4m 2+ m - 17 = 0 how to solve step by step

Answers

Answer 1

Answer:

The solutions for this quadratic equation are [tex]m_1 = 1.94, m_2 = -2.19[/tex]. Bhaskara was used to solve.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

We have the quadratic equation:

[tex]4m^2 + m - 17 = 0[/tex], which has [tex]a = 4, b = 1, c = -17[/tex].

Then

[tex]\Delta = (1)^{2} - 4(4)(-17) = 273[/tex]

[tex]m_{1} = \frac{-1 + \sqrt{273}}{8} = 1.94[/tex]

[tex]m_{2} = \frac{-1 - \sqrt{273}}{8} = -2.19[/tex]

The solutions for this quadratic equation are [tex]m_1 = 1.94, m_2 = -2.19[/tex]. Bhaskara was used to solve.


Related Questions

HELP ME PLEASEEEEEEEEEEEEE

Answers

Answer:

406

Step-by-step explanation:

hii :)

so to find the area we're going to find the area of the shapes and add them.

both 14 by 7 faces: 98*2=196

both 5 by 14 faces: 70*2=140

both little squares: they are 7 by 5 because the first shape would fold over so they would be equal. 35*2=70

adding them together: 196+140+70=406

hope this helped!

Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?

Answers

Answer:

48

Step-by-step explanation:

One dozen is 12.

12 x 4 = 48

Name the special segment.

Answers

Answer:

Perpendicular bisector

Step-by-step explanation:

Have a great day!!

Solve this equation for x. Round your answer to
the nearest hundredth.
6 = ln(x + 4)

Answers

Answer:

x ≈ 399.43

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]log_{e}[/tex] (x + 4) = 6 , then

x + 4 = [tex]e^{6}[/tex] ( subtract 4 from both sides )

x = [tex]e^{6}[/tex] - 4 ≈ 399.43 ( to the nearest hundredth )

9k - 18 = - 6 Can you help with this Plzzzz!!!

Answers

Answer:

Step-by-step explanation:

im assuming were solving for k so we wanna get it by itself

9k - 18 = -6

start by adding 18 to both sides

9k = 12

then divide both sides by 9

k = 12/9

hope this helps <3

Answer:

the answer is

k= 4/3

Step-by-step explanation:

9k-18=-6

9k=-6+18

9k=12

k= 12/9

simplify it which gives k=4/3 or in decimal form 1.333

Please help me answer this ASAP!

Answers

Answer: z=25 x=114

Step-by-step explanation:

Is 4_4 greater than 7_8

Answers

Answer:

Yes

Step-by-step explanation:

4/4 is the same thing as 4 divided by 4 which equals 1

7/8 is the same thing as 7 divided by 8 which equals 0.875

Since 1 > 0.875, 4/4 > 7/8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Hi help me out thank youu love

Answers

Answer:

636

Step-by-step explanation:

SA=2LW+2LH+2WH

SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636

Answer:

The answer is 636

Step-by-step explanation:

Brainliest maybe?

:)

Help with this question!Please

Answers

Step-by-step explanation:

The given angle is a 90° . Therefore the sum of both angles is 90° .

> 40 + x = 90

> x = 90 - 40

> x = 50

Solution 2 ;-

> 20 + x = 90

> x = 70

3 2/3 - 1 1/4 what’s the answer

Answers

Answer:

95/12 as an improper fraction.

Answer:

[tex]\frac{29}{12}[/tex] or 2 [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2, then determine the diameter of the circle that contains AH. (section 10.6 question 5 in geometry math nation)

Answers

Answer:

Diameter of the circle = 7

Step-by-step explanation:

The exact question is as follows :

Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2

To find - determine the diameter of the circle that contains AH.

Proof -

Given that,

AH = 6

RC = 2

Let us denote,

CB = x

So,

RB is the radius of the circle. It gives the value x + 2

As AH = 6

⇒AC = CH = 3

Also,

BH is the radius,

So, BH = x + 2

Now,

In triangle CBH,

BH² = CB² + HC²

⇒(x+2)² = x² + 3²

⇒x²+2² + 4x = x² + 9

⇒4 + 4x = 9

⇒4x = 9 - 4

⇒4x = 5

⇒x = 5÷4

⇒x = 1.5

So,

Radius = x + 2

           = 1.5 + 2 = 3.5

⇒Radius = 3.5

As we know,

Diameter = 2×Radius

                = 2×3.5

                = 7

Diameter of the circle = 7

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The prom is in need of a floral archway, such as the one below.

