Mathematics High School

show that (x+1)(x+3)(x+5) can be written in the form ax^3 + bx^2 + cx+ d where a,b,c and d are all positive integers.

Answers

Answer 1

Answer:

x³ + 9x² + 23x + 15

Step-by-step explanation:

Given

(x + 1)(x + 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² + 4x + 3)(x + 5)

Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is

x²(x + 5) + 4x(x + 5) + 3(x + 5) ← distribute the 3 parenthesis

= x³ + 5x² + 4x² + 20x + 3x + 15 ← collect like terms

= x³ + 9x² + 23x + 15 ← in the form ax³ + bx² + cx + d

Related Questions

Umm I don’t understand this question

Answers

Step-by-step explanation:

Hey there!!

Given,

[tex] \frac{24}{28} [/tex]

We generally divide the fraction from smallest prime number if they are divisible and make it in a simplest form.

So, let's work with it.

[tex] = \frac{24}{28} [/tex]

Divide it by 2.

=[tex] \frac{12}{14} [/tex]

See, it's again divisible by 2, so again divide it by 2.

=[tex] \frac{6}{7} [/tex]

Now, here 6 can be divided by 2, 3 but 7 can't be divided, as it is a prime number.

So, the answer is option D.

Hope it helps...

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Question 1
Caroline said the absolute value of -25 is 25. Is she correct? Explain.

Answers

Answer:

lolllll

Step-by-step explanation:

GETT IT RIGHT AND GET BRAINLiEST

Answers

Answer:

solution is -3

Step-by-step explanation:

z=69

69-72

-3

Answer:

[tex]-3[/tex]

Step-by-step explanation:

[tex]z=69[/tex]

Substitute this into [tex]z-72[/tex]:

[tex]69-72=-3[/tex]

enter in the number below that will make the right expression equivalent to the left expression:
1. 7+2+n=____+n
2. (3+7)+6=____+6
3. 2+(3+7)=2+___
4. 10+2+5=____
5. 7+(-4)+3=____+3
6. -11+8+n=____+n

Answers

1.9+n
2.10+6
3.2+10
4.17
5.3+3
6.-3+n

-27 = 3 (x - 2) How do I solve this? Step by step please

Answers

Answer:

Step-by-step explanation:

3(x - 2) = -27

3x - 6 = -27

3x = -21

x = -7

Simplify each expression by distributing and combining like terms
6(x + 1) – 5(x + 2)

Answers

Answer:

x-4

Step-by-step explanation:

6(x+1)-5(x+2)

=6x+6-5x-10

=x-4

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x - 9}}}}}[/tex]

Step-by-step explanation:

[tex] \star \: \sf{6( x + 1) - 5(x + 2)}[/tex]

Distribute 6 through the parentheses

Similarly, distribute -5 through the parentheses

[tex] \dashrightarrow{ \sf{6x + 6 - 5x - 10}}[/tex]

Collect like terms

Like terms are those which have the same base

[tex] \dashrightarrow{ \sf{6x - 5x + 6 - 10}}[/tex]

[tex] \dashrightarrow{ \sf{x + 6 - 10}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \dashrightarrow{ \boxed{ \sf{x - 4}}}[/tex]

Hope I helped!

Best regards! :D

The price of an item is $6.15. You want to buy two of the items and give the cashier a $10 and a $5 bill. What is the change?

Answers

Answer:the answer is

$2.7

Step-by-step explanation:

Answer: The answer is 2 dollars and 70 cents

Step-by-step explanation: if you add 6.15 and 6.15 it equals 12.30 and then if you subtract 15.00 and 12.30 it equals 2.70

A sum of money is divided into the ratio 3:4. The larger portion is then divided into 3 parts in
the ratio
If the smallest part is $192, find the original sum of money.

Answers

Step-by-step explanation:

this is your answer.........

A color printer prints 18 pages in 8 minutes.
How many minutes does it take per page?​

Answers

Answer:

2.25 pages per minute

Step-by-step explanation:

Step 1:

18 ÷ 8

Step 2:

2.25

Answer:

2.25 pages per minute

Hope This Helps :)

Which expression is equivalent to x6 – 9? This polynomial is an example of a ?

Answers

Answer:

difference of squares

Step-by-step explanation:

Answer:

Difference of Squares

Step-by-step explanation:

Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22. Solve for x

Answers

Answer:

         x = 35

Step-by-step explanation:

If points A, B, and C are collinear and point B is the midpoint of AC then

AB = BC

12x - 398 = 22

   + 398      + 398

 12x  =  420

  ÷12    ÷12  

  x = 35

if a is a rational number and b is a rational why could c be an irrational number

Answers

Answer:

Let a be a rational number and b be an irrational number. b = c - a, which means that b is rational. ... Since an irrational number cannot equal a rational number.

