What are the solutions of the equation 6x^2-x-1=0

Answers

Answer 1

Answer:

x=1/2 or x=-1/3

Step-by-step explanation:

6x^2-x-1=0

6x^2+2x-3x-1=0

(6x^2+2x)+(-3x-1)=0

2x(3x+1)-1(3x+1)=0

2x(3x+1)-1(3x+1)=0

(2x-1)(3x+1)=0

(2x-1)(3x+1)=0

2x-1=0

or

3x+1=0

x=-1/3

x=1/2

Answer 2

Answer:

Its 1/3 and -1/2

Step-by-step explanation:


Related Questions

Simplify.
√63 somebody please help

Answers

Answer:

7.93

Step-by-step explanation:

Given right triangle abc with altitude bd drawn to hypotenuse
ac. if ad = 8 and dc = 32, what is the length of bd?

Answers

The length of bd =32,98

Use Pythagorus

Jamila's cake recipe calls for 4 cups of flour.
She cuts the recipe in half. How much flour does es
she use?

Answers

This is kinda easy if Jamila cuts the recipe in half she will use 2 cups of flour.
Hope it helped

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

0.09

.............................

7 Question Find the value of x.

Answers

Answer:

x = 15

Step-by-step explanation:

45/3 = 15

A function is shown: f(x) = 16x2 − 1.

Choose the equivalent function that best shows the x-intercepts on the graph.

f(x) = (4x + 1)(4x − 1)
f(x) = (8x + 1)(8x − 1)
f(x) = 4(x2 + 1)
f(x) = 8(x2 − 1)

Answers

The equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x  + 1)(4x -1)

How to determine the equivalent function?

The function is given as:

f(x) = 16x^2 - 1

Express 16 as 4^2 and 1 as 1^2

f(x) = (4x)^2 - 1^2

Apply the difference of two squares

f(x) = (4x  + 1)(4x -1)

Hence, the equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x  + 1)(4x -1)

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What percent of 4c in each expression?
0.2c

Answers

The percentage of 4c in the expression 0.2c is 2000%

How to determine the percentage of 4c?

The expression is given as:

0.2c

The percentage of 4c is then calculated as:

4c/0.2c

Evaluate the quotient

20

Express as percentage

2000%

Hence, the percentage of 4c in 0.2c is 2000%

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A class has between 30 to 40 students. each boy in the class brings 15 chocolate bars for a class party to celebrate teachers day. the chocolate bar are shared equally among the 20 girls of the class and their form teacher with no leftovers. 1)how many students are there in the class? 2)how many chocolate bars does their form teacher receive?

Answers

There are a total of 34 students, and their teacher receives 10 chocolate bars.

Which function rule is represented by the table?
y=4x-1
y=3x+2
y=2x+3
y=x+2

Answers

Answer:

[tex]y=2x+3[/tex]

Step-by-step explanation:

Sure hope this helps you

A bake sale successfully sells all of its food items over two hours. Which of the following graphs could represent this situation? A. B. C. D.

Answers

Answer:

it's c

Step-by-step explanation:

Answer: it is c

Step-by-step explanation:

i took the test it was right<3

brainiest please and thx :)

Plsss helppp its worth 20 points

Answers

Answer:

a. sides BC & EF

b. <A & <D

2a. A / B, not that sure

The marked price of a fan is Rs. 1800. If a shopkeeper allows a discount of 10% and still makes a profit of 20%, at what price had the shopkeeper bought the fan?​

Answers

The shopkeeper had brought the fan at Rs.1350

You have ​$320 to buy 24 tickets for a football game. You need to buy some of each kind of seat. You want to spend most of the money. How many of each type of ticket can you​ buy? Find two different solutions to the problem. Use an equation to show each solution.

Answers

Answer:

250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

easy :)

5x
4x
What is the value of x? (3 ponts)
_/3

Answers

Step-by-step explanation:

I assume the 2 vertical lines are parallel.

then the 2 angles 5x and 4x are around the intersection point of both lines (since parallel lines simply mimic the behavior of each other, the angles must be the same).

that means 4x is also the angle under the indicated 5x angle, and 5x is also the angle under the indicated 4x angle.

and that simply means that 5x and 4x supplement each other to 180° (as all angles around a single point on one side of a line represent a half-circle and therefore 180°).

so,

5x + 4x = 180

9x = 180

x = 20


A monument has a base and a statue The base is a rectangular prism that measures 4 feet by 6 feet by 2 feet The statue is a cube with edges that are 2 feet long What is the volume of the monument

Answers

Answer:

The formula for volume is V=l*w*h

(6×4×2)×2=96 cubic feet

Answer:

The winter evening settles down

With smell of steaks in passageways.

Six o'clock.

The burnt-out ends of smoky days.

And now a gusty shower wraps

The grimy scraps

Of withered leaves about your feet

And newspapers from vacant lots;

The showers beat

On broken blinds and chimney-pots,

And at the corner of the street

A lonely cab-horse steams and stamps.

And then the lighting of the lamps.

