Answer:
The quotient is 2x² - 5x + 5, while the remainder is 0
Step-by-step explanation:
Given polynomial function;
4x³-12x²+15x-5 and a factor of 2x - 1
The quotient and remainder of the polynomial is calculated using the long division method;
2x² - 5x + 5
------------------------
2x - 1 √ 4x³-12x²+15x-5
- (4x³ - 2x²)
----------------------------
-10x² + 15x - 5
- ( -10x² + 5x)
--------------------------------
10x - 5
- (10x - 5)
-----------------------------------------
0
Therefore, the quotient is 2x² - 5x + 5, while the remainder is 0.
Is this a function?
A) yes
B) No
Answer:
Yes
Step-by-step explanation:
This is a function because every input only has one output.
Determine the value of y for y=5x
Answer:
Step-by-step explanation:
Here the function is y = 5x.
If x = -2, y = 5(-2) = -10;
If x = 0, y = 5(0) = 0; and
If x = 9, y = 5(9) = 45
And so on
solve the system of equations 2x+4y=6 and 5y-2x=10
Answer:
1. x=−2y+3
2. [tex]\frac{5}{2} y - 5[/tex]
Step-by-step explanation:
Step-by-step explanation:
2x+4y = 6
-2x +5y = 10
9y = 16
y = 16/9
2x+ 4(16/9) = 6
2x +64/9 = 54/9
2x = -10/9
x = -5/9
wow those are ugly numbers
Kaylee read 19 1/2 pages in 3/4 of an hour. If she continues reading at the same rate,
how many pages will she read in an hour?
Answer: The answer is 26.
Step-by-step explanation:
Simple, find the unit rate. That's 19.5 / 0.75 = 26.
or using fractions:
19 2/4 divided by 3/4
78/4 divided by 3/4
78 / 3 = 26
4 / 4 = 1
Unit rate = 26books/1 hour
GIVING BRAINLIEST AND THE REST OF MY POINTS!!!!PLS HELP:(
Which images below are scalene triangles?
A) Triangles A and D
B) Triangles B and D
C) Triangles A and C
D) Triangles C and D
Answer:
B
Step-by-step explanation:
Simplify (4a^m+3)^3*(1/16a^1-m)^2
The simplified answer is 27m^2
The simplification of the given expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.
To simplify the expression, let's start by expanding each term and then combining like terms:
Expand the first term (4[tex]a^m[/tex] + 3)³
(4[tex]a^m[/tex] + 3)³ = (4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex] + 3)
Using the binomial expansion formula for (a + b)³
(a + b)³ = a³ + 3a²b + 3ab² + b³
So, for (4[tex]a^m[/tex] + 3)³
(4[tex]a^m[/tex] + 3)³ = 4³ × ([tex]a^m[/tex] )³ + 3 ×4² [tex]a^m[/tex] ([tex]a^m[/tex] )²× 3 + 3 × 4× ([tex]a^m[/tex] ) × 3² + 3³
= 64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex] + 108[tex]a^m[/tex] + 27
Expand the second term (1/16[tex]a^{(1-m)[/tex])²
(1/16[tex]a^{(1-m)[/tex])² = (1/16[tex]a^{(1-m)[/tex]) (1/16[tex]a^{(1-m)[/tex])
Simplify the square of a fraction by squaring the numerator and denominator separately:
(1/16[tex]a^{(1-m)[/tex])² = (1²)/(16²) × ([tex]a^{(1-m)[/tex])²
= 1/(256) × [tex]a^{(2(1-m))[/tex]
=[tex]a^{(2-2m)[/tex]/256
Now, let's multiply both simplified terms:
(4[tex]a^m[/tex] + 3)³ ×(1/16[tex]a^{(1-m)[/tex])²
= (64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex]+ 108[tex]a^m[/tex]+ 27) ([tex]a^{(2-2m)[/tex]/256)
Now, combine the terms with similar exponents:
= (64[tex]a^{(3m)[/tex] [tex]a^{(2-2m)[/tex] + 144[tex]a^{(2m)[/tex] [tex]a^{(2-2m)[/tex]+ 108[tex]a^m[/tex] [tex]a^{(2-2m)[/tex] + 27 × [tex]a^{(2-2m)[/tex])/256
Using the property [tex]a^m \times a^n = a^{(m+n):[/tex]
= (64[tex]a^{(3m + 2 - 2m)[/tex]+ 144[tex]a^{(2m + 2 - 2m)[/tex] + 108[tex]a^{(m + 2 - 2m)[/tex]+ 27[tex]a^{(2-2m)[/tex])/256
Simplify the exponents,
= (64a² + 144a² + 108a² + 27[tex]a^{(2-2m)[/tex])/256
Now, combine the like terms:
= (336a² + 27[tex]a^{(2-2m)[/tex])/256
Therefore, the simplified expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.
