Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.​

Find The Discriminant Of X2-6x -10 = 0, And Determine The Number Of Real Solutions Of The Equation.

Answers

Answer 1

Answer:

76

2 real solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0

Discriminant: b² - 4ac

Positive - 2 solutions Equal to 0 - 1 solution Negative - No solutions/Imaginary

Step-by-step explanation:

Step 1: Define

x² - 6x - 10 = 0

Step 2: Identify Variables

Compare quadratic.

x² - 6x - 10 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = -10

Step 3: Find Discriminant

Substitute in variables [Discriminant]:                                                            (-6)² - 4(1)(-10)[Discriminant] Evaluate exponents:                                                                36 - 4(1)(-10)[Discriminant] Multiply:                                                                                    36 + 40[Discriminant] Add:                                                                                          76

This tells us that our quadratic has 2 real solutions.


Related Questions

5/7=12/y solve for y.

Answers

I believe the answer is 84/5

Answer:

Step-by-step explanation:

5/7 = 12/y

5y = 84

y = 84/5

) Complete the sentence.
+) Omar can buy ?
pairs of socks.

Answers

Answer:

Omar can buy a bunch of pairs of socks.

Step-by-step explanation:

u didnt give me an equation to solve

Answer:

At most of 7

Step-by-step explanation:

Can someone please help me with this?!!

Answers

I believe that you would need to sell 65 shirts

Calculate the unit price of the following item:
Chocolate chip cookies cost $2.79 per package and
there are 30 cookies inside. What is the price per
cookie? *

Answers

10 lol that’s the answer.

Find the unknown side length x. Write your answer in simplest radical form

Answers

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 30² = 50²

x² + 900 = 2500 ( subtract 900 from both sides )

x² = 1600 ( take the square root of both sides )

x = [tex]\sqrt{1600}[/tex] = 40 → B

Three numbers have a ratio of 2: 3: 4. If the largest number if their sum is 24 what is the sum of the three numbers?

Answers

Answer:

Step-by-step explanation:

Let r be a multiplier.  Then 2r + 3r + 4r = 24, or

9r = 24, or r = 24/9 = 8/3

The three numbers are then (8/3)(2), (8/3)(3), (8/3)(4), and their sum is

(8/3)(2 + 3 + 4) = (8/3)(9) = 24.  But the problem tells us that!  Please check the wording of your question; something's not quite right there!

f(x)= y-x/x^2-16

(that’s a fraction; and the ^ indicates the 2 is a exponent)

Answers

Answer:

= 1/x^2

Step-by-step explanation:

Possible derivation:

d/dx(-16 - 1/x + y)

Differentiate the sum term by term and factor out constants:

= d/dx(-16) - d/dx(1/x) + d/dx(y)

The derivative of -16 is zero:

= -(d/dx(1/x)) + d/dx(y) + 0

Simplify the expression:

= -(d/dx(1/x)) + d/dx(y)

Use the power rule, d/dx(x^n) = n x^(n - 1), where n = -1.

d/dx(1/x) = d/dx(x^(-1)) = -x^(-2):

= d/dx(y) - -1/x^2

Simplify the expression:

= 1/x^2 + d/dx(y)

The derivative of y is zero:

= 1/x^2 + 0

Simplify the expression:

Answer: = 1/x^2

is 14/18 greater then, less then, or equal to 7/9

Answers

Answer:

Equal to

Step-by-step explanation:

14/18 is just 7/9 but with the numerator and denominator multiplied by 2

Answer:

equal to

Step-by-step explanation:

14/18 simplified is 7/9

so 7/9=7/9

In the rhombus,
mZ1 =15x, mZ2 = x+y, and m/3 =9z.
Find the value of each variable. The diagram
is not to scale.
2 | 1
a. x = 12, y = 84, z = 20
b. x = 6, y = 174, z = 20
c. X= 6, y = 84, z = 10
d. x = 12, y = 174, z = 10

Answers

For the M1 angle, we can conclude the size of angle is 90°. Do the angle equation like this :

15x=90

x = 90/15

x = 6

Do the same thing in M2 :

Subtitute the x value to equation, then evaluate the value by using 90 because it's the same.

x+y=90

6+y=90

y=90-6

y=84

M3 value is same, 90°

9z=90

9z/9 = 90/9

z=10

Hope this helps

What is 50% of 82 ? Please help !!

Answers

If you mean like half then 31?

Answer:

The answer is 41

Step-by-step explanation:

9. An inequality is shown
2x - 5 < 33
Select all the values that are solutions to this inequality
a. 28
b. 26
C. 19
d. 18
e. 12

PLEASE HELPP!!

