Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C. 3x2 8x â’ 10 = -8 D. -2x2 8x â’ 3 = 4.

Answers

Answer 1

The given question can be solve using quadratic formula.

The correct option is (c) [tex]3x^2 +8x -10=-8[/tex].

Given:

The given equation is,

[tex]x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}[/tex]---------------------------(1)

Write the general quadratic equation.

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

Write the quadratic formula.

[tex]x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}[/tex]------------------------------- (2)

Compare equation (1) and (2).

[tex]a=3\\b=8\\c=-2[/tex]

Substitute the value of [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] in general quadratic.

[tex]3x^2 +8x -2=0[/tex]

Subtract [tex]8[/tex] from each side of above equation.

[tex]3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8[/tex]

Thus, the correct option is (c) [tex]3x^2 +8x -10=-8[/tex].

Learn more about quadratic equation here:

https://brainly.com/question/17177510


Related Questions

The equation 5y = 6 represents purchasing tubs of yogurt for $6. Which of these equations are equivalent to the equation 5y=6?
a 5y + 4 = 10
b 5y - 1 = 3
c 15y = 18
d 5y = 12

Answers

Answer:

blah blah

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

what is 65% more of 140

Answers

65% more than 140 is  231

Please help it’s due in an hr

Which of these functions has a y-intercept that is
greater than that of the linear function
represented by the table of values below, and
why?
х
у
2
19
4
13
17
6
7
19
9
23
A. y = x + 9, because the y-intercept of the function
represented by the table of values is 2
B. y=x+9, because the y-intercept of the function
represented by the table of values is 5
C. y = 8x+1, because the y-intercept of the
function represented by the table of values is 2
D. y = 8x + 1, because the y-intercept of the
function represented by the table of values is 5

Answers

Answer: Choice B

y = x+9 because the y-intercept of the function represented by the table is 5.

============================================================

Explanation:

Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.

m = (y2-y1)/(x2-x1)

m = (13-9)/(4-2)

m = 4/2

m = 2

The slope is 2.

Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b

y = mx+b

y = 2x+b

9 = 2*2+b

9 = 4+b

9-4 = b

5 = b

b = 5

The equation for the table is y = 2x+5

We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.

Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.

Answer this correct and I will give you extra points.

Answers

Answer:

he didnt subtract each equations on both sides

5y-6=4y+1

-4       -4

y  -6=1

  +6=+6

y=7

Step-by-step explanation:

hope that wrk

answer this
1) Singapore is located in the +8 time zone. An aeroplane departs from Singapore at 3.00 p.m. (15:00) on Monday and travels across the IDL to Honolulu located in the
-10 time zone. If it takes 12 hours for the journey, find the local time and date when it arrives in Honolulu.



2)An aeroplane departs from Dawson located in the -8 time zone at 6:00 a.m. on
Monday, flies across the IDL and arrives in Tokyo (Japan) in the +9 time zone.
If the flight arrives in Tokyo at 4.00 p.m. on Tuesday, find the time taken for the
journey

Answers

Answer:

Local Time = 9:00

Date = Monday

Step-by-step explanation:

Singapore is located in the +8 time zone. An aeroplane

departs from Singapore at 3.00 p.m. (15:00) on Monday

and travels across the IDL to Honolulu located in the

-10 time zone. If it takes 12 hours for the journey, find

the local time and date when it arrives in Honolulu


Anybody know the answer !!

Answers

Answer:

17.08

Step-by-step explanation:

When it reaches its maximum, suppose that y = 0

Therefore you will need to factorise and solve

-16x^2 + 267 x + 107 = 0

Here you can use the quadratic equation[tex]\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]

Where you will get x = -0.39 seconds or 17.08 seconds (rounded to 2 decimal places according to the question

Because -0.39 is negative, this answer can be deleted

Leacing x = 17.08 seconds

The answer is 17.08!!!

If b = ⟨6,5⟩, and c = ⟨2,9⟩, find a = 5b − 6c.

