Mathematics High School

Take 2y 2 - 3y - 5 from y ^3 - 6y ^2 + 5y. Select the correct answer.

y^3 - 2y^2 + 3y + 5
y^3 - 4y^2 + 2y - 5
y^3 - 4y^2 + 2y + 5
y^3 - 8y^2 + 8y + 5

Answers

Answer 1
We will subtract 2y^2-3y-5 from y^3-6y^2+5y

This is written as follows:
y^3-6y^2+5y - (2y^2-3y-5)   
note that the subtraction means that some signs would change as follows:
y^3-6y^2+5y - 2y^2+3y+5
Now we will subtract the coefficients of like terms as follows:
y^3 - y^2(6+2) + y(5+3) + 5
= y^3 - 8y^2 + 8y + 5 
Answer 2

Answer:

y^3-2y^2+3y+5

Step-by-step planation:

Related Questions

Find the point where the line crosses the x-axis. y = –5x + 5

Answers

Every point on the x-axis has y-coordinate 0.
Let y = 0, and solve for x.

y = -5x + 5

0 = -5x + 5

5x = 5

x = 1

The line crosses the x-axis at x = 1.

Which function represents the graph of f(x)=|2x| after it is translated 5 units to the left?

Answers

Answer:

Here are the options to the questions:  

a.) g(x)=|2(x−5)|

b.) g(x)=|2(x+5)|

c.) g(x)=|2x+5|

d.) g(x)=|2x−5|

The answer is b.) g(x)=|2(x+5)|

Step-by-step explanation:

The function F(x) = |2x| has the vertex at point (0,0)

The rule of translation is (x,y) -------- (x - 5, y)

The translation of the point (0,0)is equal to

(x,y) -------- (0 - 5,0)

(x,y) -------- (-5,0)

The function g(x) has the vertex at point (-5,0)

So therefore, the function g(x) is equal to g(x)=|2(x+5)|

Put the numbers in order from least to greatest.
17
, 4.12, 41
10
, 42
15
A) 17
, 4.12, 41
10
, 42
15

B) 41
10
, 17
, 4.12, 42
15

C) 41
10
, 4.12, 17
, 42
15

D) 42
15
, 4.12, 17
, 41

Answers

none of the answers are correct because it would be 4, 10, 12, 17, then 41

Drive-in movies were popular in the 1930s and 1940s. In 1933, there were 100 drive-in theater in the U.S by 1945 there were 2200. What was the percent of increase from 1933 to 1945?

Answers

2,100% increase from 1933 to 1945.
Final answer:

To find the percent of increase in the number of drive-in theaters from 1933 to 1945, subtract the initial number from the final number, divide by the initial number, and multiply by 100, resulting in a 2100% increase.

Explanation:

The question asks how to calculate the percent of increase in the number of drive-in theaters in the U.S. from 1933 to 1945. To find the percent of increase you subtract the original number from the new number divide by the original number, and then multiply by 100 to convert to a percentage.

Original number (1933) = 100 drive-in theatersNew number (1945) = 2200 drive-in theatersPercent of increase = ((2200 - 100) ÷ 100) × 100Percent of increase = ((2100) ÷ 100) × 100 = 2100%

Therefore, the percent of increase from 1933 to 1945 was 2100%.

Which of the following demonstrates the commutative property across multiplication for 2 × 10 × 7        A. 2 + 10 × 7   B. 2 × (10 × 7)   C. 10 ×7 × 2   D. (2 × 10) × 7

Answers

The correct answer is C. 10×7×2

Answer:

Option C is correct

[tex]10 \times 7 \times 2[/tex]

Step-by-step explanation:

Commutative property of multiplication states that you can multiply number in any order.

For example:

[tex]2 \times 3  = 3 \times 2[/tex]

[tex]3 \times 4 \times 5 = 4 \times 5 \times 2[/tex]

Given that:

2 × 10 × 7

By definition Commutative property of multiplication,

⇒[tex]10 \times 7 \times 2[/tex]

Therefore, [tex]10 \times 7 \times 2[/tex] demonstrates the commutative property across multiplication for 2 × 10 × 7

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

Answers

This question has already been solved by another person. I'll list their answer here. 

Perimeter is the sum of all sides of a polygon. For this case, the perimeter is expressed as: P=a+b+c. It has been said that the longest side is twice that of the shortest side. Let's assume that a is the longest side and b is the shortest side. So, the equation for the shortest side is, 

6.2 = 2c
c = 3.1 

14.5 = 6.2 + 3.1 + b
14.5 = 9.3 + b

I take no credit for this answer. It was solved by Taskmasters. 

Which value is the best estimate of 26% of 259?