Answers

The answer is c 19
38/2=19
Step-by-step explanation
The answer is d. 18 and e. 12.

Explanation:

2x - 5 < 33

2x < 33 + 5

2x < 38

x < 38/2

x < 19

x must be smaller than 19.

It can’t be 19 because it didn’t say smaller than or equal to.

So the answer is 18 and 12.

Name three collinear points and non collinear points
I want all the answers please

Answers

L, J, and K are collinear. A, B, C, D, E, F are noncollinear.
The SAS Postulate states that if two sides of one triangle are congruent to
two sides of a second triangle, then the triangles are congruent if the angle
between the congruent sides is equal.

Mariah's teacher tells her that this expression can be written as log k, where k is an integer.

3 log 3x – log 9x^4 + log x

What is the value of K?

The value of k is?

Answers

Answer: 3

Step-by-step explanation:

if k is the incenter of def find each measure

Answers

Answer:

Step-by-step explanation:

whats the anwser for 14−3x<−1

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

14−3x<−1  Question

Step 2

14−3x<−1  Simplify

Step 3

14−3x<−1   Subtract 14 from sides

-3x<-15

Step 4

-3x<-15  Divide sides by -3

x>5

Answer

x>5

Hope this helped

Answer:

Step-by-step explanation:

I can help

Step 1

14−3x<−1  Simplify

Step 2

14−3x<−1  subtract 14 from the sides

-3x<-15

Step 3

-3x<-15  Divide the sides by 3

-3x/-3<-15/-3

Answer

x>5

Hope this helps

8.) In a carnival game, you gain $2 if you win and lose $1 if you do not win. If
someone plays 30 times and has a net loss of $6, how many wins were there?

Answers

Answer:

Step-by-step explanation:

Somebody plays 30 times

L+W = 30, where L and W are number of losses and wins, respectively.

L = 30-W

Net after 30 plays is $6

2W - 1L = 6

2W - (30-W) = 6

3W = 36

W = 12

W = 18

17 wins

(GRADE 7 ALGEBRA )
“7s-2”when s=-2

Answers

7s-2=-16 when s=-2 I’m currently taking college algebra

I need help pleaseeeeee

Answers

Given:

[tex]\Delta MAT\cong \Delta MHT[/tex] and [tex]m\angle 2=82^\circ[/tex].

To find:

Whether [tex]m\angle 1=47^\circ[/tex] is possible or not.

Solution:

We have,

[tex]\Delta MAT\cong \Delta MHT[/tex]

[tex]\angle AMT\cong \angle HMT[/tex]                      (CPCTC)

[tex]m\angle 3=m\angle 8[/tex]              ...(i)

And,

[tex]m\angle 1=m\angle 8[/tex]              ...(ii)        (Vertically opposite angles)

From (i) and (ii), we get

[tex]m\angle 1=m\angle 3[/tex]              ...(iii)

Now,

[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ[/tex]          (Linear pair)

[tex]m\angle 1+82^\circ+m\angle 1=180^\circ[/tex]             (Using (iii))

[tex]2m\angle 1=180^\circ-82^\circ[/tex]

[tex]2m\angle 1=98^\circ[/tex]

Divide both sides by 2.

[tex]m\angle 1=\dfrac{98^\circ}{2}[/tex]

[tex]m\angle 1=49^\circ[/tex]

The measure of angle 1 is 49 degrees so it cannot be equal to 47 degrees.

Therefore, the required answer is "no", the given statement [tex]m\angle 1=47^\circ[/tex] is not possible.

25 POINTS!!!!! HELP NEEDED


(05.01 MC)
The graph shows the prices of different numbers of bushels of corn at a store in the
current year. The table shows the prices of different numbers of bushels of corn at
the same store in the previous year.
Current Year
98
70
Price of
Com
56
(dollars) 42
28
14
0 2 4 6 8 10 12 14
Number of Bushels
Previous Year
Number of Bushels Price of Corn (dollars)
2
10
4.
20
6
30
8
40

Answers

PART A:

To find the rate of change, put change in y over change in x. In order to first find the changes, you must subtract two y values from each other and two x values from each other, like this:

Change in y = 20-10

Change in x = 4-2

Then you can put these over each other:

20-10/4-2

Then simplify

20-10/4-2 = 10/2 = 5/1 = 5

So, this means the rate of change is 5. $5 per bushel.

If you also need part B it would be helpful to see the other chart because it's hard to understand in the writing you included. :) Comment and let me know if you post it so I can help you out!

