factorize :3y²-54y+343​

Answers

Answer 1

1 In general, given

a

x

2

+

b

x

+

c

ax

2

+bx+c, the factored form is:

a

(

x

b

+

b

2

4

a

c

2

a

)

(

x

b

b

2

4

a

c

2

a

)

a(x−

2a

−b+

b

2

−4ac

)(x−

2a

−b−

b

2

−4ac

)

2 In this case,

a

=

3

a=3,

b

=

54

b=−54 and

c

=

343

c=343.

3

(

y

54

+

(

54

)

2

4

×

3

×

343

2

×

3

)

(

y

54

(

54

)

2

4

×

3

×

343

2

×

3

)

3(y−

2×3

54+

(−54)

2

−4×3×343

)(y−

2×3

54−

(−54)

2

−4×3×343

)

3 Simplify.

3

(

y

54

+

20

3

ı

6

)

(

y

54

20

3

ı

6

)

3(y−

6

54+20

3

)(y−

6

54−20

3

)

4 Factor out the common term

2

2.

3

(

y

2

(

27

+

10

3

ı

)

6

)

(

y

54

20

3

ı

6

)

3(y−

6

2(27+10

3

)

)(y−

6

54−20

3

)

5 Simplify

2

(

27

+

10

3

ı

)

6

6

2(27+10

3

)

to

27

+

10

3

ı

3

3

27+10

3

.

3

(

y

27

+

10

3

ı

3

)

(

y

54

20

3

ı

6

)

3(y−

3

27+10

3

)(y−

6

54−20

3

)

6 Factor out the common term

2

2.

3

(

y

27

+

10

3

ı

3

)

(

y

2

(

27

10

3

ı

)

6

)

3(y−

3

27+10

3

)(y−

6

2(27−10

3

)

)

7 Simplify

2

(

27

10

3

ı

)

6

6

2(27−10

3

)

to

27

10

3

ı

3

3

27−10

3

.

3

(

y

27

+

10

3

ı

3

)

(

y

27

10

3

ı

3

)

3(y−

3

27+10

3

)(y−

3

27−10

3

I hope this help you


Related Questions

There are 5 numbers, they are- 5,8,2,9,10
Find the mean, median and mode of it.

Answers

Mean=6.8 Median=2 Mode=none

Answer:

Mean: 6.8

Median: 2

Mode: There's no mode

Step by step explanation:

Sum of all the numbers divided by 5The middle of the setNo mode in this set

Hope it helps ;)

Please mark as brainliest!

Find the length of the third side to the nearest tenth.
5 by 8

Answers

Answer:

Step-by-step explanation:

The length of third side is: 6.3

Step-by-step explanation:

Given triangle is a right triangle where

Base = ?

Perpendicular = 5

Hypotenuse = 8

Let x be the base

As it is a right-angled triangle, Pythagoras theorem can be used to find the third side

Putting the known values

Taking square root on both sides

Rounding off to the nearest 10th

Base = 6.3

Hence,

The length of third side is: 6.3

your cell phone plan cost 24.99 per month plus $19 for each text message you send or receive you have at most $34 to spend on your cell phone bill what is the maximum number of text message you can receive or sent​

Answers

Answer:

1.

Step-by-step explanation:

You can't send two because it'd be 38

x · 1 +x1 = _____.

x
1
2x
1 + x

Answers

Answer:

2x

Step-by-step explanation:

x × 1 + x1 = ?1x + 1x = ?2x

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Plz help brainiest to the correct answer

Answers

Answer:

1- 700 calories

2- 1/2 serving

3- x = 350

Step-by-step explanation:

1- First we need to find out how many calories are in one serving so we need to divide 1,750/5 which is 350.  If 350 calories are in one serving and we want to find out how many are in 2 we multiply 350 by 2 and get us 700.

2- Since 350 calories are in one serving and we want to find out 175 calories in a serving, we know that the serving number is going to be below one.  350/2 gets us 175 which means that 1/2 x 350 is 175 so if she wants to eat 175 calories she needs to eat 1/2.

3- For every serving, we multiply it by 350. If we wanted to test the equation you simply plug in any serving number and you'll get the amount of calories in it.

