Answer: a and c are polynomials, b is not.
Step-by-step explanation:
A polynomial p(x) is written as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰
where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.
Notice that the powers need to be always natural numbers.
Now, let's analyze the options:
a) 3*x - 2
We can rewrite this as:
3*x¹ - 2*x⁰
Then this is a polynomial.
b) p² + 1/p (in this case the variable is p)
the second term can be written as:
1/p = p⁻¹
Then we have a term with a negative power of p, this means that this is not a polynomial.
c) 3*y² - 2*y/3 + 1
Same as in the first case, we can rewrite this as:
3*y² - (2/3)*y¹ + 1*y⁰
This is a polynomial.
On a long hike, Greg forgets to fill his canteen. Fortunately, Harold has 40 ounces of water and jake has 60 ounces. The three hikers share water so that each gets an equal amount. At the end of the hike, Greg gives Harold and Jake $5 to split for the water they gave him. How much should Harold and Jake get?
Answer:
Jake should get $3 because he would have given more water since he had the most out of all of them. Harold should get $2 because he gave less water
Step-by-step explanation:
The amount that Harold and Jake will get is $2 and $3, respectively.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Harold has 40 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,
Amount of water = Total water / Number of persons
= 40 ounces of water / 3 person
= (40/3) ounces per person
Thus, Greg will get (40/3) ounces of water from Harold.
Similarly, Jake has 60 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,
Amount of water = Total water / Number of persons
= 60 ounces of water / 3 person
= (60/3) ounces per person
Thus, Greg will get (60/3) ounces of water from Harold.
Further, Harold and Jake will get the money in the ratio of the amount of water they shared, therefore, we can write,
(40/3)x + (60/3)x = $5
(40x + 60x)/3 = 5
100x = 5 × 3
x = 15/100
Furthermore, the money each of two will get is,
Amount that Harold will get,
(40/3)x
= (40/3) × (15/100)
= $2
Amount that Jake will get,
(60/3)x
= (60/3) × (15/100)
= $3
Hence, the amount that Harold and Jake will get is $2 and $3, respectively.
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Can you help with both questions please :)
Answer:
X(4x+x^2)
Step-by-step explanation:
First the LCM is x
Now just distribute
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer: 3/16
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
What is the value of |a-b|?
Answer:
|3+2|=5
Step-by-step explanation:
2x+1=5
2x+=-5
x=2
x=-3
a= -3, b=2
Convert 0.263 repeating (the 63 are repeating) into a fraction.
Answer:
[tex]\frac{29}{110}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 63 placed after the decimal point
let x = 0.2636363.... ( multiply both sides by 10 and 1000 )
10x = 2.6363... → (1)
1000x = 263.6363.... → (2)
Subtracting (1) from (2) eliminates the repeating value, that is
990x = 261 ( divide both sides by 990 )
x = [tex]\frac{261}{990}[/tex] = [tex]\frac{29}{110}[/tex] ← in simplest form
The number n = 0.263 as a fraction is A = 263/999
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the number be represented as n = 0.263
Now , the Let x = 0.263636363 repeating
Multiply both sides by 1000 to move the decimal point to the right:
1000x = 263.636363 repeating
Subtract x from both sides:
999x = 263
Divide both sides by 999:
x = 263/999
Hence , 0.263636363 repeating is equivalent to the fraction 263/999
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Need help on this please and thank you
Answer:
(1,9)
Step-by-step explanation:
4. An annual pass covering emtrance fees to more than
2,000 national parks costs $80. If the total income from
the annual passes is $12,800 in one month, which equation
can you use to find the number of passes purchased that month?
F. 12,800p = 80
H. 80p = 12,800
G. 12,800 – p = 80
J. 80 + p = 12,800
Answer:
Search it up
Step-by-step explanation:
Someone already answered it on brainly
Please help a bruddah out its 8 pm and I'm grinding on schoolwork.
proof im actually 15 ANNIE
Answer:
.
Step-by-step explanation:
Answer:
????
Step-by-step explanation:
lol can I pls get brainliest
A diver went down 25.55 feet below the surface of the ocean, and then 11.5 feet further down, he then rose 12.25 feet. Enter and solve an expression to find the diver's new depth.
Answer: it would be 24.8ft
5,423,000 divided by 100,000 ( Please help ASAP)
Answer:
54.23
Step-by-step explanation:
i just divided in calculator
Ivan in inventory has a whole bunch of numbers just sitting around. He wants to build a “Multiples of 2” set in his free time. How can he tell which numbers belong in this set?
Answer:
If they are divisible by 2
Step-by-step explanation:
:))
like ex.
2 4 6 8 10 12
Lucy has a variety of socks in her laundry basket. Without looking, she selects one sock, then
a second.
Are these two events dependent or independent?
Answer:
This is dependent because it depends what sock she picked out first. It would be independent if she put the pulled out sock back into the container
() = 5
3 + 2
2 + − 2; = −1
2. The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers aj set up the variables (2 marks) Let Then represent the first number will represent the second number b) What is the equation that represents the above situation? (2 marks) c) Solve the equation. (2 marks)
Answer:
Larger number = 34
Smaller number = 17
Step-by-step explanation:
Given that:
Sum of numbers = 51
Let,
x be the larger number
y be the smaller number
According to given statement;
x+y=51 Eqn 1
x = 2y Eqn 2
Putting x=2y in Eqn 1
2y+y=51
3y=51
Dividing both sides by 3
[tex]\frac{3y}{3}=\frac{51}{3}\\y=17[/tex]
Putting y=17 in Eqn 2
x=2(17)
x=34
Hence,
Larger number = 34
Smaller number = 17
PLS HELP AND EXPLAIN THE ANSWER
Answer:
the answer is d!! I hope it helped please lmk if not
what's the value of x 16x+9
Answer:
x2+16x=9 x 2 + 16 x = 9. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b . (b2)2=(8)2 ( b 2 ) 2 . x^2+16x+9=0
Step-by-step explanation:
if this is not
Bagels at Walmart are 4 bagels for $3.00. What is the unit rate?
