Find the discriminant and determine the number of real roots for each equation. Show steps.

-9x^2 + x - 7 = 0

Answers

Answer 1

Answer:

0 real roots

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

- 9x² + x - 7 = 0 ← is in standard form

with a = - 9, b = 1, c = - 7 , then

b² - 4ac = 1² - (4 × - 9 × - 7) = 1 - 252 = - 251

Since b² - 4ac < 0 then the equation has no real roots


Related Questions

3. Find any three rational numbers between 1/2 and 3/2​

Answers

Answer:

[tex] \frac{2}{3} \\ \\ \frac{2}{2} \\ \\ \frac{4}{3} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

Answer:

For example 1/1, 2/3 and 4/3

Step-by-step explanation:

There is a great way to generate rational numbers between other rational numbers using:

[tex]\textrm{If:~~~~~~} \frac{a}{b} < \frac{c}{d}\vspace{7pt}\\\textrm{Then:~} \frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}[/tex]

So we know that (1+3)/(2+2) is between 1/2 and 3/2 without checking.

(1+3)/(2+2) = 1/1, so we got our first rational number.

Lets continue by finding numbers between 1/2 and 1/1; and 1/1 and 3/2

(1+1)/(2+1) = 2/3

(1+3)/(1+2) = 4/3

We could also look for a number between 1/2 and 2/3 and find

(1+2)/(2+3) = 3/5

And so on, so forth :)

Pls help ASAP!!!!!!!!!!!!!

Answers

Answer:

i thank 180 or 115×31=

Step-by-step explanation:

i am not sure sorry):

A recipe for pizza sauce calls for 7 cans of tomatoes and 21 teaspoons of oregano. How many teaspoons of oregano would you need for a single can of tomatoes?

Answers

Answer:

3

Step-by-step explanation:

21 divided by 7 = 3

Answer:

21 divided by 7 = 3

Step-by-step explanation:

6. Find the height of the brace.

Answers

Answer:

Brace girders

As a horizontal link between foundations or pile heads, the braces are dimensioned with the relationship between free span and the height of the beam, L / h <10, preferably 7, but the height should not be less than 40 cm.

find the value of x in each triangle. show your work on a separate piece of paper

Answers

Answer:

x = 65

Step-by-step explanation:

straight line = 180 degrees

so

180 - 165 = 25

90 + 25 = 115 degrees

180 - 115 = 65 degrees

so

x = 65

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

There are 20 students in the drama club. Next year, 5 students will leave the drama club and some students will join. If d is the number of students who will join the drama clibz write an expression to represent the total number of students in the drama club next year.

Answers

20-5dhsh HHS’s did hahah

The expression showing the number of students in the drama club the next year is 15+d.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, there are 20 students in a drama club,

5 of them will leave in next year, and d students will join,

We are asked to construct an expression to represent the total number of students in the drama club next year.

So, the present number of students in the club = 20

After next year = 20-5 = 15

After the joining = 15+d

Hence the expression showing the number of students in the drama club the next year is 15+d.

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What is 35% of 130 write your answer in

Answers

Answer:

45.5

Step-by-step explanation:

....................

Use the probability distribution table to answer the question.

What is P(2≤X≤5)?



Enter your answer, as a decimal, in the box.



X P
0 0.45
1 0.21
2 0.15
3 0.09
4 0.07
5 0.02
6 0.01

Answers

Answer:

1. 0.21 like that has happened

Amy tutors math. For each hour that she tutors, she earns 30 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.

Write an equation relating E to H. Then use this equation to find Amy's earnings after tutoring for 13 hours.


Equation:
Amy's earnings for 13hour :dollars

Answers

Answer:

e = 30h 390 dollars after 13 hours

Step-by-step explanation:

e = earning

h = hours worked

e = 30h

30×13=390

390 dollars after 13 hours of tutoring

In a given figure, < A and < B are vertical angles. The measure of < A is 4x + 22 and the measure of < B is 38 degrees. Write and solve an equation to find the value of x.

Answers

Omg this isnt the answer but i have the same question as u

Help me please answer thanks

Answers

Answer:

I think it would be each girl scored 2 points, and each boy only scored one. :)

What is the value of 1/2 + (-5/6) +1/4?
A. -7/12
B. - 1/12
C. 1/12
D. 1 7/12​

Answers

Answer:

B. - 1/12

Step-by-step explanation:

can you make me brainliest

help pls its ixl am in 84 pls help help

Answers

Answer:

15/51

Step-by-step explanation:

Total Number Of People = 15+36=51

Dancers = 15

15/51 is the chance of a dancer signing up

Match the opposites 0 -0.875 5 10.4 8,003 -28 -5 28 -10.4 0.875 -8,003 0 -5 28 -10.4 0.875 -8,003 0

Answers

Answer:

The opposite of a positive number is a negitive number and vice versa!

Step-by-step explanation:

-5 , 5

28 , -28

-10.4 , 10.4

.875 , -.875

-8003 , 8003

0 , 0

8. Write an inverse variation equation relating x and y when x = 18 and y = 4.5. (64) help pliz​

Answers

Answer:

answer are

a.k=13.5;13.5y=x

b.k=1.5;y=1.5x

c.k=1.5;y=1.5/x

d.k=13.5;xy=13.5

the line graphed below has a slope of _______?​

Answers

Answer:

-3

Step-by-step explanation:

slope = Δy / Δx = -6/2 = -3

I need help with this somebody please help me!!