Delia has 2 rectangular vegetable gardens. One measures 1.5 meters by 3.5 meters and the other measures 2 meters by 1.5 meters. If Delia wants to put up a fence around both, how much fencing does she need to buy?

Answers

17 meters of fencing

This is a perimeter problem, which is adding up all the sides, so you add up 1.5+1.5+3.5+3.5 = 10

2+2+1.5+1.5= 7

10+7 = 17

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x

h(g(f(x))) =


I have the answers already but I really don't understand so I'm primarily in this for the explanation and work please!

Thank you <3

Answers

Answer:

h(g(f(x))) = -8x² - 40x - 50

Step-by-step explanation:

Given:

f(x) = 2x + 5 g(x) = x²h(x) = -2x

To find h(g(f(x))) first find g(f(x)), substitute x with f(x):

g(f(x)) = g(2x + 5)

Since g(x) = x², the value of g(2x + 5) is:

g(f(x)) = (2x + 5)²

Now, the next step:

h(g(f(x))) = h((2x + 5)²) = -2(2x + 5)² = -8x² - 40x - 50

3-9+ 5 5/6 + 3x * 1/4 * 5.70 + 9.60 - 34/70 / 188/500 =

Answers

Answer:

   52.18332817

Step-by-step explanation:

brainly pls

solve the following:
x²=4(mod6)​

Answers

Answer:

[tex] x_{1} = 2, ▪︎ x_{2} = -2[/tex]

Step-by-step explanation:

[tex] {x}^{2} = 4 (mod6)[/tex]

[tex] {x}^{2} = 4[/tex]

[tex] x =±2 [/tex]

[tex] x_{1} = 2, ▪︎ x_{2} = -2[/tex]

(please help!)
Add −1.25+2.5

Plot the first addend and the sum on the number.

Answers

Answer:

the answer of this question is 1.25

-1.25+2.5 = 1.25.
___

A line has a slope of 3 and a y-intercept of 4. What is the equation of the line in
Slope Intercept Form?
-3x+4=y
y=3x+4
Oy=3x-4
Oy=4x+3

Answers

Answer:

General equation of a line:

[tex]y = mx + b[/tex]

m is the slope

b is the y-intercept

Therefore, answer is:

[tex]{ \boxed{ \boxed{y = 3x + 4}}}[/tex]

Plzzzzzzzz help

I dont get it

xoxo

Answers

Answer:

the answer can be 1 I guess

What is the input value other than 7 for which g(x) = 4?
X =

Answers

Answer:

x = -8

Step-by-step explanation:

The input value other than 7 for which g( x ) = 4

x = -8

1 + 2 + (-5) + 4

A . -6
B . -5
C . 0
D . 2
E . 4
F . 12

Answers

Answer:

Option D. 2

Step-by-step explanation:

1+2+(-5)+4

= 1+2-5+4

= 1+2+4-5

= 7-5

= 2

if ad and pm are medians of two similar triangles abc and pqr such that ad:pm=4:9, then calculate ar. triangle abc/ar. triangle pqr​

Answers

Answer:

4/9

Step-by-step explanation:

ad(base)/2 = abc

4x(4y)/2 = 4xy/2 = 2xy

pm(base)/2 = pqr

9x*9y/2 = 9xy/2 = 4.5xy

2xy/4.5 xy = 2/4.5 = 4/9

I'm not really sure, hopefully it works. I suck at geometry.

4) For babysitting Jack was given $19. Now
he has $39. How much money did he
have before?
A) $58
B) $20
C) $1 D) $1.05

Answers

Step-by-step explanation:

If he got $19 from babysitting and now he have $39.

So,

=$39-$19

=$20ans

I hope it will help you

Based on the slopes, what can you say about the relationship between DE and BC?

Answers

If you edit your question and put a picture that would be great:D then we could answer

The width of a rectangle measures (3s+t) centimeters, and its length measures (3s-9t) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

-16+12s
6s-8
12s+1-18t
12s-16t

Answers

Answer:

Step-by-step explanation:

Hello!

2(3s+7) + 2(3s-9t)

= 6s +14 + 6s -18t

= 12s -18t +14

A rectangle has perimeter 70 cm and length 29 cm. What is its width?

