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

can someone help me please i need to get this right

Answers

Answer:

If there are 2 quarters for every 3 nickels,

then there are [tex]45*\frac{2}{3} =30[/tex] quarters.

If there are 2 dimes for every quarter,

then there are [tex]30*2=60[/tex] dimes.

If the number of pennies and nickels together are equal to the number of dimes, then there are [tex]60-45=15[/tex] pennies.

if you and your friends want food and if you have 2 friends and you buy one pizza and the pizza has 9 pieces how many pieces of pizza does each person get?​

Answers

Answer:  4 1/2 slices/friend

Step-by-step explanation:

One pizza = 9 slices

9 slices/2 friends = 4 1/2 slices/friend

Answer:

3

Step-by-step explanation:

because 9×3=3

2 friends and me

Isabelle ran a distance of about 26 miles during a marathon. In other countries, kilometers is used to measure length. There are approximately 8 kilometers in 5 miles.

Which measurement is closest to the number of kilometers Isabell ran?

Answer
A
16.3 kilometers.


B
41.6 kilometers.


C
7.2 kilometers.


D
53.5 kilometers.

Answers

Answer:

Step-by-step explanation:

b

the reciprocal of 11/12​

Answers

Answer:

12/11

Step-by-step explanation:

just turn it around

Just make it 12/11


How it’s the answer:
I agree just turn it around

The equation P=4s represents the perimeter P of a square with side length s. What is the perimeter of a square with a side length of 5ft ​?

The perimeter is.

Answers

Answer:

20 feet

Step-by-step explanation:

s= side

P= 4s

I our case, s is 4, so 4*5 is 20.

Hence,

P=20

Hope this helps!

P = (x < x <5)
List the element of this set given​

Answers

Set x<5 = sagutan mo apapapdifuv

The slope of the line that passes through the points (0,3) and (5,13) is

Answers

Answer: The slope is 2

Step-by-step explanation:

The slope is the Rise (the change in y) over the Run (the change in x).

We can calculate the Rise and Run from the two given points:

(0.3) and (5,13)

Rise = (13 - 3) = 10

Run =  (5 - 0) = 5

Rise/Run = 10/5 = 2:  the slope is 2.

The equation for this line is y = 2x + b.  The y-intercept, b [from the general form y=mx+b (where m is the slope)]  is the value of y when x=0.  The point (0,3) says y=3 when x=0, so b = 3.

y = 2x + 3.

Bonie reduced the size of a photo to a height of 4 in. what is the new width if it was orginally 16 in tall and 8 in wide?​

Answers

Answer:

i need help with this one too

Step-by-step explanation:

Answer:

2 inches

Step-by-step explanation:

I hope it helps you!

helpppppp plss thanks​

Answers

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

1 angle and 5 angle are what kind of angles

Answers

Answer:

They r corresponding angles.

What to do after combining terms?

Answers

Answer: I might be wrong but...

x = 2 1/3

Step-by-step explanation:

1 1/4x + 3 = 4 3/4 + 1/2x

- 1/2x                      -1/2x

3/4x + 3 = 4 3/4

        - 3    - 3

3/4x = 1 3/4

3/4x / 3/4 = 7/4 / 3/4

x = 2 1/3

2 X a =11+11 ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

2 × a = 11 + 11 ---> 2a = 22 ---> a = 22/2 = 11

Follow me and hope it helps

#The spirit of learning

Can some one please help me please

Answers

Answer:

j(10) (÷} =÷9

so let's check 89÷9= 9

-1/5 x 15/16 get 70 pts if u answer thisss tysmmm<3

Answers

Answer:

[tex]\frac{-3}{16}[/tex]

Step-by-step explanation:

[tex]\frac{-1}{5}[/tex] × [tex]\frac{15}{16}[/tex]

=> [tex]\frac{-15}{80}[/tex]

=> [tex]\frac{-3}{16}[/tex]

Hoped this helped.

someone plz help me!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

In the given set of questions regarding the concept of division, it is important to understand the parts of a division problem.

Definitions:

In a division problem such as 15 ÷ 3 = 5:

15 represents the dividend, which is the number being divided into groups. 3 represents the divisor, which is the number of groups that divides the dividend.  5 represents the quotient, which is the result of dividing the dividend and the divisor. Solution:

Now that we have defined the parts of a division problem, we can proceed to matching the division problems to its corresponding representation of equal groups.

1.) 15 ÷ 3 = 5 "There are 5 equal groups of 3."  

