What are the roots of the quadratic equation below?
3x2 + 9x - 2 = 0
-9 + 105
O A. x =
6
O B.
X=
-3+105
2
C.
-91 57
6
OD.
x==34,57

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The roots of the quadratic equation below using the quadratic formula are option A. [-9 ± √105 ] / 6.

Given is a quadratic equation,

3x² + 9x - 2 = 0

Quadratic formula to find the roots of a general quadratic equation ax² + bx + c is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a

Here a = 3, b = 9 and c = -2.

Substituting the values,

x = [-9 ± [tex]\sqrt{9^2-(4)(3)(-2)}[/tex] ] / (2 × 3)

  = [-9 ± [tex]\sqrt{81+24}[/tex] ] / 6

  =  [-9 ± √105 ] / 6

So the roots are [-9 ± √105 ] / 6.

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Related Questions

Find the slope of the line that passes through the pair of points
(3,-3), (3,-4)
A undefined
B 0
C -7/6
D -6/7

Answers

Answer:

undefined

Step-by-step explanation:

To find the slope through 2 points

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

   = ( -4 - -3)/(3 - 3)

    = ( -4+3)/(3-3)

    = -1/0

Since it is a number divided by zero, the slope is undefined

12 men or 15 women can do a piece of work in 21 days find the number of days to complete the same work by 6 men and 10 women​

Answers

18 days required to complete same work by 6 men and 10 women.

Given: 12 men or 15 women can complete work in 21 days
To find: Days it takes to complete same work by 6 men and 10 women

Solution:
12 men = 15 women ⇒ 1 man
Men = women
Men =
15 women can finish the work by 21 days
6 men = women
6 men =
6 men and 10 women = =
women can finish the work= = 18 days.

Hope I helped have a good day

someone help plsplspls

Answers

Answer/Step-by-step explanation:

Volume of a cone = ⅓*π*r²h

Where,

Radius (r) = 7 mm

Height (h) = 8 mm

Plug in the value into the equation

V = ⅓*3.14*7²*8

V = ⅓*3.14*49*8

V = 410.293333

V ≈ 410.3 mm³ (nearest tenth)

Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent? (a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)

Answers

Answer:

100(a/b)

Step-by-step explanation:

Fraction

a/b

To a percent

100(a/b)

Answer:

100(a/b)

________________

took the test review

(got 100%)

If f(x) = 3x + 4, what is the value of f(-4)?

Answers

Answer:

-8

Step-by-step explanation:

f(x) = 3x + 4

substitute -4 in place of x

f(-4) = 3*-4 + 4

f(-4) = -12 + 4

f(-4) = -8

identify the postulate (if any) that can be used to show the two triangles are congruent.

Answers

Answer:

Step-by-step explanation:

1)  SSS

2) SAS

3) SSA

4) SSA  

no, don't say  Angle Side Side... :P  

What is the same as writing that “Angles 5 and 6 are supplementary adjacent angles”?


Angles 5 and 6 are not next to each other and sum up to 180°.

Angles 5 and 6 are not next to each other and sum up to 90°.

Angles 5 and 6 are next to each other and sum up to 180°.

Angles 5 and 6 are next to each other and sum up to 90°.

Answers

Answer:

Angles 5 and 6 are next to each other and sum up to 180°.

Step-by-step explanation:

supplement means adding up to 180

Angles 5 and 6 are next to each other and sum up to 180°.

Step-by-step explanation:

supplement means adding up to 180

Can someone simplify? I'm confused-

Answers

(64/56)^2 x (1/343) x 7^-9

=9.44x10^-11

find the value of a and b in x^2+2x=13

Answers

Answer:

a =1  and b =2

Step-by-step explanation:

The standard quadratic is written in the form

ax^2 +bx+c =0

x^2 +2x -13 =0

a =1  and b =2

Find the center and the radius of the circle given this equation:
2
x + 4x + y ² -10y +20=0

Answers

Answer:

vertex: (5/6,5)

focus: (- 2/3, 5)

axis of symmetry: y = 5

directrix: x = 7/3

Step-by-step explanation:

use the vertex form to determine the values of a.h. and k and use these values to find the direction the parabola opnes, vertex, foucs, axis of symmetry, and directrix

Marcy is taking part in a summer movie club. She will earn 3 points for each movie she attends throughout the summer. Which equation represents the relationship between y, the total points, and x the number of movies?

a
\large y=3x

b
\large y=3+x

c
\large x=3y

d
\large x=y+3

Answers

the answer is a \large y=3x

Can u solve these please I need help

Answers

Answer:

Step-by-step explanation:

take 48 degree as reference angle

using tan rule

tan 48=opposite/adjacent

1.11=missing side/58

1.11*58=missing side

64.38=missing side

A quadrilateral has one pair of parallel sides with lengths 1 3/4 inches and 1 1/4 inches, and two angles that each measure 36 degrees.

Answers

Answer:

d

Step-by-step explanation:

one side is shorter than the other so it cant be any other option

Is b = 4 a solution to the inequality below?
3 ≥ b

Also can someone tell me how to do this? step by step?

Answers

Answer:

b=4

Step-by-step explanation:

4 Also can someone tell me how to do this? step by step?

b = 4 is not a solution to the inequality.

What they’re saying is substitute the number 4 into the inequality wherever the letter b appears.

So they are asking if “3 is greater than or equal to 4” is true or not true.