A: 50
B: 52
C: 65
D: 88

Answers

C
PROOF
just multiply
259×0.26=67.34
26% of 259 is 67.34 so you would pick C. 65 since it's the closest

What is equal to 3log2 + log4

Answers

Log Rule #1:  log(x*y) = log(x)+log(y)
Log Rule #2:  log(x^y) = y*log(x)

Using those log rules, we can say...

3*log(2) + log(4) = log(2^3) + log(4)  <-- use log rule #2
3*log(2) + log(4) = log(8) + log(4)     <-- simplify 2^3 to get 8
3*log(2) + log(4) = log(8*4)               <-- use log rule #1
3*log(2) + log(4) = log(32)                <-- simplify 8*4 to get 32

So the expression simplifies to log(32)

What is the value of x? Enter your answer in the box.

Answers

The value of x from the equilateral triangle is x = 12 and the side is 38

What is an Equilateral Triangle?

An equilateral triangle is a triangle in which all three sides have the same length.

Let the triangle be ΔABC , and

∠A = ∠B = ∠C = 60° and AB = BC = CA

Given data ,

Let the triangle be represented as ABC

Now , the triangle ABC is an equilateral triangle with

∠A = ∠B = ∠C = 60°

The measure of side AB = 4x - 10

The measure of side BC = 3x + 2

The measure of side AC = 5x - 22

And , the sides of the triangle will also be the same

So ,

Side AB = Side BC = Side CA

Substitute the values in the equation , we get

4x - 10 = 3x + 2   be equation (1)

On simplifying the equation , we get

Adding 10 on both sides of the equation , we get

4x = 3x + 12

Subtracting 3x on both sides of the equation , we get

x = 12

And ,

5x - 22 = 3x + 2

Adding 22 on both sides of the equation , we get

5x = 3x + 24

Subtracting 3x on both sides of the equation , we get

2x = 24

Divide by 2 on both sides of the equation , we get

x = 12

Hence , the value of x is 12

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Madison wants to make cookies for her little sisters birthday party. She is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is 13 inche long, how many cookies can she make

Answers

If the roll is 13 inches long and Madison is cutting the dough into 1/2 inch thick slices, then she will have 26 cookies. Cross multiply 1/2 and 13/1.

Answer:

26 cookies

Step-by-step explanation:

13 times 2

Graph this equation on this graph

Answers

Plot these points (0,5) (1,-1) (2,-3) (3,-1) (4,5) and then make the parabola from there
Well you have that y-int=5 which is a good start

Now let's solve for the vertex form.
y=2x^2-8x+5
y-5=2x^2-8x
y-5=2(x^2-4x)
y-5+8=2(x^2-4+4)
y+3=2(x-2)^2

Thus the vertex is at (2,-3)
Now that you know this, plug in values(-1,0,1,2,3,4,5) to get (15,5,-1,-3,-1,5,15) respectively

For anyone taking or has taken vlacs algebra one, I really need a paragraph describing what was in module #1 for a discussion based assessment. Please help :!

Answers

i have that class i need to know the name of all the different titles in module one. so basically everything inside it. and then i can let you know

Which property justifies this statement?

x−4=x−4

A. Substitution Property of Equality

B. Transitive Property of Equality

C. Reflexive Property of Equality

D. Symmetric Property of Equality

Answers

D. Symmetric Property of Equality 

Answer:

C. Reflexive Property of Equality

Step-by-step explanation:

[tex]x-4=x-4[/tex]

A. Substitution Property of Equality

Some value is substituted for any variables. In the given equation, the value for x is not substituted.

B. Transitive Property of Equality

If [tex]c=b+1 \ and \ b+1=4[/tex] then c=4. Given equation does not represent transitive property.

C. Reflexive Property of Equality

When both sides are equal , then it is reflexive property

[tex]x-4=x-4[/tex] represents reflexive property of equality

D. Symmetric Property of Equality

If [tex]1+2=a[/tex] then [tex]a=1+2[/tex]

Given equation does not represents symmetric property

12/25 x 5/18 !!!!!!!!!!

Answers

To multiply fractions together you times the top and bottom numbers together and simplify:
(12*5)/(25*18) = 60/450

Then to simply you find a common number, the largest number you can divide into 60 and 450 and still be left with a interger (whole number), in this case it is 30. Then you divide the top and bottom by it:
(60/30)/(450/30) = 2/15

Hope this helps! :)

Value of 12/25 x 5/18 in the simplest form is 2/15.

What is Simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given a equation 12/25 x 5/18 we need to simplify this

Using PEMDAS

12/25 * 5/ 18

=> (12 * 5)/ 25 *18

=> 2 / (5 * 3)

=> 2/15

Therefore, Value of 12/25 x 5/18 in the simplest form is 2/15.

