[tex](3x-1)^{2} + 12x-4=0[/tex]
Can someone help me solve this. I am stuck at [tex]3(3x^{2} + 2x-1)[/tex]

Answers

Answer 1
Your answer is x = 1/3 or x = -1
To solve I would start by expanding the bracket and then collecting like-terms, and then re-factoring:
(3x - 1)² + 12x - 4 = 0
9x² - 6x + 1 + 12x - 4 = 0
9x² + 6x - 3 = 0
3(3x² + 2x - 1) = 0
From here you can factorise the bracket even further:
3(3x - 1)(x + 1) = 0
Then divide by 3:
(3x - 1)(x + 1) = 0
3x - 1 = 0
x = 1/3

x + 1 = 0
x = -1
I hope this helps! Let me know if you have any questions :)

Related Questions

Please help I don’t know how to find angels

Answers

Answer:

PLEASE GIVE BRAINLIEST AND THANKS

50

Step-by-step explanation:

angles on a straight line add up to 180 degrees

Answer:

50

Step-by-step explanation:

Take

65 x 2 = 130

180 - 130 (because of the angle of the base) = 50 degrees

so angle C is 50 degrees

Mr. Ray wanted to measure the height of a light post. He placed a mirror on the ground 32 feet from the light post, then walked backwards until he was able to see the top of the light post. His eyes were 6 feet above the ground and he was 9 feet from the mirror. Using similar triangles, find the height of the light post to the nearest tenth of a foot.

Answers

Answer:

Option (2) is the answer.

Step-by-step explanation:

From the figure attached,

AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.

Here AB = d = 6 feet

CD = w = 32 feet

BC = f = 9 feet

Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.

[tex]\frac{AB}{DE}=\frac{BC}{CD}[/tex]

[tex]\frac{6}{h}=\frac{9}{32}[/tex]

h = [tex]\frac{6\times 32}{9}[/tex]

h = 21.33 feet

h ≈ 21.3 feet

Therefore, height of the light post is 21.3 feet.

Option (2) is the answer.

Please help! I've been on this question for more than an hour...


You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking an even number and then picking an even number?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

radius symbol in mathematics ​

Answers

Answer:

its just 'r'

Step-by-step explanation:

hope this helps

Answer:

Radius symbol in mathematics =r

Step-by-step explanation:

Other symbols are

π                                      Pi

d                                        Diameter

C                                     Circumference

Given that the commuter used public transportation, find the probability that the commuter had a commute of 60 or more minutes.


Answers

Answer:

Step-by-step explanation:

can someone plz help me plz plz

Answers

Answer:

2

Step-by-step explanation:

The slope of the line is basically the gradient so I used the formula

(y2-y1) / (x2 - x1) which gives (-5-1) / (3-0) = 2

The equation –3y = 15 – 4x rewritten in slope-intercept form is

Answers

Answer:

4/3x -5

Step-by-step explanation:

please help it's in math

Answers

Answer:

3915 cubic inches

Step-by-step explanation:

Let's individually find the volume of both, and then combine them. For the triangle, we know that the length of the triangular base is 7 inches, the height is 10 inches, and the length of the prism is 29 inches. Therefore, the area of the triangular prism is 7*10*29/2=1015 cubic inches. For the rectangular prism, you simply need to multiply all of the dimensions together, getting 10*10*29=2900 cubic inches. Adding these together, you get a total of 3915 cubic inches. Hope this helps!

Please help with this probability question im not sure on my answer

Answers

Answer:

.278

Step-by-step explanation:

There are 9 coins

P (nickel) = number of nickels/ total

                = 5/9

Keeping the coin

We now have 8 coins, 4 nickels and 4 dimes

P (nickel) = number of nickels/ total

                = 4/8 = 1/2

P(nickel, keep, nickel) = 5/9* 1/2 = 5/18=.2777777777

what is the slope of the line ?

Answers

Answer:

-3/4

Step-by-step explanation:

To find the slope of a line, you need to see how much it "rises" over a certain amount of "run". In other words, for a given amount of distance traveled along the x axis, how much it traveled vertically along the y axis. In this line, for every 4 units moved to the right, the line goes up by -3 units. Therefore, the slope of the line is -3/4. Hope this helps!

Answer:

m = -4/5

Step-by-step explanation:

Slope is the difference in y-values/difference in x-values.

Since the graph goes 4 units down and 5 units right, the slope is -4/5.

Solve for the unknown value.