Segment RC is the perpendicular bisector of segment AH.

If AH = 6 and RC = 2.

Let CB be x.

Then the radius RB will be x + 2

BH = x + 2

Then by the Pythagoras theorem, we have

BH² = CB² + HC²

⇒ (x + 2)² = x² + 3²

⇒x² + 4 +4x = x² + 9

⇒ 4x = 5

⇒ x = 1.25

The radius will be

r = x + 2

r = 1.25 + 2

r = 3.25

Then the diameter will be

Diameter = 2 × r

Diameter = 2 × 3.25

Diameter = 6.5

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

What is the value of this expression?
-9= 3 x [6 x 3 – (1 + 4)]
A. -63
B. -59
O C. -51
D. -39

Answers

Answer:

I think it's -51

Step-by-step explanation:

I'm not entirely sure. But it is my best guess.

A line passes through the points (4, 9) and (-9, -5).
Find the slope of the line.

Answers

Answer:

14/13=1.08 (rounded up)

Step-by-step explanation: Change in Y/ Change in x

34 is not solution because it is less than 35​

Answers

Answer:

True very true

Step-by-step explanation:

yes this is true ! good job

Can you help me with this, please? Thanks in advance ​

Answers

Answer:

∠TRU is supplementary with ∠PQS as SQ║TR.

Supplementary angles add up to 180°.

m∠TRU = 180° - 82° = 98°

Consider ΔRTU

∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:

m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°

<TRU

180-<PQS180-8298°

Sum of 2 interiors =exterior

<RTU

155-9857°

Find one value of x for which h(x)=4 and find h(4)

Answers

Hp666799vvhnvrjnbbhhgvvvvvvvvvvvvgggvvvvvvvvvvvvv

Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point- slope form is y + 1 = (x – 8). ​

Answers

Answer:

B?

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

no idea what the guy on top is saying

3^3 x 3 ^ (y-2) = 3 ^-2 , the value of y is

Your answer​

Answers

Answer:

y = -3

Step-by-step explanation:

TO FIND :-

Value of y

FACTS TO KNOW BEFORE SOLVING :-

A simple law of exponents which will be used to solve the problem :-

[tex]x^a \times x^b = x^{a+b}[/tex].

SOLUTION :-

[tex]3^3 \times 3^{(y-2)} = 3^{-2}[/tex]

[tex]=> 3^{3+y-2} = 3^{-2}[/tex]

[tex]=> 3^{y+1} = 3^{-2}[/tex]

Bases are same in both sides of equation. So , their powers must be equal to each other.

[tex]=> y + 1 = -2[/tex]

[tex]=> y = -2 - 1 = -3[/tex]

By what percent will the product of two numbers decrease if one of them is decreased by 20% and the other is decreased by 50%?

Answers

Answer:

(x - .20)(x - .50)

[tex]x^{2}[/tex] = (.20)(.50)

[tex]x^{2}[/tex] = 0.1

x = [tex]\sqrt{ .1[/tex]

x = .32

the product of two numbers decrease by 32%

Find the Area of the figure below, composed of a parallelogram and one
semicircle. Rounded to the nearest tenths place

Thanks!

Answers

Answer:

300.5 = 300

Step-by-step explanation:

area= base x height (parallelogram)

area= [tex]\frac{\pi r^2}{2}[/tex] (semicircle)

parallelogram: 11 x 20 = 220

semicircle: [tex]\left[\begin{\frac{22(8^2)}{7}}\right] \frac{1}{2}[/tex]

=> [tex]\frac{1408}{14}\\[/tex]

=> 100.5

therefore 100.5 + 220 = 300.5-ans.

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

sqrt41

Step-by-step explanation:

a^2+b^2=c^2

25+16=41

sqrt41

Answer:

6.40312

Step-by-step explanation:

Why did the farmer open a bakery?