Answers

Answer:

6 cm

Step-by-step explanation:

70=29+29+2x

70=58+2x

70-58=2x

12=2x

12/2=x

6=x

Check: 29+29+6+6=70

Answer:

6 centimeters.

Step-by-step explanation:

The equation to find perimeter is P=2L+2W. L is length and W is width.

70=2(29)+2W

70=58+2W

70-58=2W

12=2W

6=w

please write where I have marked with blue​

Answers

Answer:

figure 5

Step-by-step explanation:

sorry if wrong

Answer:

Fig five is your answer

Step-by-step explanation:

cuz

every element have unique elements

100 points & i'll give brainliest!
find the indicated intersection or union. express your answers in interval notation
(-1,1) U [0,6]

Answers

Union means you take everything that was included in either individual interval.

The first interval goes from -1 to 1 (not including either endpoint).
The second interval goes from 0 to 6 (including both endpoints).

So, the first one starts at -1 and keeps going to the right, overlapping where the second one picks up and you keep going until you get to 6.

You still need to leave out -1 and include 6.

Answer: (-1,6]

5m - 9 = 8(m + 4) - 3(m + 10)
A . No solution
B . One solution
C . Infinite solution
??

Answers

Answer:

The correct choice is option A. No solution

Step-by-step explanation:

5m - 9 = 8(m + 4) - 3(m + 10)

5m - 9 = 8m + 32 - 3m - 30

5m - 9 = 8m - 3m + 32 - 30

5m - 9 = 5m + 2

      +9            +9

------------------------

5m = 5m + 11

-5m   -5m

--------------------------

0 = 11  NO SOLUTION

Answer:

option A. No solution

Step-by-step explanation:

11 = 0 This is false

write an equation in slop intercept form of the line that is a segment bisector of both AB and CD. A(1,6) B(7,8) C(3,8) D(7,12)

Answers

Answer:

d the answer is d. hope this helps loo

(PLEASE SHOW PICTURES ON HOW TO SOLVE THIS)

Answers

Answer:

Fred is [tex]\frac{17}{24}[/tex] ft taller than Benny

Step-by-step explanation:

Subtract Benny's height from Fred's height

4 [tex]\frac{1}{12}[/tex] - 3 [tex]\frac{3}{8}[/tex] ( change to improper fractions )

[tex]\frac{49}{12}[/tex] - [tex]\frac{27}{8}[/tex]

The LCM of 12 and 8 is 24 , then

= [tex]\frac{49(2)}{12(2)}[/tex] - [tex]\frac{27(3)}{8(3)}[/tex]

= [tex]\frac{98}{24}[/tex] - [tex]\frac{81}{24}[/tex]

= [tex]\frac{17}{24}[/tex]

PLEASE HELP ASAP! WILL GIVE BRAINLIEST
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 7, 28,112,... Find the 10th term.

Answers

Step-by-step explanation:

To find the "nth" term of an arithmeticsequence, start with the first term, a(1).Add to that the product of "n-1" and"d" (the difference between any twoconsecutive terms). For example, takethe arithmetic sequence 3, 9, 15, 21, 27....a(1) = 3. d = 6 (because the difference between consecutive terms is always 6.

Answer:

1,835,000

Step-by-step explanation:

Sequence formula: an = a1⋅r^n−1

a1 = first number in the sequence

n = the term you're trying to find

r = ratio it changes by

7*4^10-1

7*4^9

= 1835000

Using the information in the table, what is one way to find the number of minutes in 7 hours

Answers

Answer:

what is 7×60 it is 420. yeurueue

Convert 9 days into minutes.

Answers

Answer:

12960 minutes

Step-by-step explanation:

Answer:

12960 minutes

Step-by-step explanation:

Can I have brainliest I'm almost upgraded

Solve the equation.
e – 3.4 = 18.7

Answers

e - 3,4 = 18,7

e = 18,7 + 3,4

e = 22,1

q(q-q)-(p+q) ; use p=1 and q=3

Answers

If this is written correctly then the answer is straight up -4

alex won first place in the shot-put with a heave of 35 feet 4 inches. Griffin won second place with a heave of 32 feet 9 inches. Alex defeated Griffin by

Answers

Alex defeated Griffin by 2 feet and 5 inches. 2.5
How to solve: 35.4 - 32.9 = 2.5 :))
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