Answer:
5th degree polynomial
Step-by-step explanation:
The degree of a polynomial is the highest sum of the exponents in one term.
So we have the polynomial:
[tex]6xy^4-3x^3-4[/tex]
Calculate the degree of each term:
1st Term:
[tex]6xy^4[/tex]
This is the same as:
[tex]6x^1y^4[/tex]
So, our degree is 1+4=5.
2nd Term:
[tex]-3x^3[/tex]
There is only one variable. So, the degree is 3.
3rd Term:
[tex]-4[/tex]
This is the same as:
[tex]-4x^0[/tex]
So, this is a zeroth degree.
The largest degree is 5.
So, this is a fifth degree polynomial.
Notes:
To be more specific, this is a fifth degree trinomial.
Answer:
third degree
Step-by-step explanation:
it is a third degree polynomial because the equation is considered cubic. cubic means to the 3rd power. its cubic because there's three parts to the equation
Two functions represent the composite function h(x) = (x – 1)³ + 10 so that h(x) = (g compose f)(x). Given f(x) = x + a and g(x) = x³ + b, what values of a and b would make the composition true? a = b =
Answer:
a = -1 and
b = 10
Step-by-step explanation:
Given:
h(x) = (x – 1)³ + 10
h(x) = (g compose f)(x).
f(x) = x + a and
g(x) = x³ + b
To find:
The values of a and b = ?
Solution:
First of all, let us have a look at the composite functions.
(g compose f)(x) means we replace the value of [tex]x[/tex] with [tex]f(x)[/tex] in the function [tex]g(x)[/tex].
We know that:
[tex]g(x) =x^3+b[/tex] and
[tex]f(x) = x + a[/tex]
Let us find (g compose f)(x) by replacing [tex]x[/tex] with [tex]x+a[/tex]
[tex](g\ compose\ f)(x) = (x+a)^3+b[/tex]
Also, h(x) = (g compose f)(x) = (x – 1)³ + 10
Therefore,
[tex](x - 1)^3 + 10 = (x+a)^3+b[/tex]
Comparing the corresponding elements of the above expressions:
we get a = -1 and
b = 10
Answer:
a: -1
b: 10
edge 2020
Y varies jointly with x. Y=16 when x=4 and z=1/2. Find y when x=2 and z=1/4. Enter the value of y in the box. Picture attached, 15 points and I'll give Brainliest! Due in two hours.
Answer:
y = 4
Step-by-step explanation:
Given that y varies jointly with x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 16 when x = 4 and z = [tex]\frac{1}{2}[/tex] , that is
16 = k × 4 × [tex]\frac{1}{2}[/tex] = 2k ( divide both sides by 2 )
8 = k
y = 8xz ← equation of variation
When x = 2 and z = [tex]\frac{1}{4}[/tex] , then
y = 8 × 2 × [tex]\frac{1}{4}[/tex] = 16 × [tex]\frac{1}{4}[/tex] = 4
Which situation is an example of an observational study?
O A. Testing the effectiveness of a mouthwash by allowing one group
to use it and comparing the results with those of a group that
doesn't use it
O B. Dividing a class into thirds, giving each third a different amount of
time to read, and then testing comprehension
O C. Collecting the blood pressure readings of a group of elderly
individuals in a small town
O D. Having customers fill out a questionnaire about their favorite
brand of toothpaste
The situation that is an example of an observational study is " Having customers fill out a questionnaire about their favourite brand of toothpaste".
What is an observational study?When researchers monitor the effect of a risk factor, diagnostic test, therapy, or other intervention without attempting to influence who is or is not exposed to it in observational studies.
For example: Consider someone standing on a popular street in a New York neighbourhood asking passers-by how many dogs they have, then analyzing the data to see if more pet food businesses are needed in the area.
As we know that in an observational study, the sample whose test/survey is been taken is completely random.
Therefore, the situation that is an example of an observational study is " Having customers fill out a questionnaire about their favourite brand of toothpaste".