Answers

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...

While developing x-bar and R charts, the manager took 10 samples each of size 6. The average of sample means was 3.2. The average range value was 0.6. What will be the value of UCL for the R-chart?
a. 1.2
b. 1.4
c. 1.5
d. 1.7

Answers

Answer:

Option a. 1.2 is the correct answer

Step-by-step explanation:

Given the data in the question;

sample size n = 10

sub group = 6

The average of sample means x" = 3.2

Average range value R' = 0.6

the value of UCL for the R-chart = ?

To get the value of UCL for the R-chart, we say;

[tex]UCL_R[/tex] = D₄ × R'

from table of constants "Tabular values for x-bar and range charts

for size 6, the factor for control limits for range D₄ = 2.004

so we substitute  

[tex]UCL_R[/tex] = 2.004 × 0.6  

[tex]UCL_R[/tex] = 1.2024 ≈ 1.2  

Hence, Option a. 1.2 is the correct answer.

Factor 6x^2 + x − 2

Answers

Answer:

(2−1)(3+2)

Step-by-step explanation:

Rewrite in product form

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

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

y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′′(0) = 0

Answers

Answer:

y(t) =  3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]

Step-by-step explanation:

To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0

Formula used -

L{δ(t − c)} = [tex]e^{-cs}[/tex]

L{f''(t) = s²F(s) - sf(0) - f'(0)

L{f'(t) = sF(s) - f(0)

Solution -

By Applying Laplace transform, we get

L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}

⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)}  − 4L{δ(t −5)}

⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]

Now,

Let

[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]

By Comparing, we get

A + B = 0 and 3A + 2B = 1

⇒A = -B

and

3(-B) + 2B = 1

⇒-B = 1

⇒B = -1

So,

A = 1

∴ we get

[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]

So,

Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]

⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]

By applying inverse Laplace , we get

y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]

⇒y(t) =  3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]

It is the required solution.

What is the volume of a cylinder with a height of 16.5 in and a base with a diameter of 17.2 in, to the nearest tenth of a cubic inch?

Answers

V=S(base)*h=pi*r2
V=pi*r2*h
V=3,14*(half of diameter in square)8,75in square*16,5
V=3,14*8,75(in square)*16,5in
===3966,7
This is correct!!!Im pretty sure!!!☺️

Answer: 3833.8 in^3

Step-by-step explanation:

trust me bro i pinky promise

A taxi driver from a certain company charges $ 150 for stopping and loading passengers and then $ 30 for every kilometer traveled.
a) Determine the linear function that relates the fare and the kilometers
tours.
b) How much should a person who travels 20km pay?

Let x be the number of kilometers traveled by a person in the taxi.

Answers

Answer:

a) linear function =  150 + 30x represents 1km

    and 150 + 60x represents 2km We can therefore remove the ones and even factor 15 and 3 into

3(5+1x)

b)  y = 2/3x + 225

Can be factored from 2/3 (30x+75)  and simplified to  2/3(3x+15/2)

Step-by-step explanation:

if 150 stop and 30 for each mile

we show zero on each axis and show the y intercept at 150

The X axis should determine time or distance travelled

So if showing distance we show miles in 10,20,30,40,

and costs 0,30,60,90 but if 150 applies to any passengers entering vehicle and all journeys then we start graph at $ cost = 150 and go up by 30 showing 150.180.210.240  for the data for the y axis/

Therefore 20k is 2/3 km and we can show 2/3 as our multiple.

2/3 of 225 is 150 to find we flip 3/2 x 150 = 225

y = 2/3 ( 30x + 225) and we have our equation for b

y = 2/3x + 225

What is the area of this figure?

Answers

Answer:

416

Step-by-step explanation:

since this is a trapezoid, you would calculate the area by the formula

(a+b )h/2 where h is the height and a and b are the 2 bases

When you plug the values in you get the answer as 416

Hope this Helps!

Why did the physiocrats oppose mercantilism?

The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

Answers

Answer:

Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

Complete the table to find the MAD of the data set.

Answers

Answer:

15

Step-by-step explanation:

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