A quadratic equation is shown below:

6x2 + 17x + 9 = 0

Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)

Part B: Solve 4x2 − 4x + 1 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

(10 points)

Answers

Answer 1

Answer:

x = -0.70,-2.212.

Step-by-step explanation:

(a) The quadratic equation is :

[tex]6x^2 + 17x + 9 = 0[/tex]

Here,

a = 6, b = 17, c = 9

Put all the values in the quadratic formula.

[tex]x=\dfrac{-17+\sqrt{17^2-4\times 6\times 9}}{2(6)},\dfrac{-17-\sqrt{17^2-4\times 6\times 9}}{2(6)}\\\\x=-0.70,-2.12[/tex]

So, the solution of the given equation are -0.70,-2.212.

(b) Equation is : [tex]4x^2 -4x + 1 = 0[/tex].

Here, a = 4, b = -4 and c = 1

So,

[tex]x=\dfrac{-(-4)+\sqrt{(-4)^2-4\times 4\times 1}}{2(4)},\dfrac{-(-4)-\sqrt{(-4)^2-4\times 4\times 1}}{2(4)}\\\\x=0.5,0.5[/tex]

Hence, this is the required solution.


Related Questions

A shopkeeper has enough money to buy 40 books each costing Rs.125. How many books he can buy if he gets a discount of Rs.25 on each book ?​

Answers

Answer:

48

Step-by-step explanation:

first , muntiply 40*125 = 5000( cost of 40 books in rs 125 each)

125-25 = 100

multiply 40*100= 4000

5000-4000= 1000

divide 1000/125 = 8

therefore , 40+8= 48

Solve this equation : 12p-5=25
write step by step.​

Answers

Answer:

P=2.5

Step-by-step explanation:

12p = 25+5

12p = 30

P =30/12

Simplification:

P= 15/6

= 5/2 = 2.5

Answer: p= 2.5


Step 1: Rewrite equation

For the first step, I find it helpful to simply rewrite the equation, in order to better understand what we will be working with.

12p-5=25

Step 2: Get 12p alone on left side

Our goal in solving this problem will be to find the numerical value of p. To do so, we will need to get p alone on the left side. Our first step will be to add 5 on both sides, to get 12p alone on the left side of the equation. It is only after we do this that we can solve for p.

12p-5=25
12p=30

Step 3: Solve for p

Now let’s find our final answer! We can do so by dividing 12 on both sides, so that 12 is no longer being multiplied by p. This will bring us our answer.

12p=30
p=2.5

This is your answer. P is equal to 2.5. Hope this helps! Comment below for more questions.

A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression
shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00
before any payment is made to their competitors?
0 320-7.500
0 320+ 7.500
7500-320
07500 + 320 help!

Answers

320-7.50p is the correct answer :D

Answer:

320-7.500

Step-by-step explanation:

what are. the coordinates of the quadrilateral STUV when reflected over the X-axis.

S(3,4), T(3,1), U(-2,1, V(-2,4) ​

Answers

Step-by-step explanation:

hi friend I can help you in this geometry work via Wazapp

Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicatedvalue of x to be less than 0.0001.

Answers

Answer:

Fifth degree polynomial

Step-by-step explanation:

Given data:

e^0.3

error = 0.0001

let the function ; f(x) = e^x

note : x = 0.3

The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2!  + x^3/3!  ---  + ∑ x^n/n!

= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- +  ∑ (0.3)^n/n!

Attached below is the remaining part of the solution

Which is the equation of a line parallel to the line with the equation: y = 14x + 2

y = -4x - 7

y = 4x + 2

y = 14x − 12

y = −14x + 3

Answers

Hi!

y = ax + b

y = 14x + 2 → a = 14 ∧ b = 2

Parallel lines have the same slope factor (a) so line parallel to the line with the equation y = 14x + 2 will be y = 14x - 12

Someone please help me ASAP!!! Worth 11 points

Answers

Answer:

A' = (-3, 0)

Step-by-step explanation:

The coordinates of point A are (-6, 2).

The translation adds 3 to x and subtracts 2 from y.