Learn more about Observational Study:
https://brainly.com/question/5001950
Answer: C
Step-by-step explanation: Collecting the blood pressure readings of a group of elderlyindividuals in a small town
dy/dx of sinx is what???
Step-by-step explanation:
The derivative of sin x with respect to x is cos x.
d/dx (sin x) = cos x
Answer:cos x
Step-by-step explanation:
Help me please I will give you brainliest btw I need this asap
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(5)) ?
Answer:
-13
Step-by-step explanation:
As per the order of operations, you do the parentheses first. g(5) is inside the parentheses of f(g(5)).
g(5) = -3(5) +5 = -10
Then ...
f(g(5)) = f(-10) = 2(-10) +7
f(g(5)) = -13
If h(x)=x^2-5x, g(x)=2x, f(x)=3x-2, what is h(f(g(x)))
Step-by-step explanation:
start from f(g(x))
f(g(x))= 3(g(x)) -2
f(g(x))= 6x -2
h(f(g(x)))=(f(g(x)))² -5(f(g(x)))
h(f(g(x)))=(6x-2)² -5(6x-2)
h(f(g(x)))=36x²-24x+4-(30x-10)
h(f(g(x)))=36x²-24x+4-30x+10
h(f(g(x)))=36x²-54x+14
equation álgebra
3x^2 = 12
a. +3
b. +2
C. +3.5
d. +1.5
Answer:
x=-2,2
Step-by-step explanation:
Since this is a quadratic equation, -2 or 2 could be the possible answer
Steps
$3x^2=12$
$\mathrm{Divide\:both\:sides\:by\:}3$
$\frac{3x^2}{3}=\frac{12}{3}$
$\mathrm{Simplify}$
$x^2=4$
$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$
$x=\sqrt{4},\:x=-\sqrt{4}$
Show Steps
$\sqrt{4}=2$
Show Steps
$-\sqrt{4}=-2$
$x=2,\:x=-2$
what's 43 to the nearest hundred
Answer:
0
Step-by-step explanation:
43 rounded to nearest hundred is 0 because 43 is more closer to 0 than to 100.
if a+b+c=2 , ab+bc+ac= -1 and abc = -2 , then find the value of a^3 + b^3 + c^3
Answer: 8
Step-by-step explanation:
EQ1: a + b + c = 2 --> b + c = 2 - a
EQ2: ab + bc + ac = -1 --> b + c = (-1 - bc)/a
EQ3: abc = -2 --> bc = -2/a
Set EQ1 = EQ2 and substitute bc using EQ3 to solve for "a":
[tex]2-a=\dfrac{-1-bc}{a}\\\\\\\text{Clear the denominator:}\\a(2-a)=-1-bc\\\\\text{Substitute bc:}\\a(2-a)=-1-\dfrac{-2}{a}\\\\\\\text{Clear the denominator:}\\a^2(2-a)=-a+2\\\\\\\text{Simplify and set equal to 0:}\\2a^2-a^3=-a+2\\0=a^3-2a^2-a+2\\\\\text{Factor:}\\0=a^2(a-2)-1(a-2)\\0=(a^2-1)(a-2)\\\\\text{Solve for a:}\\a^2-1=0\qquad a-2=0\\a=\pm1}\qquad \qquad a=2[/tex]
Consider the solution a = 2 and plug it into EQ1 to solve for "b"
b + c = 2 - 2
b + c = 0
b = -c
Plug in a = 2, b = -c, and c = c into a³ + b³ + c³
2³ + (-c)³ + c³
= 8 - c³ + c³
= 8
solve the equation 7+4y=39
Answer:
y = 8Step-by-step explanation:
[tex]7+4y=39\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\7+4y-7=39-7\\\\\mathrm{Simplify}\\4y=32\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4y}{4}=\frac{32}{4}\\\\Simplify\\y =8[/tex]
Answer:
y = 8
Step-by-step explanation:
7 + 4y = 39
Rearrange:
4y + 7 = 39
Subtract 7 from both sides:
4y + 7 = 39
- 7 -7
4y = 32
Divide both sides by 4:
4/4 = y
32/4 = 8
y = 8
CAN SOMEONE PLEASE HELP ME FIND THE AREA OF A HEXAGON
Answer:
the answer is 57.12
Step-by-step explanation:
so the area of the rectangle is 74.24, thats where you get the 8 x 9.28, which is important. so next we're going to go is 9.28-5 which equals 4.28, and that is what the total bottom of 2 triangles would be, (if you drew a rectangle around it). the you would divide 4.28 by 2 to get 2.14, which is the value of 1. next you do 2.14 x 4 and get 8.56. then divide 8.56 by 2 and get back to 4.28. you take 4.28 and multiply it by 4 to get 17.12. from there on you do, 74.24 - 17.12 and get 57.12.