Answers




may u show me the unknown value ? Im not sure I undertsand

Answer:

where is the unknow value

Step-by-step explanation:

prove that:
please do it fast​

Answers

Answer:

Step-by-step explanation:

[tex]A+B=\theta\\B=\theta-A\\sin B=sin (\theta-A)\\sin A=\lambda[sin \theta cos A-cos \theta sin A]\\sin A[1+\lambda cos \theta]=cos A(\lambda sin \theta) \\\frac{sin A}{cosA} =\frac{\lambda sin \theta}{1+ \lambda cos \theta} \\[/tex]

[tex]tan A=\frac{\lambda sin \theta }{1+ \lambda cos \theta }[/tex]

The circle passes through the point (3,6). What is it’s radius?

Answers

Answer:

c. 5

Step-by-step explanation:

In the attached image we can calculate the radius in a very simple way, if we focus on the axis of the "y" we have that there is a distance that would be the diameter of the circle and goes from -2 to 8.

Between -2 and 8, there is a quantity of 10 units, since:

8 + 2 = 10

they are added because we want to know the total distance, therefore the diameter is 10, and we know that the radius is half the diameter, so:

r = d / 2

r = 10/2

r = 5

therefore the radius is 5 units, that is, the answer is c. 5

What is the probability of landing on a green section using
the spinner shown below and choosing a red playing card
from the player's hand pictured?

Answers

Answer:

s

Step-by-step explanation:

s

Calculate the 4th angle of a quadrilateral if the other sides are 56, 115 and 120.

Answers

Answer:

69°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Subtract the sum of the given angles from 360, that is

4 th angle = 360° - (56 + 115 + 120)° = 360° - 291° = 69°

please help me quickly !!

Answers

Answer:

A.

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

-4/9=x/108

you must multiply both sides

108*-4/9 = x*108

=-9/4

Which of the following best describes the use of the formula S = (n-2)180°,
where n is the number of sides?

Answers

Answer:

C. It is used to find the sum of interior angles

Also , it can be used to find the number of triangles in the polygon,

Step-by-step explanation:

Example :

Find the sum of interior angles whose no of sides is 6 and give the name of the polygon

  Solution

S = (n-2)180°

S = (6-2)180°

S = (4)180°

S = 720°

The polygon is a Hexagon

I hope it helps  :)

S = (n – 2)180° is used to calculate the sum of interior angles of the polygon. Then the correct option is A.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The sum of the interior angle of the polygon is given as,

S = (n – 1)180°

Where, n be the number of the sides.

Then the correct option is A.

More about the polygon link is given below.

https://brainly.com/question/17756657

#SPJ2

Write the following series in summation notation. 1, 4, 9, 16, 25, 36

Answers

Answer:

[tex]\sum_{k=0}^{n}2k+1[/tex]

Step-by-step explanation:

Let's take a look at how much is added from one term to the next and see if we can recognize a pattern!

1 to 4: +34 to 9: +59 to 16: +716 to 25: +925 to 36: +11

If we start by listing the first number in sequence, 1, we get the familiar list:

1, 3, 5, 7, 9, 11

Of course, this is simply the list of the first six odd numbers. To get the first term, we add the first 1 odd number, to get the second, we add first 2 (1 +3), to get the third, we add the first 3 (1 + 3 + 5), and so on. How do we shorten these sums so we're not writing out dozens of terms as the sequence goes on?

Sigma notation: Summing things up

For situations where we're adding up a lot of numbers that follow a predictable pattern, mathematicians came up with something called summation notation, or sigma notation, coming from the Greek S, Σ, short for "sum". Here's a simple example of a sum expressed in sigma notation:

[tex]\sum_{n=1}^{4}n=1+2+3+4[/tex]

Let's break this down. n acts as our counter. [tex]\sum_{n=1}[/tex] sets it to start counting at 1, and tells us to stop counting at n = 4. The [tex]\sum n[/tex] bit tells us what pattern we'll be following, in this case, each step of the way we'll be adding the value of the counter.

In summation

So how do we express the sum 1 + 3 + 5 + ... in sigma notation? First, we need an expression that describes the pattern algebraically. Ever odd number is 1 away from an even number, so we can either describe our list with the expression [tex]2k+1[/tex] (if we start at k = 0), or [tex]2k-1[/tex] (if we start at k = 1). I'll choose [tex]2k+1[/tex] for this problem.

We want to start counting at k = 0 , and we can choose whatever we want for our stopping point. Let's call that stopping point n, for the nth term in the series. In sigma notation, we can now write this series in the form

[tex]\sum_{k=0}^{n}2k+1[/tex]

Let's test it out for the first few values to see if it works!

n = 0: [2(0) + 1] = 1n = 1:  [2{0) + 1] + [2(1)+1] = 1 + 3 = 4n = 2: [2{0) + 1] + [2(1) + 1] + [2(2) + 1] = 1 + 3 + 5 = 9

Checks out!