A'(-6 + 3, 2 - 2) = A'(-3, 0)

Answer: A' = (-3, 0)

Help and explain !!!

Answers

Answer:

7

Step-by-step explanation:

2(5) -3

10-3

7

Which table of values corresponds to the graph below?

Answers

Answer:

Step-by-step explanation:

No Graph

Ten years from now, Abdul will be twice as old as his son pavel ten years ago, Abdul was seven times as old as pavel how old are Abdul and pavel now?

Answers

Answer:

Age of Pavel = y - 10

→ x - 7y = -60. Now, Calculating X. Hence, Present age of Abdul = 38.

Step-by-step explanation:

hope this is helpful.

this is so ez guys cmon

Answers

Answer:

there are 6 units

hope this help

there are 6 units lol

PLEASE ANSWER IT CORECTLY

Answers

Answer:

Q24=A

25=B

26=A

Step-by-step explanation:

A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly​

Answers

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Help please? thank you

Answers

Answer:

Answer is A

Step-by-step explanation:

A is the correct answer

factor completely 8y2 + 6y + 1

Answers

Answer:

Step-by-step explanation:

8y²+6y+1

=8y²+4y+2y+1

=4y(2y+1)+1(2y+1)

=(2y+1)(8y+1)

2x+6=x-4
Solve this equation

Answers

The solution and answer are well written in the Pic above.

Answer:

x = 2

Step-by-step explanation:

2x  + 6 = x -4

Subtract 6 from both sides

2x  = x - 4 +6

2x = x + 2

Subtract 'x' from both sides

2x - x = 2

x = 2

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4

Answers

Answer:

In a product like:

a*b = 0

says that one of the two terms (or both) must be zero.

Here we have our equation:

x^2 + 12 = 7x

x^2 + 12 - 7x = 0

Let's try to find an equation like:

(x - a)*(x - b) such that:

(x - a)*(x - b)  = x^2 + 12 - 7x

we get:

x^2 - a*x - b*x  -a*-b = x^2 - 7x + 12

subtracting x^2 in both sides we get:

-(a + b)*x + a*b = -7x + 12

from this, we must have:

-(a + b) = -7

a*b = 12

from the first one, we can see that both a and b must be positive.

Then we only care for the option with positive values, which is x =3 or x = 4

replacing these in both equations, we get:

-(3 + 4) = -7

3*4 = 12

Both of these equations are true, then we can write our quadratic equation as:

(x - 3)*(x - 4) = x^2 + 12 - 7x

The correct option is the last one.

Answer:

d

Step-by-step explanation:

After substituting, what is the first step when evaluating vegy 4 2 when x 6?
O Multiply 3 by 5
O Add 5 and 3
Subtract 4.2 from 5
Add 3 and 4.2 hurry I'm being timedd!!!

Answers

Answer:

Multiply 3 by 5

Step-by-step explanation:

After substituting, what is the first step when evaluating x+3x-4.2 when x=5

Given:

x + 3x - 4.2

when x = 5

Substitute x = 5 into the expression

x + 3x - 4.2

= 5 + 3(5) - 4.2

= 5 + 15 - 4.2

= 20 - 4.2

= 16.8

x + 3x - 4.2, when x = 5 is 16.8

After substituting, the first step when evaluating x + 3x - 4.2 when x = 5 is Multiply 3 by 5

Solve for X.

-8x - 4(x - 4) = 88

Please show work

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\huge x=-6[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\-8x-4(x-4)=88\\-------------\\\rightarrow -8x-4x+16=88\\\\\rightarrow -12x + 16 = 88\\\\\rightarrow -12x + 16 - 16 = 88 - 16\\\\\rightarrow -12x = 72\\\\\rightarrow \frac{-12x=72}{12}\\\\\rightarrow \boxed{x=-6}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: x = -6

Step-by-step explanation: Start by changing the - 4 to plus a negative 4 so that you know you're distributing a -4 through the parentheses.

So we have -8x - 4x + 16 = 88.

Simplifying the left side further gives us -12x + 16 = 88.

Now subtract 16 from both sides to get -12x = 72.

