Mathematics High School

Find the discriminant of the following quadratic equation then state the number of rational, irrational, and imaginary solutions.

Equation: −6x2−6=−7x−9

Discriminant: Answer

Solutions:

Answers

Answer 1

Answer:

-6x² - 6 = -7x - 9-6x² + 7x - 6 + 9 = 0-6x² + 7x + 3 = 06x² - 7x - 3 = 0

Discriminant:

D = (-7)² - 4*6*(-3) = 49 + 72 = 121

Since D > 0, there are 2 real solutions:

x = (- (-7) ±√121 )/12x = (7 ± 11)/12x = 1.5, x = -1/3

Related Questions

Consider the function f(x) =
- 4x2xs-1
-3-*-1, *> -1
Which statement explains the continuity of the function at x = -1?
Because lim f(x) = 4 and f(-1) = 4, it follows that lim f(x) = f(-1). Therefore, the function is continuous at x
1.
*--1
*--1
O Because lim f(x) = -4 and f(-1) = -4, it follows that lim f(x)=f(-1). Therefore, the function is continuous at
-1.
*--
X-1
--
O Because lim f(x) = 4 and f(-1) = -4, it follows that lim f(x) f(-1). Therefore, the function is not continuous
*--1
= -1.
O Because lim f(x) = -4 and f(-1) = 4, it follows that lim f(x) f(-1). Therefore, the function is not continuous a
= -1.
--
--1

Answers

Answer:

It's B

Step-by-step explanation:

B) Because Limit as x approaches negative 1 f(x) = –4 and f(–1) = –4, it follows that Limit as x approaches negative 1 f(x)= f(–1). Therefore, the function is continuous at x = –1

what is 1842 plus 5939

Answers

The answer to that question is 7781

Answer:

7781

Step-by-step explanation:

1842+5939=7781

one day, bill at the candy shoo sold 210 bottles of cherry soda and grape soda for a total of 230.30. If the cherry soda costs 1.15 and the grape soda costs $.99, how many of each kind where sold

Answers

Mmmmmmmm””6098876544

A theatre has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on. Write the explicit formula for this problem.

Answers

Answer:

The formula is adding 8 for every row of seats.

Step-by-step explanation:

This is because the relationship between these numbers keep on adding 8 so for instance next row would have 84 seats.

Hope this is what your looking for.

adjbansjuaibsfcaasfjucasgidochquwarhdcheasc

Answers

Answeryou need to write your question better

ANSWER FOR BRAINLIEST AND 50 POINTS:

The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78

Find the MEAN of the temperatures. Round to the nearest tenths place.

A. 82.3

B. 89

C. 83

D. 78

Answers

Answer:

A.

mean=82.286

Rounded to the tenths place would be= 82.3

Step-by-step explanation:

The Mean is found by adding all of the values together

Then dividing it by how many values there are.

In this instance, all the values added up equal 576

576 now will be divided by how many temperatures are recorded.

576/7=82.286

82.286 Rounded to nearest tenth=82.3

Please help, due soon. Use the information provided to write the standard form equation of each circle

Answers

Answer:

The answer is D

Step-by-step explanation:

the standard equation for circle is (x －h)² ＋(y －k)² = r² which h is the x coordinate, k is the y coordinate, r is radius. In this case, both x coordinate and y coordinate are 0, so the left side of the equation is x² + y², since the radius is √249, the r² is 249. So the equation is x² + y² = 249, and the answer is D.

Hope this will help❤️

PLEASE CAN YOU HELP ME WITH THIS AND EXPLAIN

Answers

Answer:

sorry it's very long........

What are the solutions to log6(x^2 + 8) = 1 +log6(x)?

X=-2 and x=-4
X=-1 and x = 8
X= 1 and X=-8
X= 2 and x=4

Answers

Answer: x = 4, x = 2


x² + 8 = 6x

Answer:

D. x=2 and x=4

Step-by-step explanation:

Hope this helps!! Have a great day!! ❤

Two numbers have these properties Both numbers are greater than 8 The HCF is 8 The LCM is 80 Find the two numbers

Answers

Answer:

10 and 64.

16 and 40

Step-by-step explanation:

The product of the two numbers is equal to the product of LCM and HCF

Number 1* Number 2= LCM * HCF

Number 1* Number 2= 8*80

Number 1* Number 2= 640

Both the numbers are greater than 8. Suppose one number is 10 then the other number will be 640 ÷ 10= 64

so the two numbers will be 10 and 64.

Similalrly the two numbers can also be 16 and 40 and like wise.

Any number greater than 8 dividing 640 will give the second number also.