Answer:
0.75 per bagel
Step-by-step explanation:
$3.00 divided by 4 bagels is 0.75 cents for a bagel
A cylinder has a total surface of 3,41946cm2 and a diametre of 0,66cm. What is its height? Step by step
Answer:
Total surface Area(A) = 2pi*r(r+h)
Diameter D= 2r
r=0.66/2=0.33cm
A=3.41946
3.41946=2*3.143*0.33(0.33+h)
3.41946=2.0744(0.33+h)
3.41946/2.0744=(0.33+h)
1.6484=0.33+h
1.6484-0.33=h
h=1.3184cm
Step-by-step explanation: Total surface area is different from area around the cylinder.
ASAp question in pic
Answer:
B and E
Step-by-step explanation:
They have different slopes so of course they will have to intersect at least 1 time. And if they were curved, it would be more than 1. But these are lines so it would be just 1 intersection. So B is one of the answers.
The solutions of the system are x = 0 and y = 2
I hope this helped, please mark me brainliest!
Step-by-step explanation:
y = 2x + 2 and y = 6x + 2
=> 2x + 2 = 6x + 2
=> 2x = 6x
=> 4x = 0, x = 0.
Therefore y = 2(0) + 2 = 2.
The point of intersection is (0, 2).
Hence there is exactly 1 point of intersection and exactly 1 real solution. (B and E)
Is this a linear function
х
-2
-1
0
2
HIO
у
3
5
7
11
Answer:
yes it is a linear function
Step-by-step explanation:
Don't trust me but trust me-
can someone pls help me i need to know what is 2x - 1 = 7
Answer:
The solution for x would be 4.
Step-by-step explanation:
2x - 1 = 7
The value of x is unknown, but you do know that you are multiplying 2 by x. So, if you rewrite the equation as 7+1=2x, you know that 8=2x. If you then divide both sides by 2, you're left with 4=x which would mean that the variable x has a solution of 4
please help with thisss
Answer:
11, 17
Step-by-step explanation:
The difference between -7 and -1 is +6, and -1 and 5 is +6 as well. So 5+6 = 11
and 11 + 6 = 17
i need help plz!!!! i dont under stand
Answer:
Point Form:
( 0 , 3 )
Equation Form:
x = 0 , y = 3
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Help please, will mark you brainliest (Only if the answer is correct)
Answer:take numbers first, the Lcm is 24
Consider x, the highest power is 2
y, the highest power is 3
and z has 2 as its highest power.
:. The lcm is 24 x^2y^3z^2
Step-by-step explanation:
Answer:
this is me with another account, adding another anser just to mark you brainliest lol
Step-by-step explanation:
Simplify the numerical expression (15 - 3) x 2 + 10
Answer:
34
Step-by-step explanation:
Using PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction), we solve what's in the parentheses first, so the expression looks like: 12 x 2 +10.
Then since there aren't any exponents, we solve the multiplication problem in the expression: 24 + 10.
Which just leaves addition, which gives us our answer: 34
Hope this helps!
1
What California law did the U.S. Supreme Court recently overturn?
A
a law that required minors to stop playing violent video games
B
a law that made it a criminal offense to sell violent video games
С
a law that banned violent video games from all stores in California
D
a law that barred stores from selling violent video games to minors
A school purchases a used van that costs $10,000. The value, V(t), in dollars, of the van t years since its purchase is modeled by the exponential function V(t)=10,000(0.8)^t . Select ALL statements that are true regarding the value of the van. a.The value of the van decreases by 20% each year since its purchase. b.The value of the van decreases by 80% each year since its purchase. c.The value of the van decreases by $2,000 each year since its purchase. d.Each year since its purchase, the value of the van is 80% of the value of the previous year. e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Answer:
a.The value of the van decreases by 20% each year since its purchase.
b.The value of the van decreases by 80% each year since its purchase.
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Step-by-step explanation:
From the above question, we are given the Exponential function
V(t)=10,000(0.8)^t
Verifying the given options:
a.The value of the van decreases by 20% each year since its purchase.
Option a is correct , this is because, the Exponential function above is and Exponential Decrease.
The formula is given as:
V(t) = 10000(1 - r) ^t
Where r = Decreasing rate
Comparing
= 1 - r = 0.8
= 1 - 0.8 = r
r = 0.2
Converting to percentage
= 0.2 × 100 = 20%
Option a is correct
b.The value of the van decreases by 80% each year since its purchase.
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option b is correct
c.The value of the van decreases by $2,000 each year since its purchase.
Option C is incorrect
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Option d is correct because
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option d is correct
e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Option e is incorrect
From the options given in the question, the correct statements are,
Options a, b, and d.
WILL MARK YOU BRAINLIEST
Answer: p=122
Step-by-step explanation:
Answer:
P = 112⁰
see in the picture, MNPQ is a parallelogram
=> M = P
<=> 6x - 2 = 4x + 36
<=> 2x = 38
<=> x = 19
with x = 19 => P = 4.19 + 36 = 112⁰
Hi, please help me
c - 4d =
C= 10
D=2
It's algebra
Answer:
All you do is replace the variable with the numbers given to replace them.
So your new equation is 10-4(2) this was given to you C=10 , D=2
Okay, let's solve it 10-4(2)
4*2 equals 8 so now it's 10-8
10-8
= 2