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Identify the properties needed to prove n + n + n + 2n = 5n.

Answers

The properties needed to prove n + n + n + 2n = 5n are: Distributive Property of Multiplication, Associative Property of Addition, and Commutative Property of Addition.

What is Commutative Property of Addition?

The commutative property of addition states that when two or more numbers are added, the order in which they are added does not affect the sum. In other words, for any two numbers a and b, a + b = b + a.

The properties required to prove n + n + n + 2n = 5n are as follows:

Distributive Property of Multiplication: This property states that a(b + c) = ab + ac. In this case, we can apply the distributive property to 2n, which gives us 2n = n + n.

Associative Property of Addition: This property states that (a + b) + c = a + (b + c). We can use the associative property of addition to group the n's together and the 2n's together, which gives us (n + n + n) + (2n) = 5n.

Commutative Property of Addition: This property states that a + b = b + a. We can use the commutative property of addition to rearrange the terms in the equation, which gives us (n + n + n + 2n) = (n + n + 2n + n) = 5n.

Thus, these properties can be used.

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Final answer:

To prove n + n + n + 2n = 5n, we use the commutative and associative properties of addition to group and combine like terms, then apply the distributive property to show that the sum equals 5n.

Explanation:

To prove the equation n + n + n + 2n = 5n, we need to use properties of equality and algebraic manipulation. First, we apply the commutative property of addition, which allows us to rearrange the terms in any order without changing the sum.

This property isn't strictly necessary here, as all terms involve 'n', but it's a useful property in general for manipulating equations.

Next, we utilize the associative property of addition, which allows us to group numbers in any combination when adding. In this specific case, we group all the 'n' terms together:

(n + n + n) + 2n

Using the associative property, we can simplify the equation further by combining like terms:

3n + 2n = 5n

Lastly, we apply the distributive property, which in this case shows that multiplying the coefficient (being 1 for n in this example) by the number of times 'n' appears (3 for the first set and 2 for the second set), gives the same result as adding 'n' that many times.

Find the 5th term of a sequence represented by f(n) = 5n-2

Answers

Literally just plug in 5 for f(n) to get f(5)=5*5-2=25-2=23
Since you want to know what the 5th term, you substitute 5 for n and solve: f(n) = 5n-2 
          5n - 5
          5(5) - 5            25 - 5
 f(n) = 5

Describe how the graph of y= [tex]x^{2} [/tex] can be transformed to the graph of the given equation.

y = [tex](x-12) ^{2} [/tex] + 3

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

with that template in mind, let's see

[tex]\bf y=(x-12)^2+3\implies y=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{-12})^2\stackrel{D}{+3}[/tex]

A = 1, so no change there from the parent.

B = 1, no change there either

C = -12, now, C/B is -12/1 or -12, that means a horizontal right shift of 12

D = +3, this means, going up by 3 units.

what’s the slope for x+5=y

Answers

The slope is 1, because the slope form is:
[tex]y = mx+b[/tex]

Where the m is the slope. Here, m=1.

1.The state fair charges and entry fee plus $0.75 per ticket needed for the rides. Sally spent her money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.

(a)Sally spent a total of $31.25 on the entry fee plus 25 ride tickets. How much did Sally pay for the entry fee?
Answer:


(b)Joe has $26 he can spend at the fair on the entry fee and tickets. How many tickets can Joe buy?
Answer:


(c)Let x represent the number of ride tickets purchased and y represent the total cost of fair entry fee and ride tickets. Write an equation to calculate the total cost of the entry fee and fair admission for a person who purchases x tickets.
Answer:

Answers

Final answer:

Sally paid a $12.50 entry fee to the fair. Joe can buy 18 tickets after paying the entry fee with his $26. The equation to represent the total cost of entry fee and tickets based on the number of tickets purchased is y = 12.50 + 0.75x.

Explanation:

(a) We are told Sally spent a total of $31.25 on the entry fee plus 25 ride tickets. Since each ticket costs $0.75, we can multiply 25 tickets by $0.75 to find the total cost of the tickets alone. That is 25 tickets × $0.75 per ticket = $18.75. Subtracting this amount from the total cost of $31.25 gives us the entry fee. The entry fee is $31.25 - $18.75 = $12.50.

(b) Joe has $26 to spend on the entry fee and tickets. We found out earlier that the entry fee is $12.50. Subtracting the entry fee from the total amount Joe has, we get $26 - $12.50 = $13.50. Now, divide this by the cost of one ticket, $0.75, to determine the number of tickets he can buy: $13.50 / $0.75 = 18 tickets.

