Write the binomial expansion of (t-3)^5

Answers

Answer 1

Answer:

Step-by-step explanation:

(t-3)^5 is the same as (t + (-3))^5

First:  t starts at the highest power and goes down and (-3) starts at the lowest power and goes up

Second: from the Pascal triangles take the coefficients  1  5  10  10  5  1

[tex]1*t^{5} (-3)^{0} + 5*t^{4} (-3)^{1} +10*t^{3} (-3)^{2} +10*t^{2} (-3)^{3} +5*t^{1} (-3)^{4} +1*t^{0} (-3)^{5}[/tex]

Anything to power 0 is equal to 1

Negative number to an odd power is negative, to a even power is positive

[tex]t^{5} -15t^{4} +90t^{3} -270t^{2} +405t -243[/tex]


Related Questions

Solve for z
-1+8z=-73

Answers

Answer:

z=-9

Step-by-step explanation:

-1+8z=-73

+1         +1

8z=-72

z=-9

Answer: Z = -9

Step-by-step explanation:

Identify the relationship between ∠c and ∠k.

Corresponding angles

Alternate interior angles

Alternate exterior angles

Same side interior angles

Answers

Answer:

Corresponding angles

4. Rob borrows $15.00 from his father, and then he borrows $3.00
more. Write an equation using negative integers to represent Rob's
debt. How much money does Rob owe his father?


I’ll mark BRAINLY !

Answers

Answer:

He owes his father -$18.00

Step-by-step explanation:

Answer:

X=-15-3

Step-by-step explanation:

I'm pretty sure this is right because your just adding 15 and 3 but in negatives. Rob owes his dad -18$

So then X=-18

Amanda doubles a number, then subtracts six from the result. This leaves her with forty-two. What is the number she chose to double?

Amanda chose to double the number .

(Note: Please answer in numeric form.)

Answers

Amma is jacks so I is I. Wibojsb kosvkw

What is 6485.91 rounded to the nearest hundred?

Answers

Answer:6500.00

Step-by-step explanation:

If we're talking about the hundreds, that will be the third digit to the left of the decimal. 8 is greater than 5 so we're rounding up, making 485.91 500, so your answer is 6500

Answer: i think it is 7499.01??

Step-by-step explanation:

I actually don't know i am guessing?!

One hundred third-grade students go on a field trip .four equal sized buses are completely filled, and four students are riding with parents .which equation can be used to find the number of students riding on each bus?

Answers

Answer:

104÷4

Step-by-step explanation:

100 students but if 4 of them have a parent, then 104

what does this equal? show your work pls

Answers

Answer:

-0.421875

Step-by-step explanation:

Answer:

[tex]-0.421875[/tex]

Step-by-step explanation:

Turn the fraction to a decimal.

[tex]-\frac{3}{4}[/tex] ⇒ [tex]-0.75[/tex]

Solve the exponent.

[tex]-0.75^3[/tex] ⇒ [tex]-0.421875[/tex]

Thus, [tex]-0.421875[/tex] is the answer.

I need help with this question:

Answers

Answer:

Step-by-step explanation:

each number equals a letter at the 2 numbers from each line and it will give you the letter based off of the letter - number coder

Please help!!
(I’ll mark brainliest)
It’s question number 15!

Answers

Answer:

divide both side by nine

Step-by-step explanation:

v = lwh

36cm³ = 3cm × w × 3cm

36cm³ = 9cm × w

36cm³/9cm = w

Parallel Lines Practice NO LINKS PLEASE and please explain this for me so i can understand

Answers

Answer:

120

Step-by-step explanation:

As those two lines are parallel, we can express and equation:

[tex](6x + 18) + (4x - 8) = 180[/tex]

[tex]6x + 4x = 180 - 18 + 8[/tex]

[tex]10x = 170[/tex]

[tex]x = 17[/tex]

[tex]6x + 18 = 102 + 18 = 120[/tex]

I need help on this asap please don't take the points if you do know the answer.

Answers

Answer:

Q' (-1,5)

R' (-3,-1)

S' (0,0)

T' (2,3)

Step-by-step explanation:

I'm not 100% certain that this is correct but I'm looking in my notes from last year and I followed the examples it had. I hope this helped or was correct. If not sorry.

3(x-y)-5x(y-x) ..................

Answers

Answer:

what do we solve x or y?

Step-by-step explanation:

Which term is -39 in the sequence 33,25,17,9,1,-7,...​

Answers

Answer:

10th term is the answer

Step-by-step explanation:

33-8= 25

25-8= 17

17-8= 9

9-8= 1

1-8= -7

-7-8= -15

-15-8= -23

-23-8= -31

-31-8 = -39

A line passes through the points (1, 4) and (3, –4). Which is the equation of the line? y = negative 4 x + 8 y = –2x + 6 y = negative one-foA line passes through the points (1, 4) and (3, –4). Which is the equation of the line? y = negative 4 x + 8 y = –2x + 6 y = negative one-fourth x + 2 y = 2x + 2urth x + 2 y = 2x + 2

Answers

Answer:

y = -4x + 8

Step-by-step explanation:

The equation of a line is written in slope-intercept form : y = mx+b

m is the slope

We are given two points, so let's find the slope of the line first:

Slope = ΔY/ΔX = 4 - (-4) / 1 - 3 = 8 / -2 = -4

The slope is -4

So far, our equation is y = -4x + b

We can input a point's x and y value to find b, the y-intercept

Let's use point (1, 4)

4 = -4(1) + b

4 = -4 + b

b = 4 + 4

b = 8

The equation is y = -4x + 8

-Chetan K

Answer:

the answer is A

Step-by-step explanation:

y=-4x+8

What is the area of the shaded region?

Answers

Answer

157.44

Step-by-step explanation:

To find area of triangle you have to multiply base times height then divided by 1/2. 19.2 cm being your height x 16.4 cm being your base, then divide by 2.

Answer:

area of the triangle = ½×base×height

½×19.2×16.4 = 157.44

so, the area of the triangle is 157.44cm³

Step-by-step explanation:

brainliest plz

Paula went to the salon and had 1/2 of an inch of hair cut off. The next day she went back and asked for another 5/6 of an inch to be cut off. How much hair did she have to cut in all?

Answers

Answer:  1 and 1/3 or 1 and 2/6

Step-by-step explanation: 1/2 x 3 = 3/6

3/6+5/6= 1 and 2/6 or 1 and 1/3

Find the greatest common factor (reverse of distributing) SOMEONE HEPPLP

Answers

Answer:

I believe it is 5

Step-by-step explanation:

Picture (sorry for handwriting)

Answer:

5x(2x - 5)

Step-by-step explanation:

==>> 10x-25y

10 , -25

_________

10 [5 × 2]

&

-25 [-5 × 5]

----->> 5 & 5

==>>5x(2x - 5)

Find the value of that makes m ll n x=2x

Answers

Answer:

i think 20..

Step-by-step explanation:

Hope it helps

3(-2) as repeated addition please!

Answers

Answer:

-2+-2+-2 ?

Step-by-step explanation

3(-2)=

-2+-2+-2

Rationalize the denominator 1/√3−1

Answers

Multiply the fraction by the (denominator/denominator)
Which is equals to 1.

1/root3-1 * (1/root3-1) / (1/root3-1)

Now you have root3-1 / 2
Solution:

[tex] \frac{1}{ \sqrt{3} - 1 } \\ = \frac{1}{ \sqrt{3} - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1 } \\ = \frac{ \sqrt{3} + 1}{( \sqrt{3})^{2} - (1)^{2} } \\ = \frac{ \sqrt{3} + 1 }{3 - 1} \\ = \frac{ \sqrt{3} + 1}{2} [/tex]

Answer:

[tex] \frac{ \sqrt{3} + 1}{2} [/tex]

Will give brainliest, 20 points
Someone pls help me understand this, i dont know how to change my equation around

Answers

Answer:

the answer is the third one k > - 5

Answer/Step-by-step explanation:

 Step 1: Simplify both sides of the inequality.

[tex]\frac{1}{4}k+\frac{-3}{4}>-2[/tex]

Step 2: Add 3/4 to both sides.

[tex]\frac{1}{4}k+\frac{-3}{4}+\frac{3}{4}>-2+\frac{3}{4}[/tex]

[tex]\frac{1}{4}k>\frac{-5}{4}[/tex]

Step 3: Multiply both sides by 4.

[tex]4*\frac{1}{4}k>4*\frac{-5}{4}[/tex]

K > -5

 So according to this the value of k has to be greater than -5

You can check your answer by substituting the values in for k.

You can use a calculator..

[tex]\frac{-10-3}{4} >-2[/tex]  

[tex]\frac{-7-3}{4} >-2[/tex]

[tex]\frac{-1-3}{4} >-2[/tex]

[tex]\frac{0-3}{4} >-2[/tex]

Solve these and you will get your 2nd answer.

[RevyBreeze]

which of the following straight line is parallel to y = 7 - 2x?

Answers

Answer:

Whichever line has a slope of -2

Step-by-step explanation:

rewrite in slope intercept

y=mx+b     where m=slope

y=-2x+7

-2 is the slope of the original line

a parallel line will never intersect

the parallel line must have the same slope

Assuming that a + 2 = y, what is the property of:

a + 2 - 3 = y - 3
Here are the answer choices:

Answers

Answer:

its not distributive

Step-by-step explanation:

because its normally in perenthesis

Jane and Joe’s mom cook sausage links for breakfast they are seven links to be shared equally between the children which equation shows how Jane and joe can determine the number of sausage links

Answers

7/2=3.5

7 sausage links shared between 2 kids. Each kid gets 3.5 sausage links for breakfast

Which point is the image of B under the same translation?

Answers

Answer:

Point S

Step-by-step explanation:

If you went up 1 and over 1 to get from point R to point W, then you can use that same translation to get from point B to point S.

Hope this helps and have a great day ❤

A bag contains seven balls labeled 1 through 7. One ball will be randomly picked.what is the probability of picking an even number

Answers

There are 3 even numbers in 1-7. So the fraction would be 3/7 and then you can multiply it by 100 to get the percentage which is 42.86 %.

pls help and I need more than one answer instead of one person pls

Answers

Answer:

14.25 minimum

15.75 maximum

[tex]\frac{x}{2}[/tex]±4=8

Answers

Answer: X=8
•Find common denominator
•Combine Fractions with common denominator
•Multiply the numbers
•Multiply all terms by the same value to eliminate fraction denominators
•Cancel multiplied terms that are in the denominator
Multiply the numbers
•Subtracts 8 from both sides of the equation
•Simplify

find the square root of the following by long division method
(a) 1369
(b) 5625​

Answers

a). 1369 = 37

Hope it helps you

Answer:

Thank you so much

Step-by-step explanation:

Buy the I am also Collecting cups for planting

I have more idea that I will share at 5 pm today only

if 20 men working together can finish a job in 20 days then the number of days taken by 25 men of the same capacity to finish the job is​

Answers

Answer:

20x20 =400 then 400/25 = 16 Days

Step-by-step explanation:

Always multiply the amounts of initial men x initail days

then divide by the new amount of men

With other questions for tag fish and sample fish in pond questions

They ask how many fish are estimated to be on the pond.

= The amount of fish caught next day divided by the amount of fish tagged and found in that same catch.

Then multiplied by the amount of all fish tagged initially the day before.

To find random amount in pool.

This is the same method but reversed.

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