(x⁴ + 8x³ - 45x + 30) ÷ (x + 7)
Topic is Polynomials. Find the answer using long division. Please, provide detailed steps.
Answers
Answer:
Step-by-step explanation:
I added 3 images labelled Synthetic division 1 , 2 , 3 . I hope you understand this. It's really hard to type the method in the format so I used an online calculator symbolab.
Answer:
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
Step-by-step explanation:
We need to solve the polynomials [tex](x^4 + 8x^3 - 45x + 30) \div (x + 7)[/tex]
by using long division.
The long division is done in figure attached.
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
Related Questions
what is the improper fraction of 1 1/8
Answers
There’s one whole which is 8/8 plus the one left over which makes it 9/8.
hope this helps:)
brainliest?
1 y=8x + 5
Linear or non-linear
2 y= -x + 5
3 y=0.75x - 2
4 y = -2x exponent 2 + 1
Thanks for the help with this stander mastery
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what is the answer to -4-8×+2-15
Answers
Please I really need help
Answers
Answer:
it would be 1/3
Step-by-step explanation:
Answer: 1/3 chance
Step-by-step explanation:
In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3
If QS and TƯ
are parallel lines and
m
55°, what is m
Answers
Answer:
m is your slope. In parallel lines, your slopes are always the same and the y-intercept is always different. so ur slope is also 55.
hmu if u want me to tutor you! im a very good tutor and my fee is 50 cents per hour and every homework or test question is a dollar per page :)
Step-by-step explanation:
Graph y < x and y ≥ 4x + 2
Answers
Answer:
Image is attached.
Step-by-step explanation:
Remember since the blue line is greater than, instead of being dashed like the red line, it's solid.
A florist can order roses in bunches of 12 and lilies in bunches of 8. Last month she ordered the same number of roses and lilies. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations.
Answers
Answer:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
Step-by-step explanation:
Given that:
Roses come in a bunch of 12 flowers and
Lilies come in a bunch of 8 flowers
Number of roses ordered is equal to the number of lilies ordered.
Total number of flowers ordered are lesser than 100.
To find:
The possible number of combinations such that equal number of flowers are bought.
Solution:
Here, we need to find the Least Common Multiple.
[tex]12 = \underline{2 \times 2} \times 3[/tex]
[tex]8 = \underline{2 \times 2} \times 2[/tex]
LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]
Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.
i.e.
24, 48, 72, 96 ....
Here, two types of flowers are there.
Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.
48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.
Total possible combinations:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
Someone help ill mark brainless
Answers
Answer:
b) 18
Step-by-step explanation:
Plug in 25 for x in the equation.
ie: y=.9(25)-4.5
Then solve using a calculator.
The answer should be 18
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?
Answers
Answer:
Solution in photo
Step-by-step explanation:
(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2
Answers
Answer:
B. 250 in²Step-by-step explanation:
Dimensions of the picture:
5 in and 8 inArea of the picture:
5*8 = 40 in²Scale factor = 2.5
Enlarged picture's area:
40*2.5*2.5 = 250 in² (scale factor affects both dimensions)Option B is correct
The area of the picture after it is enlarged is 250 inches².
Given that,
The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture.
Based on the above information, the calculation is as follows:
Here, the dimensions of the picture are 5 in and 8 in
Hence, the area of the picture is,
5 × 8 = 40 in²
Since, Scale factor = 2.5
So, the enlarged picture's area would be,
40 × 2.5 ×2.5
= 250 in²
To learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ6
Which company has the highest charge per attendee?
Answers
Step-by-step explanation:
As an event planner, you may have noticed the steadily increasing online event registration fees. Moreover, many people are anticipating the next economic crisis is coming soon. It may trigger you to think about looking for a new registration system that’s affordable yet still flexible and easy to use.
So we are here to help you search for the best option for your event registration. Start by going through our checklist so you can understand what to look for. Then, check the pricing comparisons of the top 7 online event registration software options out there, so you can browse them side by side to find the best one for you. Save time (and money!) and find the perfect online event registration for your next event.
2b + 9 when b = 3 I Really need help in math
Answers
Step-by-step explanation:
=2b+9
=2×3+9
=6+9
=15
hope it helps.
Can someone help me with letter D?
Answers
Answer:
1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3
Step-by-step explanation:
Answer:
1.4 times is the correct answer
1. 100= 125x^2 find x using logarithms
Answers
Answer:
Step-by-step explanation:
Answer:
x =2√55,−2√55
Decimal Form: x=0.89442719…,−0.89442719…
Step-by-step explanation:
Can somebody help me
Answers
Answer:
AB ≈ 3.14 ft
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= πd × [tex]\frac{45}{360}[/tex] ( where d is the diameter )
= 8π × [tex]\frac{1}{8}[/tex]
= π
≈ 3.14 ft ( to 2 dec. places )
HELP
Please
Please
im failing
Answers
Answer:
6.9
7.-5
8.-10
Step-by-step explanation:
Round each number to the tenths place.