Answers

Answer:

Y=m6-6

Step-by-step explanation:

Original equation for slope-intercept.

Y=MX+B

Substitute given values

X=slope

B= Y-intercept

Given slope:

6

Given y intercept:

-6

Simply plug in given values into the original equation

y=m6-6

. A dice is thrown once. Find the probability of getting (i) An even number (ii) a number greater than 6​

Answers

Answer: (i) 1/2 (ii) 0

Explanation:

(i) 1, 2, 3, 4, 5, 6 (numbers on a dice)
2, 4, 6 (even numbers on a dice)
3/6 is the probability of rolling an even number
3/6 = 1/2
1/2 is the probability of rolling an even number
(ii) there is no number greater than 6 on a dice

Can someone give me the answer please it would mean a lot!

Answers

Answer:

It can be written as:

(9m)(9m)(9m)(9m)

Step-by-step explanation:

ADD THE EXPRESSIONS (-3/5n - 2 - 3t) + ( 5n + 4 - 1/2 t)

Answers

Answer:

22n/5-7t/2+2

Step-by-step explanation:

Answer: Ik the answer cause I looked it up online but it wont let me paste the link, so search the answer up and u will find it.

Please help me I don’t understand it

Answers

Answer:

Step-by-step explanation:

It is a right triangle, so use the Pythagorean Theorem to solve for x.

x² +  8² = 11²

x² = 11² - 8² = 57

x = √57

18).

Find mZBCA.
B
(5x + 12)
[.
(9x + 1)
А
(10x – 37)°

Answers

Answer:

m∡BCA = 57°

Step-by-step explanation:

find 'x' by adding all expressions and setting them equal to 360°

9x+1 + tx+12 + 10x-37 = 360

24x = 384

x = 16

Substitute 16 into 10x-37

160 - 37 = 123

m∡BCA is supplemental with 123°, therefore it measures 57°

GUYS PLEASE HELP ME IF YOU GET IT RIGHT I WILL MARK BRAINLIEST

Answers

the slope is 1/3 i believe

Answer:

The slope is 1/3

Step-by-step explanation:

I am going to use points (10,20) and (40,30)

m = rise/run = 10/30

simplify (divide by 10)

1/3

plz mark as brainliest if correct!

3. A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the box?

Answers

Answer: 50 oranges

Step-by-step explanation:

1 kg = 1000 g - 4 kg = 4000 g 4000g/80g= 50 (This gives the number of oranges in the box since each orange weighs 80 grams.)

Stefan sells Jin a bicycle for ​$125 and a helmet for ​$18. The total cost for Jin is ​130% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

PLEASE TELL ME AN ANSWER, THIS TEST IS DUE IN 5 MINUTES.

Answers

Answer: The selling cost for Stefan bicycle = $114 and

the selling cost of a helmet = $18.

The total cost for Jin is 120% of the money spent.

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a halmet = $y.

For bicycle

120% of x is $114  

=>  1.20 × x = 114

Dividing both sides by 1.20, we get

x=$95.

For helmet.

120% of y is $18.

=> 1.20 × y = 18.

Dividing both sides by 1.20, we get

y = $15.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.

$114 - 95 = $19

$18 - 15 = $3.

Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

Jordon dog weighs P pounds. Emmets dog weighs 25% more than Jordons Dog. Which expression represents the weight in pounds of emmets dog select two answers 0.25p 1.25p p+0.25 P+ 1.25 p+0.25p

Answers

Answer:

1.25p

p+0.25p

Step-by-step explanation:

(4n+1)(2n+6) multiply polynomials

Answers

Answer:

= 8n^2 +26n +6

Step-by-step explanation:

(4n+1)(2n+6)

= 8n^2 + 24n +2n +6

= 8n^2 +26n +6

The product of the polynomials (4n+1)(2n+6) is 8n² + 26n + 6.

To multiply the polynomials (4n+1)(2n+6), you can use the distributive property.

(4n+1)(2n+6) = 4n x 2n + 4n x 6 + 1 x 2n + 1 x 6

Applying the distributive property and simplifying each term:

= 8n² + 24n + 2n + 6

Combining like terms:

= 8n² + 26n + 6

Therefore, the product of the polynomials (4n+1)(2n+6) is 8n² + 26n + 6.

Learn more about Polynomial here:

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will mark brainliest and rate 5/5

Answers

Answer:

20, 250

Step-by-step explanation:

just search up surface area of a square pyramid, enter the width, length, and height and it should give you: 20,250

Using the graph , determine the coordinates of the vertex of the parabola

Answers

Answer:

(-4,-4)

Step-by-step explanation:

Delta math

According to graph, the coordinates of the vertex of the parabola are (-4,-4).

What is parabola?

"A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped."

Vertex of parabola

"The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form, the vertex will be the minimum (lowest point) of the graph and the maximum (highest point) of the graph.

After analysing the graph, the vertex of the parabola are (-4,-4)

Learn more about parabola here

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2x+45-56=9x+54+23
Solve for x please

Answers

Answer:

x = -12.57

Step-by-step explanation:

2x + 45 - 56 = 9x + 54 + 23

2x - 11 = 9x + 77

-11 = 7x + 77

-88 = 7x

x = -12.57

It would probably be X=-12.57
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