Answers

Answer:

< 18, - 29 >

Step-by-step explanation:

a = 5b - 6c

   = 5 < 6, 5 > - 6 < 2, 9 > { multiply each element by the scalar ]            

   = < 30, 25 > - < 12, 54 > [ subtract corresponding elements ]

   = < 30 - 12, 25 - 54 >

    = < 18, - 29 >

Answer:

a=(18,-29)

Step-by-step explanation:

You plug (6,5) in for 5b and you plug (2,9) in for -6c so now you get a=5(6,5)-6(2,9) then you cross multiply the 5 and the -6 therefore you get a=(30,25)+(-12,-54) then you add them together getting the answer a=(18,-29).

23.15 – [ 115 + ( 12 - 25)]

Answers

Answer:

-78.85

Step-by-step explanation:

Using Order of Operations (PEDMAS):

23.15 – [ 115 + ( 12 - 25)]

= 23.15 – [ 115 + (-13)]

= 23.15 – [ 115 - 13]

= 23.15 -  102

= -78.85

What is the length of the mid segment AB??

Answers

Answer:

14.5

Step-by-step explanation:

AB is halfway between MN and PO. this means it would be the distance halfway between 9 units (length of MN) and 20 units (length of PO). to find this, find the average of 20 and 9. 20+9= 29. 29/2= 14.5

You need $145 in cash if you withdraw money from your savings account using the ATM how much will you need to withdraw in order to have at least one $145 based upon how ATM’s dispense money?

Answers

Answer:

290

Step-by-step explanation:

145 withdrawal free + 145 in cash = 290.

Electroboy has been charged up to +96 C which of course causes an electric field to emanate around him. An electroball charged to 2,8 C is thrown at him and gets close enough to experience an electric field of 20 N/C. What is the electric force on the electroball from electroboy's electric field at this moment?

Answers

Answer:

static electricty

Step-by-step explanation:

it is preserved charge

Answer:

its electroboom not boy

Step-by-step explanation:

lol its static

Can somebody help me :

Answers

Answer:

A

Step-by-step explanation:

Negative numbers are smaller than positive numbers.

Answer:

Your correct 6.55 is a positive number while -6.5 is negitive and positive numbers are always larger then negitive ones

Hope This Helps!!!

The probability of event A is 0.53 and the probability of event B is 0.17. The probability of A and B occurring is 0.901. Which statement accurately describes these two events?

Answers

Answer: Choice C

Explanation:

We're given that

P(A) = 0.53P(B) = 0.17P(A and B) = 0.901

Note that P(A)*P(B) = 0.53*0.17 = 0.0901 which is somewhat similar to 0.901 but not entirely the same. We have an extra zero between the decimal point and the nine. So this indicates that [tex]P(A)*P(B) \ne P(\text{A and B})[/tex]. Therefore, events A and B are not independent. We consider them dependent.

Write an inequality that has the points (-2, -6) and (4, -3) on the line and (6, -4) and (2, -4) as solutions.


(use <= or >= for ≤ or ≥

symbols and write your inequality in y=mx+b form with no spaces)


inequality=

Answers

Answer in fraction form is:    y ≤ (1/2)x - 5  or  [tex]y \le \frac{1}{2}x-5[/tex]

Answer in decimal form is:  y ≤ 0.5x - 5

You only need to pick one answer format.

========================================================

Explanation:

The drawing is below.

Let's label the four given points as A,B,C,D

A = (-2,-6)B = (4,-3)C = (6,-4)D = (2,-4)

For now, let's focus on the boundary points A(-2, -6) and B(4, -3). A straight line in the form y = mx+b passes through these points. Compute the slope.

m = (y2-y1)/(x2-x1)

m = (-3 - (-6))/(4 - (-2))

m = (-3 + 6)/(4 + 2)

m = 3/6

m = 1/2

m = 0.5

Now let's use one of those (x,y) points along with that m value to find the y intercept b. I'll use the coordinates from point A.

y = mx+b

-6 = 0.5*(-2)+b

-6 = -1 + b

-6+1 = b

-5 = b

b = -5

The equation of the boundary line is y = 0.5x-5 which is the same as saying y = (1/2)x - 5 or [tex]y = \frac{1}{2}x-5[/tex]. We can refer to this as line AB.

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

If you were to plot all four points (A,B,C,D) on the same xy grid, then you'd find that point D is on line AB. We're told that point D is a solution to the inequality, which must mean we are going to involve "or equal to" as part of the inequality sign. This will allow points on the boundary to be part of the solution set.

Notice how point C is below line AB. Since point C is also a solution, this means we go for "less than" to shade below the boundary. Overall, the sign we go for is "less than or equal to" or in short ≤

Therefore, the inequality is y ≤ 0.5x - 5

which is the same as writing y ≤ (1/2)x - 5  or [tex]y \le \frac{1}{2}x-5[/tex]

Solve the equations.
[tex]3(x+4)^{2} =10x+32\\(x+4)^{2} =3x+40\\\frac{x^{2} -1}{2} -11x=11[/tex]

Answers

Answer:

  a) x = {-2 2/3, -2}

  b) x = {-8, 3}

  c) x = {-1, 23}

Step-by-step explanation:

If all you want are solutions, a graphing calculator can give them to you easily. The attachment shows the solutions as x-intercepts when the equation is rearranged to the form f(x) = 0.

__

In general, it can be convenient to write the equation in standard form with integer coefficients. Common factors among the coefficients should be removed.

a)

  3(x+4)^2 = 10x +32 . . . . . given

  3(x^2 +8x +16) -10x -32 = 0

  3x^2 +14x +16 = 0

To factor this, we're looking for factors of 3·16 that total 14.

  48 = 1·48 = 2·24 = 3·16 = 4·12 = 6·8

The last pair of factors has a total of 14, so we can rewrite the equation as ...

  (3x +6)(3x +8)/3 = 0

  (x +2)(3x +8) = 0

The solutions are the values of x that make the factors zero:

  x = -2, x = -8/3

__

b)

  (x +4)^2 = 3x +40 . . . . . . . . given

  x^2 +8x +16 -3x -40 = 0 . . . . subtract the right side

  x^2 +5x -24 = 0 . . . . . . . . simplify

  (x +8)(x -3) = 0 . . . . . . factor

The solutions are the values of x that make the factors zero:

  x = -8, x = 3

__

c)

  (x^2 -1)/2 -11x = 11 . . . . . given

  x^2 -1 -22x -22 = 0 . . . . . . multiply by 2, subtract the right side

  x^2 -22x -23 = 0 . . . . . . simplify

  (x -23)(x +1) = 0 . . . . . . factor

  x = 23, x = -1

_____

Additional comment

Factoring often gets to the solution with the least fuss when the solutions are rational. There are several ways factoring can be done when the leading coefficient is not 1. One of them is illustrated in (a) above. We will show two other methods that give the same result.

factoring by pairs

We have identified the factors of 3·16 = 48 that have a total of 14. We can use those factors to rewrite the 14x term in the equation.

  3x^2 +6x +8x +16 = 0

Now, we can group the terms in pairs, and factor each pair. It does not matter which of the factors (6 or 8) you write first. You will end with the same result.

  (3x^2 +6x) +(8x +16) = 0

  3x(x +2) +8(x +2) = 0

  (3x +8)(x +2) = 0   ⇒   x = -8/3, x = -2

__

factoring using the X method

This method is usually shown using a large graphic X. In the top quadrant is written the product of the leading coefficient and the constant: 3·16 = 48.

In the bottom quadrant is written the coefficient of the x-term: 14.

If one or the other, or both, of these top/bottom values is negative, be sure to keep the sign.

The side quadrants are then filled with values that have a product equal to the top number, and a sum equal to the bottom number. (Pay attention to the signs.) Further, in each of those quadrants, the number written is divided by the leading coefficient, and the fraction reduced to lowest terms.

Here, we would have 6/3 = 2 on one side, and 8/3 on the other side. Now the factors are written as (bx+a), where the reduced fraction on either side is a/b. In our example, the factors are (x+2) and (3x+8)

__

alternate X method

This starts off in the same way the X method does, as described above. However, the factors on either side of the X are not divided by the leading coefficient (a). If those side values are 'p' and 'q', the quadratic is written in factored form as ...

  (ax +p)(ax +q)/a = 0

You will notice we used this form above: (3x +6)(3x +8)/3 = 0.

Now, the divisor 'a' can be used to reduce either or both of the numerator factors. Here, the entire factor of 3 can be removed from (3x+6) to make the factorization be ...

  (x +2)(3x +8) = 0

__

Sometimes, one factor of the divisor will be removed from one term, and the other factor of it will be removed from the other term. An example of this might be ...

  [tex]\dfrac{(6x+3)(6x+2)}{6}=\dfrac{6x+3}{3}\cdot\dfrac{6x+2}{2}=(2x+1)(3x+1)[/tex]


A music store purchases a grand
piano, wholesale, for $5,000.
They markup the retail price 65%.
What is the retail price?

Answers

Answer: 8250

Step-by-step explanation:

Answer:

8548

Step-by-step explanation:

Plzzz help me it’s due tonight!!!!!

Answers

Answer:

UV=5, VW=5[tex]\sqrt{3}[/tex], and m∠U=60

Step-by-step explanation:

sin 30=UV/10=>0.5=UV/10=>UV=5

VW=√(10²-5²)=√75=5√3

m∠U=180-90-30=60

what is the answer to 4 3/4 minus 1/3?? Plzz Respond by Tmrw ill give 45 points and brainliest

Answers

Answer:

53/12

Step-by-step explanation:

Conversion a mixed number 4 3/

4

to a improper fraction: 4 3/4 = 4 3/

4

= 4 · 4 + 3/4

= 16 + 3/

= 19/

4

To find a new numerator:

a) Multiply the whole number 4 by the denominator 4. Whole number 4 equally 4 * 4/

4

= 16/4

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19

c) Write a previous answer (new numerator 19) over the denominator 4.

Four and three quarters is nineteen quarters

Subtract: 19/

4

- 1/

3

= 19 · 3/

4 · 3

- 1 · 4/

3 · 4

= 57/12

- 4/12

= 57 - 4/12

= 53/12

evaluate 3d/2a, when d=4 and a = -1​

Answers

Answer:

ok

Step-by-step explanation:

A computer processes information in nanoseconds. A nanosecond is one-billionth of a second. Write this number as a decimal.

Answers

Answer:

0.000000001

Step-by-step explanation:

Let's convert this :

0.000000001

  tHT      M    B

t=tenths

H=Hundredths

T=Thousandths

M=millionths

B=Billionths

Solve for x.
(−19)2=x

Answers

Answer:

Step-by-step explanation:

Answer:

x=-38

Step-by-step explanation:

-19*2=-38

Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.

3x - 7 = 3x + 9; x =

Please can someone help me and show me the answers step by steps

Answers

Answer:

i think probably x∉∅

Step-by-step explanation:

3x-7 = 3x+9

-7 = 9

so x∉∅

Answer:

0 = 16 or No Solution

Step-by-step explanation:

1) Add  7   to both sides of the equation

3x - 7 + 7 = 3x + 9 + 7

2) Simplify

A. Add the numbers

3x = 3x + 9 + 7

B. Add the numbers

3x = 3x + 16

3) Subtract 3x  from both sides of the equation

3x - 3x = 3x + 16 - 3x

4) Simplify

A. Combine like terms

0 = 3x + 16 - 3x

B. Combine like terms

0 = 16

Marcus has twice as many pens as Bryan. Together they have 36 pens. How many pens does each boy have?

Answers

Answer:

Marcus has 24 pens while Bryan has 12 pens.

Step-by-step explanation:

Let u rep 1 unit.

