

The other two types of students are who completed the assignment and did not complete the assignment.

So, the given data can be formed as a table.

  • There were 22 students who passed the test.
  • There were 20 students who completed the assignment.
  • There were 18 students who passed the test and also completed the assignment.

                                         Passed the test     Not passed the test    Total

Completed assignment        18                             -                             20

Not completed assignment   x                             -                                -

Total                                       22                           -                               29

Now, you need to find the probability that a student who did not complete the homework passed the test.

⇒ No.of students completed assignment passed the test / Total students.

<u>To find the no.of students completed assignment passed the test :</u>

Let 'x' is the no.of students completed assignment passed the test.

⇒ 18+x = 22

⇒ x = 22 - 18

⇒ x = 4

∴ P(students completed assignment passed the test) = 4 / 29.

4 0
3 years ago
It takes 3 1/3 kilometers of thread to make 3 1/2 boxes of shirts. How many kilometers of thread will it take to make 6 boxes?
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... L/(6 boxes) = (3 1/3 km)/(3 1/2 boxes)

Multiplying the equation by (6 boxes), we get

... L = (3 1/3 km)(6/(3 1/2)) = (10/3 km)(6/(7/2))

... = (10/3 km)(12/7) = 40/7 km = 5 5/7 km

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Answer:

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Step-by-step explanation:

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