If it was true, then b = 4 is a solution to the inequality. Since it is false, it is not a solution to the inequality. Does that make sense?

Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.

Answers

Adjacent angles create linear pairs so they add to 180. If we know the measure of one angle, we can find the other by subtracting from 180.

Vertical lines create congruent angles. If we know the measure of one angle, we know the measure of the angle opposite of it (they only share a vertex, no sides)

Answer:

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Step-by-step explanation:

Help me please
Express the number 0.307 x 10-Pin
scientific notation.

Answers

the answer is in the picture

what is the answer for this question? on the screenshot

Answers

B I think sorry if I’m wrong

Which of the following is an arithmetic sequence?
A. 6, 13, 20, 27, 34
B. 2, 5, 7, 12, 19
C. 3, 6, 9, 15, 24
D. 2, 4, 8, 16, 32

Answers

Answer:

A

Step-by-step explanation:

Because it’s the only sequence that have a common difference

The correct sequence which is an arithmetic sequence is,

⇒  6, 13, 20, 27, 34

Hence, Option A is true.

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

We have to given that,

To find an arithmetic sequence.

For option A;

A. 6, 13, 20, 27, 34

Common difference is,

13 - 6 = 7

20 - 13 = 7

27 - 20 = 7

Thus, The correct sequence which is an arithmetic sequence is,

⇒  6, 13, 20, 27, 34

Hence, Option A is true.

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Find the probability of this event Enter the answer as a fraction in simplest form, as a decimal, and as a
percent
You choose a marble at random from a bag containing 12 red, 12 blue, 4 green, 6 yellow, and 26 black
marbles,
The marble is red

Answers

Answer:

12+12+4+6+26=50

12/50=6/25=0.24=24%

Answer:

1/5.

Step-by-step explanation:

First you have to add up all of the numbers: 12+12+4+6+26. Then you have to find how many red marbles there are, which this case there are 12, so you get your fraction of 12/60 which can be reduced to 1/5.

Which expressions are equivalent. Picture Provided. NO LINKS! NEED ANSWER ASAP

Answers

Answer:

B) 3^-5 (1 / 243) and D) 2^5 x 6^-5 (1 / 243)

Step-by-step explanation:

3 to the negative 5th power as a fraction is

1 / 243.

2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.

Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).

Question 1 (Essay Worth 10 points)
(06.02 MC)

Part A: Write an algebraic expression for 6 more than 7 times a number. (5 points)

Part B: Write a verbal expression for 3(n + 8). (5 points)

Answers

Answer:

A.  7n+6

B Three times the quantity of a number plus eight

Step-by-step explanation:

A   more than means it comes after

7 times a number

7n

6 more than

7n+6

B 3( n+8)

Three times the quantity of a number plus eight

expanded notation for 209.36

Answers

Answer:

2.0936 * [tex]10^{2}[/tex]

Hope that this helps!

thank youuuuuuu!!! Loo

LIVE
Carlos is saving money to buy a set of golf clubs that cost $530. He already has $80.00 saved and can earn the rest of the money by mowing 15
lawns. If m represents how much he earns for mowing each lawn, which of the following equations can be solved to find how much Carlos is paid for
mowing each lawn?

Answers

Answer:

15m+80 would be the correct equation

Answer:

15*m=(530-80)

Step-by-step explanation:

30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.

Here's how we model that as an expression:

15m=(530-80)

15 lawns for m dollars would get him 530-80 (450) or the remaining amount.

Hope this helps!

In the data set below, what is the mean absolute deviation? 43 25 43 30 55 10 81 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD)​

Answers

Answer:

16.6

Step-by-step explanation:

A 150 Ohm electric toaster is powered with a voltage of 120 v, what is its current intensity

Answers

Intensity = Voltage ÷ Electerical Resistance

Intensity = 120÷ 150

Intensity = 12/15

Intensity = 4×3/5×3

Intensity = 4/5

Intensity = 0.8 Amp

What is the value of n in the equation 1/2 (n - 4) - 3 = 3 - (2n + 3)?

A. n = 0

B. n = 2

C. n = 4

D. n = 6

HELP PLEASE!!!!

Answers

Answer:

n=2

1/2n-2-3=3-2n-3

1/2n+2n=3+2+3-3

2/1/2n=5

5/2n=5

n=5 multiply 2/5

n=2

What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)
Y= -6/5x + 10
Y= -6/5x + 12
Y= -5/6x - 10
Y= 5/6x - 12

Answers

Answer:

Option D (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

[tex]slope(m1) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]or \: m1 = \frac{ - 4 - 6}{0 - 12} [/tex]

[tex]or \: m1 = \frac{5}{6} [/tex]

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

[tex]y + 2 = \frac{5}{6} x - 10[/tex]

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

Hope it helps!

1.What is the measure of each angle of an equilateral triangle? 2. Why is it the measure of each angle? please help

Answers

Answer:

1. 60°

2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.

180 ÷ 3 = 60°

The width of a rectangle, in feet, is represented by (3x + 2). The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle

Answers

Answer:

2*(5x+4) + 2*(3x+2)

= 10x + 8 + 6x + 2

= 16x + 10

The perimeter of the rectangle, in feet, is represented by (16x + 10)

Answer:

(16x + 12) ft

Step-by-step explanation:

Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2

Perimeter of the rectangle = (16x + 12) ft

How many times does the company expect the album to be downloaded in the 11th month?

Answers

2 I think hope this helps
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