what is the value of x for 3x^2 - x + 9 = 0

Answers

Answer 1

Correct option is A)

Consider the given equation,

3

2x

+10.3

x

−9=0

Let ,y=3

x

Now ,

y

2

−10y+9=0

y

2

−9y−y+9=0

y(y−9)−1(y−9)=0

(y−9)(y−1)=0

When,

x−9=0

x=9

Now ,

9=3

x

3

2

=3

x

x=2

When,

y−1=0

y=1

3

x

=1

3

x

=3

0

x=0

x=0,x=2

This is the answer

Answer 2
1 Use the Quadratic Formula.
1 In general, given
a
x
2
+
b
x
+
c
=
0
ax
2
+bx+c=0, there exists two solutions where:
x
=

b
+
b
2

4
a
c
2
a
,

b

b
2

4
a
c
2
a
x=
2a
−b+
b
2
−4ac



,
2a
−b−
b
2
−4ac





2 In this case,
a
=
3
a=3,
b
=

1
b=−1 and
c
=
9
c=9.
x
=
1
+
(

1
)
2

4
×
3
×
9
2
×
3
,
1

(

1
)
2

4
×
3
×
9
2
×
3
x
=
2×3
1+
(−1)
2
−4×3×9



,
2×3
1−
(−1)
2
−4×3×9





3 Simplify.
x
=
1
+
107
ı
6
,
1

107
ı
6
x=
6
1+
107



,
6
1−
107





To get access to all 'How?' and 'Why?' steps, join Cymath Plus!
x
=
1
+
107
ı
6
,
1

107
ı
6
x=
6
1+
107



,
6
1−
107




Related Questions

16 out of 80 baseball players are left handed.
What percent of the players are left handed?

Answers

Answer:

20% of players are left-handed

Step-by-step explanation:

First, find how much each player is worth percent-wise

100 / 80 = 1.25

Then find out how much percent of players that makes up

1.25 x 16 = 20

The answer is 20% of players are left-handed, to check it you could do

80 * 0.2 = 16

(80 = total players, 0.2 = 20%, 16 = total left handed players)

If RS= 5 , RT = 12 , ST = 7 , and points R, S, and T are collinear, what is the relationship between points R , S , and T ?

Answers

The relationship between points R , S , and T is that the sum of the RS and RT will be equal to  RT that is RT=RS+ST

What are collinear points?

Collinear points are defined as the points which lie on the same line. Here we have three points R, S and T that are collinear.

We have the length equal to:

RS=5, RT=12 ST=7

So we can set the relationship as the sum of the RS and RT will be equal to  RT.

So the relation will be given as:-

RT=RS+ST

hence the relationship between points R , S , and T is that the sum of the RS and RT will be equal to  RT that is RT=RS+ST

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Answer:

R, S, and T

Step-by-step explanation:

collinear, is the relationship between all the points

HellpppNeed help please urgent

Answers

Answer:

the answer is 63.59m²

Step-by-step explanation:

[tex]radius = \frac{diameter}{2} \\ = \frac{3}{2} \\ = \frac{9}{2} (since \:1cm = 3m \: so \: 3cm = 9m) \\ = 4.5 \\ area \: of \: circle = \pi {r}^{2} \\ = 3.14 \times (4.5) {}^{2} \\ = 3.14 \times 20.25 \\ = 63.585 {m}^{2} [/tex]

Hhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

Not linear because there is no degree in terms of yLinearNot linear because there is no specified degree.Nonlinear.

Answer: A

Step-by-step explanation: its the only one that dosent have 1/2 and i double checked it goes straight through the graph

It costs $3.00 to rent a boat on the lake for hour. Select ALL the statements that correctly match this ratio.
4
3
- of a hour costs $9.00
4
2 hours costs $18.00
1 hour costs $12.00
1
2
hour costs $6.00

Answers

2 hours costs 6 dollars is the only statements that is true

--

simply add 3.00 to 3.00 because its 2 hours

or if it was half an hour simply add 1.50 because half of 3.00 is 1.50

What is the measure of angle x?

Answers

Answer:

90 degrees cuz the lil square thang

Answer:

x = 48°

Step-by-step explanation:

The sum of angles on a line is 180°.

The angles 42°, 90°, and x° lie on the same line.

42 + 90 + x = 180x + 132 = 180x = 48°

When the common ratio of an
infinite geometric sequence is
less than 1, its sum can be
found by the formula
a
where s is the sum, a is the first
term, and r is the common
ratio, What is the sum of the
geometric sequence below?
16,8,4,2.

Answers

The sum of the infinite geometric sequence 16, 8, 4, 2 is 32

How to find the sum of a geometric sequence?

