The polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x
What is standard form of a polynomial?Suppose the considered polynomial is of only one variable.
Then, the standard form of that polynomial is the one in which the terms with higher exponents are written on left side to those which have lower exponents.
What are terms in polynomials?Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.
Example:
[tex]x^3 + 3x +5[/tex]
is a polynomial consisting 3 terms as [tex]x^3, 3x \: \rm and \: 5[/tex]
Cheking all the options for them being in standard form or not:
Option 1: [tex]x^2 + 4x^4 + 10x^6[/tex]Second term has 4 as exponent, but on its left, the first term has 2 as exponent. So higher expoent holding term is not on left. Thus, this polynomial is not in standard form.
Option 2: [tex]x^4 + 4x^3 + 10x[/tex]4 > 3 > 1 (comparing the exponents), and the terms holding them are also in this order (left to right).
Thus, this polynomial is in standard form.
Option 3: [tex]x^7 + 4x^3 + 10x^4[/tex]Not in standard form because the last term has bigger power then the term on its left.
Option 4: [tex]x^6 + 4x^3 + 10x^7[/tex]Not in standard form because the last term has bigger power then the term on its left.
Thus, the polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x
Learn more about standard form of a polynomial here:
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Determine the value of the angle.
Angle ADF=
Answer:
90 degree
Step-by-step explanation:
we can see that angle adf is a right angle which means it's value is 90 degree
Solve. 3x+2=17
Question 7 options:
x=2
x=5
x=8
x=4
Answer:
X = 5
Step-by-step explanation:
3x + 2 = 17
3x = 7-2
3x = 15
x = 5
Answer:
x=5
Step-by-step explanation:
3x+2=17
or,3x=17-2
or,3x=15
or,x=15/3
or,x=5
The scale on a map is 1 cm for every 400 km. If Maine and Japan are 26cm apart on the map, what is the distance between Maine and Japan
y=x^2-8x+6 complete the square to determine the vertex and maximum or minimum value. Determine the number of x-intercepts.
Answer:
Below in bold.
Step-by-step explanation:
y = x^2-8x+6
y = (x - 4)^2 - 16 + 6
y = (x - 4)^2 - 10
So the vertex is at (4, -10)
The coefficient of x^2 of this function is 1 ( positive) so there will be a minimum value.
Minimum value = -10.
x-intercepts:
(x - 4)^2 - 10 = 0
(x - 4)^2 = 10
x - 4 = +/- √10
x = 4 +/- √10
- therefore there are 2 x-intercepts.
(redo for the mistake) + 5 points (also how do I delete may last mistake)
The picture below shows rhombus ABCD with side length 3.16. EC=1 and ED=3.
Find the area of ABCD
Answer:
6
Step-by-step explanation:
The Rhombus is made up of 4 right triangles. To find the area of a right triangle, you have to multiply the length and width and divide it by 2.
1 triangle; 1.5
all triangles; 6
The Area of the Rhombus is 6!
Hope This Helps! :) Please give brainliest if you can!
Write an equation in slope intercept form for the line with slope 3/2 and y intercept -8
Answer:
[tex]y=\frac{3}{2}x-8[/tex]
Step-by-step explanation:
We can use the definition of slope-intercept form to answer this:
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
So all we do is stick in the numbers and we get:
[tex]y=\frac{3}{2}x - 8[/tex]
What is the perimeter?
Answer:
30 m is the original, and 60 m would be expanded
Step-by-step explanation:
perimeter=l+w+l+w so 12+3+12+3=30 and you could multiply that by 2 to make it 60m i believe
Hello people ~
factorise : 3x² + 10x + 8
Answer:
(x + 2)(3x + 4)
Step-by-step explanation:
3x² + 10x + 8
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 8 = 24 and sum = + 10
the factors are + 6 and + 4
use these factors to split the x- term
3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )
= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term
= (x + 2)(3x + 4) ← in factored form
[tex]\\ \rm\Rrightarrow 3x^2+10x+8[/tex]
[tex]\\ \rm\Rrightarrow 3x^2+6x+4x+8[/tex]
[tex]\\ \rm\Rrightarrow 3x(x+2)+4(x+2)[/tex]
[tex]\\ \rm\Rrightarrow (3x+4)(x+2)[/tex]
Done!
