Answer:
[tex]2x^3-3x+4+\frac{5}{3x-5}[/tex]
Step-by-step explanation:
Use polynomial; long division to divide the two polynomials. Remember to put each polynomial in standard form, or rather organize each polynomial by their degree (exponent). The polynomial with the highest exponent will go first, then each with its varying exponent will suceed.
_____[tex]\underline{2x^2\ \ -\ \ 3x\ \ +4}[/tex]
[tex]3x-5[/tex] | [tex]6x^3 - 19x^2+27x-15[/tex]
[tex]\underline{-6x^3+10x^2}[/tex]
[tex]-9x^2+27x[/tex]
[tex]\underline{+9x^2-15x}[/tex]
[tex]12x-15[/tex]
[tex]\underline{-12x+20}[/tex]
[tex]5[/tex]
Katie, Elizabeth, and Siobhan volunteer at the
hospital. In a week, Katie volunteers 3 hours
more than Elizabeth does and Siobhan
volunteers 1 hour less than Elizabeth. Over
3 weeks, the number of hours Katie
volunteers is equal to the sum of Elizabeth’s
and Siobhan’s volunteer hours in 3 weeks.
Complete the table to find out how many
hours each person volunteers each week.
Answer: 3(x+3) = 3X + 3(x-1)
3x + 9 = 3x + 3x - 3
3x + 9 = 6x - 3
0 = 6x - 3 - 3x - 9
0 = 3x - 12
12 = 3x
x=4
Step-by-step explanation:
I WILL MARK AS BRAINLIEST! Solve for X
Answer:
a) x= 42 , b) x=(16)/(9) , c) x=60
Step-by-step explanation:
a)
Divide 48 by 8 - 48 / 8 = 6Multiply 6 by 7 - 6 x 7 = 42You get x = 42b)
Flip (9)/(2)…(i.e. reciprocal)Multiply 8 and 2 - 8 x 2 = 16 You get x = (16)/(9)c)
Divide 80 by 4 - 80 / 4 = 20Multiply 20 by 3 - 20 x 3 = 60You get x = 60Find the number that makes the ratio equivalent to 1:10.
9:
Perform the indicated operation. -(20) divided by -(10)
10
-10 30
-30
Answer: 2
Step-by-step explanation:
-20 / -10
= 2
Since (-) + (-) = positive
Sorry that the last question was wrong to help me with this one.
Answer:
sure
Step-by-step explanation:
dhdhdhdhdjdrjdhdhhdj
Cheryl, Rita and four of their friends go to a movie and share a 48-ounce bag of popcorn equally and three 48 inch licorice laces equally write a ratio comparing the number of ounces of popcorn to the number of friends. then write a unit rate comparing the lenght of licorice lace for each person.
Answer:
Ratio of 48:5 and 28.8 inches of licorice per friend
Step-by-step explanation:
Ratio: Rita AND 4 of her friends go to the movie, meaning there would be 5 people. All 5 of them decide to share a 48 0unce bag of popcorn. The number problem is asking you to create a ratio comparing the number of ounces of popcorn (48) to the number of friends (5). Therefore, your ratio would be 48:5
Unit rate: Once again, there are 5 people there. Those 5 friends would like to share three 48inch long peices of licorice. The question is asking you to decide how many inches of licorice each friend gets. The first step would be to see how many inches in total we have by multiplying 48*3. That is 144 inches of licorice. The next step would be to divide the number of inches by the number of friends. That would be 144/5 and give you 28.8. The last step is to write out your unit rate. 28.8 inches of licorice per friend.
Hope that helped!
Which of the following statements is true?
a) Cube root of a perfect cube number ending with 8 ends with 8.
b) Cuberootofaperfectcubenumberendingwith6endswith2.
c) Cube root of a perfect cube number ending with three zeroes ends
with one zero.
d) Cube root of a negative number may be positive.
Answer:
b is the correct answer
Step-by-step explanation:
(ii) A perfect cube does not end with two zeros. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8.Cube roots of negative numbers are always negative.
why is Old Alabama Town important to the south
please use in your own words
I will give brainliest !
Find the number that makes the ratio equivalent to 35:42
16
Answer:
5:6
Step-by-step explanation:
35:42
42/ 6 = 7
35/7 = 5
Answer:
35:42
Step-by-step explanation:
Which fraction equals the ratio of rise to run between points (0, 8) and (-4, 3)?
Answer:
y = 5/4x + 8
Explain Your Answer
What is N=0.8888… as a fraction? Pls come through with this and show the steps-
Answer:
8/9
Step-by-step explanation:
x = 0.8888....
10x = 8.88888
10x - x
8.888888.. - 0.88888....
the repeating decimals cancel out
9x = 8
x = 8/9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer both please asap
There are five ways to colour the centre square.
Suppose we colour the left hand side. Since the colours of the strip are symmetrical, the number to colour the right hand side is 1.
