1.
Which expression is equivalent to 5(3x + 1)(x − 2)(x – 3)?

Answers

Answer 1

Answer:

15x^3-70x^2+65x+30

Step-by-step explanation:

1) 5(3x+1)= (15x+5)

2) (15x+5)(x-2)=15x^2-25x-10

3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30


Related Questions

Edin has £300 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.

Answers

£45

300 x 0.05 = 15

15 x 3 = 45

15 POINTS HELP PLZ

Which expression is equal to f(x) - g(x)?

Answers

Answer:

B) x^3-x^2-8x-2

Step-by-step explanation:

Expand the equation of g(x) to standard form

f(x) = x^3-4x+2

g(x) = x^2-4x+4

Subtract like terms in the equation and solve for the answer.

f(x) - g(x) = x^3-x^2-4x-4x+2-4

x^3-x^2-8x-2

1. Classify the following polynomials as monomial, binomial trinomial and polynomial. 1) x2 – xy + y + 4

Answers

it's polynomial ✨✨✨✨✨✨✨

Answer: polynomial

Step-by-step explanation: I'm not that great at math tell me if this is correct.

can someone pls help i need your help

Answers

12 miles
hope this is helpful!

Answer:

12 miles

Step-by-step explanation:

You would have to divide $26.40 by $2.20 which equals 12 so she traveled 12 miles.

Assigned seating forever! Ms. Clore has 28 desks in
her classroom. She numbers the desks from 1 to 28.
On the first day of class, Ms. Clore places identical
slips of paper numbered 1 to 28 in a hat. Each of the
28 students in her statistics class draws a slip from the
hat upon entering the classroom to determine his or
her assigned seat. How many possible seating assign-
ments are there?

Answers

Using the arrangement formula, it is found that there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.

The number of possible arrangements of n elements is given by the arrangement formula, as follows:

[tex]A_n = n![/tex]

It is used when n elements are arranged in n positions.

In this problem, 28 students are arranged on 28 desks, hence [tex]n = 28[/tex], and:

[tex]A_{28} = 28! = 3.05 \times 10^{29}[/tex]

Hence, there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.

You can learn more about the arrangement formula at https://brainly.com/question/24648661

-4.67 + (5.24 –
) – (
+ 7.98) = 13.26

Answers

Answer:

6

Step-by-step explanation:

what is the answer
simplify 2(5x+3)-2(2x-3)

Answers

Answer:Use this PEMDAS to solve

Step-by-step explanation:

Parethiesis,Exponent,Multiplication,Division,Addition,and Subtraction.

ALWAYS DO P FIRST!!!!

Answer:

x+2

Step-by-step explanation

2 x 5x =10x      2 x 3=6     -2 x 2x = -4x              -2 x -3=6

10x-4x + 6+6

6x+12

simplified: x +2



10 0breros construyen un complejo 336 días, ¿cuantos días les tomaría hacer el mismo complejo a 15 obreros?

Answers

Usando proporciones, se encuentra que 15 obreros hacerían el mismo complejo en 24 días.

Esta pregunta se resuelve por proporciones, usando una regla de tres. Cuanto mayor lo número de obreros, menor el tiempo, o sea, las medidas son inversamente proporcionales, lo que implica que la multiplicación es en línea.10 obreros toman 336 dias. ¿Cual el tiempo necessário para 15 obreros?

La regla de três es:

10 obreros - 336 días

15 obreros - x días

Aplicando multiplicación en línea:

[tex]15x = 336(10)[/tex]

[tex]x = \frac{336(10)}{15}[/tex]

[tex]x = 24[/tex]

15 obreros hacerían el mismo complejo en 24 días.

Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636

An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?

Answers

Percent of speed the machine increase is 20%

Given that;`

Number of ice cream produced before = 45

Number of ice cream produced after = 54

Find:

Percent of speed the machine increase

Computation:

Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before

Percent of speed the machine increase = [(54 - 45) / 45]100

Percent of speed the machine increase = [9 / 45]100

Percent of speed the machine increase = 20%

Learn more:

https://brainly.com/question/15013012?referrer=searchResults

Percent of speed the machine increase is 20%

у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2

Answers

What grade are u in?

((7,4),(6,3),(5,2)
Function?
Domain:
Range:

Answers

Answer:

see explanation

Step-by-step explanation:

For a function each value of x in the domain must map to exactly one unique value of y in the range.

This is the case here so it is a function.