Use the point-slope form of a line to write the equation of
a line that has a slope of 2 and passes through the point
(4,3). Write the equation in slope-intercept form.
Answer:
y=2x-5
Step-by-step explanation:
Hi there!
We are given that a line has a slope of 2, and passes through the point (4,3)
We want to use point-slope form to find this equation of the line, yet we want to write this in slope-intercept form
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
As we are already given the slope and a point, we can substitute these values into the formula to find the line.
First, substitute 2 as m in the equation:
[tex]y-y_1=2(x-x_1)[/tex]
Now substitute 4 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex]
[tex]y-3=2(x-4)[/tex]
This is the equation of the line in point-slope form.
Now we need to write it in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
We can actually get to slope-intercept form from point-slope form.
First, distribute 2 to both x and -4 on the right side
y-3=2x-8
Now add 3 to both sides
y=2x-5
Hope this helps!
What is the mean of 75,14,48,81,39,67,33,19
Answer:
47
Step-by-step explanation:
To find the mean, you sum all the numbers, then count the number of numbers you summed up (amount of numbers in the array which in this case is 8) and then divide the two. So you get
Σarray/arraysize = 75+14+48... / 8
Answer:
Mean = 47
Step-by-step explanation:
Given terms :
7514488139673319The mean is equal to the sum of the terms divided by the number of terms.
Therefore, the mean is equal to :
75 + 14 + 48 + 81 + 39 + 67 + 33 + 19 / 8 [Take terms that add up to 100, makes it easier to calculate!]100 + 100 + 89 + 87 / 8200 + 176 / 8376/8Mean = 47x² + 5x + 6
Factor each polynomial.
I’m in need of help
Answer: 196 degrees
Step-by-step explanation:
PLEASEEEEE HELPPPPPPP ASAPPPPPPPPPP
Answer:
Its is 405 gallons
Step-by-step explanation:
If you need an explanation lmk!!!
Answer:
405 gallons
Step-by-step explanation:
The formula to find the amount of water is g=9m-0.17, so 45 is gonna go into the m spot
g=9(45)-0.17
g=405-0.17 <-After you multiply 9 and 45
g=404.83
Now you must round to nearest whole which is 405
I hope this helps
In a class of 32 students 3/8 of the students walk to school. How many students in the class walk to school?
Answer:
9
Step-by-step explanation:
divide 32 by 3/8.
that is 1..3333
into a number that would be 9
Which of the following equations is the result after the first step in solving 5x – 4 = 15?
A 5x = 19
B x = 2
C 5x = 11
D x – 4 = 3
Answer:
[A} 5x = 19
Step-by-step explanation:
Let's solve to see what the first step in solving the following equations:
5x - 4 = 15
Add 4 to both sides
5x - 4 + 4 = 15 + 4
5x = 19 {First step after solving}
Divide both sides by the same factor
5x/5 = 19/x
x = 3.8
Thus, the answer is [A] 5x = 19
Kavinsky
Answer:
[A] 5x = 19
Step-by-step explanation:
Solving to see first step:
5x - 4 = 15
+4 +4 {15 + 4 = 19}
-------------------------
5x = 19
Divide both sides by 5
5x/5 = 19/5
x = 19/5
x = 3.8
As you can see 5x = 19 is the first step result after solving.
~Lenvy~
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Answer:
6a²
Step-by-step explanation:
6×5² = 6×25 = 150cm²
thank you
Answer:
150 centimeters cubed
Step-by-step explanation:
[tex]6x2^2= 150[/tex]
Mike invests $4000 in an account that earns 3% annual interest. How much money will there be in the account after 3 years if the interest is compounded semi-annually?
Answer:
$4786.72
Step-by-step explanation:
4000(1+0.03/6)^12(3)
Use this formula to find the compounded interest after each 6 months, which would have an interest rate used to increase the amount of money.
Calculate the perimeter of the figure
Answer:
76
Step-by-step explanation:
4+4+4+4+4+4+8+8+18+18 = 76
there are 3 numbers in ascending order such that the difference of first two is 10 and that of last two is 12. if the sum of three numbers is 47, find the least number.
