What is the discriminant of the quadratic equation 9x^2+5x-9=0

Answers

Answer 1

Answer:

Δ = 349

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is

Δ = b² - 4ac

9x² + 5x - 9 = 0 ← is in standard form

with a = 9, b = 5 , c = - 9 , then

b² - 4ac

= 5² - (4 × 9 × - 9)

= 25 - (- 324)

= 25 + 324

= 349


Related Questions

Which triangles are congruent in the figure?

Answers

Answer:

ΔJLK≅ ΔMLN

Step-by-step explanation:

SSS

Calculate the exact value of 0.428 ×2.75

Answers

[tex]0.428 ×2.75 = 1.177[/tex]

- BRAINLIEST ANSWERER

3(x-4)=2(-2x+1) please help

Answers

Answer: x=2.

Step by step:

3(x-4)=2(-2x+1)

3x-12=-4x+2

7x-12=2

7x=14

x=2

Answer:

[tex]\boxed{\boxed{\sf x=2}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(x-4\right)=2\left(-2x+1\right)[/tex]

Expand, Apply Distributive property:

→ [tex]\sf 3x-12=-4x+2[/tex]

Add 12 from both sides:

[tex]\sf 3x-12+12=-4x+2+12[/tex]

→ [tex]\sf 3x=-4x+14[/tex]

Add 4x from both sides:

[tex]\sf 3x+4x=-4x+14+4x[/tex]

→ [tex]\sf 7x=14[/tex]

Divide both sides by 7:

[tex]\sf \cfrac{7x}{7}=\cfrac{14}{7}[/tex]

→ [tex]\sf x=2[/tex]

______________________________________

i need help with evaluating functions g(n)=3n - 4 ; find g(9)

Answers

n = 9
So
3n - 4 = (3*9) - 4 = 23

which of the following theorems proves that abc~def?

Answers

Answer:

D but read below.

Step-by-step explanation:

I take it that the symbol ~ stands for similar. If that is so, then the answer you want is AA, because if 2 angles in a triangle are equal, then all 3 are. So if any 2 equal angles in one triangle are equal to 2 angles in another, then the two triangles are similar.

how do you solve this inequality
[tex]2x - y \leqslant 3[/tex]


Answers

Step-by-step explanation:

I said in your comments, you can solve it for each variables

you have 2 answers

1) 2x<y+3

[tex]x \leqslant \frac{y + 3}{2} [/tex]

2)

[tex]y \geqslant 2x - 3[/tex]

In which quadrant does the point (-4, -5) lie?

Answers

Answer:

Quadrant 3

Step-by-step explanation:

3rd quadrant. because both x and y are negative

What is the y intersect. Pls help

Answers

Answer:

total shipping cost

Step-by-step explanation:

Please help!
(at the start it says "Albert's mom bought" but it was accidentally cropped out...sorry)

Answers

Answer:

Option D

Step-by-step explanation:

We convert 5 2/3 into an improper one:

17/3

There are 5 people in his family

17/3 * 1/5 = 17/15

So option D

A listing of observed values and the corresponding frequency of occurrence of each value is called a

Answers

Answer: frequency

Step-by-step explanation:

Like terms can be ________

this is fill - up question


Answers

Answer:

.the same variables and same powers

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.

HOPE IT HELPS...............

Aubree is making different shades of pink paint to use for an art project. A batch of dark pink uses 2.5 cups of red paint and 1.5 cups of white paint. A batch of light pink uses 0.75 cup of red paint with 1.25 cups of white paint. She begins with a gallon of red and a gallon of white paint. How much of each color paint will she have left if she makes a batch of dark pink and light pink every day for a week?

Answers

Answer:

Cups of red paint for a batch of dark pink - 2.5

Number of gallons of red paint that she starts with - 1

Cups of red paint for a batch of light pink - i did not get that one

Step-by-step explanation:

round off 86 625 mm to the nearest significant figure​

Answers

answer.

86 630

explanation.

86 62|586 630

One evening, 2/3 of Mrs. Thorne’s students watched a reality television show. Of Mrs. Lombardo’s students, 4/5 watched the same reality show: Which teacher has more students watch the reality show?

Answers

Answer:

They both had the same amount of students watch the reality show.

Step-by-step explanation:

To find the number of students who watched the reality show in each teacher's class, just multiply the fraction by the total number of students per teacher.

