Answers
Answer:
1). Option (d)
2). Options (a), (b) and (d)
Step-by-step explanation:
Question 1
a). [tex]3x^5-6x^3+9x-12x^{-1}[/tex]
Any expression with negative exponent is not a polynomial.
b). [tex]4\sqrt{x}+5[/tex]
Any expression having variable with square root is not a polynomial.
c). [tex]\frac{4x+5}{3x-1}[/tex]
Any expression having variables in the form of a fraction is not a polynomial.
d). [tex]-\frac{3}{2}x^{12}-7x^5+\frac{2}{3}x-10[/tex]
It's a polynomial.
e). [tex]-5x^{\frac{3}{2}}-7x^2+6[/tex]
Expressions having variables with square root are not the polynomial.
Therefore, Option (d) is a polynomial.
Question 2.
P(x) = (2x + 1)(5x³ - 8x + 4)
= 2x(5x³ - 8x + 4) + 1(5x³ - 8x + 4)
= 10x⁴ - 16x² + 8x + 5x³ - 8x + 4
= 10x⁴ - 5x³ - 16x²+ 4
a). Degree of polynomial = 4
True
b). P(0) = 10(0) - 5(0) - 16(0) + 4
= 4
True
c). P(-1) = 10(-1)⁴ - 5(-1)³ - 16(-1)² + 4
= 10 + 5 - 16 + 4
= 3
False
d). Coefficient of x₂ is -16.
True
e). Coefficient of x is -16
False
Therefore, Options (a), (b) and (d) are correct.
Related Questions
LAST POINTS PLEASEE PLEASEEEE HELP!! :(
Answers
Answer:
D. 22 2/3
Step-by-step explanation:
To find area you multiply length times width.
Here:
L = 5 2/3
and W = 4
So multiply 5 2/3 by 4, you get 22 2/3
Good luck! Please mark brainliest!
2x-5 < 3 someone help
Answers
Answer: x < 4
Step-by-step explanation: Move the constant to the right (5). Simplify (3+5=8). Divide both sides (8/2 & 2/2).
please can someone help my assignment in math
Answers
Answer/Step-by-step explanation:
1. B = 180 - (90 + 58) (sum of triangles)
B = 32°
Let's find a and b using trigonometric ratios:
Reference angle = 58°
Opposite = a = ?
Hypotenuse = c = 27
Adjacent = b = ?
✔️To find a, apply SOH:
Sin 58 = Opp/Hyp
Sin 58 = a/27
a = 27*Sin 58
a = 22.8972986 ≈ 22.9 (nearest tenth)
✔️To find b, apply CAH:
Cos 58 = Adj/Hyp
Cos 58 = b/27
b = 27*Cos58
b = 14.3 (nearest tenth)
2. B = 180 - (90 + 63) (sum of triangles)
B = 27°
Let's find a and b using trigonometric ratios:
Reference angle = 63°
Opposite = a = 11
Hypotenuse = c = ?
Adjacent = b = ?
✔️To find b, apply TOA:
Tan 63 = Opp/Adj
Tan 63 = 11/b
b = 11/Tan 63
b = 5.6 (nearest tenth)
✔️To find c, apply SOH:
Sin 63 = Opp/Hyp
Sin 63 = 11/c
c = 11/Sin 63
c = 12.3 (nearest tenth)
3) Which ordered pair is a solution to the linear
inequality below?
2x-3y <9
A. (6,4)
B. (-1,-9)
C. (2,-5)
D. (-3,-3)
Can you help me
Answers
Answer:
A
Step-by-step explanation:
2(6)-3(4)=0<9
What is the approximate circumstances of the circle shown below?
A. 122.4 cm
B. 30.6 cm
C. 56.8 cm
D. 61.2 cm
Answers
Answer:
the answer to this is D) 61.2
Kayla drew 2 numbered cards from a deck. When she added the numbers, their sum was 12. One number was twice as big as the other one. What 2 cards did she draw out?
Answers
Answer:
4 & 8
Step-by-step explanation: hope this helps :)
If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thetacotθ in simplest radical form.
Answers
The exact value of the cotangent of theta in simplest radical form is -21/20.
What is the simplest radical form?
The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.
To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.
Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:
[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]
Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:
cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)
sin(theta) = opposite/hypotenuse = -20/sqrt(1241)
Now we can find the value of cotangent of theta:
cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))
= -21/20
Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.
