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KatRina [158]
3 years ago
12

Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x2 + 1 into the quadratic

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer: A

Step-by-step explanation:

The first thing we need to do is to make sure our equation is in standard form. The given equation is not in standard form.

3x²-2x=0

Now that the equation is in standard form, we can find our A, B, C to see which quadratic equation is correct.

A=3

B=-2

C=0

We can automatically eliminate D because the first value is -3 when it is supposed to be -(-2). Also, the denominator is supposed to be 2a. We know that A=3. The denominator should be 2(3), not 2(-2).

Next, we can eliminate B and C. For the 4ac, we know it has to be 4(3)(0) because A=3 and C=0. B and C have given 4(3)(2) and 4(3)(1), respectively. This does not match A=3 and C=0.

Therefore, A is the correct answer.

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All rectangles have four right angles and opposite sides that are equal in length and parallel.
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C. The bottom answer.

Step-by-step explanation:

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zaharov [31]

Answer:

angle B = 33.42

Step-by-step explanation:

take angle B as reference angle

using tan rule

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tan B = 0.66

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Solve the equation 5+7 | 2x-1 | = -44
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The easy part is isolating the absolute-value term:

5 + 7 |2<em>x</em> - 1| = -44

7 |2<em>x</em> - 1| = -49

|2<em>x</em> - 1| = -7

Remember that the absolute value function returns a positive number that you can think of as the "size" of that number, or the positive distance between that number and zero. If <em>x</em> is a positive number, its absolute value is the same number, |<em>x</em>| = <em>x</em>. But if <em>x</em> is negative, then the absolute value returns its negative, |<em>x</em>| = -<em>x</em>, which makes it positive. (If <em>x</em> = 0, you can use either result, since -0 is still 0.)

The important thing to take from this is that there are 2 cases to consider: is the expression in the absolute value positive, or is it negative?

• If 2<em>x</em> - 1 > 0, then |2<em>x</em> - 1| = 2<em>x</em> - 1. Then the equation becomes

2<em>x</em> - 1 = -7

2<em>x</em> = -6

<em>x</em> = -3

• If 2<em>x</em> - 1 < 0, then |2<em>x</em> - 1| = - (2<em>x</em> - 1) = 1 - 2<em>x</em>. Then

1 - 2<em>x</em> = -7

-2<em>x</em> = -8

<em>x</em> = 4

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Step-by-step explanation:

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