Answer:
[tex]21x^4+3y-35x^2+41[/tex] must be subtracted
As you can see, we added -x+2 to this polynomial to obtain a first degree polynomial. (Though really anything with an x would do. For example, 3x, 2221x, or -224x would all work)
Step-by-step explanation:
We have the following polynomial
[tex]21x^4+3y-6x^2+34[/tex]
And need to find a polynomial to subtract from it to get
[tex]29x^2-7[/tex]
This means that if we subtract these two polynomials, we will get our desired polynomial
[tex]21x^4+3y-6x^2+34-(29x^2-7)\\\\21x^4+3y-6x^2+34-29x^2+7\\\\21x^4+3y-35x^2+41[/tex]
Just to be sure, we can then check our work by finding the difference of the first polynomial and the one that we just found
[tex]21x^4+3y-6x^2+34-(21x^4+3y-35x^2+41)\\\\21x^4+3y-6x^2+34-21x^4-3y+35x^2-41\\\\-6x^2+34+35x^2-41\\\\29x^2-7[/tex]
As we got the desired result, we know that this answer is correct.
And now for the second part of the problem. What polynomial must be added to it to obtain a first degree polynomial?
Recall that a first degree polynomial is one that has the total sum of 1. For example the polynomial x+5 is a first degree polynomial, but x+y+5 has a degree of 2.
This means that our desired polynomial needs to only have some amount of x's and constants.
We can do the same thing as the first time and simply subtract our desired result from the first polynomial. For simplicity, let us use the simple polynomial x+2
[tex]21x^4+3y-6x^2+34-(x-2)\\\\21x^4+3y-6x^2+34-x+2\\\\21x^4+3y-6x^2-x+36[/tex]
As you can see, we added -x+2 to this polynomial to obtain a first degree polynomial. (Though really anything with an x would do. For example, 3x, 2221x, or -224x would all work)
Help!! Short and sweet question any help is appreciated!
Answer: 2nd option
Step-by-step explanation: Infinity and beyond
A cylinder has a volume of 120 cubic inches and a radius
of 6 inches. What is the height of the cylinder rounded to
the nearest inch?
Answer:
1 inch
Step-by-step explanation:
1. Combine like terms: 4b + 75 = 983 2. Use the subtraction property of equality: 4b = 908 3. Use the division property of equality: b =
Answer:b=227
Step-by-step explanation:
Answer:
yes the person above me is correct it is 227
Step-by-step explanation:
A plane traveled 696 miles each way to New York City and back. The trip there was with the wind. It took 6 hours. The trip back was into the wind. The trip back took 12 hours. What is the speed of the wind?
A. Wind is 29 mph
B. Wind is 87 mph
C. Wind is 46 mph
D. Wind is 15 mph
Answer: A. Wind is 29 mph
Step-by-step explanation:
We can define:
Sp = speed of the plane
Sw = speed of the wind.
When the plane travels in the same direction that the wind flows, we can write the total speed as:
S = Sp + Sw
And when the plane travels against the flow of the wind, we can write:
S = Sp - Sw.
Now, we have the relation:
Distance = Speed*Time.
We know that:
Distance = 696 mi.
"The trip there was with the wind. It took 6 hours. "
then:
696mi = (Sp + Sw)*6h
"The trip back was into the wind. The trip back took 12 hours."
696mi = (Sp - Sw)*12h.
Then we have the system of equations:
696mi = (Sp + Sw)*6h
696mi = (Sp - Sw)*12h.
First, let's isolate one of the variables in one of the equations, i will isolate Sp in the first eq:
696mi/6h = Sp + Sw
116 mph - Sw = Sp.
Now we can replace this into the other equation:
696mi = (116mph - Sw - Sw)*12h
Let's solve this for Sw, that is the value that we want to find:
696mi/12h = (116mph - 2*Sw)
58mph - 116mph = -2*Sw
-58mph/-2 = Sw = 29mph.