The sum can be represented as follows:

s∞ = a / 1  - r

where

r = common ratio

a = first term

Therefore,

r = 8 / 16 = 1 / 2

a = 16

hence,

s = 16 / 1 - 1 / 2

s = 16 / 1 / 2

s = 16 × 2 / 1

s = 32

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Use the net to find the surface area of the square pyramid

Answers

Answer:

333 ft^2

Step-by-step explanation:

Surface area is the sum of all the areas of the shape.

First, the area of the square in the center is simply 9x9 = 81.

The area of a triangle is (bh)/2, where b = base, and h = height

In the triangle, 9 is the base, and 14 is the height:

(9x14)/2 = 63

There are four triangles of the same area:

63 x 4 = 252

252 + 81 = 333

Answer:

333ft^2

Step-by-step explanation:


Given a triangle ABC at points A=(-4,-3) B=(4, 5) C=(2,-4), and if the triangle is
dilated with a scale factor of 3, centered at the origin, find the new point C'.

Answers

Answer: (6,-12)

Step-by-step explanation:

For dilations centered at the origin, we can multiply each of the coordinates by the scale factor. This means that [tex]C'=(2 \times 3, -4 \times 3)=\boxed{(6, -12)}[/tex]

The mean of four numbers is 59, The numbers are 52, 58, 57, and x. Find the value of x.

Answers

Answer:

X=69

Step-by-step explanation:

52, 58, 57, X =59

52+58+57+X/4=59

167+X/4=59

Multiply both sides by 4

4(167+X) /4 = 59x4

Simplify

167 + X= 236

Subtract 167 from both sides

167 + X- 167 = 236 – 167

Simplify

X= 69

to check

52+ 58+57+69/4 =59

Please help me my friends

What is the perimeter of this rectangle?

Answers

The length and width of the rectangle will be √68 and √17. Then the perimeter of the rectangle will be 2 (√17 + √68).

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The graph is shown below.

Then the perimeter of the rectangle will be

P = 2 (length + width)

The length of the rectangle will be

L² = 2² + 8²

L² = 4 + 64

L² = 68

L = √68

The width of the rectangle will be

W² = 1² + 4²

W² = 1 + 16

W² = 17

W = √17

Then the perimeter will be

P = 2 (√17 + √68)

More about the rectangle link is given below.

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Hola has 18 balls and he wants to give some of his balls to 9 girls on the bed. If he gave away some balls how many balls are there left?

Answers

Answer:

the answer should be 2

Step-by-step explanation:

you have to divide the 18 balls by the 9 girls.

The First National Bank of Wilson has 700 checking account customers. A recent sample of 50 of these customers showed 29 have a Visa card with the bank.

a. What is the margin of error for a 95% confidence interval for the population proportion? (Round your answer to 3 decimal places.)

b. What is the 95% confidence interval for the population proportion?

Answers

The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).

What is the margin of error(MOE)?

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

n = 50, X = 29,

Estimate point p = 29/50 = 0.58

q = 1-p = 1-0.58 = 0.42

Z at 0.05/2 (95% confidence interval) = 1.96

[tex]\rm MOE = 1.96\sqrt{\dfrac{0.58\times0.42}{50}}[/tex]

After calculating:

MOE = 0.137

Confidence interval will be: (p - MOE, p+MOE)

= (0.58-0.137, 0.58+0.137)

= (0.443, 0.717)

Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).

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Which statement correctly compares the shapes of the distributions?

Answers

The statement that compares the distribution shapes is (b) East Hills HS is positively skewed, and Southview HS is symmetric.

How to interpret the distribution shapes?

From the question, we have the following highlights:

East Hills HS has more points at the right. This represents a positive skewSouthview HS has more points at the center. This represents a symmetric skewness

Hence, the statement that compares the distribution shapes is (b) East Hills HS is positively skewed, and Southview HS is symmetric.

Read more about skewness at:

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Answer:

Step-by-step explanation:

East hills is negative skewed, Southview is symmetric

Explanation-just took the quiz

o is the centre of the circle find the size of each angle ​

Answers

Answer:

In the figure,

AC is the diameter of circle with centre O

∠DAC=37

o

AD || BC

∠ACB=∠DAC (Alternate angles)

Hence,

x=37

o

In Δ ABC,

∠B=90

o

 (angle in semicircle)

By angle sum property of triangle, we get,

∠x+∠y+∠B=180

o

37

o

+∠y+90

o

=180

o

∠y=180

o

−127

o

We get,

∠y=53

o

Step-by-step explanation:

percentage are boys? 3. The price of a chocolate bar is 25p and includes 5p profit. Express the profit as a percentage of the original price.​

Answers

Answer:

25%

Step-by-step explanation:

the original price is 20 not 25 because 25 is the total of the profit and the price of the chocolate so there's no way 25 is the original price and if you know that and you know the formula it'll be easy for you to get the percentage profit good day.

