Answer:
The highest power of a variable in a function is known as its degree.
Step-by-step explanation:
Examples:
x + 5 is 1st degree, since x is to the power of 1.
5[tex]x^{3}[/tex] + 3x + 5 is 3rd degree.
[tex]x^{21}[/tex] +99 is 21st degree.
Students were asked to schedule one from each category: chorus or band; French, Spanish, or German; art, wood shop, or physical education.
Answer:
Have you finished this question? I don't understand.
Step-by-step explanation:
Sketch the graph of y = (x + 1)²(x + 3)
Answer:
Step-by-step explanation:
it is due now!!! 20 points
The per capita consumption (in pounds) of all poultry in a country is approximated by the function C(x) = 2.97x +92.19, where x is the number of years since 2014. Find and interpret C(1)
By evaluating the function in x = 1 we get:
C(1) = 95.16
This means that the per capita consumption of all poultry in 2015 was 95.16 pounds.
How to find C(1)?Here we have the linear function:
C(x) = 2.97*x+ 92.19
We know that it models the consumption of all poultry in a country as a function of x, the number of years since 2014.
Then C(1) will be the consumption of all poultry in that country one year after 2014 (this would be on 2015).
To evaluate we just need to replace the variable x in the equation by 1, we will get:
C(1) = 2.97*1+ 92.19 = 95.16
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What is the output for y=x-4 if the input is 13
Answer:
9
Step-by-step explanation:
y = x - 4
y = 13 - 4
y = 9
Ms. Cangiano's class is collecting aluminum cans for a recycling project. George brings in 3 bags with 10 cans in each bag. Ava brings in 6 bags with 11 cans in each bag. how many cans do they have so far?
A: 30
B: 33
C: 96
D: 90
please explain !!
Answer: its c
Step-by-step explanation:
the quadratic equation x2 mx n has roots twice those of x2 px m, and none of m, n, and p is zero. what is the value of n/p?
The value of n/p is 8.
What is quadratic equation?
A quadratic equation in algebra is any equation that can be written in standard form as where x is an unknown and where a, b, and c denote known numbers, where a ≠ 0.
Let, for x^2 + mx + n = 0
⇒ x = 2α or 2β
From the given condition,
for x^2 + mx + n = 0 ⇒ x = α or x = β
Then,
2(α + β) = -m ..(1)
4αβ = n ..(2)
and α + β = -p ..(3)
αβ = m ..(4)
From equation (1) and (3),
-m/2 = -p
⇒ p = m/2
and from equation (2) and (4),
n/4 = m
⇒ n = 4m
Therefore,
n/p = 4m / (m/2) = 4 x 2 = 8
Hence, n/p = 8.
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Taki keeps all of her black and white photos in portfolio folders. She
was recently asked to show the photos at an upcoming exhibit. She
notices as she sorts through the photos that, in each folder, two out of
every five photos are landscapes.
1. If Taki has 70 black and white photos in one of her portfolio folders,
how many of them are landscapes?
There are 28 landscapes.
From the question, we have
In five photos = 2 landscapes.
In 70 photos = 2/5*70
=28 landscapes.
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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Ruby purchased 3 dozen eggs. She paid $10.00 fo 6 eggs. Ruby decided to resell the 3 dozen eggs for $2.00 per egg. Unfortunately 0.25 of tue egss were broken. She proceeded to sell the remaining unbroken eggs. Did she make a profit or loss?
Answer: A loss of 6 dollars
Step-by-step explanation:
Step 1 is to determine how many eggs she purchased:
3 dozen eggs * 12 eggs per dozen = 36 eggs purchased
Step 2 is to find the cost of the eggs purchased using the information you gave:
(36 eggs / 6) * 10 dollars = $60 purchase price
Step 3 is to find out how many eggs broke which is calculated like this:
36 total eggs * .25 = 9 broken eggs
Step 4 is to find how much money she made from selling the remaining eggs:
(36 total eggs - 9 broken eggs) * $2 per egg = $54 resale
Step 5 is finding the profit or loss:
$54 resale price - $60 purchase price = $ -6 (aka a 6 dollar loss)
(Please help quick!)
Find the area of the triangle.
A=?ft^2
ok I will help you
A=hbb
2
b Base
hb Height
Mike's Fitness Center charges $30 per month for a
membership. All-Day Fitness Club charges $22 per month
plus an $80 initiation fee for a membership. After
type your answer...
months will the total amount
paid to the two fitness clubs will be $
type your answer...
Answer:
the cheaper plan is Mike's until month 10. At month 10 the plans are equal after month 10 All Day is cheaper
Step-by-step explanation:
30x = 22x + 80 Set the equations equal to each other and subtract 22 from both sides of the equal sign
8x = 80 Divide both sides by 8
x = 10
At 10 months the plan are equal.
Show algebraically that the sum of 2 consecutive numbers is always odd.