To learn more about the simplest radical form, visit:
https://brainly.com/question/565192
#SPJ1
OK you look like your going through a tuff time, the cold harden truth is that you have no choice but to live with it. Listen closely life is not all about being with somebody you have to work hard for your goals. God gave you a road to walk down, Not for somebody else to walk down with you therefore YOU walk down that road and that road has alot of choices all the way to a through z.. You choice your choices in life no buddy else. Its all on you. somebody wants to break up with you then let it be THEY walked out the door before the party had started not you. You live your own life and dont let anybody tell you other wise. Have a good day its you choice not anybody elses be wise with you choices tho it will effect your future and ppl around you. (:
Im finna get band after this lol
Answers
Answer:
ok
Step-by-step explanation:
Solve the system of equations below
3x - 4y = 12
12y - 9 = 36
Answers:
A) x = -4, y = 3
B) x = 4, y = -3
C) no solution
D) infinitely many solutions
Help me please
Answers
60 POINTS! (Reported if incomplete/absent)
Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Answers
Answer:
- The neighbor that has the most amount of fence to put up is: Neighbor A.
- The neighbor that has the least amount of fence to put up is: Neighbor C.
Step-by-step explanation:
To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:
Convert yards to feet (Remember that :
To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:
Where r is the radius.
In this case, the radius is:
Substituting, you get:
To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:
Therefore, the neighbor that has the most amount of fence to put up is: Neighbor A.
The neighbor that has the least amount of fence to put up is: Neighbor C.
hope this helps btw i just copy and pasted this so its not my work
Answer:
- The neighbor that has the most amount of fence to put up is: Neighbor A.
- The neighbor that has the least amount of fence to put up is: Neighbor C.
Step-by-step explanation:
which equation can be used to solve x in the diagram??
a) 13x - 5x = 180
b) 5x + 13x = 90
c) 5x + 13x = 180
d) 5x = 13x
no links
Answers
Answer:
[tex]5x \: + \: 13x \: = 180[/tex]
HELP ME I WILL GIVE BRAINLY IF I WAS BORN SEPTEMBER 13th and I WAS 16 WHAT YEAR WAS I BORN
Answers
Answer:
2004
Step-by-step explanation:
if it was 2005 theyd be 15
Find the slope of a line parallel to each given line.
Answers
y = mx +c
y = y coordinate
m = gradient / slope
x = x coordinate
c = y intercept
question is asking to find slope so it will be “m”
Therefore answer
13) 2/3
14) 9/5
If 25 cents are the same as 1/4; how many 1/4 are in $10?
Answers
Answer:
40
Step-by-step explanation:
Answer:
There would be 40 sets of 1/4 in $10.
Step-by-step explanation:
This is because when you divide 10 by 0.25 (1/4) it is equal to 40.
You can also think of 4 times 10 since 4 1/4s(.25 cents) are equal to a dollar.
Hope that makes sense :)
can someone please help me asap ill give extra brainly points!!!
Answers
Answer:
94.20 yds
Step-by-step explanation:
C = 2 pi r
2 pi (15) = 94.20 yds
Maya brought some orange slices for her volleyball team to eat between games. They
divided the orange slices equally among the 8 team members, so each team member got
6 orange slices. Lets be the number of orange slices Maya brought. Write and solve an
equation to find s.
Answers
Answer:
48
Step-by-step explanation:
6 times 8=48
Given: EL≅KP Prove: KE≅LP
Answers
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]EL\cong KP[/tex]
And we want to prove that:
[tex]KE\cong LP[/tex]
Congruent chords have congruent arcs. Therefore:
[tex]\stackrel{\frown}{EL}\, \cong \, \stackrel{\frown}{KP}[/tex]
Arc EL is the sum of Arcs LP and PE:
[tex]\stackrel{\frown}{EL}\,=\, \stackrel{\frown}{LP}+\stackrel{\frown}{PE}[/tex]
Likewise, Arc KP is the sum of Arcs KE and PE:
[tex]\stackrel{\frown}{KP}\, =\, \stackrel{\frown}{KE}+\stackrel{\frown}{PE}[/tex]
Since Arcs EL and KP are congruent:
[tex]\stackrel{\frown}{LP}+\stackrel{\frown}{PE}\, =\, \stackrel{\frown}{KE}+\stackrel{\frown}{PE}[/tex]
Subtraction Property of Equality:
[tex]\stackrel{\frown}{LP} \, \cong\, \stackrel{\frown}{KE}[/tex]
Congruent arcs have congruent chords. Therefore:
[tex]LP\cong KE[/tex]
once again some one good at 7th grad math i need your help
Answers
Answer:
(1.) -32.4 (2.) 99.94
Step-by-step explanation:
plz mark 5 str, helpful, and brainliest!