If you multiply the quotient, 5, by the divisor, 3, it results in the dividend: 5 × 3 = 15. This occurs because multiplication is the opposite mathematical operation of division.  

2.) 45 ÷ 5 = 9 "There are 9 equal groups of 5."  

      9 equal groups of 5 = 9 × 5 = 45.

3.)   8 ÷ 4 = 2 "There are 4 equal groups of 2."  

      4 equal groups of 2 = 4 × 2 = 8.

4.) 18 ÷ 6 = 3 "There are 3 equal groups of 6."  

      3 equal groups of 6 = 3 × 6 = 18.

please is for today and fast

Answers

Answer:

slope= [tex]\frac{2}{3}[/tex] or 0.6

y-intercept= -1

y= 0.6x+ -1

Step-by-step explanation:

slope= [tex]\frac{rise}{run}[/tex]

the y-intercept is where the line crosses the y axis

the equation for a line is y=mx+b where m is slope and  b is y

Answer:

Slope: 1.5

Y-intercept: (0,-1)

Equation of the line: y=1.5x-1

Step-by-step explanation:

Slope=

change of y/change of x=

3/2 (or 1.5)

Equation of the line:

y=1.5x+b

-1=1.5(0)+b

-1=b

y=1.5x-1

:') kdhsafhiusijuasjksavbaubdhbsaiuvbasofa

Answers

Answer:

reatsrhgfdwdqewrgtyj :'(

Step-by-step explanation:

could you provide the polygons so I can answer?

podria proporcionar el poligono que puedo responder?

2m+m=24
[tex]2m + m = 24[/tex]
I don't know ​

Answers

Answer:

m = 8

Step-by-step explanation:

2m + m = 24 ( collect like terms on left side )

3m = 24 ( divide both sides by 3 )

m = 8

Answer:

m = 8

Step-by-step explanation:

2m + m = 24

3m = 24

(3m)/3 = (24/3)

m = 8

Check:

2*8 + 8 = 24

16 + 8 = 24

Which is the better buy in each problem??

Answers

Answer:

1 - quarts of juice for 5.82 (the first one)

2 - 9.84 for a 12 pack of batteries (the second one)

3 - 24-pack of pencils for 2.64 (the first one)

4 - $2.46 for a 12-ounce jar of jam (the first one)

Step-by-step explanation:

Have a nice day

could someone please help me on one of these and explian to me too? plz show work

Answers

Answer:

3) rate of change = -5/4

4) rate of change = 3

5) rate of change = 1

6) steepest slope = #4

7) Please see the attached graph and explanation below

8) Please see the attached graph and explanation below

Step-by-step explanation:

Note:

I will do questions 3, 4, 6, 7, and 8, and will let you work on question 5 (since it involves the same process of solving for the rate of change as questions 3 and 4).  However, the rate of change for question 5 is 1.  

3) Calculate the Rate of Change from the Graph:

The rate of change is essentially the same as the slope of a linear equation, where it represents the ratio of a change in y to a corresponding change in x.  

In order to solve for the rate of change, choose two points from the given graph.  

Let (x₁, y₁) = (0, 200)

     (x₂, y₂) = (80, 100)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (100 - 200)/(80 - 0)

m = -100/80

Reduce to lowest terms by dividing the numerator and the denominator by 20/20:

m = -5/4  

Therefore, the rate of change is -5/4.  

4) Calculate the Rate of Change from the Table:

Similar to what we did in question 3, choose two ordered pairs from the given table:

Let (x₁, y₁)  = (0, -1)

     (x₂, y₂) = (3, 8)  

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{8 - (-1)}{3 - 0}[/tex]

[tex]m = \frac{8 + 1 }{3}[/tex]

[tex]m = \frac{9}{3}[/tex]

m = 3

Therefore, the rate of change from the given table is 3.

6) Which linear function has the steepest slope?    

The positive-sloped lines whose rate of change has the highest value will have the steepest slope.  For lines with negative slopes (downward-tilting lines), the highest absolute value for its rate of change will have the steepest negative slope.  

Hence, the linear function with the steepest slope is #4 because the value of y changes by 3 units for every unit of change in x values.    

7) Graph the equation: y = -6x - 4:

The linear equation, y = -6x - 4, where the slope, m = -6, and the y-intercept is (0, -4).  

To graph this equation, start by plotting the y-intercept. Then, use the slope, m = -6/1 (down 6 units, run 1 unit to the right) to plot other points on the graph. In doing so, your next graph should occur at point, (1, -10). Connect the two points to create a line that will represent the given equation,  y = -6x - 4.