Part A: 7 dollars  

- The graph shows that 2 bushels is 14 dollars,  because the graph has a straight line, the rate remains constant you must divide the sides by two to find the amount for one bushel which would be 7 dollars.

- And to double check you would divide 28 by 4, 42 by 6, 56 by 8, 70 by 10, 84 by 11, and 98 by 12. they all equals 7 dollars So, the equation would be y = 7x.

- 7 can be known as the slope and  rate of change.

Part B:2 dollars

- The years before show 2 bushes was 10 dollars

-so you would divide 10 by two you would get five  To double check you would do the same thing with 20 by 4, 30 by 6 and 40 by 8, and they all equal 5 dollars.

-if you use this answer be sure to reword it so you dont get copy write and integrity. have a great day or night.

In rectangle PQRS, SP = 3 and RS = 4. What is the length of PR? (Hint: use
the Pythagorean theorem to solve for the diagonal) *

Answers

The answer is B). 5.

Both triangles share the same hypotenuse, PR, so you can use the lengths of the legs of the other triangle to find the answer.
4^2 + 3^2 = x^2
25 = x^2
The square root of 25 is 5, so that’s the answer.

2 is what percent of 40?

Answers

2 is 5% of 40

Hope it is useful

Two rectangles we're used to form the following figure. Which measurement is closest to the area of the shaded region of this figure in square inches

Answers

Answer:

44 cm

Step-by-step explanation:

You have to find the area of the bigger square and find the area of the smaller one. (Width x Height). Then subtract the smaller rectangle from the bigher one

1. Add the same number to both the numerator and the denominator of
the fraction 7/17, to change it to 3/5.​

Answers

Answer:

8

Step-by-step explanation:

Let x be the number added to both numerator and denominator.

Initial fraction=7/17

After adding x to both the numerator and the denominator

Then ,we get fraction=3/5

We have to find the value of x.

According to question

[tex]\frac{7+x}{17+x}=\frac{3}{5}[/tex]

[tex]5(7+x)=3(17+x)[/tex]

[tex]35+5x=51+3x[/tex]

[tex]5x-3x=51-35[/tex]

[tex]2x=16[/tex]

[tex]x=\frac{16}{2}=8[/tex]

sebuah kantong berisi 20 kelereng merah dan 15 kelereng putih.toni memiliki 3 kantong yang berisi kelereng dengan jumlah yang sama. jika Toni memberikan 45 kelereng kepada adiknya, sisa kelereng Toni adalah​

Answers

Answer:

60

Step-by-step explanation:

The computation of the rest of the marbles is given below:

Since there is 20 red and 15 white marbles

Also the 3 bags contains same marbles

So if he gives 45 marbles, so the remaining would be

= (20 + 15) × 3 - 45

= 35 × 3 - 45

= 105 - 45

= 60


the equati...
Solve the equation 3(x + 4.5) = 36.
If you get stuck, use the diagram.
36
4.5
X = ?

Answers

Answer:

x = 7.5

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

if you put 3 in the x it is now 3 but the x it is there with the 3 and do 3 with the 4.5 and then add them to each of them then you get your answer

Which algebraic expression represents the phrase "fourteen increased by a number"? 14 + y 14y StartFraction 14 over y EndFraction 14 minus y

Answers

the answer is 14 + y

The algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y. which is the correct answer that would be an option (A).

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The given statement is "fourteen increased by a number"

According to the given question, translate the phrase into an algebraic expression:

⇒ 14 + y

This is because the phrase "increased by" means to add a certain number to 14.

The variable y represents the number that is being added to 14.

Thus, the algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y.

Hence, the correct answer would be option (A).

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

At the end of the summer, I decide to drain the swimming pool
(which has 1500 gallons of water in it). I noticed that it drains
faster when there is more water in the pool. That was interesting
to me, so I decided to measure the rate at which it drains. I found
that it was draining at a rate of 1% every minute.
How long will it take to empty the pool?

Answers

20% is the answer. 20%

I need help really fast!!!

Answers

Answer:

by using Pythagoras law

16²=(2x²)²+(2x²)²(since base angle of isosceles triangle is equal

16²=4x⁴+4x⁴

16²=16x⁴

16=x⁴

[tex]x = \sqrt[4]{16} [/tex]

x=2

Solve the following system of equations
3x-3y=4
-3x+3y=3

Answers

Answer:

Step-by-step explanation:

1. Elimination

2. zero solutions

0 ≠ 7

What is greater 100,000 cm or 1 mi PLEASE HELPPPPPPP

Answers

Answer:

1 mile

Step-by-step explanation:

1m =160934 cm

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