0.95
0.63
0.555
Answers
0.6
0.6
Anything 4 and below gets rounded down.
Anything 5 and up gets rounded up.
0.63= 0.6
0.555= 0.6
b. Betelgeuse
d. Sirius
2. Which star has a surface temperature most similar to the surface temperature of Alpha Centauri?
a Polaris
c. Procyon B
b. Betelgeuse
d. Sirius
Help me plz
Answers
Answer:
I think A..............
The temperature of the radiating layers of a star at which its continuous spectrum is produced is known as surface temperature of star.
Polaris star has a surface temperature most similar to the surface temperature of Alpha Centauri.Betelgeuse and Proxima Centauri have the same surface temperature .Sun has highest luminosity.Blue Giants type of star has a high temperature and a high luminosity.Learn more:
https://brainly.com/question/17717852
What is the composition of the translations (T ∘ T ) (x, y) as one translation
Answers
Answer:
Step-by-step explanation:
Jeremy can row 1 3 of a mile in 1 4 of an hour. What is the unit rate?
Answers
Answer:
The unit rate that Jeremy can row is 1.33 miles per hour.
Step-by-step explanation:
Unit rate is defined as the distance over a time period. The distance that Jeremy can row is given and the time period is given.
The distance (miles)=1/3=0.3333333...
time period: 1/4
0.33333/0.25=1.333333
(1.33 is a repeating decimal)
someone please help
Answers
9514 1404 393
Answer:
{0, 1, 2, 3}
Step-by-step explanation:
The domain is the set of function input values. Here, they are labeled x values. The set of the is {0, 1, 2, 3}.
The domain is {0, 1, 2, 3}.
Solve for x in the equation x2 + 20x+100= 36.
Answers
Answer:
-16, -4
Step-by-step explanation:
x² +20x +100 -36 = 0
x² +20x +64 = 0
x² -Sx +P =0, where S= sum of roots, P=product of roots
so what 2 numbers have
S= -20 and P = 64 , ...that ul be -4, -16
or you can use factoring:
( x+16) ( x+4) = 0
x+16 = 0 , x= -16
x+4 =0, x = -4
or you can do quadratic equation, or graph ...
Answer: The Answer is:
Fraction form: x= -32/11
Decimal form: x= -2.90909....
Step-by-step explanation:
1. Add similar elements: 2x+20x=22x
22x+100=36
2. Subtract 100 from both sides:
22x+100-100=36-100
3. Simplify:
22x=-64
4. Divide both sides by 22:
22x÷22=-64÷22
5. Your Answer:
x= -32/11
What does bc equal ?
Answers
Answer:
180
Step-by-step explanation:
in the recent year, 51.9 billion cans were recycled. About how many cans per this week
Answers
ASAP can someone help and explain this to me
Answers
Answer:
[tex]d = 15.0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C (7, -4)
Point D (-8, -5)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(-8-7)^2+(-5+4)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-15)^2+(-1)^2}[/tex]Exponents: [tex]d = \sqrt{225+1}[/tex]Add: [tex]d = \sqrt{226}[/tex]Evaluate: [tex]d = 15.0333[/tex]Round: [tex]d = 15.0[/tex]Humans living in highly populated areas are more inclined to _______. a. violence b. socially isolate c. appetite loss d. all of the above
Answers
Answer:
Humans living in highly populated areas are more inclined to violence.
Answer:
A. Violence
Step-by-step explanation:
got it right, hope this helps!
Evaluate −6 − (−2). (1 point)
A.−4
B.−8
C.4
D.12
Answers
Answer:
A. -4
Step-by-step explanation:
−6 − (−2) = -6 + 2
= -4
Hope this helped :)
The radii of two right circular cylinders are in the ratio 3 : 4 and their heights are in the ratio 1 : 2. Calculate the ratio of their curved surface areas
Answers
Answer:
18.852:50.272
Step-by-step explanation:
Step one:
given
The radii of two right circular cylinders are in the ratio 3 : 4
r1= 3
r2= 4
Their heights are in the ratio 1 : 2
h1= 1
h2= 2
Step two:
The expression for the curve surface area is
CSA= 2πrh
CAS1= 2πr1h1
CAS1= 2*3.142*3*1
CAS1= 18.852
CAS2= 2πr2h2
CAS2= 2*3.142*4*2
CAS1= 50.272
The ratio of their curved surface areas
=18.852:50.272
1. Transform AABC by the formula (x, y) + (x - 2,y - 1) in order to find the
x-coordinate of A'.
Pls
Answers
Answer:
Left 2 and down 1
Step-by-step explanation:
How many albums are in Sal’s collection?
Answers
Answer:
too hard!! (jkk)
Step-by-step explanation:
188 albums.
Add all numbers together and you should get 188