Alfred Tennyson - Summer Night

Alfred Tennyson was another poet who made great use of visual imagery. See if you can get a clear picture of the summer night he describes in this poem "Summer Night:"

Now sleeps the crimson petal, now the white;

Nor waves the cypress in the palace walk;

Nor winks the gold fin in the porphyry font:

The firefly wakens: waken thou with me.

Now droops the milk-white peacock like a ghost,

And like a ghost she glimmers on to me.

Now lies the Earth all Danaë to the stars,

And all thy heart lies open unto me.

Now slides the silent meteor on, and leaves

A shining furrow, as thy thoughts in me.

Now folds the lily all her sweetness up,

And slips into the bosom of the lake.

So fold thyself, my dearest, thou, and slip

Into my bosom and be lost in me.

William Wordsworth - I Wandered Lonely as a Cloud

Next is an excerpt from "I Wandered Lonely as a Cloud" by William Wordsworth. The first and last stanzas show a progression of the poet's emotions using visual imagery.

I wandered lonely as a cloud

That floats on high o'er vales and hills,

When all at once I saw a crowd,

A host, of golden daffodils;

Beside the lake, beneath the trees,

Fluttering and dancing in the breeze.

For oft, when on my couch I lie

In vacant or in pensive mood,

They flash upon that inward eye

Which is the bliss of solitude;

And then my heart with pleasure fills,

And dances with the daffodils.

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Theodore Rothke - My Papa’s Waltz

This famous poem by Theodore Rothke is an excellent example of olfactory and tactile imagery with plenty of visual imagery thrown in for good measure. The effect is powerful.

The whiskey on your breath

Could make a small boy dizzy;

But I hung on like death:

Such waltzing was not easy.

We romped until the pans

Slid from the kitchen shelf;

My mother’s countenance

Could not unfrown itself.

The hand that held my wrist

Was battered on one knuckle;

At every step you missed

My right ear scraped a buckle.

You beat time on my head

With a palm caked hard by dirt,

Then waltzed me off to bed

Still clinging to your shirt.

William Carlos Williams - This Is Just to Say

"This Is Just to Say" is an amazing example of gustatory imagery or imagery involving taste. There’s more going on beneath the surface of this poem, but the vivid description of taste draws the reader in.

I have eaten

the plums

that were in

the icebox

and which

you were probably

saving

for breakfast

Forgive me

they were delicious

so sweet

and so cold

Step-by-step explanation:

George is solving the equation below by finding successive approximations. He started from a graph where he found the solution to be between 5 and 6. Using the lower and upper bounds from the graph, George did the following work for the first iteration. Step 1 Rewrite the equation so that it equals zero. Step 2 Evaluate the rewritten equation at the lower and upper bounds. Since the solution to the original equation is represented by a zero, one of the bounds should yield a negative difference and the other should yield a positive difference. Step 3 Take the average of the lower and upper bounds from the graph. Step 4 Evaluate the rewritten equation at . Step 5 Since this value of x yields a negative difference, use it to replace the previous upper bound that yielded a negative difference, . So, the bounds are now and . In what step, if any, did George make his first mistake? A. In step 1, George should have subtracted in the opposite order to set the equation equal to 0. B. In step 5, George should have used as the new lower bound. C. George made no mistakes, and his work is correct. D. In step 3, George should have averaged the two differences instead of the two bounds.

Answers

The mistake made by George is; D:George should have averaged the two differences instead of the two bounds.

How to Solve Successive Approximations?

In Mathematics, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.

In this question, George started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that George made a mistake instep 5 because he should have used x = 3/2 as the new upper bound.

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Find the range of the data.

41, 64, 97, 12, 8, 8

Answers

Answer:

89

Step-by-step explanation:

How do you find the range of a data set?first put you're data set from lowest to highest, then subtract your highest by your lowest valueData:

8, 8, 12, 41, 64, 97

We can clearly see that our highest value is 97, and our lowest in 8.

97 - 8 = 89Hence our range of data is 89.

у
6
-8
Identify the vertex, focus, and directrix of the graph. Which of the following equations represents the parabola in the graph?
O
y-- (x+38 – 4
O
yo (x=38 - 4
O
*--(+33 - 4
X-

Answers

The equation of the parabola will be y = 1/8(x-  3)² - 4. Then the correct option is B.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Identify the vertex, focus, and directrix of the graph.

Then the equations representing the parabola in the graph will be

y = a(x - h)² + k

Then the vertex is at (3, -4). Then we have

y = a(x - 3)² - 4

For x = 0, the value of y will be -2.875.

-2.875 = a(0 - 3)² - 4

        a = 1/8

Then the equation of the parabola will be

y = 1/8(x-  3)² - 4

Thus, the correct option is B.

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can someone help me here

NONSENSE=REPORT​

Answers

Answer:

See below ~

Step-by-step explanation:

Circle ABA, CA, FA, GA∡CEG, ∡FCBCBGF∡CB, ∡BG, ∡GF, ∡CG∠CAB, ∠BAG, ∠GAFCF∠BAG, ∠GAFEC, CB

a series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number?
42.5
190.0
465.0
740.0

Answers

Answer:

ai = 190.0

Step-by-step explanation:

I'll presume the sequence is arithmetic, simply because assuming the series is mathematical, there is more than one solution.

