Which of the following is the complete factorization of 10x - 3 - 3x2? -(3x + 1)(x - 3) -(3x - 1)(x - 3) (3x - 1)(x + 3)

Answers

Answer 1

Answer:

[tex]=-\left(3x-1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)[/tex]


Related Questions

How to factor 3x^2-10x-8?

Answers

[tex]answer \\(x - 4)(3x + 2) \\ solution \\ {3x}^{2} - 10x - 8 \\ = {3x}^{2} - (12 - 2)x - 8 \\ = {3x}^{2} - 12x + 2x - 8 \\ = 3x(x - 4) + 2(x - 4) \\ = (x - 4)(3x + 2) \\ hope \: it \: helps[/tex]

Answer:

Step-by-step explanation:

1. 3x + 5 = 5x -9


2. 2x + 5 = 3x - 3


3. 3x + 2 = 5x - 16


Pls again answer equation questions find x, I can do this but I am so exhausted.​

Answers

Answer:

1)7

2)8

3)9

Step-by-step explanation:

1)3x+5=5x-9

3x-5x=-9-5

-2x=-14

x=7

2)2x+5=3x-3

2x-3x=-3-5

-1x=-8

x=8

3)3x+2=5x-16

3x-5x=-16-2

-2x=-18

x=9

Hope I am correct and if I am not I will edit my answer

Answer:

1. x= 7

2. x= 8

3. x= 9

Step-by-step explanation:

1. 3x+5= 5x-9       2. 2x+5= 3x-3       3. 3x+2 = 5x-16

3x-5x= -9-5           2x-3x = -3-5           3x-5x = -16-2

-2x= -14                         -x = -8               -2x = -18

x= -14/-2                           x = -8/-1              x = -18/-2

x = 7                                       x = 8                   x = 9

Helpppp meeeeee plsssssss

Answers

Answer:

a)3⁴

b)7⁵

c)10²

d)5⁷

Step-by-step explanation:

a)3²×3² = 3^2+2=3⁴

b)7×7⁴=7¹×7⁴=7^1+4=7⁵

c)10⁹÷10⁷=10^9-7=10²

d)5⁸÷5=5⁸-5¹=5^8-1=5⁷

anyone know thus multiple question.... yes you , i know you've saw this , your reading now ... please help (if you can of course )

Answers

Answer:

if union, U means plus,+

if intersect means minus, -

Which describes unit rates? Check all that apply.
-Nadia pays $30 for 2 baseball tickets.
-A certain type of sailboat travels at 7 nautical miles per hour.
-The cost of 3 hot chocolates is $2.
-A summer camp provides 3 meals for each camper.

Answers

Answer 2,4 are all described as unit rates  a unit rate is anything that has per or each in it so a certain type of boat travels at 7 hours PER mile so we know question 2 is correct and 3 is a unit rate because it has each in it A summer camp provides 3 meals for EACH camper. That’s why the answer is 2 and 4

What is the domain of y=4[x+2]

Answers

Answer:

[tex]-\infty \:<x<\infty \:\\or\\\left(-\infty \:,\:\infty \:\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Domain\:of\:}\:4\left(x+2\right)\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

which phrase represents the algebraic expression 3p + 6

Answers

Answer:9p

Step-by-step explanation:

Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?

$___

Answers

Answer:

$7.50

Step-by-step explanation:

Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!

Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures.

Answers

In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.

In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

write with explain. ​

Answers

Answer: The acute angle between diagonals is 50

Step-by-step explanation:

Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).

Alternatively:

Green angle is 130 by sum of interior angles of a triangle.

Red angle is 50 by Adjacent angles

Sin485 positive acute angle

Answers

Yes sure that is correct because acute angle is yes!

Solve for x. Assume that line which appear to be diameters are actual diameters.

Answers

Answer:

x = 8

Step-by-step explanation:

The angle above the 6x-8 = 180 -140 = 40

The angle on the opposite side is 40 degrees as well because they are vertical angles

6x-8 = 40 degrees

Add 8 to each side

6x= 48

Divide by 6

6x/6 = 48/6

x = 8

What are the domain and range of this graph

Answers

Answer:

As shown in picture, the graph starts from 0 and goes to + infinity.

=> Domain: [0, + infinity)

=> Range: [0, + infinity)

Hope this helps!

:)

Bus leaves 9:30a.m.The journey takes 26h 20 min. What time will they arrive

Answers

Answer:

They will arrive at 11:50 am the next day

Step-by-step explanation: 24 hours is a day so add 2 hours and 20 minutes

Answer:

11:50 a.m.

Step-by-step explanation:

Solve the simultaneous equation.
7a+3b=46
4a+5b=69

Answers

Answer:

a=1 and b=13

do you need the working out?