PLEASE help me on this it’s GEOMETRY DO NOT waste my answers PLEASE help me it’s URGENT
Answer:
Step-by-step explanation:
I think it's B (GBF=ECF) but I could be wrong. I only took geometry last year but I think that's your best option... good luck!
BD is the bisector of LABC.
m_ABD = 2x + 7
m2 DBC = 3x – 17
Solve for x and find m2 ABD.
Answer:
x= 24, <ABD = 55°
Step-by-step explanation:
The way I go to x=24 is in the picture, but to find <ABD is a piece of cake, just take its value (2x+7) and replace the x with 24 and then you will get 55°
Glad to help :)
Ms. Perez’s biology class continued to grow sunflowers. During the second week, the average sunflower grew 2.2 inches. The table shows the difference from the average for four students.
Answer:
4/5=0.8
-1 1/2= -1.5
The greatest number is=1.3
Mia, Raj, Clara, Jacob
Answer:
4/5 is equal to 0.8
-11/2 is equal -1.5
The greatest number is 1.3
The students names Mia, Raj, Clara, Jacob
Step-by-step explanation:
I took the assignment. Hope this helps! :)
Please answer for me way to hard for me its pre algera
Answer:
It probably has to deal with a joke or som10.
Step-by-step explanation:
Answer:
1. I
2. R
3. R
4. I
5. W
6. I
7. W
8. I
Step-by-step explanation:
what is 4.414*10’9 in standard form
Answer:
4,414,000,000
Step-by-step explanation:
4.414x10^9, move the decimal place 9 places to the left.
Answer:
4,414,000,000
Step-by-step explanation:
4.414 x 10⁹
= 4.414 x 1,000,000,000
= 4,414,000,000
4/q divided by 2/3 solve the equation
Answer:
4/q÷2/3.
4/q×3/2.
=6/q.
Answer:
4/q ÷ 2/3
This can also be said as
4/q × 3/2 = 0
= 12/2q = 0
= 12 = 2q
= q = 12/2 = 6
Susan is buying supplies for a party. Spoons only come in bags of 2 and forks only come in bags of 16. What is the least number of spoons and the least number of forks she can buy so that she has the same number of each?
Answer:
She needs to get 8 bags of spoon and 1 bag of fork
Step-by-step explanation:
Here in this question, we want to know the least number of spoons and the least number of bags to be bought so that there are same number of each.
Basically, to calculate this, we need the lowest common multiple of 16 and 2. The lowest common multiple of both is 16 (2 is a factor of 16)
So the lowest number of each she can buy to have the same number of pieces is 16.
Kindly recall that spoons come in bags of 2. So to achieve the 16, she needs 8 bags.
Since fork comes in bag of 16, to achieve 16, she only need a single bag of fork.
Jason is making punch by mixing of a cup of orange juice and of a cup of mango juice. He wants to mix the orange juice and mango juice in the same ratio to make 21 cups of punch. Use the table to determine how many cups of orange juice and mango juice he will need.
Step-by-step explanation:
the answer is 42 because 2 times the 21 equals 42
What number should be in the blank box?
Answer:
22
Step-by-step explanation:
Add every other number and it equals the next in line.