The domain is the x- coordinates of the points

domain is { 5, 6, 7 }

The range is the y- coordinates of the points

range is { 2, 3, 4 }

1
D
Question 1
Adding the complex numbers 7 - 6i and —3 + 8i is equivalent to the operation
(7 – 6) + (-3+8) i.

Answers

Yes, this identity is true. Those two operations are equivalent.

anybody help please hm​

Answers

The answer is b, 20^247.

If tanx = 0.75, what is the value of cosx + sinx ?

Answers

cosine (x) = 4 over 5
cos
(
x
)
=
4
5
Explanation:
First you must apply sohcahtoa
it means
sine = opposite side over hypotenuse
sine = opposite/hypotenuse
cosine = adjacent side over hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite side over adjacent side
tangent = opposite/adjacent
then
solve the unknown by applying the Right Triangle Theorem.
draw a right triangle.
label the parts where
a
is the opposite side
b
is the adjacent side
c is the hypotenuse
Solve the unknown. The hypotenuse using
a
2
+
b
2
=
c
2

since the given
tan
x
=
3
4

it means
tan = opposite/adjacent
a
= opposite side =
3

b
= adjacent side =
4

c
= hypotenuse = ??
a
2
+
b
2
=
c
2

substitute the value
(
3
)
2
+
(
4
)
2
=
c
2

9
+
16
=
c
2

25
=
c
2

get the square root of
25

it is equal to
5

therefore
c
=
5

c
= hypotenuse =
5

cos
= adjacent/hypotenuse
cos
(
x
)
=
4
over
5

cos
(
x
)
=
4
5

Answer:

theta is eq to 36.86 value is. 0.5998+0.8=1.399

To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried
cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of
sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail mix
with 20 oz of nuts? Show your work.

Answers

The number of servings that can be obtained from the 20 oz of nuts is given by the number of 4s and 5s in 20.

Sebastian can make more cherry trail mix

Reasons:

The given recipe are;

1 cherry trail mix = 4 oz. of nuts + 3 oz. of dried cherries.

1 sunflower trail mix = 5 oz. of nuts + 2 oz. of sunflower seeds

The number of cherry trail mix Sebastian can make with 20 oz. of nuts is therefore;

[tex]\displaystyle Number \ of \ cherry \ trail \ mix = \mathbf{ \frac{20 \ oz \ of \, nuts}{4 \ oz \, of \, nuts \, per \, cherry \ trail \, mix }} = 5 \ cherry \ trail \ mix[/tex]

The number of cherry trail mix that can be made with 20 oz. of nuts = 5 cherry trail mixes

[tex]\displaystyle Number \ of \ sunflower \ trail \ mix =\mathbf{ \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix }}[/tex]

[tex]\displaystyle \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix } = \mathbf{4 \ sunflower \ trail \ mix}[/tex]

The number of sunflower trail mix that can be made with 20 oz. of nuts = 4 sunflower trail mix

Therefore;

Sebastian can make more cherry trail mix than sunflower trail mix with 20 oz. of nuts.

Learn more about division of numbers in arithmetic here:

https://brainly.com/question/917110

a total materials variance is analyzed in terms of

Answers

Entry field with correct answer
price and quantity variances.
quantity and quality variances.
buy and sell variances.
tight and loose variances.
price and quantity variances.

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. Y = 8x y = -0. 01 x2 4x 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?.

Answers

The solution of the equation can be determined by substituting the points in the equation and solving it.

The solution of the given equation would be interpreted by solving the equation for the value of x and y.

The solution of the equation is (400, 3200) and it can be determined by using substitution method.

Given that,

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

The solution of the system is (400, 3,200).

We have to determine,

How would you interpret this solution?

According to the question,

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

On solving both the equation,

Substitute y = 8x in the equation 2,

[tex]\rm y = -0.01 x^2 + 4x + 3200\\\\ 8x = -0.01 x^2 + 4x + 3200\\\\0.01x^2+8x-4x-3200=0\\\\0.01x (x+800) -4(x+800)=0\\\\(x+800)\ (0.01x-4)\\\\When \ \ x +800=0, \ x = -800\\\\And\ \ 0.01x-4 = 0, \ \ x = \dfrac{4}{0.01} \ \ x =400[/tex]

The value of x is not -800 because the cost can not be negative.

Then the value of x is 400.

Substitute the value of x in equation 1,

[tex]\rm y = 8x\\\\y = 8(400)\\\\y = 3200[/tex]

Hence, The solution of the equation is (400, 3200).

For more details about System of Equation refer to the link given below.

https://brainly.com/question/281027

Please help! I need answers

Answers

Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

Represent the time the Hill family and the Moore family use the sprinkler with H and M.