Marcus = 2u

Bryan = u

2u+u=36

   3u=36

     u=36÷3

       =12

No. of pens Marcus has

= 2u

= 2×12

= 24

No. of pens Bryan has

= u

= 12

the triangles are similar. what is the value of x? enter your answer in the box.

Answers

Answer:

l*b*h is the answer of this question

please help me with this question.

Answers

Answer:

Exact Form: 309/25

Mixed Form: 12 and 9/25

Step-by-step explanation:

Simplify the expression: 4s+10–2+4s

Answers

Answer:

8s+8

Step-by-step explanation:

Put it into groups: (4s+4s)+(10-2)=8s+8

Brainliest is appreciated

Answer:

(4s+4s)+(10-2)= 8s/8 =1   so s=1

Step-by-step explanation:

I need help with this problem
Solve the following system of equations using elimination by multiplication.

Answers

If the given equations are indeed

[tex]\begin{cases}x-\frac4{5y} = 9\frac45 \\ -14x - 4y = -46\end{cases}[/tex]

we can solve by substitution. Solve the second equation for x :

[tex]-14x - 4y = -46[/tex]

[tex]\implies 7x + 2y = 23[/tex]

[tex]\implies7x = 23 - 2y[/tex]

[tex]\implies x = (23 - 2y)/7[/tex]

Substitute this into the first equation and solve for y :

[tex]\dfrac{23-2y}7 - \dfrac4{5y} = 9\dfrac45[/tex]

On the right side, write the mixed number as an improper fraction:

[tex]9 + \dfrac45 = \dfrac{45}5 + \dfrac45 = \dfrac{45+4}5 = \dfrac{49}5[/tex]

[tex]\implies \dfrac{23-2y}7 - \dfrac4{5y} = \dfrac{49}5[/tex]

Multiply both sides of this equation by 35y (the LCM of the denominator of all three fractions)

[tex]35y \times \dfrac{23-2y}7 - 35y \times \dfrac4{5y} = 35y \times \dfrac{49}5[/tex]

[tex]5y\times(23-2y) - 7\times4 = 7y \times 49[/tex]

[tex]115y - 10y^2 - 28 = 343y[/tex]

[tex]10y^2 + 228y + 28 = 0[/tex]

[tex]5y^2 + 114y + 14 = 0[/tex]

To solve the quadratic, I'll complete the square :

[tex]5\left(y^2 + \dfrac{114}5y\right) + 14 = 0[/tex]

[tex]5\left(\left(y + \dfrac{57}5\right)^2 - \left(\dfrac{57}5\right)^2 \right) + 14 = 0[/tex]

[tex]5\left(y + \dfrac{57}5\right)^2 - \dfrac{57^2}5 + 14 = 0[/tex]

[tex]5\left(y + \dfrac{57}5\right)^2 = -\dfrac{3179}5[/tex]

This system has no real solutions since the square of any real number must be positive.

If we allow complex numbers, we can continue solving to end up with two complex solutions for y,

[tex]\left(y + \dfrac{57}5\right)^2 = -\dfrac{3179}{25}[/tex]

[tex]y + \dfrac{57}5 = \pm i \sqrt{\dfrac{3179}{25}}[/tex]

[tex]y = -\dfrac{57}5 \pm i\dfrac{17\sqrt{11}}5[/tex]

and we can go on to solve for x.

Hence my comment; I suspect you meant to write the system

[tex]\begin{cases}x-\frac45 y = 9\frac45 \\ -14x - 4y = -46\end{cases}[/tex]

because its solution is far simpler. Multiplying through the first equation by 5 gives

[tex]5\times x - 5 \times \dfrac45 y = 5 \times 9\dfrac45[/tex]

[tex]\implies 5x - 4y = 49[/tex]

(since we know 9 + 4/5 = 49/5)

Meanwhile, multiplying through the second equation by -1 gives

[tex]-1 \times (-14x) + (-1) \times (-4y) = -1 \times (-46)[/tex]

[tex]\implies 14x + 4y = 46[/tex]

So if we combine the two equations, we can eliminate y and solve for x :

[tex](5x - 4y) + (14x + 4y) = 49 + 46[/tex]

[tex]\implies 19x = 95[/tex]

[tex]\implies \boxed{x = 5}[/tex]

and solving for y gives

[tex]14x + 4y = 46[/tex]

[tex]\implies 70 + 4y = 46[/tex]

[tex]\implies 4y = -24[/tex]

[tex]\implies \boxed{y = -6}[/tex]

If 4 bushels of oats weigh 112 kg, how much do 8. 5 bushels of oats weigh?.