To write the series in summation notation, we have to identify a pattern. After we identify the pattern, we get that the notation is:

[tex]S = \sum_{n = 1}^{\infty} n^2[/tex]

Terms:

The first term is 1, which is also the square of 1, as [tex]1^1 = 1[/tex]The second term is 4, which is also the square of 2, as [tex]2^2 = 2[/tex]The third term is 9, which is also the square of 3, as [tex]3^2 = 9[/tex]The fourth term is 16, which is also the square of 4, as [tex]4^2 = 16[/tex]The fifth term is 25, which is also the square of 5, as [tex]5^2 = 25[/tex]The sixth term is 36, which is also the square of 6, as [tex]6^2 = 36[/tex]

From this, we can get a pattern that each term is the square of the index, and the notation is:

[tex]S = \sum_{n = 1}^{\infty} n^2[/tex]

A similar question is found at: https://brainly.com/question/16543477

Is 364 a prime or a composite number?

Answers

Answer:

364 is an even composite number.

Step-by-step explanation:

It is composed of three distinct prime numbers multiplied together.

364 is a Composite number

A 130 cm3
B 175 cm 3
C 200 cm3
D 123 cm 3

Answers

Answer:

B-175cm 3

Step-by-step explanation:

L × W × H

7 × 5 × 5

The 7 comes from the area of the top rectangle which is 35 = 7×5.

Which unit price is the highest?
turnips for $1.51 per pound
peppers for $1.62 per pound
carrots for $1.26 per pound
O celery for $1.48 per pound

Answers

Answer: peppers

Step-by-step explanation:

Peppers cost the greatest amount per pound

$1.62 (peppers) > $1.51 (turnips) > $1.48 (celery) > $1.26 (carrots)

Answer:

pepper for 1.62 per pound

Please help fast!
Round to the underlined place value position: 15.451 The underlined number is 4

Answers

Answer:

5 or above round up 4 or below round down

15.5

The numbers after the rounded digit becomes zeroes

Hope this helps

Step-by-step explanation:

Answer:

15.5 hope this helps

:)

Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION what is -48-(-12)

Answers

Answer:

-36

Step-by-step explanation:

-48+12=-36

Answer: -36

Step-by-step explanation: −48−(−12)

=−48−(−12)

=−48+12

=−36

The table shows the number of animals, by type, at a petting zoo.

Animal Number

Goats 5

Sheep 3

Cows 2

Rabbits 6

Select the true statements about the information in the table.

Choose all answers that apply:

(Choice A)

The ratio of cows to all animals is 1:16

(Choice B)

For every 3 rabbits there are 8 total animals.

(Choice C)
None of the above​

Answers

Choice B
For every 3 rabbits there are 8 total animals

you take 6 steps forward and 8 steps backwards how many steps have you taken?

It’s a subtracting integer question.

So would it be 6-(-8)?

Answers

Answer:

I think it would be simply 6-8

Step-by-step explanation:

becuase 6-(-8) is really 6+8, which isn't correct. It could also be 6-(8), but I'm not sure.

please help, what number do you get? i’m confused

Answers

Answer: 90

Step-by-step explanation: mAB =180° as it is a straight angle

x=180-120= 60°

so,The number should be less than 180 but more than 60, be divisible by 30 and be a 2 digit no.

nos. divisible by 30 between 60 and 180 are 90,120 and 150

But there is only one of these that are 2 digit i. e. 90

Therefore, the no. is 90

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:) (^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

The answer is
90

This is because it’s less than 120°
It’s greater than the degree between c and b which is x
It can be divided by 30, 9 decided by 3 for example
It’s a two digit number
The answer is 90

reciprocal of -2/3^6

Answers

Answer:

PLEASE GIVE BRAINLIEST AND THANKS

-0.00068587105

Step-by-step explanation:

Jordan Michael runs a basketball camp. A group of randomly selected camp participants were asked to give their shirt size. The table below shows the results of the survey. There are
308
308308 camp participants this year.

Answers

Answer: 77

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

An attendant recorded the data in the table showing the types and colors of vehicles that parked in a parking lot. (Refer to the table in the image attached.) 1. What is the experimental probability that the next vehicle in the lot is a red car?

Answers

Answer:

There are 22% of chances that the next vehicle in the lot is a red car.

Step-by-step explanation:

The event is a red car vehicle. So, the experimental probability would be the ratio between the total number of red car vehicles and the total number of cars.

Notice that there are 22 red vehicles in total, and there are 100 cars in total. So, the ratio is

[tex]P=\frac{22}{100} = \frac{11}{50} = 0.22[/tex]

Therefore, there are 22% of chances that the next vehicle in the lot is a red car.

Find the volume of cylinder
Diameter of base is 11 cm
Height of cylinder is 16cm

Answers

Answer:

1520.5 cm³

Step-by-step explanation:

Volume formula for cylinder: V = πr²×h

Radius = 11 ÷ 2

           = 5.5cm

Volume = π × 5.5² × 16

             =1520.5cm³

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