Answer:
[tex]\boxed{\textsf{ The quotient is $\sf x^2-3x-7$ and the remainder is (-10).}}[/tex]
Step-by-step explanation:
Here we will be using long division method to find the quotient . Here we need to divide (x³+2x²-22x-45) and (x+5) . So lets divide .
x+5) x³+2x²-22x-45 ( x² -3x -7
x³ + 5x²
- -
______________
- 3x²-22x -45
-3x² -15x
+ +
______________
-7x -45
-7x -35
______________
-10
Quotient = x² -3x -7
Remainder = (-10)
★Hence the quotient is x² -3x -7 and the remainder is (-10) .how to you solve 2/5g = 3/5
Answer: = 3 /2
Step-by-step explanation:
Given an absolute value function f(x)=|x|, what is the effect of adding a constant k to the function?
Answer: the graph of the resulting function, |x| + k, is the graph of f (x) shifted k units up
Step-by-step explanation:
just took the test
Help plsssssss i beg
Convert the expression (√5)(∛5) to exponential form. Show your work
Answer:
[tex] {5}^{ \frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]
Kayla is thinking of a 3-digit number.
* It is divisible by 18.
* It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848).
* It is one less than a multiple of 5.
What is Kayla’s number?
Answer:
kaylas thinking of the number 414
Step-by-step explanation:
414 is divisable by 18 (414 divided by 23)
414 is palindrome
414 is one less than a multiple of 5 (415)
Answer:
414
Step-by-step explanation:
The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.
Help me ...................
what are scale drawings
Answer:
A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
Step-by-step explanation:
Answer:
Answer down below!
Step-by-step explanation:
A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.
Express as a trinomial.
(2x+4)(x-1)
Answer:
2x^2+6x+4
Step-by-step explanation:
2x^2+2x+4x+4
2x^2+6x+4
Two cakes are shared equally among seven friends. What fraction of a cake
will each friend get?
Answer:
Step-by-step explanation:
Hii
Calculate the slope look at pic. Help plz!
Activity
Valerie is remodeling her home. She decides to replace the old carpet in the living room and wants to know how much carpet she needs. You can see from the diagram of the living room that this is not a simple shape. Complete the steps below to find the area of the room, which is the amount of carpet Valerie needs for her project.
Part A
Help Valerie decompose the shape into the fewest simple shapes. Which shapes can you divide the figure into? How many of each shape do you get?
Part B
In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?
Part C
On a separate piece of paper, draw the different ways you can divide the given shape into simpler shapes. Describe each result.
Part D
What are the dimensions of the simple shapes you obtained in part C? List dimensions for all your decompositions (sets of shapes).
Part E
Using the dimensions from part D, find the area of each simple shape. Do this for all your decompositions (sets of shapes).
Part F
Add the areas of the simple shapes you found in part E to find the area of the composite shape. Do this separately for both decompositions. What do you notice about the two answers?
Part G
What is the amount of carpet Valerie needs for her living room?
Answer:
It can be decomposed into the following simplest shapes:
Two Rectangles and one Triangle.
The area is 242 ft2
Step-by-step explanation:
ten people are attending Josiah's birthday party want to buy enough punch so that each person can have 1/4 of gallon of punch How much punch does Josiah need in order to serve himself and his ten guests
Find the difference
(4y+3)-(y-2)
need it quick
Answer: 3y+5
Step-by-step explanation: 4y+3−(y−2)
4y+3+−1(y−2)
4y+3+−1y+(−1)(−2)
4y+3+−y+2
(4y+−y)+(3+2)
3y+5
One number is 3 times as large as another. Their sum is 28. Find the numbers
Answer
7
Step-by-step explanation:
Please help I will give Brainliest
(6t - 4.5) * (4.5t + 8)
Can someone help?
Answer:
Step-by-step explanation: Ok so the t(s) = 1 Ok?.... 4.5+8 = 12.5 you will need to keep that in mind ok?.... 6 - 4.5 = 1.5.
...So 12.5 x 1.5 = 18.75
Here is your Answer: 18.75
A person who filed bankruptcy in the past is able to get a 30-year mortgage loan at a rate that is 6% higher than what they could have received if they had not filed. The interest rate this person pays on a $150,000 loan is 11%, compounded monthly. Assume the person could have received the lower interest rate on the loan and saved all of the difference in the payments for the first 10 years of the loan. If this person invested this total amount in an account paying simple interest at the rate of 2.5%, how much money would have accumulated in interest by the time the mortgage is paid off? a. $37,395.18 b. $74,790.37 c. $623.25 d. $3,739.52
Answer:
A. $37,395
Step-by-step explanation:
correct on edge! hope it helps :)
The savings from the difference between the 30–year loan at 11%, which
is 6% gives an interest when the mortgage is paid of approximately;
a. $37,395.18
How can the amount interest accumulated be calculated?
The amount paid is given as follows;
[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
Which gives;
[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]
Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8
At the lower interest rate the person could have received (11 - 6 = 5)%, we have;
[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]
Payment in 10 years = $805.23 × 120 ≈ $92,227.6
Savings = $171,418.8 - $96,627.6 = $74,791.2
The time duration the savings is invested in the account = 30 years - 10 years = 20 years
Which gives;
Simple interest after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6
Therefore;
The option that best gives the amount of money that would have accumulated in interest is the option a.
a. $37,395.18
Learn more about compound and simple interest here:
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what is -6 × -4m × m4 ??
Answer:
21.
