HELP IT'S DUE IN 18 MINUTES!

HELP IT'S DUE IN 18 MINUTES!

Answers

Answer 1

Answer:

Please check the explanation!

Step-by-step explanation:

As the discrimination expression is

[tex]b^2-4ac[/tex]

if

[tex]b^2-4ac\:<0[/tex]

then the equation has no real solution.

Given the equation

[tex]mx^2+3x+1-m=0[/tex]

by comparing the quadratic equation

[tex]\:ax^2+bx+c=0[/tex]

[tex]mx^2+3x+1-m=0[/tex]

we can observe that

[tex]a=m[/tex]

[tex]b=3[/tex]

[tex]c=(1-m)[/tex]

substituting the values in discrimination to find the values of m

so

[tex]3^2-4m\left(1-m\right)=0[/tex]

[tex]9-4m+4m^2=0[/tex]

[tex]4m^2-4m+9=0[/tex]

[tex]\frac{-4m+4m^2}{4}=\frac{-9}{4}[/tex]

[tex]-m+m^2=-\frac{9}{4}[/tex]

[tex]\left(m-\frac{1}{2}\right)^2=-2[/tex]

as

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

so solving

[tex]m-\frac{1}{2}=\sqrt{-2}[/tex]

[tex]m-\frac{1}{2}=\sqrt{-1}\sqrt{2}[/tex]    

[tex]m-\frac{1}{2}=\sqrt{2}i[/tex]              ∵  [tex]\sqrt{-1}=i[/tex]

[tex]m=\sqrt{2}i+\frac{1}{2}[/tex]

and also solving

[tex]m-\frac{1}{2}=-\sqrt{-2}[/tex]

[tex]m-\frac{1}{2}=-\sqrt{2}i[/tex]

[tex]m=-\sqrt{2}i+\frac{1}{2}[/tex]

As we know that

if

[tex]b^2-4ac\:<0[/tex]

then the equation has no real solution.

Therefore, for the values of [tex]m=\sqrt{2}i+\frac{1}{2},\:m=-\sqrt{2}i+\frac{1}{2}[/tex], for which the equation  [tex]mx^2+3x+1-m=0[/tex] will have no solution.


Related Questions

slope intercept form.Please help

Answers

Answer:

y2-y1/x2-x1 = 3-3/4-(-6) = 0/10

y = mx+b = 3 = 0(4) + B = B = 3

y = mx+b = y = 0x + 3

Step-by-step explanation:

If you know two points on a line, you can use them to write the equation of the line in slope-intercept form. The first step will be to use the points to find the slope of the line. This will give you the value of m that you can plug into y = mx + b. The second step will be to find the y-intercept.

BRAINLIEST 5 stars and Thanks <3 Fast and CORRECT answers!!

Answers

Answer:

7 is your answer your welcome

Step-by-step explanation:

I hope you do well on this quiz. lol, be my friend

Elevator 1 moved up 10 feet from the ground level. its position is labeled as +10. Elevator 2 moved down 5 feet from the ground level. It’s position is labeled as _____

Answers

Answer:

I believe your answer would be -5 because in the first part of the question, it tells you that ground level is 0. (by saying that when you go up 10 from ground level, you are at postitive (+)10)

so... if you go 5 down from ground level (0), it the same as 0-5 which is -5. hope this helps! :)

Step-by-step explanation:

Kelly divided of 5/7 a liter of plant fertilizer evenly among some smaller bottles. She put 1/5 of a liter into each bottle. How many smaller bottles did Kelly fill? Pls help

Answers

Answer:

3 bottles

Step-by-step explanation:

Given that :

Total liters of fertilizer = 5/7 litres

Amount put into each smaller bottle = 1/5 liters

Number of small bottles filled :

Total liters of fertilizer ÷ amount put into smaller bottles

5/7 litres ÷ 1/5 litres

5 /7 * 5 /1

= 25 / 7

= 3.57

Hence, 3 bootles was filled

ABC and XYZ are similar. Find the missing side length.

