Answers
Answer:
the leading coefficient of a polynomial is the coefficient of the term with the highest degree of the polynomial
so the answer should be the second one -7+6x+5x^2
Related Questions
what is the perimeter of the isosceles trapezoid
Answers
Answer:
The perimeter of this isosceles trapazoid is 49
Step-by-step explanation:
P = 11 + 14 + 2(12)
What is the solution to the following question
Answers
Answer:
3
Step-by-step explanation:
2(x + 1) = 3(5 - x) + 2
Distribute,
2(x + 1) = 3(5 - x) + 2
2x + 2 = 3(5 - x) + 2
Rearrange terms,
2x + 2 = 3(5 - x) + 2
2x + 2 = 3(-x + 5) + 2
Distribute,
2x + 2 = 3(-x + 5) + 2
2x + 2 = -3x + 15 + 2
Add the numbers,
2x + 2 = -3x + 15 + 2
2x + 2 = -3x + 17
Subtract 2 from both sides,
2x + 2 = -3x + 17
2x + 2 - 2 = -3x + 17 - 2
2x = -3x + 17 - 2
2x = -3x + 15
Add 3x to both sides,
2x = -3x + 15
2x + 3x = -3x + 3x + 15
5x = -3x + 3x + 15
5x = 15
Divide both sides by the same factor (15),
5x = 15
5x/5 = 15/5
x = 15/5
x = 3
Hence, the answer is 3.
Pickup a weighs about 1.,500 pounds pickup b weighs 685 kilogram’s which pickup actually weighs more
Answers
Answer:
pickup b
Step-by-step explanation:
Unit conversion :
1 kilogram is about 2.20462262 pounds
Solving :
⇒ Let's convert pickup b's mass into pounds
⇒ mass (pickup b) = 685 × 2.20462262
⇒ mass (pickup b) = 1510 pounds (approximately)
Clearly :
⇒ 1500 < 1510
⇒ mass (pickup a) < mass (pickup b)
Hence, pickup b weighs more.
Graph the inequality.
0 < y + 4x <6
Answers
After I graphed it gave me - y>−4x
- Appreciate if you rate.
In the figure QU=ST
What is the length of QR?
Answers
Answer:
the answer is 80
Step-by-step explanation:
QR=ST: 7x+3=5x+25
2x=22
x=11
7(11)+3=80 5(11)+25=80
i want to know the answer
Answers
Answer: Heyaa!~
Your Answer is... 15/2 in its exact form!
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Hopefully this helps you! ~
Consider the following polynomial function with irreducable quadratic factor, find an expression which gives the degree of the polynomial
Answers
An expression that gives the degree of the polynomial is [tex]\rm ax^2+bx+c=0[/tex].
What is an irreducible quadratic factor?An irreducible quadratic factor is an irreducible factor that is quadratic or has the highest exponent of 2.
An irreducible quadratic factor is an irreducible factor that is quadratic or has the highest exponent of 2.
A nonlinear equation is one in which the maximum degree of a term is two or more than two. When the polynomial equation is with degree two, then it is called a quadratic equation, and it is represented by a standard expression;
[tex]\rm ax^2+bx+c=0[/tex]
Where a is not equal to 0.
The degree of the polynomial is 2.
A quadratic polynomial can be further divided into linear factors. Now, simplify one of the quadratic expressions by completing the square method, which gives two linear factors.
Hence, an expression that gives the degree of the polynomial is [tex]\rm ax^2+bx+c=0[/tex].
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Help me on this math problem please!! DUE TONIGHT!! Write an equation!
Answers
Answer:
(3x+8)°+(x+4)° = 180,
x=42
Step-by-step explanation:
They are linear pairs, so the two angles are supplementary or add up to 180°.
1. Format the equation (3x+8)°+(x+4)° = 180
2. Simplify like terms 4x + 12 = 180
3. Subtract 12 on both sides, 4x=168
4. Divide 4 on both sides, x=42
5. Answer is x=42
-x -x
2x+8=4
-4 -4
2x=4
x=2
Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Birt counts with him, they can count all the coins in 6 minutes. How long would it take Goblin Birt to count the coins in the bag alone?
Answers
Goblin Birt can take 15 minutes to count the coins in the bag by himself.
What is the unitary method?The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.
How to calculate how long would it take goblin Birt to count the coins in the bag by himself?
In this problem, the unitary method is to be applied three times.
Here, counting all the coins is considered as the entire work which is considered as 1.