Learn more about simplification here
brainly.com/question/2804192
#SPJ2
y-30≥32 lol i need help again
Answer:
y ≥ 62
Step-by-step explanation:
Give Me Brainllest plz T - T
Watching your neighbors toddlers for $15/1.5 hours or babysitting your cousins for the day for $60/8 hours. Which one pays more?
Answer:
.
Step-by-step explanation:
Answer:
Babysitting your cousins
Step-by-step explanation:
Becauss 15/1.5 is 3. And 60/8 is 7.5
Maria wants to know what time it is, but after looking at her analog clock, notices that the numbers are all missing! She notices that the minute hand is pointing straight up, and that the angle measure between the hour and minute hand is 90 degrees. If she knows that the time must be between 1:00 and 5:30, what time is it?
Answer:
3:00
Step-by-step explanation:
If the minute hand is pointing straight up, it means that the time is at an exact hour (ex. 1:00, 2:00, not 1:30, etc.).
If the angle between the hour and the minute hand is 90 degrees, then we know that the time is either 3:00 or 9:00.
However, because the time must be between 1:00 and 5:30, it must be 3:00.
I hope this helps!
Solve for DG
HELP PLEASE
Step-by-step explanation:
32/24=40/DG
Reducing the fractions to simpler fractions
4/3=40/DG
Cross multiply
4DG=40*3
4DG=120
DG =120/4
DG=30
Liam plans to start depositing $175 each month into an interest earning savings account. According to his online calculations, the balance of the savings account in 5 years will be about $12,100. How much of the final balance will come from interest earned? Group of answer choices
Answer:
10,600
Step-by-step explanation:
can you give me the brainliest pls
The final balance will come from interest earned will be $1,600.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific amount of time. The principal amount in simple interest is constant.
To find out how much of the final balance will come from the interest earned, you have to determine the total value of the deposits made and subtract this from the balance the account will have after 5 years.
The amount deposited each month: $175
Months: 12 x 5= 60
Total amount deposited: $175*60= $10,500
Interests: $12,100-$10,500= $1,600
According to this, the amount of the final balance that will come from the interest earned is $1,600.
To know more about simple interests follow
https://brainly.com/question/25793394
#SPJ6
please help me NOW, I have a MIN LEFT HURRY
Numbers are too small to see gosh dammit
1.
The distance from the Sun to Mercury is 3.598. 10^7
miles. The distance from the Sun to Neptune is
2.798. 10^9 miles. How far is Mercury from Neptune?
Write your answer in scientific notation.
Answer:
Exponente positivo
Potencias de 10
Escribe estos números en forma ordinaria:
7'3·103; 4'724·108; 8'24·105
Notación científica. Orden de magnitud. Comparaciones
Expresa en notación científica las siguientes cantidades e indica su orden de magnitud.
235'74; 1985; 12 billones; 320 millones; 37.800.000.000; 220.000.
La desaparición de los dinosaurios ocurrió hace 65 millones de años, aproximadamente 108 años. Por ello hemos situado la D debajo de la potencia correspondiente:
El nacimiento del Universo (U) ocurrió hace 15 mil millones de años . Sitúa U en la casilla que le corresponde. Haz lo mismo con:
El califato cordobés de Abderramán (A): aproximadamente 800 años.
El control, del fuego (F): hace 600.000 años.
Aparición del hombre de Cromagnon (C): 30.000 años.
El nacimiento de la Tierra: (T): 4.5 mil millones de años.
El primer paso del hombre en la Luna (L): hace una veintena de años.
El primer paso del hombre en la Tierra (H): tres millones de años
La invención de la imprenta por Gutenberg (G): hace 550 años.
La nebulosa "Triangulum" está a 1'4·1022 metros de la Tierra. Escribe esta distancia en forma ordinaria.
Step-by-step explanation:
Identify the area of a regular octagon with side length 16 cm rounded to the nearest tenth
$10,000 is what percent of $10,000?
Ples help me
Answer:
100%
Step-by-step explanation:
Answer:
100 percent
Step-by-step explanation:
This is very easy. Try learning it yourself as when you'll grow the stuff you are learning now will be essential to your learning. Your future learning depends on it.
what is the circumference of a circle with a radius of 14 centimeters
Answer:
c= πD
Step-by-step explanation:
22/7×28 =88
=88cm,
Circumference of circle = 2πr
= 2 × 22/7 × 14
= 2 × 22 × 2
= 44 × 2
= 88 cm²
Easyy!
which fractions are equivalent to 2/6. (select ALL that apply).
