The answer would be 39/40.

1. Find the LCD of both of the fractions (LCD = 40)

2. Make the denominators the same as LCD (The LCD would be 40)

3. Simplify (24/40 + 15/40)

4. Join the denominators (24 + 15/40)

5. Simplify (39/40)

In decimal form its 0.975.

5 0

4 years ago

Which table represents a linear function?

Romashka-Z-Leto [24]

Answer:

1st one

Step-by-step explanation:

Since the x's for each one are going up by the same number, you are looking for a column of y's to either by going up by the same number or down by the same number.

The first table has a column of y's that look like this: 1/2 , 1 , 1 1/2, 2

This is actually going up for 1/2 each time.

This table shows a linear function.

8 0

3 years ago

Determine the discriminant for the quadratic equation -3 = x^2+4x+1 . Based on the discriminant value, how many real number solu

djverab [1.8K]

Answer:

1 real

Step-by-step explanation:

The discriminant is:

$b^2-4ac$

which comes from the quadratic formula.

The rules are:

If the discriminant is > 0, there are 2 real solutions

If the discriminant is = 0, there is 1 real solution

If the discriminant is < 0, there are 2 imaginary solutions

(there are 2 other situations involving square roots, but these are the most basic ones in Algebra 2 books when you study quadratics)

First, we have to get that quadratic in standard form, which means getting everything on one side of the equals sign and setting it equal to 0:

$x^2+4x+4 = 0$

where a = 1, b = 4, c = 4

Filling in the discriminant:

$4^2-4(1)(4)$

gives us

16 - 16 = 0

Therefore, our quadratic has one real solution. Factor it and see if you'd like, to prove that it is true.

7 0

3 years ago