According to the problem,
Goblin guys can count the coins in a bag in 10 minutes.
In 10 minutes Goblin guys can count the coins in the bag.
In 1-minute Goblin, guys can count th part of the coins in the bag.
Again, according to the problem,
Goblin gryh and Goblin Birt both can count all the coins in 6 minutes.
In 6 minutes, Goblin gryh and Goblin Birt both can count all the coins in the bag
In 1 minute, Goblin gryh and goblin Birt both can count th part of the coins in the bag.
In 1 minute, Goblin Birt can count ([tex]\dfrac{1}{6}-\dfrac{1}{10}[/tex] th part of the coins in the bag.
[tex]= (\dfrac{5-3}{30})=\dfrac{1}{15}[/tex] th part of the coins.
We can say, Goblin Birt, can count 1 / 15 th part of the coins in the bag in 1 minute. Goblin Birt himself can count all the coins in the bag in 15 minutes.
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The area of a parallelogram is 914, and the lengths of its sides are 41 and 26. determine, to the nearest tenth of a degree, the measure of the obtuse angle of the parallelogram.
Answers
Answer: 121.0
Step-by-step explanation:
Which is an example of a living expense?
O A. A concert ticket
O B. A subway pass
O C. A streaming service
O D. A newspaper subscription
Answers
Evaluate for f(-2)
F(x) = x2 - 4
Answers
Answer:
f(-2) = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given function.
f(x) = x² - 4
Step 2: Find f(-2)
[Function] Substitute in x:f(-2) = (-2)² - 4Evaluate exponents:
f(-2) = 4 - 4Subtract:
f(-2) = 0
∴ the function when x = -2 is equal to 0.
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Topic: Algebra I
vertex represents a maximum or minimum point for the function. Explain your
answer.
b. Rewrite f(x) in vertex form by completing the square.
2. A cannonball is shot from the top of an ocean cliff as shown. The height (in meters) of the cannonball above th
water is given by h(t) = -5t2 + 15t + 8, where t is the number of seconds after the shot. Determine
whether each statement is true according to the graph. Select True or False for each statement.
Statement
True
Fal
The cannon is 8 meters above the water.
The cannonball reaches its maximum height at 1.5
seconds after it is shot.
The cannonball hits the water 8 seconds after it is
shot.
Answers
Answer:
the vertex represents a maximum
Vertex is (4,7)
f(x)=-(x-4)^2+7
Step-by-step explanation:
Given the function [tex]f(x)=-x^2+8x+9[/tex]
Equation is in the form of y=ax^2+bx+c
[tex]a=-1[/tex]
When 'a' is negative, then vertex is maximum
when 'a' is positive, then vertex is minimum
[tex]a=-1[/tex] is negative, so the vertex represents a maximum
[tex]f(x)=-x^2+8x+9[/tex], factor out negative
Take out negative sign in common
Given h(x) = 3(2 – X),
what is the value of
h(-4)?
4.-6
B. 10
C.2
D.18
Answers
I hope this can help you
Answer:
D
Step-by-step explanation:
substitute x = - 4 into h(x)
h(- 4) = 3(2 - (- 4) ) = 3(2 + 4) = 3 × 6 = 18
I NEED EMERGENCY HELP HELP HELP HELPI WILL MARKKK YOU BRAINLIST
Answers
Answer:
D. 68+(6x+4)=180
x = 18
Step-by-step explanation:
"Supplementary angles" are angles that add up to 180°
So we add the twi angles 68+(6x+4) and that equals to 180°.
68 + 6x + 4 = 180
add 68 and 4
72 + 6x = 180
subtract 72.
6x = 108
divide by 6.
x = 18
A square has an area of [tex]18x^{2}[/tex] what is the length of one of its sides
Answers
Answer:
≈4.24x
Step-by-step explanation:
[tex]\sqrt{18} = 4.24[/tex]
Have a nice day! :)
Answer:
18x
Step-by-step explanation:
because itś squared, and the area of a square is always squared, its 18x
If you roll two fair six sided dice, what is the probability that the sum is 5 or lower
Answers
Answer: P(sum is 5 or lower) = 10/36 (not simplified) = 5/18 (simplified)
Step-by-step explanation: The event is {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1)}
A study of the annual population of bees in a county park shows the population, B(t),
is declining due to pesticide usage and can be represented by the function
B(t) = 1872(.83)*, where the t represents the number of years since the study
started. Based on the function, what is the percent the bees population declines by each
year?