Find the center and the radius of the circle with the equation x^2-4x+y^2-12y+31=0

Answers

C: Center: (2, 6)Radius: 3

50 pt = ?gal

50 pt = ?pt

PLEASE HELPPPP ‍

Answers

Answer:

50 pints is 6.25 gallons.

What do you mean by the second one?

Step-by-step explanation:

50 ÷ 8 = 6.25

Answer:

50 pints is 6.25 gallons.

50 ÷ 8 = 6.25

Step-by-step explanation:

A numbered dice has sides labeled 1 to 8. What is the probability of landing on a number greater than 3?

Answers

Answer:

5/8

Step-by-step explanation:

An expression equivalent to (-11b+15)-3(-23b+17)?

Answers

Answer:

58b - 36

Step-by-step explanation:

-11b + 15 + 69b - 51

combine 'like terms' to get:

58b - 36

I need this answer, please?

Answers

Answer:

4.23

Step-by-step explanation:

3.68 + 0.21 + 0.25 + 0.01 + 0.08 = 4.23

No links please
The sum of two numbers is 147. The difference of the two numbers is 25.
What are the two numbers? Show your work.

Answers

86 and 61.

x + y = 147
x - y = 25

I always found second setting that second equation up was hardest. How do I know which one comes first? You just keep them in the same order as the first math equation.

So let’s solve for x in terms of y:
x - y = 25
x = 25 + y

Then substitute that into your first equation:
x + y = 147
(25 + y) + y = 147
2y = 122
y = 61

x = 25 + y = 25 + 61 = 86

Hey, can you please help me the best that you can. I would really appreciate it, thank you! :)

Answers

1 cookie = 45 oz sugar

2 cookies = 2×45 oz = 90 oz

3 cookies = 3×45 oz = 135 oz

...

523 cookies = 523×45 oz = 23,535 oz

I NEED HELP PLSSS HELP SHOW WORK IF YOU KNOW

Answers

PLEASE SHOW THE PROBLEM WE CANT SEE

10 points please help

Answers

The Answer Is 9-6i

have an amazing day <3

Answer:      9-6i

Step-by-step explanation:

Select the correct answer.
Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
Ο Α. Ο
OB
1
OC. 2
OD
4.
OE
infinitely many
Reset
Next

Answers

Answer:

OD

Step-by-step explanation:

Answer:

It's OD

p explanation:

Hiiiooo! Can someone please help me out with this!❤️

Answers

Answer:

8

Step-by-step explanation:

6² + b² = 10²

36 + b² = 100

-36          -36

b² = 64

[tex]\sqrt{64}[/tex] = 8

b² = 8

hope this helps

In the current year Aveeno reported net income of $50,400which was a 12% increase over prior year net income Compute prior year net income

Answers

Answer:

$45000

Step-by-step explanation:

Given data

Net income =$50,400

Let the prior year income be x

12/100*x +x= 50400

0.12x+x= 50400

1.12x= 50400

x= 50400/1.12

x= $45000

Hence the prior year income is $45000

Whats the área and circumference if the diameter is 10mm?

Answers

Answer:

78.54

Step-by-step explanation:

Answer:

Circumference of a circle in terms of radius:

Circumference = 2·π·r = 2·3.14·5 = 31.42 mm.(*)

In terms of diameter:

Circumference = π·d = 3.14·10 = 31.4 mm.(*)

In terms of area:

Circumference C = √4·π·A = √4·π·78.54 = 31.42 mm.(*)

Step-by-step explanation:

Note: For simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

I literally do not understand this at all. PLEASE HELP ASAP

Answers

I think the answer is 6
The answer is 4.
Plug in the (-5) in the x.

please help.
a = 5 ft, b = 12 ft
&
b = 5 in, c = 15 in.
​

Answers

Pythagorean theorem

a^2+b^2=c^2

a=c^2-b^2

Step-by-step explanation:

c=a^2+b^2

5^2+12^2=13

a=c^2-b^2

15^2-5^2= 14.1

An expression is shown below.


What is the value of the expression?

Answers

Answer:

1/12

Step-by-step explanation:

1) covert 1/2 to 3/6 to subtract 2/6 from it. this gets 2/6, which simplifies to 1/3

2) divide 1/3 by 4 which gets 1/12

can anyone help me please!!!!!!!!!!!

Answers

Answer:

a) 45

Step-by-step explanation:

I need help only in number 3

Answers

Answer:

I believe they're the same because the last part of the equation is the same

Step-by-step explanation:

because 3/x-4+4 they both are the same

first answer will get brainlest and 5 stars and a thanks by me

Answers

Answer:

4 seconds

Step-by-step explanation:

If f(x) =2x+4 and g(x)=1-x, then which of the following represents y=f(x)+g(x)?

Answers

Answer:

y = x +5

Step-by-step explanation:

2x +4 + 1-x = x +5

hope this helps

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