4/8
1/4
5/9
1/3
4/12
Answer:
1/3 and 4/12
Step-by-step explanation:
The lateral area of a cube is 36 Square inches. How long is each edge?
Answer:
D
Step-by-step explanation:
can someone help me pls i put rhe question as a picture i would help alot
Answer:
D. 24x + 16y
Step-by-step explanation:
Hope This Helps! : )
Find the volume of the figure
Answer:
121.36
Step-by-step explanation:
L times W times H
Step-by-step explanation:
8 x 3.7 x 4.1 = 121.36
length x width x height = volume
Help me plzzz I need help
Answer:
It shows the distance travelled, in miles, by the e towboat after 5•15 hours
Ronique recorded the number of games that the school softball team won each year for the past 7 years: 31, 24, 32, 22, 34, 28, 38. Ronique's team won at least (blank)
games in 75% of the seasons that they played.
Answer:
Ronique's team won at least 24 games in 75% of the season that they played.
Step-by-step explanation:
(The box-whisker plot below will show everything, but I'll explain it in detail because I want to be more helpful)
So... we have seven data points.
2014 - 15 (Year 1): 31 wins
2015 - 16 (Year 2): 24 wins
2016 - 17 (Year 3): 32 wins
2017 - 18 (Year 4): 22 wins
2018 - 19 (Year 5): 34 wins
2019 - 20 (Year 6): 28 wins
2020 - 21 (Year 7): 38 wins
We need a box & whisker plot for this.
22 will go on the left whisker, since it's the lowest of the data points. 38 will go on the right whisker, since it's the highest.
For the two quartiles, 24 is the first quartile, so from that point to the right whisker, that's 75% of the data. The third quartile will be 34. And the midline will be at 31, since it's the median of the data points.
From that explanation, we can be sure that Ronique's team won at least 24 games in 75% of the seasons that they played.
Find the arc length of the semicircle. Enter an exact answer in terms of . units
Answer:
The answer is 37.699111848 units or 0 units, pick
Step-by-step explanation:
2πr (θ/360)
iPaddle charges $15 for paddleboard rentals plus $5 per hour. Write an equation in slope- intercept form to represent this situation where y represents the total cost, for x hours.
Answer:
Y=5/1x+15
Step-by-step explanation:
I know this is old, but no one answered it so I thought I would
Find the total surface.
A)75.4
B)100.5
C)88
D)44
The Answer would be C) 88
40 POINTS!!!! WILL GIVE YOU BRAINLIEST!!!! :)
Felix drew two box-and-whisker plots to compare the same sets of data:
In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.
Answer:
In the first data set, there is little variation in the prices. Half of the books cost between $3 and $7, with one-fourth of the books priced between $5.40 and $7. This is easy to read from the graph, since the medians divide the data into 4 equal groups.
In the second data set, there is a large range of prices. There is no simple description of the data. Looking at the graph, there are 3 "halves" of the data: $7 to $66 or $59, $26.80 to $81.40 or $54.50, and $66 to $99 or $33. This range of values does not give much information about general book prices.
Step-by-step explanation:
used this on my test and it was 100% correct.
How much larger is 6 x 10^5 compared to
2 x 10^3?Explain how you know.
Answer:
6 x 10^5 is 300 times greater than 2 x 10^3.
Step-by-step explanation:
Use division to compare.
(6 × 10^5)/(2 × 10^3) = 6/2 × 10^5/10^3 = 3 × 10^2 = 3 × 100 = 300
6 x 10^5 is 300 times greater than 2 x 10^3.
There is 6 × 10⁵ is 300 times greater than 2 × 10³.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The exponents are given in the question, as follows:
6 × 10⁵ and 2 × 10³
The exponents in scientific notation as a shorthand for the number of zeroes in the number.
We use division to compare.
( 6 × 10⁵)/(2 × 10³)
= 6/2 × 10⁵/10³
= 3 × 10²
= 3 × 100
= 300
This means 6 × 10⁵ is 300 times greater than 2 × 10³
Learn more about the Scientific Notation here :
https://brainly.com/question/20533245
#SPJ2
PLEASE HELP ASAPPPP !! 9th GRADE MATH
Answer: 2 and i dont know the other one yet
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Please please help!!! Giving brainiest
Answer:
8.8 ounces
Step-by-step explanation:
3.96 ÷ 0.45 = 8.8
Can someone help me find what x equals , step by step ASAP!!
Answer:
x=8
Step-by-step explanation:
6x+42=90
6x=48
x=8
