Can you show us how to find the discriminant of the quadratic x^2 + 2x -2 =0

Answers

Answer 1

Answer: Step #1:
Make sure the equation is in the form of [ Ax² + Bx + C = 0 ].

Yours is already in that form.
A = 1
B = 2
C = -2

Step #2:
The 'discriminant' for that equation is [ B² - 4 A C ].
That's all there is to it, but it can tell you a lot about the roots of the equation.

-- If the discriminant is zero, then the left side of the equation is a perfect square,
and both roots are equal.

-- If the discriminant is greater than zero, the the roots are real and not equal.

-- If the discriminant is less than zero, then the roots are complex numbers.

The discriminant of your equation is [ B² - 4 A C ] = 2² - 4(1)(-2) = 4 + 8 = 12

Your equation has two real, unequal roots.

Answer 2

Answer: $the\ discriminant\ of\ the\ quadratic\ ax^2+bx+c=0\n\n\Delta=b^2-4\cdot a\cdot c\n-------------------------\n\n x^2 + 2x -2 =0\n\n\Delta=2^2-4\cdot1\cdot(-2)=4+8=12\n\ndiscriminant=12$

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Rewrite the expression using the distributive property. 8(4x+6y-3z)

Answers

All you need to do is distribute the 8 into each of the terms in the parenthesis.

Your equation will then become

32x + 48y - 24z

When there is a number outside the parenthesis, you multiply. So we have multiply everything in the parenthesis with 8. Which is equal to 8 (4x) 8 (6y) 8(-3z) = 32x + 48y - 24z.

Hey, I'm a bit rusty on math. Please provide an answer with an explanation :-) $(1)/(x+4) - (1)/(x+5) = (1)/(12)$ where $x_(1) \leq x_(2)$

Answers

$x_(1) =-8 \n x_(2) = -1$

What is multiplication properties. Example a number line that goes from 0-27. Using numbers 6,7,8 and 9.

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They are the commutative, associative, multiplicative identity and distributive properties.

Commutative property: For example 6 * 7 = 7 * 6;

Associative Property: For example (7 * 8) * 9 = 7 * (8 * 9);

Multiplicative Identity Property: For example 6 * 1 = 6 or, 1 * 6 = 6;

Distributive property: For example 6 * ( 7 + 8) = 6 * 7 + 6 * 8 or, ( 7 + 8) * 6 = 7 * 6 + 8 * 6.

Each sales associate at an electronics store has a choice of the two salary options shown below:-$115 per week plus 9.5% commission on the associate's total sales
-$450 per week with no commission

The average of the total sales amount for each associate last year was $125,000. Based on this average, what is the difference between the two salary options each year? (52 weeks = 1 year) (10 POINTS)

Answers

$450 x 52 weeks = $23400

$115 x 52 weeks = $5980

125000 x 0.095 = 11875

11875 + 5980 = 17855

23400 - 17855 = 5545

The difference is $5545

Name four points that are not coplanar

Answers

Answer: U, W, Z and Y

Step-by-step explanation:

4 points are not coplanar if there does not exist any plane that contains the 4 points.

So, a plane is formed by a line and one point outside of it.

Then, we want to select the last point in such a way that it lies outside of the plane generated by the first 3 points selected.

For example:

If first we select Point U and Point W, we will have a line, as shown in the image.

Now we can select the Point Z, that is outside the line, and now we have the plane M that you can see in the image.

Now we need to select a point that is not in the plane, the only two options are Point X and Point Y, we can select any of those two, let's take the Point Y.

So, here we have that:

Points U, W, Z and Y are not coplanar.

Which of the following statements is always true of similar polygons?A. Corresponding angles of similar figures have the same measure.

B. The lengths of corresponding sides form equivalent ratios.
C. The lengths of corresponding sides have the same measure.
D. both (a) and (b)

Answers

In this question, there are two correct choices. The corresponding angles of a similar figures have the same measure and the lengths of corresponding sides form equivalent ratios will be the correct choices.

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