Write an equation for each line in slope-intercept form.​

Step-by-step explanation:

polynomial identities means equations where the left and the right side are always identical (no matter what values we use for the variables).

so,

A is not.

(x + 2)³ = x³ + 8

(x+2)(x+2)(x+2) = x³ + 8

(x² + 4x + 4)(x+2) = x³ + 8

x³ + 4x² + 4x + 2x² + 8x + 8 = x³ + 8

x³ + 6x² + 10x + 8 is definitely not generally the same as x³ + 8

B is not.

x⁶ + x = (x-1)(x⁵ + x⁴ + x³ + x² + x)

x⁶ + x = x⁶ + x⁵ + x⁴ + x³ + x² - x⁵ - x⁴ - x³ - x² - x

x⁶ + x = x⁶ - x

that is definitely not generally equal.

C is an identity

(x² - 1)(x⁴ + x² + 1) = x⁶ - 1

x⁶ + x⁴ + x² - x⁴ - x² - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

D is not.

(x+1)⁴ = x⁴ + x³ + x² + x + 1

(x+1)²(x+1)² = x⁴ + x³ + x² + x + 1

(x²+2x+1)² = x⁴ + x³ + x² + x + 1

x⁴ + 2x³ + x² + 2x³ + 4x² + 2x + x² + 2x + 1 =

x⁴ + 4x³ + 6x² + 4x + 1

that is definitely not generally the same as

x⁴ + x³ + x² + x + 1

E is an identity

(x+1)(x⁴ - x³ + x² - x + 1) = x⁵ + 1

x⁵ - x⁴ + x³ - x² + x + x⁴ - x³ + x² - x + 1 =

x⁵ + 1 = x⁵ + 1

yes, identical.

F is an identity

(x³-1)(x³+1) = x⁶ - 1

x⁶ + x³ - x³ - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

Answer:

A

Step-by-step explanation:

The graph representing a proportional relationship is a straight line graph passing through the origin.

This is shown in graph A

Answer: %0.00100010001

Step-by-step explanation:

Answer:

here is the answer x>1/2

Answer:

0.92 can be written as a fraction, because it is a terminating decimal. ( See the following. )

[tex] \frac{23}{25} [/tex]

0.777... can't be wrtten as a fraction, because it is a repeating decimal.

0.444... can't be written as a fraction, because it is a repeating fraction.

0.5813.. can't be written as a fraction, because

it is a decimal that neither terminates nor repeats.

For example : Root numbers don't terminates or repeats.

[tex] \sqrt{ 2} = 1.41421...[/tex]

I hope it helps.

Answer:

The value of x so f (x) = 7 is 5.

Step-by-step explanation:

Answer:

29.4 minutes represents the 60th percentile

Step-by-step explanation:

Given :  The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.

To Find : Which time represents the 60th percentile?

 19.6 minutes

26.6 minutes

29.4 minutes

36.4 minutes

Solution:

time represents the 60th percentile

Means  60 % data = 0.6 below this

from z table ,  z score for this =  0.253

z score  = ( Value - Mean ) / SD

=> 0.253  = ( Value - 28 ) /5.4

=> 1.3662  =  Value - 28

=>  Value = 29.3662

=>  Value = 29.4

29.4 minutes represents the 60th percentile

Answer:

0.62 < 5/8 < 0.71 < 0.8

That’s it in ascending order

0.8 > 0.71 > 5/8 > 0.62

That’s it in descending order

Step-by-step explanation:

Answer:

62%, 5/8, 0.71, 0.8

Step-by-step explanation:

62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8

Answer:

Mr Burkett travelled 407.5 miles during his full trip.

Step-by-step explanation:

First, we must determine the distance he travelled in the first 3.5 hours. Luckily, we know his speed during that time so we can just multiply 70 miles per hour by 3.5 hours. That is 245 miles.

In the second step, we must determine the distance he travelled during the second part of his trip where he slowed down a bit. 65 miles per hour times 2.5 hours is 162.5 miles.

Finally, we can just add them! 245 + 162.5 = 407.5.

Answer: 144

Step-by-step explanation:

since x=6  and im assuming ° means multiplication

12(6) times (6-4)

72 times 2

144

Answer:

144

Step-by-step explanation:

(12)(6)(6−4)

=144

1 = 1 = 1 < 2 < 22

1 is equal to 1 is equal to 1 is less than 2 is less than 22

1 = 1    =1    < 2   < 22                                                                                                                1       1       1       1        1        hope help mark brain.....?