Answer:
17/3
Step-by-step explanation:
x + y + z = 47
y - x = 10 x = y - 10
z - y = 10 z = 10 + y
y-10 + y + 10 + y = 47
3 y = 47
y = 47/3 x = 17/3 z = 77/3
Answer:
5
Step-by-step explanation:
Suppose n represents the number of multiple-choice questions answered correctly on a 20-question test, The function f(n) represents the points earned on the test, where each question is worth 5 points with no partial credit.
a) Define the function f(n).
b) What is an appropriate domain?
c) What is the range?
Answer:
A)Let's let M = the number of Multiple choice problems and
N = the number of essay questions.
B)Also, since there are 36 questions altogether, we can say that
M + N = 36
So, therefore
M = 36 - N
Step-by-step explanation:
Hope this helped I couldn’t get C very confusing.
A circle has an area of 155 square feet. What is the approximate radius of the approximate radius of the circle?
Answer:
7.02ft
Step-by-step explanation:
Braxton sold lemonade to earn
money for a new bicycle. After
selling 12 cups of lemonade, he
had earned $9. Based on this
information, what is the constant
of proportionality?
A) 12
B) 1.75
C) 1.33
D)0.75
Answer:
ok so this sounds kind of fancy but constant of proportionality just mean cups sold by amount made
9/12=0.75
so c
Hope This Helps!!!
Consider parallelogram VWXY below.
Use the information given in the figure to find m∠YXV, m∠Y, and x.
Answer:
56°, 84°, 3 unitsStep-by-step explanation:
Properties of a parallelogram
Two adjacent angles are supplementaryOpposite angles are congruentOpposite sides are parallel and congruentUse the properties to find the required parameters
1) Find m∠YXV
m∠YXV + m∠VXW + m∠VWX = 180°m∠YXV + 40° + 84° = 180°m∠YXV = 180° - 124°m∠YXV = 56°2) Find m∠Y
m∠Y = m∠W = 84°3) Find x
2x = 6x = 6/2x = 3Answer:
m∠YXV = 56°
m∠Y = 84°
x = 3
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
⇒ m∠W + m∠WVX + m∠VXW = 180°
⇒ 84° + m∠WVX + 40° = 180°
⇒ m∠WVX = 56°
As VW ║ YX and YV ║ XW then m∠WVX = m∠YXV
So m∠YXV = 56°
In a parallelogram, opposite angles are congruent
⇒ m∠Y = m∠W
⇒ m∠Y = 84°
In a parallelogram, opposite sides lengths are congruent
⇒ VW = YX
⇒ 2x = 6
⇒ x = 6 ÷ 2
⇒ x = 3
8/15 as a decimal rounded to the nearest hundreth
Answer:
0.53
Step-by-step explanation:
A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.
8÷15 = 0.5333333...
Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.
8/15 ~= 0.53
Use point-slope form to write the equation of a line that has a slope of and passes through (-3,-1). Write your final equation in slope-intercept form. Show work
Answer:
so u have to shoe ur work right? so (-3,-1)=(-2,4-) there
Step-by-step explanation:
y=4x-1+
y = 3x +7
i don’t know how to do this and i need steps on how
i need help!!! please help me
Answer:
2nd and 4th option
Step-by-step explanation:
The equivalent expression is,
⇒ 4 (5 - 2d)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 20 - 8d
Now, We can simplify the expression as;
⇒ 20 - 8d
⇒ 4 x 5 - 4 x 2d
⇒ 4 (5 - 2d)
Thus, The equivalent expression is,
⇒ 4 (5 - 2d)
Learn more about the mathematical expression visit:
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Who is correct Jared or Jim?
Answer:
b) Jim
Step-by-step explanation:
Given the angle measures lf Jared's triangle, Jim can draw one that is similar. However he cannot draw one that is congruent without knowing the measure of at least one side.
__
Jim is correct that he needs more information.
In a class of 10 students, what is the mean and standard deviation of the number with 20-20 vision in the class
Please help Will give BRAINLIEST !!! :)
Answer:
D no. is for sure another I also don't know. So sorry.......