The correct option is A.
what is the remainder when 31,671 divided by 68
Answer:
51
Step-by-step explanation:
Step 1:
31,671/68 = 465.75
Step 2:
31671 - 31620 = 51
Answer:
51
Hope This Helps :)
Answer:
51
Step-by-step explanation:
X + 16 at X= 4
20
21
15
Answer:
The answer would be 20
Step-by-step explanation:
16+4=20
Answer:
20
Step-by-step explanation:
How long does it take my mom to walk 5 meters if she is travelling at a speed of 1 km/h. (Hint: to change metres to kilometres divide the metres by 1000)
Answer:
0.005 hours
Step-by-step explanation:
1km per hour = 1000m per hour
5 divide 1000
0.005 hours
Simplify to 0.3 minutes (x60) or seconds (x60 again) 18 seconds
Hope this helps
I need help can someone help me please
Answer:
ok
Step-by-step explanation:
1) [tex]\frac{3}{2} \\[/tex] = 1.5 because the numerator goes int the denominator 1 time and then you ahve left over [tex]\frac{1}{2}[/tex] which is .5 .
2) [tex]\frac{5}{2}[/tex] = 2.5 because the 5 goes into the denominator 2 times and then you have left over .5 .
3) [tex]\frac{1}{4}[/tex] = .25 because a 1 is divided by 4.
4) [tex]\frac{1}{2}[/tex] = .5 ; a 1 is divided by 2
5) [tex]\frac{3}{4}[/tex] = .75 because you have .25 x 3 .
6) [tex]\frac{1}{5}[/tex] = .2 because it is 1 divided by 5
7) 0.04 + 4.1 = 4.14
8) 6.93 - 1.2 = 5.73
Is the function in the graph non linear?
Yes - if it were linear it would have be a straight line.
Answer:
B (yes, bc it does not have a constant rate of change)
Step-by-step explanation:
Write each expression using exponents x·x·x·x·y·y
Answer:
x^4*y^2
Step-by-step explanation:
Whenever you multiply a number by itself, add one to its power. X is actually x^1, but we don't write that. Keep on adding 1 to the power for every x you multiply together and do the same thing for y. You will get x^4*y^2 as the answer.
Answer:
x^4y^2
Step-by-step explanation:
because you have 4 x so you put x^4 and you have 2 y so you do y^2 which the answer is x^4y^2
two nonadjacent angles formed by two intersecting lines are
Two non-adjacent angles formed by two intersecting lines are vertical angles.
How to classify angles given by intersecting lines?
Below you can see a graph with two intersecting lines where 4 angles are formed.
There are two pairs of angles.
Adjacent angles, such that their sum is equal to 180°.Non-adjacent angles (also called vertical angles).In the image:
1-22-33-44-1Are adjacent.
1-32-4Are vertical.
If you want to know more about angles, you can read:
https://brainly.com/question/14362353
Solve for (-7)-9-((-4)-1)
Answer:
The answer is negative 11
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
(-7)-9-((-4)-1)
-16-(-4-1)=-11
-16-(-5)=-11
-16+5=-11
-11
Also you can use the app called Microsoft Math Solver, it helps alot. :)
How many millions are in a trillion?
10000 millions or 999 billion is 1 trillion
Consider the diagram shown below.
А
B
m
С
D
Which of the following statements best describes the construction in the diagram?
O AB || CD.
O ABCD
0 C is the midpoint of m.
OD is the midpoint of m.
Answer:
The correct option is;
[tex]\overline{AB} \cong \overline{CD}[/tex]
Step-by-step explanation:
From the diagram, we have that the segment [tex]\overline {AB}[/tex] is given as the measured distance between the points A and B while the measured segment [tex]\overline {CD}[/tex] is constructed on the line m, starting from a point C and using a compass whose width is adjusted to the length of the segment [tex]\overline {AB}[/tex] and with the metal tip of the compass placed at C, to draw an arc the crossed the line m at a point which is then marked and labelled as then point D
Therefore the length of the segment [tex]\overline {AB}[/tex] is equal to the length of the segment [tex]\overline {CD}[/tex] and the relation is expressed as [tex]\overline{AB} \cong \overline{CD}[/tex].
x is greater than -9 and less than or equal to 4 use x only once in your inequality
Answer:
4≤x>-9
Step-by-step explanation:
A recipe for fruit calls for 2 cans of pineapple juice and 3 cans of orange juice. Hiri is making a large batch for a community function and uses 72 cans of orange juice. How many cans of pineapple juice should he use?
