Find the values of m for which the equation

x^2 +2mx + 9 = 0 has no real roots

Answers

Answer 1

Answer:

Interval notation for m: (-3,3)

Inequality notation: -3<m<3

In words: Anything between -3 and 3 without including either -3 or 3.

Step-by-step explanation:

If we want no real roots then b^2-4ac must be less than 0.

a=1

b=2m

c=9

These values were found by comparing your equation to ax^2+bx+c=0.

b^2-4ac<0 is what we are trying to satisfy

(2m)^2-4(1)(9)<0

4m^2-36<0

Divide both sides by 4:

m^2-9<0

Add 9 on both sides:

m^2<9

m^2<9 when m<3 and m>-3.

Interval notation (-3,3).


Related Questions

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Answers

Answer:

I think B is the answer

Step-by-step explanation:

Pls make me brainliest

Imsureeeeeeee123

the answer is D) -1
hope this helps

I need to know the answer to 2 1/3 x 4/5

Answers

Answer:

Simplify the expression.

Exact Form:

28/15

Decimal Form:

1.8¯6

Mixed Number Form:

1 13/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert 2 1/3 to improper fraction

[tex]2\dfrac{1}{3}*\dfrac{4}{5}=\dfrac{7}{3}*\dfrac{4}{5}\\\\\\=\dfrac{7*4}{3*5}\\\\\\=\dfrac{28}{15}\\\\= 1\dfrac{13}{15}[/tex]

There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?

Answers

Answer:

32

Step-by-step explanation:

Trust me its hard to explain.

You bought 4 hamburgers you gave a cashier $50 bill and get $22 change how much was each hamburger

Answers

Answer:

$7

Step-by-step explanation: Five step plan

1. How much is each hamburger?

Variables

Price paid : $50

Change: $22

No. of hamburgers: 4

2. Price for all hamburgers. 50-22 = 28

3. y(price of each hamburger) = 28/4

4. y = 7

5. The price of each hamburger is 7

5 4/6-4 2/3 ÷ 3 2/3?​

Answers

Answer:

145/33

Step-by-step explanation:

Assuming what you wrote was mixed fractions, this is how to do the question.

Do the division first and then subtract that from 5 4/6/

solve pls brainliest

Answers

The answer for a is +2.

The answer for b is +256.

Annette's mom made snacks for her party. She made 181 snacks and there are 27 students. How many more snacks does she need to make in order for each student to receive 7 snacks?

Answers

Based on the given conditions, formulate:
7 x 27 =181

Calculate the product or quotient:
189 -181

Calculate the sum or difference:
8

get the result:
8

Answer:
given:

181 snacks

27 students

to find:

How many snacks she need to make in order for each student to receive 7 snacks.

solution:

[tex]7 \times 27[/tex]

[tex] = 189[/tex]

[tex]189 - 181[/tex]

[tex] = 8[/tex]

therefore, she needs to make 8 more snacks in order for each student to receive 7 snacks.

evaluate the expression when c=4and d=6

36/c +d​

Answers

Answer:

15

Step-by-step explanation:

36/c + d = 36/4 + 6 = 9 + 6 = 15

Can you figure out if the slopes are parallel, perpendicular or neither and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

Answer:

1. C,  2. A,  3. C,  4. B

Step-by-step explanation:

Parallel:  slopes are equal.  In problem 2, the slopes appear to be 2 ("rise over run") One line passes through points (2, 1) and (3, 3) -- y increases by 2 if x increases by 1.  The other line passes through points (0, 3) and (1, 5)  -- y increases by 2 if x increases by 1.  The lines have the same slope.

Perpendicular:  slopes are opposite reciprocals (they have opposite signs).  In problem 4, that happens:  2/3  and  -3/2.  That is not the relationship between slopes in problem 3.  1/3 and 3 are not opposite reciprocals.

Corrected!  #4 is B (perpendicular)

PLEASE HELP GEOMETRY IS SO HARD PLEASE


tell me if i need to add or delete an answer

Answers

Answer:

where is questions asking

Calculate Unit Rates

please help

Find the unit rate for each problem.​

Answers

Answer:

1. 3 tacos per person

2. 8 chairs per table

3. 6 avocados per bag

Step-by-step explanation:

1) Divide 45 by 15 to get the unit rate: # of taco per person.

45 = 15x

45/15 = 15x/15

3 = x

3 tacos per person

2) Divide 72 by 9 to get the unit rate: # of chairs per table.

72 = 9x

72/9 = 9x/9

8 = x

8 chairs per table

3)  Divide 42 by 7 to get the unit rate: # of avocados per bag.

42 = 7x

42/7 = 7x/7

6 = x

6 avocados per bag

7^-12 x 7^5 Simplified

Answers

7^5 / 7^12 -> the negative exponent means 1 / exp

15% of the skittles in andy's bag are green. if 9 of them are green, how many skittles are in the bag

Answers

Answer:

60

Step-by-step explanation:

9/15 = 0.60

0.60 * 100 = 60

60 skittles are in the bag

if (x-10) is a factor of f(x), which of the following must be true? (50 points)

A. Neither x= -10 or x=10 are roots of f(x)
B. f(-10)=0
C.f(10)=0
D. Both x=10 and x=-10 are roots of f(x)

Answers

Answer:

C, f(10)=0

Step-by-step explanation:

Just replace x-10 into f

What is meant by Sets ?

Answers

Answer:

In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.

Fill in the blanks with one of the following symbols ∈, ∉, ⊆,
⊆, ⊂, or ⊄ to make each statement true.

