If y^4-y^3-3 is multiplied by 2y^3-2, what is the coefficient of y^3 in the product?
A. -4
B. -2
C. -1
D. 1
E. 6

Answers

Answer 1

Answer:

-4

Step-by-step explanation:

[tex](y^4-y^3-3) \times (2y^3-2)=...+[(-1)(-2)+(2)(-3)]y^3+...\\=...+[2-6]y^3+...\\=...+(-4)y^3+...\\[/tex]

so coefficient of y^3=-4


Related Questions

What are the possible values of x in x2 + 3x + 3 = 0?

Answers

Answer:

Step-by-step explanation:

Answer:

=3

Step-by-step explanation:

given the general form ax2 +bx+c=0

there exist two solutions where: a=1,b=3andc=3

Type the correct answer in the box. Use numerals instead of words. What value of x satisfies this equation? log2 (6x – 8) – log2 8 = 1 The value of x is​

Answers

Answer:

Espero te sirva

Step-by-step explanation:

Suerte ******'**

You can use two important properties of log to find out the solution of the given equation.

The value of x that satisfies the given equation is 4

What is logarithm and some of its useful properties?

When you raise a number with an exponent, there comes a result.

Lets say you get

[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b= log_a(c)[/tex] ,  here 'a' is called base of logarithm.

Some properties of logarithm are:

[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(a) = 1[/tex]  

(take special attention over that base "a" in all of the above property as you might mix them with other base logarithms which is not allowed)

How to find the solution to the given equation?

We can use the fourth, property and then can use third and first property as follows:

[tex]log_2(6x-8) - log_2(8) = 1\\\\log_2(\frac{6x-8}{8}) = log_2(2)\\\\\dfrac{6x-8}{8} = 2\\\\6x-8 = 2 \times 8\\6x-8 = 16\\6x = 16 + 8\\6x = 24\\\\x = \dfrac{24}{6} = 4\\\\x= 4[/tex]

Thus, the value of x for the given condition is obtained as 4.

Learn more about logarithms here:

https://brainly.com/question/20835449

If f(1) = 1 and f(n + 1) = 5f(n) + 3 then find the value of f(4).

Answers

Answer:

218

Step-by-step explanation:

Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,

f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8

f(3) = 5(8) + 3 = 40 + 3 = 43

f(4) = 5(43) + 3 = 215 + 3 = 218

What is the volume of the cylinder shown below?
15
10

Answers

Answer:

option B

Step-by-step explanation:

Given r = 10 , h = 15

[tex]Volume = \pi r^2 h = \pi \times 10^2 \times 15 = \pi \times 100 \times 15 = 1500 \pi \ cubic \ units[/tex]


answer please answer

Answers

Answer:

Step by step explaination:

Function A:

When x=5, y=17

x=4, y= 17-4=13

So x=3,y=13-4=9

and then,

x=2, y= 9-4=5.

Function B:

When x=2, y= 2.

Therefore, when x=2 then Function A is greater than Function B.

Mickey planted a 34" tree that grows 7.5" every year. How tall will the tree be in 5 years

Answers

Given:

The initial length of a tree = 34''

The tree grows 7.5'' every year.

To find:

The height of the tree in 5 years.

Solution:

It is given that,

Length of tree increased each year = 7.5''

Length of tree increased 5 year = 5×7.5''

                                                     = 37.5''

The initial length of a tree is 34''. So, the length of tree after 5 years is

34'' + 37.5'' = 71.5''

Therefore, the length of the tree in 5 years is 71.5''.

What is the common ratio for the sequence 1, 4, 16, 64,...?
1/4
1/2
2
4​

Answers

Answer:

4

Step-by-step explanation:

each term is 4 times the previous term

the common ration is 4

Answer:

r = 4

Step-by-step explanation:

The common ratio r of the geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{1}[/tex] = 4


Please help thanks! Brainliest

Answers

[tex]5[/tex] ✅

Step-by-step explanation:

[tex]14 + {6}^{2} \div ( - 4) \\ \\ \: = 14 + \frac{6 \times 6}{ - 4} \\ \\ \: = 14 - \frac{36}{4} \: \\ \\ = 14 - 9 \\\\ \: = 5[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

12.5

Step-by-step explanation:

14+6²÷(-4)

=14+6×6÷(-4)

=14+36÷(-4)

=50÷-4

=12.5

How many situations are there to the systems of equations graphed below if the lines are uuu parallel?