Answer:
48 cans of pineapple juice he should use.
Step-by-step explanation:
This, is a problem of ratio where we have to use the concept
a:b = c:d which can be also written as
a/b = c/d
______________________________________________________
According recipe
we find ratio of pineapple and orange juice
amount pine apple juice : amount of orange juice = 2 cans : 3 cans
Thus, ratio of pineapple and orange juice = 2:3
___________________________________
Given that this recipe is used for making juice in large batch for a community function
Given
amount of orange juice = 72 cans
let the amount of pine apple juice be x
ratio of pineapple and orange juice in this case
amount pine apple juice : amount of orange juice = x cans : 72 cans
ratio of pineapple and orange juice in this case= x : 72
since recipe used is same.
ratio will be same in both case that in recipe ratio and large batch preparation for community function
Thus,
x:72 = 2:3
which can also be written as
x/ 72 = 2/3
x = 2/3 * 72 = 48
Thus, 48 cans of pineapple juice he should use.
3x^2 - 4x = 2
I have to solve the equation using the quadratic formula then write the answer in simplest form
Despite my many efforts, it's still marked as wrong, and photomath didnt get it right, either.
Answer:
Step-by-step explanation:
3x^2 - 4x - 2 = 0
4/6 + (sqrt(16 - 4(3)(-2)))/6
2/3 + (sqrt(16+24))/6
2/3 + (sqrt(40))/6
2/3 + 2(sqrt(10)/6
2/3 + (sqrt(10))/3
Answer:
[tex]x = \frac{2 + \sqrt{10} }{3} \: \: \: or \: \: \: x = \frac{2 - \sqrt{10} }{3} [/tex]Step-by-step explanation:
3x² - 4x - 2 = 0
Using the quadratic formula
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 3 , b = - 4 , c = - 2
So we have
[tex] x = \frac{ - - 4\pm \sqrt{( { - 4})^{2} - 4(3)( - 2)} }{2(3)} \\ x = \frac{4\pm \sqrt{16 + 24} }{6} \\ x = \frac{4\pm \sqrt{40} }{6} \\ x = \frac{4\pm2 \sqrt{10} }{6} \\ x = \frac{4}{6} \pm \frac{ 2\sqrt{10} }{6} \\ x = \frac{2}{3} \pm \frac{ \sqrt{10} }{3} \\ x = \frac{2\pm \sqrt{10} }{3} [/tex]We have the final answer as
[tex]x = \frac{2 + \sqrt{10} }{3} \: \: \: or \: \: \: x = \frac{2 - \sqrt{10} }{3} [/tex]Hope this helps you
Find the value of c and YZ if Y is between X and Z.
XY = 5.5. YZ = 2c. XZ = 8.9
Ć
YZ
IN
Answer:
c=3•6 between xy andxz is7•2
The control group in an experiment is the group that did not have a variable changed.
A False
B True
The circumference of a circle is 6pi meters. What is the diameters? Explain
Answer:
d=6
Step-by-step explanation:
circumference= 2pi r
6pi=2pi d/2
6pi/2pi=d/2
3*2=d
d=6
A group of 6 students was asked, " How many hours did you watch television last week?" Here are their responses 17 , 15 , 5 , 8 , 20 , 20 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.
Answer:15 hours
Step-by-step explanation:
15+5=20
20+20=40
13+17=30
Add
90 hours
90÷6= 15
15 hours
You have $135 in a savings account and save $12 per week. Your friend has $95 in a savings account and saves $20 per week. How many weeks will it take for you and your friend to have the same balance?