Assuming the series is comprised of numbers in an arithmetic progression, you will have...  (see attachment for better explanation and step by step.)

Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes. How long would it take Goblin Girt to count the coins in the bag alone.

Answers

The Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Goblin Girt take x minutes to count the coins in the bag alone.

Then we can frame an equation to find the value of x:

[tex]\rm \dfrac{1}{x}+\dfrac{1}{10}=\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=- \dfrac{1}{10}+\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=\dfrac{1}{15}[/tex]

x = 15 minutes (reciprocal on both sides)

Thus, the Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

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Write the equality in the given diagram below

Answers

Answer:

The inequality for this diagram is x≥-1

Please the explanation... it always helpsssss....

Step-by-step explanation:

The first step is to look at the circle... is it filled in or not... in this case it is...

meaning the symbol is greater than or equal to  OR less than or equal to

next the arrow is pointing to the right meaning the symbol must be greater than or equal to

then look at the value at the filled in circle (which in this case is -1)

meaning the inequality must be x≥-1

i really hope this helps!!!!

You cut the 2 inch by 4 inch piece of wood along the indicated diagonal. Find the perimeter and area of the cross section formed by the cut

Answers

The perimeter of the cross section formed is 44.22 in.

The area of the cross section formed is 72.44 in.²

Calculating the area and perimeter of a rectangle

From the question, we are to determine the perimeter and area of the cross section formed by the cut

As indicated in the diagram,

If the wood is cut along the indicated diagonal, the cross section formed is a rectangle whose length will be the length of the diagonal and its width will be 4 in.

Now, we will calculate the length of the diagonal,

Let the diagonal be d

Then, we can write that

d² = 2² + 18²

d² = 4 + 324

d² = 328

d = 18.11 in.

Thus,

The length of the rectangular cross-section is 18.11 in.

Now, using the formula for calculating the perimeter of a rectangle

P = 2(l +w)

Where P is the perimeter

l is the length

and w is the width

For the rectangular cross-section

l = 18.11 in.

w = 4 in.

Putting the parameters into the formula,

P = 2(18.11 + 4)

P = 2(22.11)

P = 44.22 in.

∴ The perimeter of the cross section formed is 44.22 in.

For the area of the cross section

Using the formula for calculating the area of a rectangle,

A = l × w

∴ Area of the cross section formed = 18.11 × 4

Area of the cross section formed = 72.44 in.²

Hence, the area of the cross section formed is 72.44 in.²

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You have a job that pays $15.00 for each day you show up, plus
$8.50 per hour. Which expression shows the amount you make
in one day if you work for h hours?

Answers

15 + (h • 8.50) is the equation

Rectangle ABCD is going to be reflected over the x-axis. Which of the following will not be one of the new coordinates? Group of answer choices (6, -6) (-6, 2) (-3, 2) (-3, 6)

Answers

Using translation concepts, it is found that the following rule is applied to each point:

(x,y) -> (x,-y).

The point that is does not result from this transformation will not be one of the new coordinates.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

When a function is reflected over the x-axis, it's output is multiplied by -1, hence the rule is given by:

(x,y) -> (x,-y).

Thus, this rule is applied to all points, which are A, B, C and D, and the point that is does not result from this transformation will not be one of the new coordinates.

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what is the range of the function graphed above?

Answers

Answer:

The range of the function is [0 , ∞) ⇒ answer B. Step-by-step explanation: * lets revise the meaning of the domain and the range - The domain is the values of x - The domain is all the values of x which make the function is defined - If there are some values of x make the function undefined, we exclude these values from the domain

Step-by-step explanation:

please mark me brainliest

HELPPPP THIS IS 7TH GRADE MATH AND IM CONFUSEDDDD

Answers

Answer:

n-p for the first, p-n for the second

Step-by-step explanation:

what is the equation of the line that contains the point (6-1) and is perpendicular to line whose equation is y=2x+1

A(9,5)
B(-3,1)
C(6,3)
D(-9,7)

Answers

Answer:

y = -x/2 + 2

what are those mutli choice answers?

if that point is (6,1)

y = -x/2 + 4

Step-by-step explanation:

the perpendicular line has a gradient which is the negative inverse, that is -1/m

so the equation will be of the form y = -x/2 + c

substituting in the point (6, -1)

-1 = -6/2 + c

c = 2

so y = -x/2 + 2

helpppppp meeee728727/7/

Answers

i could say you are correct.

 kaii~ <3

PLEASE HELP MEEEEE ON THISSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ITS DUE VERY SOON SO PLEASE HJELPPPPIHFIUHGIU

IT IS QUESTIONS 3-8 AND I DON'T UNDERSTAND :((((((((((( (Not 7)))!!!!!!!!!!!

Answers

The computation of the word problem shows that the oranges that John will have in 12 weeks will be 70 oranges.

How to solve the word problem?

The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks?

The computation will be:

= 10 + 5x

where x= number of weeks.

= 10 + 5x

= 10 + 5(12)

= 10 + 60

= 70 oranges

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