+
What is the quotient when (16x4 + 40x3 - 24x2) is divided by 8x??
OA.
2x + 5x-3
OB. 2x + 3x-5
OC. 2x - 5x+5
D. 2x3 + 5X-3
+
Relat
Next
Answers
Answer: [tex]2x^{2} + 5x -3[/tex]
Step-by-step explanation:
Find the quotient of [tex]\frac{16x^4+40x^3-24x^2}{8x^2}[/tex]
Step 1: Break down the polynomial equation
[tex]\frac{16x^4}{8x^2}[/tex] + [tex]\frac{40x^3}{8x^2}[/tex] - [tex]\frac{24x^2}{8x^2}[/tex]
Step 2: Divide each piece by dividing the coeffients and subtracting the variables.
16 ÷ 8 = 2
[tex]x^{4}[/tex] - [tex]x^{2}[/tex] = [tex]x^{2}[/tex] → 2[tex]x^{2}[/tex]
40 ÷ 8 = 5
[tex]x^{3}[/tex] - [tex]x^{2}[/tex] = [tex]x[/tex] → 5[tex]x[/tex]
- 24 ÷ 8 = - 3
[tex]x^{2}[/tex] - [tex]x^{2}[/tex] = 1 → - 3
Step 3: Put the polynomial together
2[tex]x^{2}[/tex] + 5[tex]x[/tex] - 3
Related Questions
The arithmetic sequence 1, 3, 5, 7, 9,. . . Represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = (k - 1).
Answers
The explicit rule for the sequence is Tn = 2n - 1
Given the sequence 1, 3, 5, 7, 9...
The explicit formula for the nth term is expressed as:
[tex]T_n=a+(n-1)d[/tex]
a is the first term = 1
d is the common difference = 3 - 1 = 5 - 3 = 2
n is the number of terms
Substitute the given parameters into the formula to have;
[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]
Hence the explicit rule for the sequence is Tn = 2n - 1
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Answer:
1st: 1+(k-1)2
2nd: 399
3rd: C
4th: 40,000
2(3х + 8) = 2х - 16 + 4х
Answers
Answer: 0= -32
Step-by-step explanation:
brainliest me
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answers
Answer:
116π
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
Two people answer = one brainliest for best answer 100pts
Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.
For similar isosceles trapezoids ABCD and WXYZ, determine which of the following proportions are equivalent to each other. Select all situations that apply.
Thank you
Answers
Answer:
The first, third, and fourth answers are correct!
The angle of depression of a rabbit from the top
of a cliff is 24°. After the rabbit hops a distance
of 80 m horizontally towards the base of the cliff,
the angle of depression of the rabbit from the
top of the cliff becomes 32°. Find the height of
the cliff.
Answers
The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.
Let the height of the cliff be represented by h, so that:
From the triangle 1, we have:
tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]
⇒ h = tan [tex]32^{o}[/tex]*x
h = x tan [tex]32^{o}[/tex] ............. 1
Also, from the bigger triangle, we have:
tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]
⇒ h = tan [tex]24^{o}[/tex] (80 + x) ......... 2
Now equating the expressions for h in equations 1 and 2, we have:
x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)
0.6249x = 0.4452 (80 + x)
= 35.616 + 0.4452x
0.6249x - 0.4452x = 35.616
0.1797 x = 35.616
x = [tex]\frac{35.616}{0.1797}[/tex]
x = 198.2 m
Substitute the value of x in equation 1;
h = x tan [tex]32^{o}[/tex]
= 198.2 * 0.6249
= 123.8552
h = 123.86 m
Therefore, the height of the cliff is approximately 123.86 m.
A sketch to this question is attached.
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Which expression uses the associative property to make it easier to evaluate
6.)?
O A. (6)
O B. (6-3);
OC. 6(3)
OD D. 3(5.5)
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
The associative property just moves parentheses, without changing the values or order of the operands. The only expression for which that is true is ...
