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Black_prince [1.1K]
3 years ago
6

Use the discriminant to decide how many solutions the given equation will have. Show all work for credit. 6x^2-2x=3

Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

Answer:

two real, unequal roots.

Step-by-step explanation:

I will assume that you meant  6x^2 - 2x = 3, which is equivalent to

6x^2 - 2x - 3 = 0.  The coefficients are a = 6, b = -2 and c = -3.

The discriminant is b^2 - 4ac, which here is

(-2)^2 - 4(6)(-3) = 4 + 72 = 76

Because the discriminant is + we can conclude that the given equation has two real, unequal roots.

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5 0
3 years ago
Why is 3 to the power 0 = 1
Nostrana [21]
When we raise something to a power, it really justs means we are multiplying it by itself. 3^2 (3 to the power of 2) means that we are mutliplying 3 by itself: 3•3 = 9 or 3^2 = 9 (there are two 3's) 

However, when we rasie something to the 0 power, it equals 1. That is because we are multiplying it by itself 0 times. We are not multiplying it by zero, we are effectively doing nothing at all. 3^0 = 1
4 0
3 years ago
The Taylor family went on vacation. They traveled 412 miles on Monday. At the end of the day Tuesday, the average speed of the c
mixer [17]

Answer:

d = 56x + 412

Step-by-step explanation:

To find the total number of miles traveled on Monday and Tuesday, use a linear equation to write the function.

y = mx+b where m is the speed or rate of change and b is the starting point.

The starting point on Tuesday is 412 miles. This is b.

The number of miles traveled on Tuesday is found by calculating 56 miles times the number of hours traveled.  This is the slope or m.

So the equation is d = 56h + 412.

7 0
3 years ago
(ab² + 13b - 4a) + (3ab² + a +7b)
Natalija [7]

Answer:

4ab² + 20b - 3a

Step-by-step explanation:

This question most likely asks us to simplify the expression, as factoring is not possible...

(ab² + 13b - 4a) + (3ab² + a + 7b),

ab² + 13b - 4a + 3ab² + a + 7b,

ab² + 3ab² + 13b + 7b - 4a + a,

Solution : 4ab² + 20b - 3a

4 0
3 years ago
Simplify: -16b4 + (-18b4)
GuDViN [60]

Answer:

-34b4

Step-by-step explanation:

Since the variables are the same b4, you just add the constants (-16 & -18).

4 0
2 years ago
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