For Mrs. Thorne's:

36 * (2/3) = 24 students

For Mrs. Lombardo's:

30 * (4/5) = 24 students

24 = 24 so they had an equal amount of students from each class watch the reality show.

Breanna thought of a number, divided it by 5, and then added 7 to her answer. She got a final number of 11. What was her starting number?

Answers

Answer:

the answer is 20

Step-by-step explanation:

got it yw man<333333

I NEED HELPP!!!
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
_______________________________________________
Given all of this information, answer the following questions:

1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?

2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)

3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)

I will mark most brainlest whoever gets it right for me :)))

Answers

Sorry I can't help you :(

If x=5 and y=3 find the value of x+2y

Answers

Answer:

x=5

y=3

then ,

x+2y= 5+2 *3

= 5+6

= 10

what is a trinomial?

Answers

Answer:

In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.

Answer:

An algebraic expression of three terms

Step-by-step explanation:

A trinomial consists of 3 terms connected to one another by + or - sign(s).

Examples:  x^2 - 2x - 5 is a trinomial:  Its 3 terms are arranged in descending order by powers of x.

A Dog’s grew 2 1/2 inches in 12 1/2 weeks.How long will the hair grow in 1 week

Answers

Using the principle of proportional relationship, the length of hair grown by the dog in 1 week would be 0.2 inches

Setting up the relationship thus :

12.5 weeks = 2.5 inches

1 week = p inches

Cross multiply

12.5p = 2.5

Divide both sides by 12.5

p = 2.5 / 12.5

p = 0.2 inches

Hence, the length grown in 1 week is 0.2 inches

Learn more : https://brainly.com/question/25625086

please help and show work​

Answers

Answer:

When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.

Opps, forget to add picture. 6 minutes left. Pls help, thank you!

Answers

Answer:

I don't know sorry please forgive me

Answer:

D

Step-by-step explanation:

mean is 11.25 and midian is 10.50

what is the rate of change of the function ?

Answers

Answer:

Rate Of Change Formula At its simplest, the rate of change of a function over an interval is just the quotient of the change in the output of a function (y) over the difference in the input of the function (x) (change in y/change in x)

Step-by-step explanation:

What is the y-intercept of the graph below?

Answers

Answer:

the y intercept is 2

Step-by-step explanation:

we can see this because the line crossed the 2 on the y axis line

Could someone help answer number 1 please

Answers

(4,0) hope this helps!!

y varies jointly as x and z. If y = 12 when x = 4 and z = 3, find y when x = 9 and z = 8.

Answers

Answer:

y = 72

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 12 when x = 4 and z = 3

12 = k × 4 × 3 = 12k ( divide both sides by 12 )

1 = k

y = xz ← equation of variation

When x = 9 and z = 8 , then

y = 9 × 8 = 72

7.5t= 45 Solve this.

Answers

Answer:

t = 337.5

Step-by-step explanation:

(7.5) * 7.5t = 45 * (7.5)

t = 337.5

Just some simple algebra, please mark me brainliest!

Sam made $189 for 9 hours of work. At the same rate, how many hours would he have to work to make S147?​

Answers

Answer:  7 hours

Step-by-step explanation:

$189/9 hr = $21/hr

$21/hr(x) = $147

x = 147/21

x = 7 hours

Answer:

7 hours

Step-by-step explanation:

We know 9 hours of work paid $189

to find how much Sam makes in one hour we divide the amount made by the time it took to make it

189 / 9    = 21 dollars per hour

then we know she would like to make $147 more at a rate of $21/hr so

147 / 21   = 7 hours

hit test
Students were surveyed about their preference between dogs and cats. The following two-way table
displays data for the sample of students who responded to the survey.
How many students in the sample were female?
students
Preference
Male
Female
Prefers dogs
36
20
Prefers cats
10
26
No preference
2
6
Report a problem

Answers

Answer:

52

Step-by-step explanation:

add the columns with the female opinions (2 + 26 + 6)

then you get 52

i need help with all of this please

Answers

your picture isn’t loading and maybe try to set up a new one?

√(7+√(24))÷2+√(7−√(24))÷2​

Answers

Answer:

The exact form is √(7+√(24))÷2+√(7−√(24)) over 2. The decimal form is 2.44948974....

Step-by-step explanation: Hope this will help you! :D

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