For the left part where there are 14 squares, let's consider the most adjacent square to the centre. There are four ways to colour that square since it cannot have the same colour as the centre square.
The same goes with the other squares remaining.
So, the answer is 5×4^14.
Answer: so I think like count each square up to 5 and u will have 4 left just try make it even ig ✌️
Step-by-step explanation:
Jeremy wants to make cookies. He makes some cookies, then eats 5 of them. He splits
the remaining amount into 3 equal portions and decides to give one portion to his mom
and one to his dad, and keep the last one to himself. He then makes 10 more cookies for
himself, before counting his cookies to find he has 17. How many cookies did Jeremy
make at the beginning?
Answer:
The answer is 36 cookies.
Step-by-step explanation:
The mayor knows the area needed for a flower garden in the park. She wants the base to be a certain length. How can she determine the necessary height to get the correct area of the flower garden? Explain.
Answer:
Answer:The formula for the area of a parallelogram is A = bh, and the formula for area of a triangle is A = 1/2bh. Since a triangle is half of the area of a parallelogram with the same base and height, the only difference in the formula is 1/2.
Step-by-step explanation:
Maria would determine the height by dividing the area of the garden by the base
From the question, she has the area and the base.
Also, the garden has the shape of a parallelogram
The area of a parallelogram is the product of the base and the height.
So, when the area is divided by the base, she gets the height
Read more about parallelograms at:
https://brainly.com/question/3050890
Subtract -1 3/5 ( -2 5/8 ) enter your answer as a simplified mixed number by filling in the boxes
Answer:
The answer will be:
7 2/3
Answer:
The Oringal Answer is 65/8 But In a Simplified Mixed Number the Answer is 8 1/8
Step-by-step explanation:
We need to get rid of parentheses in this term.
All the negative factors will change sign.
In our example, we have only one negative factor.
The sign of the term will change, since there is an odd number of negative factors.
We can reduce this fraction by dividing both numerator and denominator by a common numeric factors.
Can someone please help
Answer: 327 1/3
Step-by-step explanation:
5(x+)+11=25-3x add workk
Answer: calculdora
5 (x +) + 11 = 25-3x adicionar trabalho
Step-by-step explana
last question of this assignment..... please don't answer unless you know the correct answer....
Answer:
C
Step-by-step explanation:
Its the best possible answer
Answer:
C
Step-by-step explanation:
The answer is C. All you need to do is check each graph and see if (0,45) (1,70) (2,95) (3,120) are plotted on the graph correctly. And C is correct because each point is plotted on there correctly.
I WILL MARK BRAINLIEST! Solve for X and Y
See the images. I hope it will help you.
1. Next door neighbors attend the same school but take different routes to go between home and campus.
Student A’s mom drives a distance of 12 miles and takes about 30 minutes.
Student B’s dad drives a distance of 11.5 miles and takes about 29.5 minutes.
Which parent is driving at a faster rate and how do you know?
2. Which of the following are equivalent to 75 mi/hr?
a. 1 mi/75 hr
b. 25 mi/20 min
c. 37.5 mi/50 min
d. 150 mi/1.5 hr
e. 225 mi/3 hr
Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies. The rest of the class gets nothing and begins to collectively cry. How many cookies were in the batch, to begin with?
Answer:
36
Step-by-step explanation:
After dylan took half of the cookies and 6 were left there were
12 before he took any
Than If Koji took a 3rd when 12 were left there were 18
Than if Paige took a 1/4 of what was left when there were 18 there were 24
This same pattern is the same for the next 2
24+6 = 30 and than 30+6 = 36
TLDR;
remove 6 per person meaning there were 36 to begin
Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies then the batch initially had 432 cookies.
Mrs. Balbas baked a batch of cookies for her math class.
1. Aaron takes 1/6 of the cookies:
If "C" represents the initial number of cookies, Aaron takes (1/6)C cookies, leaving (5/6)C cookies.
2. Matthew takes 1/5 of the remaining cookies:
Matthew takes (1/5)(5/6)C = (1/6)C cookies, leaving (5/6)C - (1/6)C = (2/3)C cookies.
3. Paige takes 1/4 of the remaining cookies:
Paige takes (1/4)(2/3)C = (1/6)C cookies, leaving (2/3)C - (1/6)C = (1/2)C cookies.
4. Koji takes 1/3 of the remaining cookies:
Koji takes (1/3)(1/2)C = (1/6)C cookies, leaving (1/2)C - (1/6)C = (1/3)C cookies.
5. Dylan takes half of the remaining cookies:
Dylan takes (1/2)(1/3)C = (1/6)C cookies, leaving (1/3)C - (1/6)C = (1/6)C cookies.
6. Gavin takes the last 6 cookies:
The remaining (1/6)C - 6 cookies are taken by Gavin.