Answers

Answer:

56

Step-by-step explanation:

The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.

[tex]let \: \: ? = x[/tex]

[tex] \frac{7}{49} = \frac{8}{x} [/tex]

Now we solve with cross multiplication

[tex]7 x = 392 \\ x = 56[/tex]

Now we know the mystery number is 56

Help me please i will mark as brainliest

Answers

Answer:

2n-7=3n-3

Step-by-step explanation:

2n-7=3n-3

There are 2 n variable tiles and 7 -1 tiles for the first and 3 n variable tiles and  3 -1 tiles for the seconds.

A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.

What is the actual length of the trail in kilometers?


A) 1.3 kilometers

B) 3 kilometers

C) 6.75 kilometers

D) 9 kilometers

Answers

♡ The Question ♡      

A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.  

What is the actual length of the trail in kilometers?  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

C) 6.75 kilometers!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

The length of the actual trail is required in kilometers.

The actual length of the trail is C) 6.75 kilometers.

Scale diagrams

It is given that 2 centimeters on the map represents 3 kilometers of actual length.

[tex]2\ \text{centimeters}=3\ \text{kilometers}[/tex]

We need to find what 1 centimeter on the map represents.

So, we divide both sides by 2.

[tex]\dfrac{2}{2}\ \text{centimeters}=\dfrac{3}{2}\ \text{kilometers}=1.5\ \text{kilometers}[/tex]

The length of the trail is 4.5 centimeters in the map. So,

[tex]4.5\ \text{centimeters}=4.5\times 1.5=6.74\ \text{kilometers}[/tex]

Learn more about scale diagrams:

https://brainly.com/question/3489790

Which expression is correct?"The square of the sum of a number and 5, added to 3, then squared"

Answers

Answer:

5-n squared+3 squared

Step-by-step explanation:

If F ( x ) = 2 x - 1, find the zero of F -1( x ).

A) -1
B) 1/2
C) 1

Answers

Answer:

A.

Step-by-step explanation:

The Hu family goes out for lunch, and the price of the meal is $54. The sales tax on the meal is 6%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?

Answers

Answer:

The total cost of meal is $65.34

Step-by-step explanation:

Price of the meal = $54

Sales tax on meal = 6%

Tip given= 15% on pre-tax amount

We need to find total cost of meal.

First finding sales tax amount:

We need to calculate 6% of 54

[tex]6\% \ of \ 54\\=6\% \times 54\\=\frac{6}{100}\times54\\=3.24[/tex]

So, the sales tax would be $3.24

Now, we need to find tip amount

We will find 15% of 54

[tex]15\% \ of \ 54\\=15\% \times 54\\=\frac{15}{100}\times54\\=8.1[/tex]

So, the tip given would be $8.1

The total cost of meal = Price of meal + Sales Tax + Tip

                                      = 54+3.24+8.1

                                      = 65.34

So, the total cost of meal is $65.34

Each dimension of a parallelogram is multiplied by a positive number n. Write an expression for the area of the new parallelogram. Let b represent the base and h represent the height of the original parallelogram. Expression for the area of the new parallelogram:

Answers

Answer:

Area of the new parallelogram = n(b × h)

Step-by-step explanation:

Area of a parallelogram = Base × Height

Let

b = the base

h = the height of the original parallelogram.

Each dimension of a parallelogram is multiplied by a positive number n.

Write an expression for the area of the new parallelogram.