Answers

Answer:

238 kg

Step-by-step explanation:

If 4 bushels weight 112, then divide 112 by 4 and you get that each bushel weighs 28 kg. Now multiply that by 8.5.

What is the number in standard form (8 x 10) + (2 x 1 /100) + ( 9 x 1/1,000

Answers

Answer:

8.0029 x[tex]10^{1}[/tex]

Step-by-step explanation:

8 x 10=80

2 x [tex]\frac{1}{100}[/tex]=0.02

9x[tex]\frac{1}{1,000}[/tex]= 0.009

add all ur answers together and u get 80.029

then in standard form that nwould be 8.0029 x[tex]10^{1}[/tex]

Hoped that helped:P

10 x + 2 y . Find P when: x = 3 and y = 6



help pleaseee

Answers

Answer:

42

Step-by-step explanation:

(10x3) + (2x6)

= 30 + 12

= 42

10x + 2 y = (10.3) +(2.6) = 30+12=42

Our answer is 42

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On Saturday Kendra ran 2.721 kilometers. On Sunday she ran 1.79 kilometers. How much farther did sherun on Saturday than on Sunday? which was necessary in completing and adopting the u.s. constitution? The shape on the left is transformed on the right.Which of the statements describes the transformation. Elijah left his house at time zero and drove for 6 minutes to the store, at a speed of 1 blocks per minute. Then he stopped and went into the store for 6 minutes. From there, he drove in the same direction at a speed of 1 blocks per minute until he got to the bank, which is 3 blocks away from the store. He stopped at the bank for 7 minutes. Then he drove home at a speed of 3 blocks every minute. Make a graph of showing the number of blocks away from home that Elijah is xx minutes after he leaves his house, until he gets back home. When you purchase a car in the future, what are at least 3 thingsyou will have to think about first? Can someone please answer it, please no bots answer it and a real person I will give you brainliest. What does class mean in the outsides [(-4 2/7) x (-18)] x (-3 8/9) x (-1) Divya glued a ribbon around a clipboard. The clipboard is 9 inches wide and 11 inches tall. What is the length of ribbon used and the area of the clipboard? I will mark Brainliest if you help!! Remainder of 52,259 divided by 215 Did Lord Dunmore grant freedom from enslavement for all enslaved persons during the Revolutionary War? what are the bads and goods about meat In Common Sense by Thomas Paine doctrine means1) Gospel2) Authority 3) Organization 4) Principle X-9-5-13Y- 2024What is the slope of the line? how often is the president required to present a state of the union address to congress? Determine the value of the unknown 0 - e = 5 Thank you will give thanks + more + brainliest!!!!Given the system of linear equations:{x+6y=6 y= 1/3 x2 Part A: Graph the system of linear equations.Part B: Use the graph created in Part A to determine the solution to the system.Part C: Algebraically verify the solution from a Part B A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 2 1/2 feet of fencing to the width of the pen, but the length will remain 9 1/4 feet. The new area will be 108 3/4 square feet.Which equation can be used to determine the original width, w, of the pen?9 1/4(w+2 1/2)=108 3/49 1/4w+2 1/2=108 3/42 1/2(w+9 1/4)=108 3/42 1/2w+9 1/4=108 3/4 Solve this addition question by substituting numbers for the given letters to find the value of START. Each letter represents a unique digit.JOAN+CAN=START Find the similarities or interesting facts about system of modern phones and human brain.