Step-by-step explanation:
Audrina debate Bonnie uses Niners free that her opinion 6 minutes to rebut the opposite option and 5 minutes to summarize what percent of the time did she spend summarizing
Answer
i think its like 20 percent
Step-by-step explanation:
PLEASE HELP ME
6. Frankie graphed a quadratic function with a
vertex in Quadrant I. Which of the following
could be Frankie's function?
a. f(x) = -3x2 + 24x – 4
b. f(x) = x2 – 2x + 10
c. Both a and b
d. Neither a nor b
A doctor told a patient to drink 1.6 liters of water every day. About how many liters should the patient drink in 14 days?
Answer:
22.4
Step-by-step explanation:
hope it helps
Answer:
The correct answer is 22
Step-by-step explanation:
22.4 to the nearest whole number would be 22.
Please help me pleaseeeee
Answer:
1. tan
2. standard
3. y=16.8
Step-by-step explanation:
1. Trigonometic functions are:
sinA=opposite/hypoteneuse
cosA=adjacent/hypoteneuse
tanA=opposite/adjacent.
We have the opposite side (20) and the adjacent side (y), but not the hypoteneuse, ao we have to use tan.
2.Inverse is only used when we dont know the angle measure, so we use standard.
3.tanA=opp/adj
tan50=20/y
1.19175359259=20/y
y=16.7819926235 or 16.8
**50 pts**I mark brainliest**
M<2=34 degrees. find m<4 and explain how you know.
Answer:
angle 4 = 34 degrees
Step-by-step explanation:
angle 4 is equal to angle 2 because it is an alternate interior angle of 34 degrees.
Answer:
34
Step-by-step explanation:
<1+<2=180° because these are neighbour angle
X+34=180
X=146
Then you can apply the left side
X+146=180
X=34
A student took a system of equations, multiplied the first equation by 2 and the second equation by 3, then added the results together. Based on this, she concluded that there were no solutions. Which system of equations could she have started with?
1) 2x-4y=6
3x+6y=9
2) 3x+y=12
-3x+6y=6
3) -2x+4y=4
-3x+6y=6
4) 3x+6y=9
-2x-4y=4
Answer:
system 4.
Step-by-step explanation:
3x+6y=9
multiply by 2
6x+12y=18 ....(1)
-2x+-4y=4
multiply by 3
-6x-12y=12 ...(2)
add (1) and (2)
0+0=30
which is impossible .It has no solutions.
Answer:4) 3x+6y=9-2x-4y=4
Step-by-step explanation:
I got the answer right
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST
Answer:
6+4=10
-4+4=0
Step-by-step explanation:
The correct answer is adding by 4
7. Marie can make 12 small mango pies for every 10 mangoes. How many pie
A. Marie can make 30 pies.
C. Marie can make 50 pies
B. Marie can make 40 pies.
D. Marie can make 60 pies
sorry putol po kasi eto
Answer:
D. Marie can make 60 pies.
Step-by-step explanation:
In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:
A. Marie can make 30 pies.
[tex]x = \frac{10\,mangoes}{12\,pies}\times 30\,pies[/tex]
[tex]x = 25\,mangoes[/tex]
25 mangoes are required for producing 30 pies.
B. Marie can make 40 pies.
[tex]x = \frac{10\,mangoes}{12\,pies}\times 40\,pies[/tex]
[tex]x = 33.333\,mangoes[/tex]
34 mangoes are required for producing 40 pies.
C. Marie can make 50 pies.
[tex]x = \frac{10\,mangoes}{12\,pies}\times 50\,pies[/tex]
[tex]x = 41.667\,mangoes[/tex]
42 mangoes are required for producing 50 pies.
D. Marie can make 60 pies.
[tex]x= \frac{10\,mangoes}{12\,pies}\times 60\,pies[/tex]
[tex]x = 50\,mangoes[/tex]
50 mangoes are required for producing 60 pies.
The complete statement is: Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes.
Hence, correct answer is D.
Using the equation 2 + 3/41 = 5, what does the value of I equal?
Answer:
i did't see the value I in the equation
Step-by-step explanation:
-
TE
3
The students in one classroom sold tickets to the talent show They
sold 200% of the amount of tickets that they sold last year. If they
sold 40 tickets this year, how many did they sell last year?
(Worth 20 points)
Answer:The students in one classroom sold tickets to the talent show They
sold 200% of the amount of tickets that they sold last year. If they
sold 40 tickets this year, how many did they sell last year?
Step-by-step explanation:
Will I
Answer:
n = 20
Step-by-step explanation:
%p * n = m
200% * n = 40
n = 40 / 200
n = 40 / 2
n = 20
What is 16.281 rounded to the nearest whole number?
Answer:
16
Step-by-step explanation:
The round-off to the number 16.281 will be 16.
What is rounding off the number?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
The given number is 16.281. The round-off to the number will be 16 because the decimal value is less than 5.
To know more about rounding off numbers follow
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Identify in the given expressions, terms which are not constants. Give their numerical coefficients.
(i) 5x – 3
(ii) 11 – 2y2
(iii) 2x – 1
Given:
The expression are
(i) [tex]5x-3[/tex]
(ii) [tex]11-2y^2[/tex]
(iii) [tex]2x-1[/tex]
To find:
The terms which are not constants and their numerical coefficients.
Solution:
Constants: The terms which are free from variables.
Numerical coefficient: Number multiplied with a variable.
(i) [tex]5x-3[/tex]
Constant = -3
Term which is not constant = 5x
Numerical coefficient = 5
(ii) [tex]11-2y^2[/tex]
Constant = 11
Term which is not constant = [tex]-2y^2[/tex]
Numerical coefficient = -2
(iii) [tex]2x-1[/tex]
Constant = -1
Term which is not constant = 2x
Numerical coefficient = 2
Therefore, the terms which are not constants are [tex]5x,-2y^2,2x[/tex] respectively and their numerical coefficients are 5, -2, 2 respectively.