Answers

Answer:

2

Step-by-step explanation:

Yes the parallel line segment to eat the answer

find the percent change from 4/5 to 3/5

Answers

The percent of change is 25%. Since there is 4 parts is 4/5 and you take one to make 3/5/ Your basically taking 25% or 1/4th on the original thus making it a 25 percent change.

The lengths of two pieces of fabric are in the ratio 7:5. If the first length is 210 meters, what is the second length? *​

Answers

Answer:

150 meters

Step-by-step explanation:

[tex]\frac{7}{5} =\frac{210}{x\\}[/tex]

cross multiply:

7x = 1050

solve for x by dividing both sides by 7:

x = 150

the second length is 150 meters

Answer:

150 meters

Step-by-step explanation:

To get from 7 to 210 it was multiplied by 30 (we know this because 210 divided by 7 is 30) so that means to get from 5 to the missing length of the second rope, you multiply by 30. 5 times 30 is 150, so the second rope is 150 meters long.

:) ur welcome

Un terreno tiene forma rectangular como se muestra en la siguiente figura. ¿Cuál es la expresión que representa el área del terreno? A. a2+2a+2 B. a2−2a−8 C. a2−8a−8 D. a2−8a+15

Answers

Answer:

si 2

Step-by-step explanation:

m (slope) =
b ( y - intercept) =
x - intercept =​

Answers

Answer:

Step-by-step explanation:

The line is parallel to the x axis, so its slope is 0

m = 0

the y intercept is -2.5

the line doesn’t intercept the x axis because is parallel to it

Someone help me please

Answers

Answer:

-64

Hope it helps

What is 1/6
as a decimal?
Give your answer rounded to 3 decimal places.

Answers

0.167 I believe!

<3

I'm sure you'll do great!

Answer:

0.167(rounded 3dp)

Step-by-step explanation:

100/6=16.6666...

[tex]\frac{16.666}{100}[/tex]= [tex]\frac{1}{6}[/tex]

[tex]\frac{16.666}{100}=(into decimal)0.167[/tex]

A family of 5 bought airline tickets. In addition to their ticket,each person had to pay $39 to check their bag. They spent a total of $1640.
Find the price of each airline ticket

Answers

Answer:

289

Step-by-step explanation:

5 people pay 39 each for their bag, so, 5*39 is 195

now you have to subtract the cost of the baggage(195) from 1640 to be able to get the total cost of tickets- 1640-195 is 1445

the last thing you do is divide the total cost of tickets by the number of people- 1445/5 is 289

By what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%? THANK YOU SO MUCH TO WHOEVER ANSWERS IT I HAVE VERY LITTLE TIME!

Answers

Answer:

decreased by 50%

Step-by-step explanation:

[tex]\frac{x}{y}[/tex]

100% - 60% = 40% = 0.4

100% - 20% = 80% = 0.8

[tex]\frac{0.4x}{0.8y}[/tex] = [tex]\frac{x}{2y}[/tex] = 0.5 × [tex]\frac{x}{y}[/tex] ⇒ the original fraction is decreased by 50%

Please please help me

Answers

Answer:

B) 27.2 m^2

Step-by-step explanation:

because to get the area of the parrelelogram, you use the formula (b)(h) or 6.8*4 to get 27.2.

Find the volume of this shape

(17)

Answers

Answer:

84mm^3

Step-by-step explanation:

multiply 12 by 7

it’s be 1008 if u multiply 12^2 by 7

In the figure, the area of the shaded region is 224π cm^2.
What is the value of x?

Answers

Answer:

6330,24

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

x is the radius of the inner white circle

The area of the whole circle is

A = πr² = π × 18² = 324π cm²

The area of the shaded region = 224π cm²

Then the area of the white circle = 324π - 224π = 100π

Area of white circle = πx² = 100π ( divide both sides by π )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Hallar el menor número no divisible por 4, 6, 9, 11 y 12, tal que al dividirlo por estos números se obtengan restos iguales.

Answers

Answer:

397

Step-by-step explanation:

Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;

Por teorema del resto, tenemos;

p (x) = (x - a) · Q (x) + R

Dónde;

p (x) = El número, que se divide

Q (x) = El cociente

(x - a) = El divisor

R = El resto

Dado que el número más pequeño es 4, el resto, 0 <R <4

Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;

R = 1

Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;

(x - a) · Q (x) = 396

R = 1, dar;

p (x) = 396 + 1 = 397

Por lo tanto;

El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397

16.
Which of the following are the coordinates of the vertex of y= 3x2 + 3?

A. (3, 0)

B. (0, 3)

C. (–3, –3)

D. (3, 3)

Answers

Answer:

D

Step-by-step explanation:

is the correct answer i believe.

Answer:

B. 0,3

Step-by-step explanation:

I took the test and checked the answer, 0,3 is correct.

Calculate the measure of angle P:

Answers

Answer:

122.3 degrees

Step-by-step explanation:

To get the measure, we use the appropriate method

The method we are going to use here is the cosine rule

We have the general form as;

a^2 = b^2 + c^2 -2bc Cos A

where a = 25

b = 9 and c = 19

Substituting these values;

25^2 = 9^2 + 19^2 - 2(9)(19) Cos A

183 = -342 cos A

cos A = -183/342

cos A = -0.54

A = arc cos -0.54

A = 57.65 ( since cosine is negative in the second quadrant, then the value will be 180 - 57.65

= 122.35

m (slope) =
b ( y - intercept) =
x - intercept =​

Answers

Answer:

Step-by-step explanation:

Answer:

Hello! The slope is 1/2, the B value is 2, and the x- intercept would be -6!

Step-by-step explanation:

Well, the B intercept in the start point, as we can see, this linear equation starts at 2! Also, it is the y-intercept, therefore it intercepts the y-line at 2 if you look closely. For the slope, we can figure this out by picking any two clear points on the graph that the line goes through that is EXACT, (has to be directly on a point that is a whole number), and we do rise over run to calculate the slope! If you are having trouble with that, I suggest watching videos on Khan Academy's website about linear equations/linear graphs! Again, with rise over run, we can figure out the x intercept once it passes over the x intercept! I'm not an expert but I have been in algebra!

Pls help me with this

Answers

Answer:

44ft

Step-by-step explanation:

12ftx6ft=72ft

72ftx2ft= 144ft

144ft-100ft=44ft

Hope this helps! :)

L x W x H
Length = 12
Width = 6
Height = 2

The answer is 144

HEYYYYT guys I probably know that your tired of me but u only have 2 question left :( I'm sorry guys ​

Answers

Answer:

There is no right answer in the option choice if you would want to find the area of the figure.

Step-by-step explanation:

5*12 = 60

11*6 = 66

60+66 = 126 square feet

Calculate the area and perimeter of a rectangle of sides 4 23 m and 2 ½ m

Answers

Answer:

area=lenght × width

=423×2.5

=1057.5

perimeter =2L×2W

=2×423×2×2.5

=846×5

=4230

Simplify the radical 245c3.
O 56/490
O 76/50
O 49c2/5c?
5c²/TC

Answers

Answer:

Simplest form of radical √245c³ = 7c√5c

Step-by-step explanation:

Given radical value:

√245c³

Find:

Simplest form of radical √245c³

Computation:

Given value

√245c³

Step 1 :

Prime factorisation of given radical value

Simplest form of radical √245c³ = √5 × 7 × 7 × c × c × c

By taking 7 and c from out of root

Simplest form of radical √245c³ = 7 × c √ 5 × c

Simplest form of radical √245c³ = 7c√5c

Help plz..And No links!! I repeat No links!!

Answers

I believe the answer to this is:

8:35

Hope this helps! :D

An amusement park is holding a contest for people who are in line before 7:00 a.m. The 42nd person i. line wins free admission , and so do the six people before that person . which graph could be used to determine the winners?

Answers

Answer: bottom left

Step-by-step explanation:

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