7. The rest of the class gets nothing, leaving 0 cookies.
Now, let's add up the amounts taken by each student:
- Aaron: (1/6)C
- Matthew: (1/6)C
- Paige: (1/6)C
- Koji: (1/6)C
- Dylan: (1/6)C
- Gavin: 6 cookies
Adding all these together, we get:
(1/6)C + (1/6)C + (1/6)C + (1/6)C + (1/6)C + 6 = (5/6)C + 6
Since the remaining cookies are accounted for,
we know that (5/6)C + 6 = 0, which gives us C = 432.
Therefore, the initial batch had 432 cookies.
To know more about Initial Batch here
https://brainly.com/question/31873990
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Use complete sentences to describe why √-1 ≠ -√1
Well let's say that to compare these two numbers, we have to start with the definition first.
Definition
[tex] \displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }[/tex]
Looks like we can use any x-values right? Nope.
The value of x only applies to any positive real numbers for one reason.
As we know, any numbers time itself will result in positive. No matter the negative or positive.
Definition II
[tex] \displaystyle \large{ {a}^{2} = a \times a = |b| }[/tex]
Where b is the result from a×a. Let's see an example.
Examples
[tex] \displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}[/tex]
So basically, their counterpart or opposite still gives same value.
Then you may have a question, where does √-1 come from?
It comes from this equation:
[tex] \displaystyle \large{ {y}^{2} = - 1}[/tex]
When we solve the quadratic equation in this like form, we square both sides to get rid of the square.
[tex] \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }[/tex]
Then where does plus-minus come from? It comes from one of Absolute Value propety.
Absolute Value Property I
[tex] \displaystyle \large{ \sqrt{ {x}^{2} } = |x| }[/tex]
Solving absolute value always gives the plus-minus. Therefore...
[tex] \displaystyle \large{ y = \pm \sqrt{ - 1} }[/tex]
Then we have the square root of -1 in negative and positive. But something is not right.
As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.
Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.
Then we have another number which is -√1. This one is simple.
It is one of the solution from the equation y^2 = 1.
[tex] \displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }[/tex]
We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.
Conclusion
So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.
Answer:
Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]
Step-by-step explanation:
[tex]\sqrt{-1} \\[/tex] cannot be calculated as no two identical numbers that are multiplid could give -1. However - [tex]\sqrt{1}[/tex] means -1 x [tex]\sqrt{1}[/tex] = -1 x 1 = -1 . Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]
There is 2 questions and I would like time to answer both of them! Please and thank you!
3) Solve these problems that have more than one answer.
A) Mary read 3 times the amount of books as Carey over the summer. Carey read twice as
many books as Barry. If the students read 405 books combined, how many more books did
Mary read than Barry?
----
Answer:
225
Step-by-step explanation:
Mary = 3x (3 times Carey)
Carey = x
Barry = x/2 (Because Carey read twice as many as Barry, it means he read half the amount Carey did)
3x + x + x/2 = 405
4x + x/2 = 405
8x/2 + x/2 (treat these as fractions) = 405
9x/2 = 405
9x = 810 (cross multiply)
x = 90
Mary = 3(90) 270
Carey = 90
Barry = 90/2 45
Mary - Barry
270 - 45 = 225
Hope this helps! :)
please help giving brainlest if work shown, explained step by step
Answer:
sorry but your question photo is whole black what to give step by step sorry if it seemed rude
5(3)+t(24)= I need help wish me the best of luck
Answer:
15+24t
Step-by-step explanation:
First, I copied the expression down. Then, I used PEMDAS, so I multiplied 5x3. That left 15 + t(24). I just gave the variable to 24, making 24 t's coefficient. So, the simplified answer would be 15 + 24t.
Find the number that makes the ratio equivalent to 21:9.
84:
Answer:
36
Step-by-step explanation:
21/9=84/x
x=84(9/21)
x=36
GIVING BRAINLIEST, THANKS AND FIVE STARS!!
Express each number as a product of its prime numbers.
1. 245
2. 510
3. 250
4. 1,089
5. 4,725
6. 900
18. 27,000
Answer:
245 = 5*7*7
510 = 3*17*2*5
250 = 5*5*5*2
1089 = 3*3*11*11
4725 = 3*3*3*5*5*7
900 = 3*3*5*5*2*2
27000 = 3*3*3*5*5*5*2*2*2
There are 6 red marbles, 9 blue marbles, and 10 green marbles in a bag.
Several trials are performed with the results shown in the table. What is the experimental probability of randomly drawing a red marble?
Red Blue Green
16 30 34
32%
25%
20%
16%
I need help!
Answer:
I would guess 20%
Step-by-step explanation:
16+30+34)/4)x5 (this is how I think u would get it to be 100)
16/4)x5 = 20
20/100 = 20%
Im less certian about this one than the other but if u think its correct u can try it
What is -14 ÷ -112 = to?
Answer:0.1 just use a calculator
Step-by-step explanation: