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
What is the solution for x in the equation? 10x-4.5+3x=12x-1.1
Answers
Answer:
[tex] putting \: the \: like \: terms \: together\\ 10x + 3x - 12x = 4.5 - 1.1 \\ x \: = 3.4[/tex]
Which equation is equivalent to 231 = 10?
Answers
Answer:
4.) log2(10)=3x
Step-by-step explanation:
I think it's correct
please help! i'll give brainliest! no one would help me PLEASE.
Answers
Answer:
m∠ABC = 42°
Step-by-step explanation:
5x + 13 + 3x + 33 = 70
8x + 46 = 70
8x = 24
x = 3
m∠ABC = 3(3) + 33 = 42
What's the circumference of a circle with a radius of 10 inches
Answers
Answer:
5
Step-by-step explanation:
5
A honeybee hive may contain up to 4.0x10^4 honeybees. What is the number of honeybees in a beehive in standard form
Answers
Answer:
40000
Step-by-step explanation:
Given that,
A honeybee hive may contain up to [tex]4\times 10^4[/tex] honeybees.
We need to find the number of honeybees in a beehive in standard form.
We know that,
10⁴ = 10000
So,
4 × 10⁴ = 4 × 10000
= 40000
So, there are 40000 honeybees in a beehive.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
B
Step-by-step explanation:
the mean changes a lot, the median doesn't change
Answer:
B
Step-by-step explanation:
the mean is 599.5 and the median is 410
Guys pls help me!!!!!!
Answers
Answer:
B
Step-by-step explanation:
If x is any larger than 4 it would be greater than 5, since 2*4-3=5
If x was any smaller than -1 it would be greater than 5, since 2*-1-3=|-5|=5
C hope this help you
Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?
Answers
Answer:
24 girls
Step-by-step explanation:
24:12
2:1
A group of preschoolers has 8 boys and 24 girls, what is the ratio of boys to girls?
Answers
Answer:
1/3
Step-by-step explanation:
8
24
=
1
×
8
3
×
8
how many units of meters make a kilometer?
Answers
EXPLANATION: 1 km = 1000
Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.
Answers
Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
Pyramid A
[tex]s = 4[/tex] -- base sides
[tex]V = 36[/tex] -- Volume
Pyramid B
[tex]s = 6[/tex] --- base sides
Required
Determine the volume of pyramid B [Missing from the question]
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:
[tex]V = \frac{1}{3} * B * h[/tex]
Where B represents the area of the base equilateral triangle, and it is calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]
[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 4\sqrt 3[/tex]
The height is calculated from:
[tex]V = \frac{1}{3} * B * h[/tex]
This gives:
[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]
Make h the subject
[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]
[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]
[tex]h = \frac{27}{\sqrt 3}[/tex]
To calculate the volume of pyramid B, we make use of:
[tex]V = \frac{1}{3} * B * h[/tex]
Since the heights of both pyramids are the same, we can make use of:
[tex]h = \frac{27}{\sqrt 3}[/tex]
The base area B, is then calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where
[tex]s = 6[/tex]
So:
[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 9\sqrt 3[/tex]
So:
[tex]V = \frac{1}{3} * B * h[/tex]
Where
[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9 * 27[/tex]
[tex]V = 81[/tex]
Answer:
81
Step-by-step explanation:
The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft. tall basketball player casts a shadow that measures 9.75 ft.
The basketball player’s little sister is 3.5 ft. tall. At the same time of the day, determine her shadow’s length to the nearest tenth of a foot.
Answers
Answer:
Length of the shadow of player's sister is 5.25 feet.
Step-by-step explanation:
From the figure attached,
AB represents the basketball player and DE is his little sister.
Height of basketball player = 6.5 ft
Length of shadow of the player = 9.75 ft
Height of player's sister = 3.5 ft
Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{ED}{DC}[/tex]
[tex]\frac{6.5}{3.5}= \frac{9.75}{x}[/tex]
x = [tex]\frac{9.75\times 3.5}{6.5}[/tex]
x = 5.25 ft
Therefore, length of the shadow of player's sister is 5.25 feet.
 please help me ahhh im doing 8th grade math with pythagorean theorem
Answers
Step-by-step explanation:
The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.