(c) Let x represent the number of ride tickets purchased and y represent the total cost of fair entry fee and ride tickets. The total cost is the sum of the fixed entry fee and the variable cost of x tickets at $0.75 each. The equation is y = 12.50 + 0.75x.

Simplify m - {n - [p + (m + n - p)]}.

0
2m
-2m + 2p

Answers

m - {n - [p + (m + n - p)]}.
= m - {n - [p + m + n - p]}
= m - {n - m - n}
= m + m
= 2m

answer
2m

Answer:To simplify the following expression, we first simplify the terms inside the parenthesis from inner going outer. The first one is [p - (m + n - p)] equal to p - m- n + p = 2p - m - n. Then, n +2p - m - n equal to 2p -m. Then, m -  2p + m equal to 2m -2p. Answer is B

Step-by-step explanation:

There are 64 pretzels in a 16 ounce bag of chocolate covered pretzels. how many ounces does each pretzel way?

Answers

Hey You!

Simply Divide:

16/64 = 0.25

So, Each Pretzel Weighs 0.25 Ounces.

Suzanne has a student loan balance of $25,904 with an average interest rate of 6.8 percent. Use the student loan repayment calculator (Links to an external site.)Links to an external site. to determine how much her monthly payment be if she selects the standard repayment option.

Answers

Since the problem is requiring us to use the loan repayment calculator and here is what the calculator gave:


Loan Balance: $25,506.00


Adjusted Loan Balance: $25,506.00


Loan Interest Rate: 6.80%


Loan Fees: 0.00%


Loan Term: 10 years


Minimum Payment: $0.00


Monthly Loan Payment: $293.52


Number of Payments: 120 months


Cumulative Payments: $35,223.07


Total Interest Paid: $9,717.07


It is projected that you will need an annual salary of a minimum $35,222.40 to be capable to have enough money to repay this loan. This approximation assumes that 10% of your gross monthly income will be keen to repaying your student loans. This resembles to a debt-to-income ratio of 0.7. If you use 15% of your gross monthly income to repay the loan, you will need an annual salary of only $23,481.60, but you may experience some financial difficulty. This corresponds to a debt-to-income ratio of 1.1.


Using the order of precedence for arithmetic operators, these two formulas will calculate the same result: =22/2*5 =22/(2*5).

Answers

It is false. These two formula will not give the same result.
22/2 x 5 = 11 x 5 = 55
22/(2 x 5) = 22 / 10 = 2.2
So, you see both have different answers.

PLS HELP!!! WILL MAKE BRAINLIEST!!!

Answers

Calculation with Distribution 
First, start by distributing the six by each fraction. (Multiply 6 by each number inside the parenthesis) 
6*1/2= 3
6*2/3= 4
6*3/4= 4 1/2
Then add all of the solutions together. 
3+4+4.5= 11 1/2

Calculation without Distribution 
Add all the fractions together then multiply by 6.
1/2+2/3+3/4= 1 11/12
1 11/12* 6= 11 1/2

Hopefully, I could help!

Lillian wants to buy a digital camera for $143.00. She baby-sits for $2.75 an hour. So far she has worked a total of 30 hours. How many more hours does she need to work to have enough to buy the camera?

Answers

Twenty-two hours I believe..

Kate has 6 more dimes than she has nickels. She has a total of $3.60. How many coins does she have in all?

Answers

she has 18 coins in total

What is the 8th term in the sequence?


an=25−3n


Enter your answer in the box.

Answers

The 8th term is of the sequence is1.
Answer:

Hence, the 8th term of the sequence is:

[tex]a_8=1[/tex]

Step-by-step explanation:

We are defined the nth term in the sequence with the help of the relation or expression as:

[tex]a_n=25-3n-------(1)[/tex]

We are asked to find the 8th term of the sequence i.e. we are asked to find the value of [tex]a_n[/tex] when n=8.

so, we will put n=8 in the given expression (1).

[tex]a_8=25-3\times 8\\\\a_8=25-24\\\\a_8=1[/tex]

Hence, the 8th term of the sequence is:

[tex]a_8=1[/tex]

HELP ME WITH MATH PLEASEEEEEEEEEEEEE

Answers

(1/2)^2x = 32

(1^2x)/(2^2x) = 32

1^2x = 1

1/2^2x = 32

32 = 2^5

2^-2x = 2^5

take out the base, (since they are the same. You are left with...)
-2x = 5

-2x = 5 is your answer in this case

hope this helps :D

Write the equation of a line given two points kuta

Answers

True. By using the two points to find the slope and then point slope form

convert 0.000064 to scientific notation

Answers

the answer is 6.4×10−5
it is 6.4 times 10 to the -5 power
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