Answers
Answer:
yor mom
Step-by-step explanation:
The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
The decline rate will be calculated as below:-
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
From the function :
b = 0.83
The decline rate will be calculated as,
Decline rate = 1 - 0.83 = 0.17 x 100 = 17%
The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.
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Which answer choice shows the numbers ordered from least to greatest?
*
15 points
A) 1/3, 0.333, 3/10, 33%
B) 0.333, 1/3, 3/10, 33%
C) 3/10, 0.333, 1/3, 33%
D) 3/10, 33%, 0.333, 1/
Answers
Answer:
D
Step-by-step explanation:
[tex] \frac{3}{10} = 0.3[/tex]
[tex] \frac{1}{3} = 0.333333333[/tex]
[tex]0.333 = 0.333[/tex]
[tex]33\% = 0.33[/tex]
[tex]0.3 < 0.33 < 0.333 < 0.333333333[/tex]
Shannon has a collection of sports cards. Last month, she had 50 sports cards. Since last month, her collection has decreased by 46%. How many sports cards does Shannon have now?
Answers
Shannon now has 26.7 sports cards now
How do I find x and y
Answers
to find x -
7x = 8x - 10
180 - 70 = 110
110 = 6y + 20
y = 15
Answer:
Y is on the top
X is on the bottem
Step-by-step explanation:
A single card is drawn from a standard deck of cards. Find the probability of drawing a club or a diamond.
Answers
Answer:
1/10
Step-by-step explanation:
Jack deposited $47,323.15 in an account earning 5% interest compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Answers
Answer:
Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.
General Formulas and Concepts:
Algebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}[/tex]
A is final amountP is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify given variables.
P = $47,323.15
r = 0.05
n = 1
t = 3
Step 2: Find Interest
[Compounded Interest Rate Formula] Substitute in variables:[tex]\displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}[/tex]Evaluate:
[tex]\displaystyle A = \boxed{54782.5}[/tex]
∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.
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Topic: Algebra I
A decimal number is multiplied by 10². Which statement describes the change in position of the decimal point in the decimal number as a result of the multiplication?
QUICK PLEASE AND THANK YOU
A. The decimal point moves 2 places to the left.
B. The decimal point moves 10 places to the left.
C. The decimal point moves 2 places to the right.
D. The decimal point moves 10 places to the right.
Answers
Answer:
C.
Step-by-step explanation:
10^2=100
100 shifts the decimal point 2 places to the right
The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours. a. What is the probability that a randomly selected student studies more than 27 hours per week
Answers
The probability that a randomly selected student studies more than 27 hours per week is 0.0014.
What do you mean by standard deviation?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of a population
N = number of observations of population
X = mean
μ = population mean
The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours.
So, μ = 25
σ = 2.5 hours.
[tex]P(X > 27) = P(\frac{x-\mu}{\sigma} } > \frac{27-25}{2.5})\\\\= P(z } > \frac{27-25}{2.5})\\\\[/tex]
= P (z > 1.2)
= 1 - P (z < 1.2)
= 0.0014
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what is the range of this function?
Answers
Answer:
B.
Step-by-step explanation:
The range is all real numbers
It will indefinitely go up and indefinitely go down
Can someone help me with this problem? Thank you!
Answers
Answer:
Perimeter = 61 7/20
Step-by-step explanation:
Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.
Spencer surveyed five of his friends to find out how many pets they have. His results are shown in the table below. What is the mean number of pets?
Cody has 1 lara has 4 sam has 5 ella has 3 maria has 2
Answers
The mean of the number of pets which Spencer has surveyed for five of his friends is number 3.
What is mean of the data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.
Spencer has surveyed five of his friends to known that how many pets they have.
His results are shown in the table below. Cody has 1 Lara has 4 Sam has 5 Ella has 3 Maria has 2. There are total 5 friends. Thus the mean number of pets is:
[tex]\text{Mean}=\dfrac{1+4+5+3+2}{5}\\\text{Mean}=\dfrac{15}{5}\\\text{Mean}=3[/tex]
Thus, the mean of the number of pets which Spencer has surveyed for five of his friends is number 3.
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9.Find the value of x.
Work too please
Answers
Answer: 1
Step-by-step explanation:
A water bottle holds 7/8 of a gallon of water. There are 5 1/4 gallons of water in a water tank. How many water bottles can be filled with the water in the tank?
Answers
Answer:
6 water bottles