Simplify the expression using properties of exponents. 10a-8b-2/4a3b5

Answers

=52a−11b−7

Explanation:

10

a

8

b

2

4

a

3

b

5

Note:

a

m

a

n

=

a

m

n

Applying the above property to the exponents of

a

and

b

=

(

10

4

)

.

a

(

8

3

)

.

b

(

2

5

)

=

5

2

a

11

b

7

What is the perimeter of this composite figure?

Answers

Answer:

24.56

Step-by-step explanation:

the circumference of a cricle is pi times diameter (so 4pi) then add both sides of 6 (so 12)

Answer:

P= 24.56cm

Step-by-step explanation:

P=2L + πd

P=2x 6cm + 3.14x4cm

p=12cm+12.56cm

P= 24.56cm

Write an equation for this situation.

Answers

Answer: A) y = 3x + 2

Step-by-Step Explanation:

Let ‘x’ be the number of months
Let ‘y’ be the total no. of books he read

Given:

He read 2 books before joining (+2)
He plans to read 3 books per month (3x)

Equation:

= Total no. of books = 3 multiplied by the no. of months + 2 books he had read

=> y = 3x + 2

If our statement was < β is congruent to < α, the reason would be _____.

Answers

Answer:

Step-by-step explanation:

Vertical angles  theorem.

It the UK they are called opposite angles,

d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places.

Answers

Using the normal distribution, it is found that your systolic blood pressure is of 110.45.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 122, \sigma = 22[/tex].

The 30th percentile is X when Z = -0.525, hence your BP is given as follows.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.525 = \frac{X - 122}{22}[/tex]

X - 122 = -0.525 x 22

X = 110.45.

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A used car depot wants to study the relationships between the age of a car and its selling price. Listed below is a random sample of 9 cars at the depot during the last 3 months

Answers

I’ll need a picture

I need help with this problem please.

Answers

Answer:

D

Step-by-step explanation:

now bsf yall know........

Answers

Answer:

24 - 14.4b

Step-by-step explanation:

Look at the image below.
3
2.2
2
What is the area of the parallelogram?
square units

Answers

6. area of parallelogram is b x h. the base is 3, the height is 2. the height IS NOT 2.2. THAT IS THE SLANT HEIGHT NOT THE HEIGHT

Solve |x|+7<4.

A.) {x|x<-11 or x>-3}

B.) ∅

C.) {x|-3

Answers

Answer:

No solutions

Step-by-step explanation:

Given inequality,

|x|+7<4

To Find:

Value of x in the inequality.

Solution:

Add -7 to both sides

= |x|+7+(−7)<4+(−7)= |x|<−3

Find absolute value

No solutions

Why?

Reason:Because, absolute values can't be less than 0.

A piece of length of wire 8 ¼m. It is cut into two pieces. The length of onee piece is 4 3/5 m. What is the length of other piece

Answer should be 7/2m​

Answers

Answer:

3 ¹³/²⁰ m

Step-by-step explanation:

You first take 8¼ m then you subtract 4⅗m giving you 3 ¹³/20

Jill bought 3 pints of strawberries for $3.98 each. What is the best estimate of how much Jill spent?
$4.00
$9.00
$12.00
$8.00

Answers

Answer:

Answer C. $12.00

Step One: Round

First you will want to round $3.98 to the nearst hundredth. A little saying my teacher taught me to help you to remember to round:

Find your place, and move next door.

Five or over add one more!

Numbers to the left, stay the same.

Numbers to the right, zeros your name!

So, we choose the 8 in 3.98. We then round. Since the nine is over five, we add one more to it. Causing it to be 4.00

Step Two: Multiply

Now multiply buy 3 since Jill is getting three pints of strawberries

3 times 4 is twelve

So, your answer is 12.00

Hope this helps!!

Francis works and earns $3437 dollars but on a pay stub pays 42% to tax. What is the sales Tax?

Answers

Multiply:

3437 x 42%
3437 x 0.42 = 1443.54


answer: $1443.54

Determine the sine, cosine, and tangent to the angle

A sun 0=12/15

Answers

Answer:

Cos θ = 13/15

Tan θ= 12/13

Step-by-step explanation:

We are given;

Sin θ = 12/15

From trigonometric ratios, we know that;

Sin θ = opp/hyp

Cos θ = adj/hyp

Tan θ = opp/adj

Thus, since Sin θ = 12/15, then;

Adjacent side = √(15²- 12²)

Adhacent side = √169

Afjacent side =13

Thus;

Cos θ = 13/15

Tan θ= 12/13

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