Answer:
It will take 5 weeks for you and your friend to have the same balance
Step-by-step explanation:
Let
Your savings expression be
135 + 12x
Your friends savings expression
95 + 20x
Where,
x = number of weeks for you and your friend to have the same balance
Equate the two expressions
135 + 12x = 95 + 20x
Collect like terms
135 - 95 = 20x - 12x
40 = 8x
Divide both sides by 8
40/8 = x
x = 40/8
= 5
x= 5 weeks
Check
Your savings expression
135 + 12x
135 + 12(5)
=135 + 60
= $195
Your friends savings expression
95 + 20x
95 + 20(5)
= 95 + 100
= $195
Therefore, It will take 5 weeks for you and your friend to have the same balance
6 Friends all use two dollars off coupon to buy them selves movie tickets they spend a total of $42 what is the price of one movie ticket without the coupon
Answer:
The answer is $7
Step-by-step explanation:
The answer is $7 because $42 divided by 6 = 7.
Answer:
The price of one movie ticket without a coupon would be $9.
Step-by-step explanation:
one movie ticket: x
$42 = 6(x- 2)
$42 = 6x- $12
Move the 12 to the other side.
42 = 6x - 12
+ 12 +12
____________
54 = 6x
Now divide 6 from both sides.
[tex]\frac{54}{6}[/tex] = [tex]\frac{6x}{6}[/tex]
9 = x
What is the value of x? x=int(13.25 + 4/2) *
15.25 is the answer of the question
The value of x is x = int(13.25 + 4/2) is 15
Integers are negative or positive whole numbers. Given the expression for x, x=int(13.25 + 4/2)
This means that we are to express the result of x as an integer
Solving the expression 13.25 + 4/2
[tex]=13.25+\frac{4}{2} \\=13.25 + 2\\=15.25\\[/tex]
In order to convert this result into an integer, we will approximate it to the nearest whole number. Hence:
[tex]x=int(15.25)\\x \approx 15[/tex]
This shows that the value of x is x = int(13.25 + 4/2) is 15
Learn more here: https://brainly.com/question/22309443
twice the sum of a number and 400. Translate the verbal expression into an algebraic expression plz
Answer:
(a+b) ^2=400
Step-by-step explanation:
Follow me for more answers If you like my way of solving
Hello, what's 9+10^2+25=???
Step-by-step explanation:
Hey there!!
Simply add all,
[tex] = 9 + {10}^{2} + 25 [/tex]
[tex] = 9 + 100 + 25[/tex]
[tex] = 134[/tex]
Or, if you are asking about what are these numbers then, simply they are the sum of sqaure number of 3, 10 and 5.
Hope it helps....
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{134}}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{9 + {10}^{2} + 25}[/tex]
Evaluate the power : 10²
[tex] \dashrightarrow{ \sf{9 + 10 \times 10 + 25}}[/tex]
[tex] \dashrightarrow{ \sf{9 + 100 + 25}}[/tex]
Add the numbers: 9 , 100 and 25
[tex] \dashrightarrow{ \sf{134}}[/tex]
Hope I helped!
best regards! :D
- 9y2 (2y2 + 3y - 9)
Answer:
=−18y4−27y3+81y2
Step-by-step explanation:
− y 2 − 8 y + 21
Hope this helped!!!
What is the Answer to 3m+4n
Answer:
7mn
Step-by-step explanation:
3 + 4 is 7
m + n is mn
7mn
HELP!!!!! Will give out brainliest
The length of a rectangle is twice the width. The area of the rectangle is 96 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square? Estimate the length and width of the rectangle.
Answer:
The estimate part is D or the square root of 48 and the rectangle is 13.8 units long and 6.9 units wide. Have Fun on Savvas Bro
Step-by-step explanation:
The required answer is,
Width of the rectangle = 6.325 units
Length of the rectangle = 12.65 units
Side length of the square the 6.325 units.
What is rectangle?A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
Now it is given that,
The length of a rectangle is twice the width. The area of the rectangle is 96 square units.
The area of the rectangle = Length × Width
Length = 2W
96 square units = 2W × W
96 = 2W²
W² = 96/2
W² = 48
W = √48
Width of the rectangle = 6.928203 units
Approximately = 6.928 units
Now,
Length = 2 × Width
= 2 × 6.928
= 13.86 units
• Now,we need to divide the rectangle into two squares with equal area, and estimate the side length of each square,
When we divide a rectangle into 2 squares,
The length is divided into two.
Hence, the length of the rectangle = 13.86 units
13.86 units ÷ 2 = 6.928 units.
Hence, the side length of the square the 6.928 units.
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