Technically, two points are sufficient enough to connect and create a line with. Please see the attached screenshot of the graph for y = -6x - 4.

8) Graph the following equation: 3x - 4y = 12

The given linear equation is in its standard form, Ax + By = C. It is easier to graph when the equation is in its slope-intercept form, y = mx + b.

In order to transform the given standard equation to slope-intercept form, start by subtracting 3x from both sides:  

3x - 4y = 12

3x -3x - 4y = -3x + 12

-4y = -3x + 12

Divide both sides by -4 to isolate y:

[tex]\frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]

y = ¾x - 3  ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is (0, -3).

Graph:

Similar to how we graphed the equation from question 7, start by plotting the y-intercept (0, -3) on the graph. Then, use the slope, m = ¾ (3 units up, 4 units run), to plot other points on the graph.  Your next point occurs at the x-intercept, (4, 0). The x-intercept is the point on the graph where it crosses the x-axis.  Connect the two points to create a line that will represent the given equation, 3x - 4y = 12.

Please see the attached screenshot of the graph for 3x - 4y = 12.  

Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest tenth. Using this equation, find the profit, to
the nearest dollar, for a selling price of 14.25 dollars.

Answers

Regression equations are used to represent the relationship between the x and y variables.

The quadratic regression equation is [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]The profit for a selling price of $14.25 is $812

To determine the quadratic regression equation, we make use of a graphic calculator

Using a graphing calculator, we have the quadratic regression equation to be [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]

When the selling price is $14.25, it means that:

[tex]\mathbf{x = 14.25}[/tex]

So, we have:

[tex]\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}[/tex]

Evaluate the exponents

[tex]\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}[/tex]

Evaluate the products

[tex]\mathbf{y =-1301.0214375+3088.27425 -975.561}[/tex]

Evaluate like terms

[tex]\mathbf{y =811.6918125}[/tex]

Approximate to the nearest dollar

[tex]\mathbf{y =812}[/tex]

Hence, the profit for a selling price of $14.25 is $812

Read more about regression equations at:

https://brainly.com/question/7656407

write down, all the multiples of 8 less than 80​

Answers

Answer:

The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and 72.

Answer:

8, 16, 24, 32, 40, 48, 56, 64, 72

Step-by-step explanation:

8, 16, 24, 32, 40, 48, 56, 64, 72

Emily says that the negative sign means opposite of, so -(-45) means the opposite of negative 45, which is 45. Is Emily correct?

Answers

Answer: Yes, No Submit ·

Step-by-step explanation:

Draw a line PQ. Take any point outside it and construct a line parallel to the given line through this point​

Answers

Parallel means same slope, so in the image, line PQ is connected by a line. The other point I made has a line parallel through it.

Will give brainliest

Answers

See drawing attached below.

Corresponding angles and sides are congruent to each other. Thus,

∠L corresponds to ∠H

∠J corresponds to ∠P

HU corresponds to LO

PO corresponds to JU

LP corresponds to HJ

∠U corresponds to ∠O

Answer:

thanks for the points bye bye for now love u fin and I will

the sum of 2 numbers is 99 and their quotient is 8What are the 2 numbers

Answers

Answer:

11 and 88

Step-by-step explanation:

I just set up a system of equations:

x + y = 99,

x/y = 8

I decided to use the method of substitution which is expressing one variable in terms of the other and substituting it into the other equation.

To use substitution, I changed the second equation to:

x = 8y

And then, I substituted that value for x into the first equation:

8y + y = 99

And that means:

9y = 99

Hence, y = 11. To find the second number, just substitute 11 for y in the first equation to get:

x + 11 = 99

And that means x = 88.

SIMPLE INTEREST:
Jessie deposited P150,000 in an account that pays 3% simple interest.How much interest will he earn after 10 years?​

Answers

Answer:

use the formula( I=PTR/100)



4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.

Answers

Answer:

87

Step-by-step explanation:

earning rate (R) = $5/hr

total (T) = $287

time (t) = 40 hr

tips = T - Rt

= $287 - $5*40

$87

Dan bought 1/8 of a pound of iellybeans and 7/8
pound Of gummy bears. How much candy did he buy?

Answers

Answer:

1 pound or 8/8

Step-by-step explanation:

1/8 + 7/8 = 8/8 or 1 pound

Please help…I will award brainliest!

Answers

Answer:

y = - 3x + 15

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