HELP ASAPPPP !!!! NEED ANSWERS NOW!!
1. Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint 1: (−10,6)

Midpoint: (7,−6)

2nd endpoint: (_____,____)

2. Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint 1: (−1,0)

Midpoint: (−10,2)

2nd endpoint: (____,____)

Answers

Answer: 1. 2nd endpoint  (24,-18)       2. 2nd endpoint: (-19,4)

Step-by-step explanation:

1.   [tex]\frac{-10+x}{2}[/tex] = 7  x = 24

    [tex]\frac{6+y}{2}[/tex] = -6    y= -18

2nd endpoint: (24,-18)

   

2.  [tex]\frac{-1+x}{2}[/tex] = -10   x= -19  

   [tex]\frac{0+y}{2}[/tex] =  2     y= 4

A SCHOOL HAS 320 GIRLS AND 250 BOYS

THE PROBABILITY THAT A GIRL IS LEFT-HANDED IS 0.2
THE PROBABILITY THAT A BOY IS LEFT-HANDED IS 0.1

ESTIMATE THE NUMBER OF LEFT-HANDED STUDENTS IN THE SCHOOL

Answers

Answer:

89

Step-by-step explanation:

I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them  together. I hope it helps and I'm not sure what method you would use for this but that's mine.

minus A plus 6 a ncert solution class 9​

Answers

Answer:

yes htjjevdhfifnfjjdeirjfjebdv dbdu you fr

How do you go from 98 to 720 using just one letter?
RIDDLE...​

Answers

Answer:

Add an "x" between "ninety" and "eight". Ninety x Eight = 720.

90 x 8 = 720

POR FA AYUDA URGENTEMENTE Dado los puntos A(-1;3) , B(2;5) y C(3;-1). Calcule 3(BA)VECTOR - 4 (CB)VECTOR

Answers

Answer:

the answer should be c

Step-by-step explanation:

Find the minimum value of C=x+3y

Answers

Answer:

c

Step-by-step explanation:

2x + 3y > 6                                                                                                          (1)

3x – 2y = 9                                                                                                         (2)

x + 5y = 20                                                                                                        (3)

From (1) and (2), we have:

(2x + 3y) - (3x - 2y) > 6 - 9

5y - x > -3                                                                                                          (4)

From (3) and (4), we have:

(x + 5y) - (5y - x) > 20 - (-3)

2x > 23

x > 12,5                                                                                                               (5)

From (3) and (5), we have:

x + 5y = 20 ⇔ 12,5 + 5y > 20

5y > 7,5

y > 1,5

So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5

Conclusion: C > 54,5

In ΔJKL, the measure of ∠L=90°, KL = 6 feet, and JK = 7 feet. Find the measure of ∠K to the nearest tenth of a degree.

Answers

Answer:

40.6 degrees

Step-by-step explanation:

We know:

KL = 6

JK = 7

Angle L = 90 degrees

So JL is the hypotenuse, meaning we can find it with Pythagorean Theorem. This gets us :

[tex]6^{2}+7^{2} = c^{2}\\c =\sqrt{85}[/tex]

We can find angle K with the following equation:

[tex]sin(k) =\frac{opposite}{hypotenuse} = sin(k) = \frac{6}{\sqrt{85} } = k = arcsin ( \frac{6}{\sqrt{85} }) = 40.6[/tex]

Answer:

31

Step-by-step explanation:

\cos K = Adj/Hyp = 6/7

cosK=  7/ 6

K=\cos^{-1}(6/7)

K=cos  −1  (  6/7  )

K=31.0027≈31  

What is the domain of the function on the graph?
1. all real numbers
2. all real numbers greater than or equal to 0
3. all real numbers greater than or equal to -2
4. all real numbers greater than or equal to -3
(look at attached graph)

Answers

Answer:

3. All real numbers greater than or equal to -2

2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?​

Answers

Answer:

81.8 kg

Step-by-step explanation:

To find the total mass you have to add both of their mass

46.2 kg+35.6 kg= 81.8 kg

Their total mass is 81.8 kg #


Need help , can’t find this one

Answers

Answe : 2
Since it is the inverse g(2) = -3
And f(-3) = 2

2 Points
Is either x = 20 or x = 12 a solution to x-8 = 4?
A. x = 20 is a solution, but x= 12 is not.
O B. Neither is a solution.
O c. x = 12 is a solution, but x = 20 is not.
O D. They are both solutions.​

Answers

The answer is C because 8+4= 12

Find the logarithmic form of 54 = 625

Answers

Answer:

4 log 5 = log 625.

Step-by-step explanation:

I am assuming you mean 5^4 = 625

Taking logs

log 5^4 = log 625

4 log 5 = log 625.

At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale

Answers

Answer:

$14

Step-by-step explanation:

35% is the same as multiplying by .35

40 * .35 = 14

Hosiste product of 2 and 5 shown on anumber ine?

Answers

[tex]the \: right \: answer \: is \: of \: option \: d \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Direct Variation: If y = 9, when x = -3, find x when y = -27. a.9 b.27 c.-27 d,-9

Answers

Answer:

a. 9

Step-by-step explanation:

[tex]k = \frac{9}{-3} = -3\\y = -3x\\-27 = -3x\\\frac{-27}{-3} = \frac{-3x}{-3} \\9 = x[/tex]

Answer:

a. 9

Step-by-step explanation:

because the orginal number was 9 and the newer one is -27 we can determine that y was multiplied by -3 so you would apply the same rule to -3 or x and you would get a product of 9 because two negatives equals a postive

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