So, the total time is:

[tex]H + M = 60[/tex]

And the rate is:

[tex]25H + 20M = 1325[/tex]

Make H the subject in [tex]H + M = 60[/tex]

[tex]H= 60 - M[/tex]

Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]

[tex]25(60 - M) + 20M = 1325[/tex]

Open brackets

[tex]1500 - 25M + 20M = 1325[/tex]

Collect like terms

[tex]- 25M + 20M = 1325 - 1500[/tex]

[tex]- 5M = -175[/tex]

Divide both sides by -5

[tex]M = 35[/tex]

Recall that:

[tex]H= 60 - M[/tex]

So, we have:

[tex]H = 60 - 35[/tex]

[tex]H = 25[/tex]

Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

Read more about system of equations at:

https://brainly.com/question/14323743

15)
Solve for X
X\42=6
A)
7
B)
252
C)
260
D)
332

Answers

Answer:

b)252 is the answer

Step-by-step explanation:

x\42=6

x=6*42

x=252

Some nuts cost $22/kg. How much would 150 g cost?

Answers

Answer:

$3.30

Step-by-step explanation:

1 kg = 1000 g

therefore, 150 g = 0.15 kg

multiply the cost by the amount

22 x 0.15 = 3.3, or $3.30

Can someone please help?

Answers

Answer:

Well a midpoint makes the cutter segment or Line in exactly in half. So the two lines cutted are equal. In this case t is the midpoint. PT and TQ are equal. So you have two expressions, make then equal to each other since they are congruent.

6x+4=8x-8

12=2x

x=6

Now PT is 6x+4

So we subsitute x for 6 since x=6

6*6+4

40

PT is 40

How many real solutions are there for the quadratic equation below?

0=2x^2-3x+7

A) 0

B) 1

C) 2

D) infinite

Answers

Answer:

2 solutions

Step-by-step explanation:

2 solutions

3/4 - i[tex]\sqrt{47}[/tex]/4

3/4 + i[tex]\sqrt{47}[/tex]/4

I giv Brainliest


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

c

Step-by-step explanation:

Answer:

The best answer is option C.

Step-by-step explanation:

Option A is a linear function, Option D is translating the non-linear function 4 units up but nowhere right or left, and I don't know about Option B...

Write 2^100 as a power with the following base of 32.

Answers

Answer:

your answer is 30

Step-by-step explanation:

I have completed the test


Where is 0.5 on the graph? I have to do ( 0.5, 4)

Answers

Answer:

It would be between the 0 and the 1 on the horizontal line

0.5 is where the blue dot is, then for 0.5 , 4 just go up 4 from there

A 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees. What was the temperature at 6pm

Answers

Answer:

-9 degrees

Step-by-step explanation:

-14 + 8 = -6

-6 + 2 = -4

-4 - 5 = -9

The temperature at 6pm dropped down to .

What is a mathematical function, equation and expression?               function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that at 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees

We can write -

T{6 AM} = - 14°

T{12 PM} = 8°

T{3 PM} = (8 + 2)° = 10°

T{6 PM} = 10° - 5° =

Therefore, the temperature at 6pm dropped down to .

To solve more questions on functions, expressions and polynomials, visit the link below -

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(BRAINLIEST TO THE PERSON WHO HELPS ME WITH THESE THREE QUESTIONS)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable.

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.

Answers

Answer:

Cheryl's posts + 7 posts =Kevin Posts

K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin

Operation=subtraction or addition because it could be K-C=7 or C+7+K

Cheryl wrote K-7=C posts

Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

Which expression has a sum of 1 2/21

A. 3/7 + 2/3
B. 4/7 + 1/3
C. 5/7 + 2/3
D. 6/7 + 1/3

Answers

Answer:

A. is the answer

Step-by-step explanation:

the LCM of 7 and 3 is 21.

When added it would be 9+14 =23

23/21= 1 2/21

All the numbers round to 7 except


6.61

7.89

6.58

7.37

Answers

7.89 rounds off to 8
7.89 because it’s closer to 8.00, not 7.00

4/9 + 9/18. Please help me as soon as possible, it's due today.

Answers

Answer:

[tex]\frac{17}{18}[/tex]

Step-by-step explanation:

To solve 4/9 + 9/18 just find the common denominator which is 18.

to get 4/9 to get the denominator of 18 you multiply the denominator by 2:

9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.

Now, add the numerator and keep the denominator the same. 8 + 9 = 17.

8/18 + 9/18 = 17/18

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