B. (6·1/3)·7/5
Write 4.5kg : 1500g as a ratio in its simplest form
Answers
Answer:
3 : 1
Step-by-step explanation:
The values must be in the same quantity
1 Kg = 1000 g
4.5 Kg = 4.5 × 1000 = 4500 g
Then
4.5 Kg : 1500 g
= 4500 g : 1500 g ( divide both parts by 1500 )
= 3 : 1 ( in simplest form )
The simplified form of the ratio, 4.5 kg : 1,500 g is 3 : 1
What is a ratio?A ratio is a measure of the number of times one quantity is contained in or contains another quantity.
To write the the ratio 4.5 kg : 1,500 g as a ratio in its simplest form, both quantities are to be expressed in the same unit.
1 kg = 1,000g
Therefore, 4.5 kg = 1,000 g/kg × 4.5 kg = 4,500 g
The ratio 4.5 kg : 1,500 g can be written as follows;
4,500 g : 1,500 g
The above ratio can be simplified by dividing both terms by the greatest common divisor, (GCD). The GCD of 4,500 and 1,500 is 1,500, therefore, we divide both terms by 1,500 to get;
4,500 g : 1,500 g = (4,500 ÷ 1,500) : (1,500 ÷ 1,500) = 3 : 1
Therefore, the ratio 4.5 kg : 1,500 g simplifies to 3 : 1
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#SPJ2
Subtract. Simplify your answer and write it as a mixed number.
9 3/7 - 5 2/21
Answers
Answer:4 1/3
Step-by-step explanation:
The table below shows the incomplete values as y varies directly as
x. Calculate the missing values.
y =10 20_
x =5_ 2
Answers
Answer:
y=30
x=3
Step-by-step explanation:
~may it help you~
ANYONE CAN HELP ME ?? :)
Answers
Answer:
12[tex]\frac{2}{3}[/tex] cm
Step-by-step explanation:
Have a nice day
the quotient of y and 8 is greater than 10
Answers
Answer:
Well the ineqaulity here would be
y/8 > 10
Or in simpler terms
y ÷ 8 > 10
If you were to solve
y > 80
The height above the ground, h, in feet, of a bullet fired upward is given by the formula
h = −162 + 80 + 224. Find the number of seconds after being fired the bullet hits the ground.
Answers
Answer:
After 7 seconds it hits the ground.
h= -16^2 + 80x + 224
(I'm assuming this is what you meant, because these problems are generally quadratic)
Use quadratic formula to find when it hits the ground (get zeros)
x = -2, x = 7
After 7 seconds it hits the ground.
please help asap…………
Answers
How do you do the elimination method on these equations: 3x = y+5 and 2x+y=5
Answers
Answer:
[tex](2,1)[/tex]
Step-by-step explanation:
Let's first write down the first in traditional form:
[tex]\left \{3x-y=5} \atop {2x+y=5}} \right.[/tex]
At this point, let's choose the order we want to do it.
Eliminating x: Let's multiply the first by 2, the second by 3, and subtract one from the other. Rest is simple algebra
[tex]2I-3II: 6x-2y -6x-3y = 10-15\\-5y=-5 \rightarrow y=1[/tex]
Eliminating y: Let's simply add the two equations together. Rest is simple algebra
[tex]I+II:3x-y+2x+y = 10\\5x=10 \rightarrow x = 2[/tex]
How many 3/4s are in 2? Draw a tape diagram
Answers
Answer:
8/3, or 2 if you want a whole number
Step-by-step explanation:
Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)
An arithmetic sequence k starts 4, 13, . . . . Explain how you would calculate the value of the 5,000th term
Answers
Using the concept of arithmetic sequence, the 5000th term can be obtained using the relation 4 + (5000 - 1)9
For an arithmetic sequence, the nth term is calculated using the relation :
Tn = a + (n - 1)d d = common difference n = nth term a = first termHere,
First term, a = 4
Common difference = 2nd term - 1st term = 13 - 4 = 9
nth term = 5000th term
The expression would be :
The required expression would be : T(5000) = 4 + (5000 - 1)9
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Find the slope of the line.