Answer:

y + 4 = -5(x - 15)

Step-by-step explanation:

The given line has a slope of 1/5.  Any new line perpendicular to this given line has a slope which is the negative reciprocal of 1/5:  -5.

Use the point-slope equation of a line:  y - k = m(x - h), where (h, k) is the point through which the new line passes.  Here h = 15 and k = -4, so we have:

y + 4 = -5(x - 15)

This line is perpendicular to the given line and also passes through (15, -4).

Answer:

B. Shania's conclusion is the only accurate one.

Step-by-step explanation:

Answer:

y = -13.5

x = -10.5

Step-by-step explanation:

Hi there!

Let the two numbers be equal to x and y.

The difference of two numbers is 3 ⇒ x - y = 3

Their sum is - 24 ⇒ x + y = -24

Solve using elimination:

x - y = 3

x + y = -24

Add the two equations:

x + x - y + y = 3 - 24

2x = -21

x = -10.5

Solve for y:

-10.5 - y = 3

- y = 3 + 10.5

y = -13.5

I hope this helps!

Answer:

Total cost of the book = $51.89

Step-by-step explanation:

Total cost of the book = Cost of the book + (cost of the book × sale tax %)

Total cost of the book = $50.38 + ($50.38 × .03)    3% = .03 as a decimal

 Total cost of the book =$50.38 + $1.5114)

  Total cost of the book = $51.8914

   Total cost of the book = $51.89

Step-by-step explanation:

for the first one let's write our equation

(13x+2)+(3x-4)+(5x-7)=180

Combine like terms

21x-9=180

Add 9 to both sides

21x=189

Divide both sides by 21

x=9

Now for the second one

Let's write our equation

(19x-18)+(7x+1)+(10x-9)=180

Combine like terms

36x-26=180

Add 26 to both sides

36x = 206

Divide both sides by 36

x = 5.72222...

Answer:Twin Bed – $60.48

Shoes - $20

Dresser, Mirror, Bookshelf - $82.11

Blanket, Clothes, Toys, Diapers - $277

Step-by-step explanation:

This gives us a total of 439.59

Answer:

Below

Step-by-step explanation:

To graph an equation, we must have a y-intercept and a slope. Now, our equation is y = mx + b

We just replace the slope with 'm' and the y-intercept with 'b'. Let's say that our slope is 4 and y-intercept is 5. Then our equation will be y = 4x + 5.

Hoped this helped.

Using proportions, it is found that he was supposed to read the book in 10 days.

40 pages - x days

25 pages - x + 6 days

Applying line multiplication, as it is an inverse rule of three:

[tex]40x = 25(x + 6)[/tex]

[tex]40x = 25x + 150[/tex]

[tex]15x = 150[/tex]

[tex]x = \frac{150}{15}[/tex]

[tex]x = 10[/tex]

He was supposed to read the book in 10 days.

A similar problem is given at https://brainly.com/question/24372153

Answer:

1 # 2 = 4

Step-by-step explanation:

1 # 2 = 2*1 + 2 = 2 + 2 = 4

Answer:

$$x=5$$, so after five months the costs would equal each other

Step-by-step explanation:

i think pls mark brainliest

Answer: 6457/25=258.28

Step-by-step explanation:

Answer:

258.28  Hope this helps! Please mark brainliest it means a lot to me

Step-by-step explanation:

Th=0

H=2

T=5

0=8

tenth=2

hundredth=8

You could get the answer by doing long division/standard algorithm

Answer:

see below

Step-by-step explanation:

the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11

Answer:

bbc

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference of the garden is:

Number of rounds:

Radius=63m=r

Circumference

[tex]\\ \sf\longmapsto 2πr[/tex]

[tex]\\ \sf\longmapsto 2(3.14)(63)[/tex]

[tex]\\ \sf\longmapsto 6.28(63)[/tex]

[tex]\\ \sf\longmapsto 395.6m[/tex]

Rounds:-.

[tex]\\ \sf\longmapsto 1188/395\approx 3[/tex]

Answer:

70.2

Step-by-step explanation:

777 = 10h + 75

=> 702 = 10h

=> h = 70.2

Therefore, it took 70.2 hours to lease the corvette.

Hoped this helped.

Answer:

Table I blank is 1

Table II blank is 1.398

Answer:

Gradient = -2/3

y-intercept = 7/3

Step-by-step explanation:

Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept

2x + 3y = 7

3y = -2x + 7

y = -2/3x + 7/3