Solve the above equation for x.
Answers
Answer:
x=6
Step-by-step explanation:
(1/3x+2=4)x3
x+6=12
x=12-6
x=6
Answer: 6
Step-by-step explanation:
1/3x + 2 = 4
1/3x = 2 (subtracted 2 from both sides to get rid of the 2)
x = 6 (multiplied both sides by 3 to get rid of the coefficient)
Select all names that apply to the number. The length of the side of a square that has an area of 77 square yards.
A real
B whole
C rational
D irrational
E integer
Answers
The length of the side would be sqrt(77) = 8.7749.....
This can be classified as two answers:
A and D
This is a real number
It is also an irrational number because it can’t we written as a simple fraction.
not sure which one is it
plz help
Answers
The diagram shows a right-angled triangle.
hcm
48°
18 cm
What is the value of h?
Give your answer
Answers
Answer:
13.4
Step-by-step explanation: sin= opposite/ hyp sin(48) = h/ 18 h = sin(48) * 18
Write the square roots of 49 i in ascending order of the angle.
Answers
Answer:
The square roots of 49·i in ascending order are;
1) -7·(cos(45°) + i·sin(45°))
2) 7·(cos(45°) + i·sin(45°))
Step-by-step explanation:
The square root of complex numbers 49·i is found as follows;
x + y·i = r·(cosθ + i·sinθ)
Where;
r = √(x² + y²)
θ = arctan(y/x)
Therefore;
49·i = 0 + 49·i
Therefore, we have;
r = √(0² + 49²) = 49
θ = arctan(49/0) → 90°
Therefore, we have;
49·i = 49·(cos(90°) + i·sin(90°)
By De Moivre's formula, we have;
[tex]r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}} = \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )[/tex]
Therefore;
√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))
∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))
√(49·i) = ± 7·(cos(45°) + i·sin(45°))
The square roots of 49·i in ascending order are;
√(49·i) = - 7·(cos(45°) + i·sin(45°)) and 7·(cos(45°) + i·sin(45°))
WILL GIVE BRAINLIEST TO CORRECT ANSWER!
Priya and Han plan a fundraiser for the running club. They begin with a balance of -80 because of expenses. In the first hour of the fundraiser they collect equal donations from 9 parents, which brings their balance to -44. How much did each parent give?
Answers
Answer: 4
Step-by-step explanation:
First we need to find the difference of the balance.
it was -80 then it became -44. The difference is 36.
Next we divide 36 by 9 from the 9 parents.
The answer is 4
Select the correct answer.
What is the solution set of y = x² + 2x + 7 and y = x + 7?
A.
{(0, 7), (-1, 6)}
B.
{(0, 7), (-7, 0)}
C.
{(0, 7), (1, 8)}
D.
{(-2, 0), (4, 0)}
Answers
Answer:
c
Step-by-step explanation:
If y varies directly with x according to the relationship y = kx, and y = 7.5 when x = 2.5, determine the constant of variation k.
Answers
Answer:5
Step-by-step explanation:
Write the decimal as a fraction or mixed number in lowest terms.
1.01 plz no links
Answers
Answer:
1/100
Step-by-step explanation:
Hope it helps
Please brainliest
find the angle sum of polygon which had 9 sides
Answers
Answer:
1260°
Step-by-step explanation:
Number of sides was given as 9, hence ( n= 9)
Sum of interior angle of a polygon can be determined using the expression below
[(2n-4)90°]
Substitute n=9
[((2×9) -4)) ×90]
= [(18-4)×90]
(14×90)=1260°
Hence, angle sum of polygon which had 9 sides is 1260°
use prime factorization to find square root of 196
Answers
Answer:
14
Step-by-step explanation:
You should always specify if you want an exact answer or a rounded one. I'll assume the former.
Prime Factors
196 = 2 * 98196 = 2 * 2 * 49196 = 2 * 2 * 7 * 7Rule
For every 2 factors under the root sign, take 1 outside the root sign and throw the other one away.
Solution
[tex]\sqrt{2 * 2 * 7 *7}[/tex]
2 * 7 * √1
14
Can anyone explain how you graph things for example, like y=x-4 how would you graph that
Answers
Answer:
In basicallity if a question such as this pops up, the correct way to go would first be to graph this. y=x-4 would be equivalent to x=4.
My paper work is below:
y = x - 4
0 = x - 4
-x = -4
x = 4
Hope this helped..