Area of the new parallelogram = Base × Height

Base = b * n

bn

Height = h * n

= hn

Area of the new parallelogram = bn × hn

= n(b × h)

Area of the new parallelogram = n(b × h)

There are two solid hemispherical objects made of clay having the same shape and size. If the total surface area of one hemispherical object is 462 square cm, find the total surface area of the sphere which is formed by attaching those two hemispherical objects.​

Answers

radius=7,tsa of spheres is 616sq.cm

hemisphere = 462 square cm
Radius=7cm
Now,
TSA of sphere=4×22÷7×7×7
=616 sq.cm

The area of a 2D form is the amount of space within its perimeter. The total surface area of the formed figure is 615.75216 cm².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the total surface area of one hemispherical object is 462 square centimeters, therefore, we can write,

The total surface area of the hemisphere = 3πr²

462 cm² = 3πr²

r² = 462/(3π) cm²

r² = 49.0197 cm²

r = 7 cm

Now, when the two hemispheres will be attached, the total surface area of the formed figure will be equal to the total surface area of a sphere,

Therefore, we can write,

Total surface area = 4πr²

                              = 4 × π × (7 cm)²

                              = 615.75216 cm²

Hence, the total surface area of the formed figure is 615.75216 cm².

Learn more about the Area here:

https://brainly.com/question/1631786

#SPJ2

Write an equation in point slope form of the line that passes though the point (6,6) and has a slope of m=3/2

Answers

6=3/2(6)+B I hope this helps but I’m not for sure I’m right

What is the slope of this line

Answers

Answer:

3/4

Step-by-step explanation:

you start at the y-intercept or 1 and move 4 to the right, then 3 up.

Answer:

3/4 is the slope

Step-by-step explanation:

rise over run

go up 3 and over 4 to find where the line plots its next point

Hope this Helps :)

A hockey puck has a diameter of 7.6 cm and a height of 3.4 cm. What is the volume of a cylindrical package containing six pucks? Express your answer to the nearest cubic centimeter.

Answers

Answer:

[tex]924.96\ cm^3[/tex]

Step-by-step explanation:

Given that,

The diameter of a hockey puck, d = 7.6 cm

Height, h = 3.4 cm

We need to find the volume of the volume of a cylindrical package containing six pucks.

Volume of 1 puck,

[tex]V=\pi r^2 h\\\\=3.14\times (3.8)^2\times 3.4\\\\=154.16\ cm^3[/tex]

Volume of 6 pucks,

[tex]V=6\times 154.16\ cm^3\\\\=924.96\ cm^3[/tex]

So, the volume of the 6 puck is [tex]924.96\ cm^3[/tex].

Given the dimensions of a single hockey puck, we want to find the volume of a cylindrical package containing six pucks. We will see that the volume must be 925 cm^3

So the volume of a cylinder of diameter D and height H is:

V = 3.14*(D/2)^2*H

Here we have:

D = 7.6cmH = 3.4cm.

Then the volume of each single puck is:

V = 3.14*(7.6cm/2)^2*3.4cm = 154.16cm^3

Then the volume of a package that contains 6 of these must have at least 6 times that volume:

6*V = 6*154.16cm^2 = 924.96 cm^3

Rounding to the next cubic centimeter we get 925 cm^3

So the volume of the package must be 925 cm^3

If you want to learn more about volume, you can read:

https://brainly.com/question/1972490

Two common envelope sizes are 3 1/2 in. x 6 1/2 in. and 4 in. x 9 1/2 in.
Are these envelopes similar? Explain.

*Using Similar Figures*

Answers

No these envelopes aren’t similar. If you add up the sides they both don’t equal the same. Making them non congruent.
The envelops aren’t similar

25 + 5w -1 0 + w
PLZ help me (i pomise i will mark brainliest)

Answers

Answer:

[tex]6w+15[/tex]

Answer:

6w+15

Step-by-step explanation:

You just simplify the expression

Joshua went kayaking. It cost him $ 15 to rent the kayak. It also cost $ 6 for each hour spent on the lake kayaking. Joshua spent 2 $\frac{1}{2}$
1
2​​ hours on the lake. How much was his total bill for the kayak rental and hours kayaking on the lake?

Answers

It cost $37 for 2 hours I think

Mr. Randall, a salesperson, earns a weekly salary of $300 plus a commission of 7% of his weekly sales of merchandise. Last week, Mr. Randall earned $426. This can be represented by the equation below, where s represents his total sales, in dollars, for the week.

