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Bumek [7]
2 years ago
15

What is the discriminant of the quadratic equation 2x² - x - 3=0?

Mathematics
1 answer:
Tamiku [17]2 years ago
6 0

The given quadratic equation is

2 {x}^{2}  - x - 3 = 0

comparing with

{ax}^{2}  + bx + c = 0

We get ,

a = 2 \\ b =  - 1 \\ c =  - 3

formula :

D =  {b}^{2}  - 4ac \\  \\ D =  {( - 1)}^{2}  - 4 \times 2 \times ( - 3) \\  \\ D = 1 - ( - 24) \\  \\D  = 1 + 24 \\  \\D  = 25.

Discriminant of given quadratic equation is 25 .

option (B) 25 ✔

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Cat treats are on 4 shelves at Mr. Maikas’s pet shop. There are currently 8 bags on the top shelf. He needs to arrange 25 more b
Mandarinka [93]

Hi!

Since there are currently 8 bags on the top shelf, the remaining 25 should divide by 3, and the closest number is 8.

Hope this helps!

5 0
3 years ago
Use the graph representing bacteria decay to estimate the domain of the function and solve for the average rate of change across
nasty-shy [4]

Answer:

Domain is [0,18]

Average rate of change of bacteria per minute is -3333.33.

Step-by-step explanation:

Domain is the possible values of x.

From the graph, it's clear that the x values ranges from 0 to 18 as the end points of the graph are (0,60) and (18,0)

So, domain of the function is [0,18].

Now, average rate of change is negative as there is bacteria decay.

Average rate of change is given as the negative ratio of y intercept to the x intercept.

Here, x-intercept is 18 and y-intercept is 60000.

So, average rate of change is given as,

R_{avg}=-\frac{60000}{18}=-3333.33

Therefore, average rate of change of bacteria per minute is -3333.33.

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 67. The larger number is 19 more than the smaller number. What are the numbers
maxonik [38]

Answer:

32 and 35

Step-by-step explanation:

I am going to use x for the smaller number and y for the larger one.

The sum of both these numbers is 67, so the equation should be:x+y=67

Since the smaller number is three less than the larger number, that means 3 has to be added to the smaller number to make it equal in size to the larger number.

x+3=y

To solve the equation, simply plug in 

x+3 for the y variable in the first equation.x+x+3=67→ Rewrite the first equation2x=64→ 

Subtract 3 from each side, combine like termsx=32→ 

Divide each side by 2The smaller number is 32, so we plug that in to the second equation to find the larger number.

32+3=yy=35

The two numbers are 32 and 35

4 0
2 years ago
Susan has raised $234 by selling 18 equally priced wreaths for the band fund-raiser. Which of the following equations can be use
dem82 [27]
We know that Susan has raised $234 by selling 18 equally priced wreaths. So the find the price, y, of one wreath, we need to divide 234 by 18. And that can be done using the equation 18y = 234.

How?
18y = 234

Divide both sides by 18
(18y)/18 = 234/18
y = 234/18
y = 13

So using the equation 18y = 234, we were able to find the price of each wreath: y = $13

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
Can someone help me????
tatyana61 [14]

Answer:

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7 0
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