The hypotenuse is the longest side so 3.5 is our hypotenuse.
Apply formula to see of true.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]
[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]
[tex]15.25 = 12.25 {?}[/tex]
So it isn't a triangle since they aren't equal
Petra is making donuts by stamping circles in dough using a pastry stamp with a diameter of 3 inches. For the donut hole, she stamps out a circle using a pastry stamp that has a diameter of 1 inch.
How many square inches of dough are left to make the donut after the hole has been removed?
Answers
Answer:
2 inches would be left
Step-by-step explanation:
A publisher sells
[tex] {10}^{6} [/tex]
copies of a new science fiction book and
[tex] {10}^{3} [/tex]
copies of a new mystery book. How many times as many science fiction books were sold than mystery books?
_ books
Answers
A 7-meter by 7-meter square is reduced so that each side is half as long as the original.
a. Describe the new square. (Side length)
b. Write the ratio of the perimeters in the order New:Original.
c. Write the ratio of the areas in the order New:Original.
Answers
Answer:
Step-by-step explanation:
7m ÷ 2 = 3.5mPart A: New square is 3.5-meter by 3.5-meterThe original square's perimeter is 7x4=28-meter.The new square's perimeter is 3.5x4=12-meterPart B: The ratio is 12:28 or 3:7The original square's area is 7²=49 meter²The new square's area is 3.5²=12.25 meter²Part C: The ratio is 49:12.25Find the quotient of these complex numbers. (3 + 3i) / (5 + 4i) =
Plz help
Answers
Answer:27/41+3/41i
Step-by-step explanation:
Just finished this problem
Answer:
guy above correct via A P E X
Step-by-step explanation:
THIS IS TO ALL THE PEOPLE ANSWERING WITH UN KNOWN LINKS
Answers
Answer:
right i hate that so much
Step-by-step explanation:
Answer:
I feel the same though. So no need to feel bad. I hope you don't get scammed by anymore of them. BTW I have some more information on them on some of my questions if you wanna look. :) If they are still there though. Lol...
Como leer el decimal 0.000000215
Answers
Answer:
cero con doscientas quince mil millonésimas
Step-by-step explanation:
find the volume of the cylinder!
Use 3.14 for pi-
round your answer to the tenths place !!
Will mark b if correct:)
Answers
(sorry if it’s wrong)
Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is
Answers
Just a bit help here, heh... -8a^0?
Answers
Answer:
-8 is the answer
Step-by-step explanation:
BCos any number or letter raised to the power zero is 1
-8*a⁰
-8*1
-8
A city has a population of 2,549,786 people. Written as the product of a single digit and a power of ten, this number is 3 x 10 to what power? *
Answers
Answer:
3 x 10^6
Step-by-step explanation:
Answer:
3 x 10^6
Step-by-step explanation:
What's the constants of 5x + 4 + 7x
Answers
the constant / the answer is 4
Answer:
4
Step-by-step explanation:
the constant is a number that never changes
Tell whether xy = 8 shows direct variation, inverse variation, or neither.
Answers
Answer:
inverse
Step-by-step explanation:
y = k/x indicates inverse variation, which is the same as xy = k
in this particular problem, k = 8
Elijah is going to invest in an account paying an interest rate of 5.5% compounded
continuously. How much would Elijah need to invest, to the nearest hundred dollars,
for the value of the account to reach $1,400 in 16 years?
Answers
Answer
she will need to invest 77 dllors
Step-by-step explanation:
Change this fraction into a decimal: 20/25
.8
.08
.008
.0008
Answers
20/25 = 4/5 = 80% = .8
Answer:
0.8
Step-by-step explanation:
20/25=80/100=0.8
best describes her chances of rolling 12 in one try?
A certain
D Impossible
B likely
e unlikely
*29. a. Multiple Choice which of these Venn diagrama illustrates the
relationship between squares () and rhombuses (R)?
A
D
R
Explain Explain your answer for part a.
90. The
Answers
Choose the <,>,= symbols to answer the question
Answers
Answer:
1. >
2,<
3.<
4.>
5,>
6.<
7.>
8.>
Step-by-step explanation:
..
A cone has a height of 4 inches and a
circumference at the base of 121 inches.
What is the approximate volume of the cone?
Answers
Answer:
Approximately 1553.83