Step-by-step explanation:

PLZ MARK BRAINLIEST

The answer is that an irrational number cannot equal a rational number.

What is an irrational number?

Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers.

Let a be a rational number and b be an irrational number. b = c - a, which means that b is rational. Since an irrational number cannot equal a rational number.

Therefore an answer is that an irrational number cannot equal a rational number.

To know more about irrational numbers follow

https://brainly.com/question/1300130

#SPJ2

4 gallons=___pints?




Helppp

Answers

Answer:

32

Step-by-step explanation:

multiply the volume by 8

I need help, please.

Answers

Answer: A
16x^2 - 56xy + 49y^2
4^2x^2 - 2 • 4x • 7y + 7^2y^2
(4x)^2 - 2 • 4x • 7y + (7y)^2
=(4x-7y)^2

Please help me with this question

Answers

It’s A or C one of those

If f(x) = 2x2 + 1, what is f(x) when x = 3?

Answers

Answer:

When x is equal to 3, f(x)= 13

Step-by-step explanation:

f(x) is basically y so it is asking us to find y when x=3

2x2+1

2*3*2+1

12+1= 13

When x is equal to 3, f(x)= 13

Hope this helps!

Please answer this !I will mark it the brainiest!!

Answers

Answer:

The answer would be B

Step-by-step explanation:

Help me plz !!!!!!!!!!!!!!!

Answers

Answer:

A. 2/3 book/hour

Step-by-step explanation:

rewrite the fractions as a decimal if it can make it easier for you (0.5 book/0.75 hours) then divide which is 2/3 book/hour

Give the absolute value of expression |-12.1|

Answers

Answer:

12.1

Step-by-step explanation:

its just how many spaces away from 0 it will never be a negetive #

Click or touch the graph to plot the points.
ty
16
Graph each set of points. Which set represents
equivalent ratios?
O (1,4), (2, 6), (3, 3)
O (2,8), (3, 12), (4, 16)
O (3, 8), (6, 16), (8, 20)
(1,5), (3, 12), (5, 20)
12
8
4
1
4
8
12
16

Answers

the answer is B because when they are simplified they all equal to be 1/4

G is the midpoint of FH. If FG = x + 5 and GH = 6x, what is GH?
F
G
H
x+5
6x

Answers

Answer:

GH is equal to 6x

Step-by-step explanation:

GH is equal to 6x because this has been given to us.

60:£3.Give the answer in lowest terms​

Answers

Answer:

20:£1

Step-by-step explanation:

To simplify a ratio is like like simplifying a fraction

Take 4/8 as an example. Find a number you can divide both numbers with. In this case, it's 4. 4 divided by 4= 1, and 8 divided by 4= 2. So, the simplified version of 4/8 is 1/2. Similarly, with the ration 60:£3, you find the number you can divided both numbers with. In this case, it is 3. 3 divided by 3= 1, and 60 divided by 3= 20.

Final Answer: 20:£1

D
Question 3
Write the phrase as an expression.
12 more than the quotient of a number k and 5


Answers

Answer:

12+k/5

Quotient is a quantity produced by the division of two numbers.

I don’t understand this please help

Answers

Answer:

3rd option

Step-by-step explanation:

-8 ≥ -5x + 2 > -38 subtract 2 from all three expressions

-10 ≥ -5x > -40 divide by 5

-2 ≥ -x > -8 now multiply by -1

2 ≤ x < 8

11+4+x=x+9. kaksjdjdbdjjdjdbdbd

Answers

Answer:

x=0.6

Step-by-step explanation:

11+4+x=x+9

15+x=x+9

15x=9x

             9/9=1

9/15=0.6

x=0.6

Ella is buying a $110 chair. She has a coupon for 15% off. How much does she pay for the chair if sales tax is $6 ​

Answers

Answer: the answer should be 99.5

Find the distance between the points J( - 8.0) and K(1, 4).

Answers

Answer:

I hope yo got the answer

Solve the linear equation by
combining like terms:
32 – 8 + 3x = 7x

Answers

Answer:

x=6

Step-by-step explanation:

I hope this helps you

Answer:

32-8 + 3x = 7x

24 + 3x = 7x

Then subtract the 3x and move it to the other side

24 = 4x

Then divide both side by 4

24/4 = 4x/4

The answer is

x = 6

Which of the following inequalities is not true?

|-9| ≠ |9|
-2 2 < 3
-7 ≤ -5
|-1| ≥ 0

Answers

Answer:

[tex] | - 9| = |9| [/tex]

This is because modulus number will be always positive

Hope this is correct and helpful

HAVE A GOOD DAY!

Where x=-7 what does y=?

Answers

Answer:The "+7" indicates that there will be a y-intercept at 7. Therefore, you can plot a point at (0,7).

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