Answers

Answer:

Step-by-step explanation:

Step one:

given data

we are told that weekly salary is $300

and a commission of 7% of the weekly sales

let the sales be s

7% of s = 0.07s

hence weekly commission = 0.07s

let the total earning be y

the linear model for Mr. Randall earnings is

y=300+0.07s

step two:

For the situation whereby he earned $426

the model is given as

426=300+0.07s

let us solve for s, the sales made

426-300=0.07s

126=0.07s

divide both sides by 0.07

s=126/0.07

s=1800

Hence he made sales of $1800 for that week

Anyone who knows how to do this right please

Answers

Answer:

13. 9.77 inches (rounded to 3 s.f.)

14. 249m² (rounded to 3 s.f.)

Step-by-step explanation:

13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2

[tex]\frac{80}{360}[/tex] × pi × 7 × 2 = 3[tex]\frac{1}{9}[/tex]pi

                       = 9.77 inches (rounded to 3 s.f.)

14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r

[tex]\frac{285}{360}[/tex] × pi × 10 × 10 = 79[tex]\frac{1}{6}[/tex]pi

                          = 249m² (rounded to 3 s.f.)

help me please gggg​

Answers

Ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg Ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg Ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Answer:

theres no question

Step-by-step explanation:

BRAINLIEST, THANKS, 5 STARS ! Correct and fast answers needed!!!!

Answers

Answer:

A=-10x,B=-4

Step-by-step explanation:

-5x*2=-10x

-2*2=-4

Please guys help!!!!

Answers

Answer:

There are 4 people in Table A.

Step-by-step explanation:

Let the number of people at Table A be x and the number of people in Table B be x + 2.

[tex]\frac{72}{x}[/tex] = [tex]\frac{108}{x+2}[/tex]

72(x+2) = 108x

72x + 144 = 108x

144 = 108x - 72x

36x = 144

x = 144 ÷ 36

x = 4

5. y=x-1
x+y= 3
anyone know this ?

Answers

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

If x=w find the perimeter of vwx A. 16 B. 19 C. 20 D. 22

Answers

Answer:

B

Step-by-step explanation:

Its the only odd number

Baker's Best Canned Biscuits contains 5 biscuits and costs $0.69 per can. Butter Bee Canned Biscuits contains 8 biscuits and costs $1.29 per can. Find the unit rate to determine which brand of biscuits is the best buy?

Answers

Answer:

Baker's Best

Step-by-step explanation:

Given data

For Baker's Best  

5 biscuits and costs $0.69 per can

The cost per  biscuits

=0.69/5

=$0.14 per  biscuit

For Butter Bee Canned

8 biscuits and costs $1.29 per can

The cost per  biscuits

=1.29/8

=$0.16 per  biscuit

Hence the best buy is Baker's Best which offers $0.14 per biscuit

please, brailiest, thanks, five star

Answers

Answer:

is there a question?

Step-by-step explanation:

rhank yuo sk muchhh oss grassiaas

what is 1/5-(-4/5)=

Answers

Answer:

1

Step-by-step explanation:

its literally just 1.

Why is it difficult to identify the slope of the line `6x-2y=12`?

Answers

Answer:

Prolly cause it's not in slope intercept form.

Step-by-step explanation:

To make the equation into slope-intercept form, first subtract 6x from both sides.

-2y = -6x + 12

Divide everything by -2.

y = 3x - 6

There is your slope-intercept equation. -6 is the y-intercept and 3 is the positive slope.

Please mark me as Brainliest.

For f(x) = 4x + 1 and g(x) = x2-5 find (f - g)(x).
A. - x² + 4x - 4
B. - x² + 4× + 6
C. 4 x² - 19
D. x² - 4x - 6 ​

Answers

Answer: B


equation: (4x + 1) - (x^2 - 5)
distribute the negative: (4x + 1) - x^2 + 5
combine like terms: -x^2 + 4x + 6
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