All categories

3 years ago

Use the discriminant to determine the nature of the roots of the following equation. y^2 - 5y - 3 = 0

1 answer:

6 0

Here a=1, b= -5 and c= -3

so the discrim. is b^2 - 4(a)(c), or (-5)^2 - 4(1)(-3) = 25 + 12 = 37.

Because the discrim. is +, you'll have 2 real, unequal roots.

You might be interested in

Use the given graph to determine the limit, if it exists. (4 points)

skelet666 [1.2K]

<h3>Answer: 3</h3>

Explanation:

Refer to the graph below. It should be similar to what your teacher gave you, based off the description.

Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.

As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.

In terms of notation, we can write $\displaystyle \lim_{x\to3^{+}}f(x) = 3$

The portion $x \to 3^{+}$ means we're approaching 3 from the positive side, aka the right hand side on the number line.

8 0

2 years ago

When solving for the value x in the equation 4(x-1) +6= 18, aaron wrote the following lines on the board:

iren [92.7K]

Answer:

The Distributive Property.

Step-by-step explanation:

4(x - 1) = 12

When distributing out the 4, it must go to all the terms within the brackets like this:

4x - 4 = 12.

4x = 16

x = 4.

8 0

3 years ago

What answer i need fast

irina [24]

2/3 cup pineapple for every 1/3 cup OJ

there are three 1/3 cups in 1 cup

so multiply 2/3 by 3

2/3 * 3 = 6/3 = 2

2 cups of pineapple juice is needed

5 0

3 years ago

Which situation best fits the following inequality? 40 ≥ ≥ 6.5x - 14

zepelin [54]

40+40+40

6.80÷2

and if you do this 

you will end up 

getting your answers 

6 0

3 years ago

The cube with side 2 is cut from the corner of rectangular prism with dimensions 4×3×5. Find the volume and total surface area o

True [87]

Answer:

Volume: 52 Units Squared

Surface Area: 94 units.

Step-by-step explanation:

The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.

The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.

5 0

3 years ago