Answers
Answer:
[tex]m=\frac{-3}{2}[/tex]
Step-by-step explanation:
We can see certain points plotted which are (-1, 2) (1,-1) and (3, -4)
We use the slope formula to find slope with any two points that were given
[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
The sum of a whole number A and a whole number B is 30, and the ratio A : B is equivalent to 3 : 2
Answers
A=45
The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:
Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
A). Step 2; 8x − 4 = 2(6 + x + 6)
B). Step 2; 8x − 16 = 16 + 2x
C). Step 3; 6x − 2x = 16 − 8
D). Step 3; 6x + 2x = 16 + 8
Answers
Answer:
B
Step-by-step explanation:
He added 4 to 2 instead of multiplying.
Please help!
Find the difference quotient (f(x + h) - f(x))/h where h ne0 , for the function below . f(x) = 2x ^ 2 - 9 Simplify your answer as much as possible .
Answers
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
In this exercise we must apply the definition of derivative, which is described below:
[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)
If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:
[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]
[tex]f'(x) = 4\cdot x[/tex]
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
We kindly invite to check this question on derivatives: https://brainly.com/question/23847661
I rlly need help it’s due tmrw
Answers
Answer:
3.Top: |-80| + |50| = 80 + 50 = 130m
Bottom: same as top
Left: |50| + |-20| = 50 + 20 = 70m
Right: same as left
4.
130m+130m+70m+70m=400m
The perimeter is 400 meters
Is -5/2 greater than 3?
Answers
Answer:
No -5/2 is not greater than three.
Step-by-step explanation:
You could solve this without doing any math. You know that a negative divided by a positive is still a negative and that negative numbers are never greater than positive numbers so therefore you got the answer. No, -5/2 is not greater than positive 3.
Answer:
No
Step-by-step explanation:
[tex]-\frac{5}{2}[/tex] is not greater than 3; it is less than 3. Positives are greater than negatives. To know if an integer is negative, you should see something like this: - in front of the number.
Positive integers don't have a plus sign in front of it because we already assume it is there.
Mark has 403 coins. He has 89 more than his sister. How many coins do they both have altogether
Answers
Since he has 89 more than his sister, then you subtract 403 - 89 to get his sisters total, which is 314
You need to find what they have in total, so 403 + 314
The answer is 717
(PICTURE PROVIDED)
HELPPPPPPP PLS
A: 5/4
B: 3/2
C: 6/5
D: 2/3
Answers
Answer:
I think its 6/5 or 2/3
Step-by-step explanation:
Answer:
1. A
2. C
3. D
4. C
5. D
Step-by-step explanation:
You're welcome
How to figure out the absolute value.
Answers
Answer:
absolute value is the same number just positive and cha never be negative.
100 points if u get this right ty bye now!
Answers
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Need help with this one too plzzz
Answers
Answer:
0.83
Step-by-step explanation:
volume = length*height*width
1500=L*30*60
1500=1800L
1500/1800 = 0.83
length = 0.83
need 8&9 urgently!!!
Answers
Answer:
8.x=7
7.x=12
Step-by-step explanation:
8.The two Base angles are equal
7. The exterior(outside) angle is equal to the sum of the two interior(inside) angles.
100 if u get this right ty have a nice day!
Answers
Answer:
9
Step-by-step explanation:
2+4 over 2
x 3
= 9
PLEASE HELP ME!!! philip would be able to buy 15 apples if he had $2.10 more money than he has now. if he buys 12 apples, how would have $3.30 left of the money he has now. how much does one apple cost?
Answers
One apple cost $1.8 while the money that Philip has is $24.90
Let x represent the cost of each apple and y represent the money he has presently.
He can buy 15 apples if he had $2.10 more money than he has now, hence:
15x = y + 2.1
15x - y = 2.1 (1)
Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:
12x + 3.3 = y
12x - y = -3.3 (2)
Solving equations 1 and 2 gives:
x = 1.8, y = 24.9
Hence one apple cost $1.8 while the money that Philip has is $24.90
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