6 ______{f, g. h, i,j, k, l}

Answers

E thank you your welcome

Cuál es grado absoluto de

3x²yz²/4

Answers

Answer:

i dont speak espanish puto

Step-by-step explanation:

Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase?

Answers

Answer:

1.99c + 59 ≥ 75, where c ≥ 8.04

Step-by-step explanation:

Which expression is equivalent to (9+52) - 3(6x)?
A.) -23x+9
B.) -13x+9
C.) 11x+6
D.) 14x+12

Answers

(9+52) -3(6)x
(61)-3(6)x
61-3(6)x
61-18x
-18x+61

Points S, Q, R, and T all lie on the same line; Given. Arrows are drawn from this statement to the following three statements. Statement 1: The measure of angle SQT equals 180 degrees; Reason 1: Definition of a Straight Angle. Statement 2: The measure of angle SQV plus the measure of angle VQT equals the measure of angle SQT; Reason 2: Angle Addition Postulate. Statement 3: The measure of angle SQV plus the measure of angle VQT equals 180 degrees; Reason 3: Substitution Property of Equality. Lines UV and WZ are parallel; Given. An arrow is drawn from this statement to the following statements. Statement 4: The measure of angle VQT plus the measure of angle ZRS equals 180 degrees; Reason A. Statement 5: The measure of angle SQV plus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS; Reason B. An arrow also points from Statement 3 to Statement 5. An arrow from Statement 5 points to the following statements. Statement 6: The measure of angle SQV plus the measure of angle VQT minus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS minus the measure of angle VQT, the measure of angle SQV equals the measure of angle ZRS; Reason C. Statement 7: The measure of angle SQV is congruent to the measure of angle ZRS; Definition of Congruency.

Which theorem accurately completes Reason A?

Alternate Interior Angles Theorem
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
Same-Side Interior Angles Theorem

Answers

9514 1404 393

Answer:

  (d)  Same-Side Interior Angles Theorem

Step-by-step explanation:

Of the offered choices, only one deals with supplementary angles:

  Same-Side Interior Angles Theorem

_____

A diagram would be helpful. We have to assume here that WZ passes through R, and that Z is on the same side of ST as is V. If that is not the case, then the problem makes no sense.

4. On Monday, a department store sold 30 white and blue sweaters in total. If a white sweater is 398 baht, and a blue sweater is 420 baht, the total sales are 12,424 baht. How many sweaters in each color did this department store sell?

Answers

The number of white sweaters will be 8 while the number of blue sweaters will be 22.

Let white sweaters be represented by w.Let blue sweaters be represented by b

Therefore, the equation to solve the question will be:

b + w = 30 .....i

420b + 398w = 12424 .... ii

From equation i, b = 30 - w

Since 420b + 398w = 12424

420(30 - w) + 398w = 12424

12600 - 420w + 398w = 12424

Collect like terms

- 420w + 398w = 12424 - 12600

-22w = - 176

w = 176/22 = 8

Since b + w = 308

b = 30 - 8 = 22

Therefore, there are 8 white and 22 blue sweaters.

Read related link on:

https://brainly.com/question/25734188

A new bank customer with ​$3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.3% How much interest will the customer earn in 30 years

Answers

We must use the simple interest formula which is: A = P(1+rt) where

A = output amount , P = initial amount, r = rate as a decimal, and t = time.

so in this case we would write:

A(30) = P(1+rt) = 3000(1 + 0.013(30)) = 4170

We then see that A(30) is equal to $4170 at 30 years.

What are the roots of the equation?
5x^3 + 45x^2+ 70x = 0

A) -2, 0, 7
B) -7, -3, 0
C) -7, 0 , 2
D) 0, 2, 7

Answers

Answer:

D) 0, 2, 7

Step-by-step explanation:

Hope this helps

Can anyone help me with this question?

Answers

Answer:

sorry I can't I am too young

Step-by-step explanation:

Solve for x



………………..

Answers

move constant to the right

calculate

divide both sides

Find the slope of the line that passes through each pair of points (8,2) (8, -1)

Answers

Answer:

Undefined

Step-by-step explanation:

Use the following formula to solve for slope:

[tex]\frac{y_2-y_1}{x_2-x_1} =m[/tex]

[tex]m=\frac{(-1)-2}{8-8}[/tex]

[tex]m=\frac{-3}{0}[/tex]

The equation is not a function and therefore the slope is undefined because there are multiple y values for a single x value.

Twenty five less than two times x is equal to 6

Answers

25(insert the less than sign here)2x=6

Jared got 15.00 from his mom. He all ready had some money in his pocket. He then bought a dvd for 12.95 Write an expression on how much Jared has left

Answers

Answer:

$15.00 - $12.95 = $2.05

Step-by-step explanation:

Jared has $2.05 left

please help me with this. I will give brainliest to whoever gets the question right. attachment below.

Answers

Answer:

22100

Step-by-step explanation:

First you would add the truckloads of concrete for both playgrounds (3 5/8 + 3 5/8 + 1 9/10). Then you would divide that by 1/2. Finally multiply that number by 2000. (Pls mark me the brainliest)

PLEASE HELP IT’S DUE TMR!!

Answers

Answer:

(a) 1.0792 x 10³

(b) 3.769 x 10³

(c) 9.985 x 10³

This should be the answer to the problems, the rounding part got me confused for a second.

Significant digits are numbers after the decimal that aren't 0. So the 1.0792, the 0 isn't a significant digit.

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