From here it should be easy to find the x = -6.

What is the degree & leading coefficient?

h(t) = 0.2t^3 - 4t^2 +20t

Answers

Answer:

degree=3

coefficient=0.2

Find the length of line segment XY, assuming that M is the midpoint of XY

Answers

Answer:

Step-by-step explanation:

M is the midpoint. SO length of XM  equals length of MY

MY = XM

9x + 12 = 5x + 8

Subtract 12 from both sides

9x  = 5x  +8 - 12

9x = 5x  - 4

Subtract 5x from both sides

9x - 5x = -4

      4x = -4

Divide both sides by 4

x = -4/4

x = -1

XY = 5x + 8

     = 5*(-1) + 8

     = -5 + 8

XY = 3

MY = 9x + 12

     = 9*(-1)1 + 12

     = -9 + 12

MY = 3

X Y = 3+3

XY = 6


If you shift the quadratic parent function, f(x) = x2, right 10 units, what is the
equation of the new function?
A. g(x) = (x+ 10)
B. g(x) = x2 + 10
C. g(x) = (x - 102
D. g(x) = x2 - 10

Answers

Answer:

A.

Step-by-step explanation:

The equation of the new function is g(x) = f(x-10) = (x -10)²

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.

If the quadratic parent function, f(x) = x² moves right 10 units,

Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²

Learn more about graph here:

brainly.com/question/16608196

#SPJ2

solve: 7m + 12 = −4m + 78

Answers

7m + 12 = -4m + 78

7m + 4m = 78 - 12

11m = 66

m = 6

I hope you understand...

Mark me as brainliest...

What is the surface area

Answers

Calculate the area for each size of the cube.
So-
81+81
54+54
54+54
162+108+108

SA: 378 in

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.

Answers

Answer:

12^(3/2)

Step-by-step explanation:

(2x6)^3/2

2x6=12

12^3/2= 41.5692193817

Find X in this question

Answers

Answer:

Step-by-step explanation:

∠1 = 38    {Vertically opposite angles}

∠2 = 39 + 36 = 75

Exterior angle equals the sum of opposite interior angles.

x = ∠1 +∠2        

 = 38 + 75

x = 113

Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2}{3} * 5 = \frac{2}{3}\frac{3}{2} x \\[/tex]

x = 10/3

Pam laid three times as many tiles on Saturday as she laid on Sunday. If Pam laid 80 tiles over the weekend altogether, how many tiles did she lay on Saturday?

Answers

Answer:

Pam laid 60 tiles on Saturday and 20 on Sunday.

Step-by-step explanation:

Given that Pam laid three times as many tiles on Saturday as she laid on Sunday, if Pam laid 80 tiles over the weekend altogether, to determine how many tiles did she lay on Saturday the following calculation must be performed:

3X + X = 80

4X = 80

X = 80/4

X = 20

Therefore, Pam laid 60 tiles on Saturday and 20 on Sunday.

2a is five times bigger than B.
Circle the ratio a:b.

A. 10:1
B. 1:10
C. 5:2
D. 2:5

Answers

Answer:

The answer is 2:5

Step-by-step explanation:

The ratio of the variable a over b will be 5/2. Then the correct oprion is C.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

2a is five times bigger than b. Then the equation is given as,

2a = 5b

The ratio of the a: b is given as,

2a = 5b

a / b = 5 / 2

The ratio of the variable a over b will be 5/2. Then the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

The quotient of (x -3x3-3x2 - 10x + 15) and a polynomial is (x2-5). What is the polynomial?​

Answers

Answer:

(-3x -3 - 24x/(x²-5))

Step-by-step explanation:

(x - 3x³ - 3x² - 10x + 15) / p = x² - 5

(-3x³ - 3x² - 9x + 15) / p = x² - 5

p = (-3x³ - 3x² - 9x + 15)/(x² - 5) = -3x - 3 - 24x/(x² - 5)

- -3x³ + 15x

---------------------------------

0 - 3x² - 24x + 15

- - 3x² + 15

‐-----------------------------------

0 - 24x + 0

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