2 + 5 = 7
3 + 7 = 10
5 + 10 = 15
7 + 15 = 22
And as proof of concept:
10 + 22 = 32
Answer:
22! Mark the other answer brainleist!
Step-by-step explanation:
2+5 = 7
3+7 = 10
7 + 15 = ?
15 + ? = 32
? must be 22!
ns
What personal qualities do you think Rudolph displayed to help her challenge people's
expectations?
pok
how do I find the value of x for a triangle
Answer:
a+b+c=180
Step-by-step explanation:
If you already have the first 2 values, add them together and subtract that number from 180. The total of all angles added together should always equal 180.
Answer:
a+b+c= 180
Step-by-step explanation:
help fast pls i dont have much time
Answer:
5 yards
Step-by-step explanation:
4(-8x + 5) – (-33x – 26)
Answer:
1x+46 is the answer
Step-by-step explanation:
=4(-8x + 5) – (-33x – 26)
opening brackets to simplify
=-32x+20+33x+26
=-32x+33x+20+26
=1x+46 is the answer
hope it will help :)
Answer:
x+46
Step-by-step explanation:
4(-8x + 5) – (-33x – 26)
The first step is to distribute and simplify.
4 distributed to -8x will be -32x, and same thing goes with 5, which is 20.
-
The first part of the equation is -32x+20
Now, this is where it gets confusing.
If there is a sign before a pair of parentheses, you always put 1. In this case, it's -1 distributed to -33x and -26.
So, the second part of the expression will be +33x+26
The whole expression is
-32x + 20 + 33x + 26
add like terms, -32x+33x= x.
20+26=46.
The answer is x+46.
why is -15/3 classified as an integer and not a rational number, even though it is a fraction.?
Answer:
see below
Step-by-step explanation:
Can we simplify the number
-15/3 simplifies to -5, which is an integer
We categorize the number to its smallest category and integer contains less than rational
Can someone please tell me what this means? I don’t understand this will give brainliest please help
Answer:
1/2 of the dots
Step-by-step explanation:
The number of dots in a 5 by 8 array is 5*8 = 40 dots
The number of dots in the t is 20
faction = part/ whole
20/40 = 1/2
its 1/2
8x5=40
40/20=1/2
A washer and a dryer cost $600 combined. The cost of the washer is three times the cost of the dryer. What is the cost of the dryer?
Answer:150
Step-by-step explanation:
600/4=150 (150)3=450 450+150=600
Answer: 150 dollars
Step-by-step explanation: Because the dryer is equal to washer divided by 3 you can substitute Washer/3 in the equation
W+ W/3=600
multiply both sides by 3
3W+W=1800
4W=1800
Divide both sides by 4
The answer to W is 450 dollars which you then divide by three to get 150 dollars
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Answer:
It would be B. Fuction 1 has the larger maximum at (4,1) because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
You want to put a logo on each cell phone holder you make. Sew-on logos cost 2.30 for 10. Stick-on logos cost 9.40 for 100. Divide the cost by the number of logos for both types
Answer:
[tex]Rate = \$0.23[/tex] and [tex]Rate = \$0.094[/tex]
Step-by-step explanation:
Given
Sew-on logos
Cost = $2.30
Units = 10
Stick-on logos
Cost = $9.40
Units = 100
Required
Divide cost by units, in both cases
When we divide cost by units, it gives the unit rate.
i.e.
[tex]Rate = \frac{Cost}{Units}[/tex]
FOR SEW-ON LOGOS
Substitute $2.30 for Cost and 10 for Units
[tex]Rate = \frac{\$2.30}{10}[/tex]
[tex]Rate = \$0.23[/tex]
FOR STICK-ON LOGOS
Substitute $9.40 for Cost and 100 for Units
[tex]Rate = \frac{\$9.40}{100}[/tex]
[tex]Rate = \$0.094[/tex]
Hence, the solution is
[tex]Rate = \$0.23[/tex] and [tex]Rate = \$0.094[/tex]