Answer:
Two consecutive numbers can be written as x and x+1
if we add those two equations together we get 2x+1
And since any number times two is an even number if you add one to any even number you always get an odd number
An artist charges $980 for a portrait but gives 5% discount for cash. Calculate the cash Price of the portrait
Answer:$1031$
Step-by-step explanation: $980 is the worth of the portrait right? That means that 5%-100%=95% of the portrait is 980 so if we multiply by the reciprocal which is 980*100/95=$1031$
find x, y and z HELPPP
Answer:
x = 30 degrees
y = 15 degrees
z = 150 degrees
Step-by-step explanation:
Finding x:
2x + 90 + x = 180
3x + 90 = 180
3x = 90
x = 30
x and 2y are alternate interior angles, which means that they are congruent:
x = 2y
30 = 2y
15 = y
x and z are same side interior angles, which means that they are supplementary:
x + z = 180
30 + z = 180
z = 180 - 30
z = 150
What is this expression in simplified form?
Answer:
[tex]15\sqrt{5}[/tex]
Step-by-step explanation:
simplify [tex]\sqrt{20}[/tex] and [tex]3\sqrt{50}[/tex]
[tex]\sqrt{20}[/tex] simplifies into [tex]\sqrt{5}[/tex]
so [tex]\sqrt{20}[/tex] = [tex]\sqrt{4} \sqrt{5}[/tex]
we can simplify [tex]\sqrt{4[/tex] into a whole number
[tex]\sqrt{4[/tex] =2
= 2[tex]\sqrt{5}[/tex]
[tex]\sqrt{50[/tex] simplifies into [tex]\sqrt{2[/tex]
so [tex]\sqrt{50[/tex] =3( [tex]\sqrt{25} \sqrt{2}[/tex])
we can simplify [tex]\sqrt{25}[/tex] into a whole number
[tex]\sqrt{25[/tex] = 5
= 15[tex]\sqrt{2[/tex]
then we add these simplified roots back into the question
2[tex]\sqrt{5}[/tex] + [tex]5\sqrt{2[/tex] -[tex]2\sqrt{5[/tex]
we simplify again as [tex]2\sqrt{5[/tex] cancels out
to get a final answer of:
[tex]15\sqrt{5}[/tex]
-3x + 4 < 16. Esta difícil
Answer:
x>-4
Step-by-step explanation:
What are the answers to these questions
The input of a function that can be controlled is the independent variable while the output is the dependent variable thus "Number of hours" and "D" are independent while the amount of muscle mass is the dependent variable.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
An input variable that we can control and manage is said to be an independent variable.
For example in function y = f(x) here we can control variable x so it will be an independent variable.
As per the given,
The number of hours we can spend so will be an independent variable.
The input D will be the independent variable.
The amount of mass muscles depends on age so it will be the dependent variable.
Hence "Number of hours" and "D" are independent while the amount of muscle mass is the dependent variable".
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9(2x - 6)
A.
9x - 8
B.
9x - 3
C.
18x + 54
D.
18x - 54
Answer:
D.
18x-54
Step-by-step explanation:
9*2x - 9*6
18x - 54
The weight of one serving of trail mix is 2. 5 ounces. How many servings are there in 22. 5 ounces of trail mix?.
9 servings are there in 22.5 ounces of trail mix.
Given:
The weight of one serving of trail mix is 2. 5 ounces.
1 serving = 2.5 ounces
Number of servings = 22.5 ounces / 1 serving
= 22.5 / 2.5
= 225/10/25/10
= 225/25
= 9 servings.
Therefore 9 servings are there in 22.5 ounces of trail mix.
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58 rooms on 2 floors = ____ rooms per floor
true or false stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.
The stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.
It is the true statement.
Given,
In the question:
Stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.
To check the above statement is true or false.
Now, According to the question:
Let's know about
Stratified random sampling:Stratified random sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. In stratified random sampling, or stratification, the strata are formed based on members' shared attributes or characteristics, such as income or educational attainment.
In stratified random sampling, the strata are formed based on member's shared characteristics (e.g. female or male, occupation, education) or attribute (e.g. black or white).
Hence, The stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.
It is the true statement.
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56 women make up an all female choir in a church. Two women are chosen to sing together for a duet. How many possible pairs could be chosen for the duet?
12 - f/4 = 5 please help me fast I have exam
Answer: 12-(28/4)=5
Step-by-step explanation:
12-7=5 I hope it helps :)
HELP PLEASE HELP PLEASE ADD WORK!! PLEASE HELP NEED IT NOW
The high temperature in Northville one day was 16°F. The low temperature on the same day was –11°F. What was the difference between the high and low temperatures for that day?
Answer: The answer should be a 27-degree difference
Step-by-step explanation:
If you add -11 and 11 you get 0 then add 16. 11+16 is 27 so a 27-degree difference!!!
if x=-7 and y=3, calculate the values of (x+y/x-y)²
If x = -7 and y = 3, the value of the expression (x+y/x-y)² is 4/25 .
In the question ,
it is given that ,
the algebraic expression is given as (x+y/x-y)² ,
we need to find the value of the given expression when the value of x = -7 and y = 3 .
Substituting the values of x = -7 and y = 3 in the expression ,
we get
= (x+y/x-y)²
= ((-7+3)/(-7-3))²
= (-4/(-10))²
= 16/100
cancelling out the common factor 4 , from the numerator and denominator .
= 4/25
Therefore , the value of the given expression at x = -7 and y = 3 is 4/25 .
The given question is incomplete , the complete question is
Calculate the value of the expression (x+y/x-y)² at x = -7 and y = 3 ?
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Jane solved an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can’t find it. Where is Jane’s mistake and what is the solution to the equation?
-3(4x - 5) = 6(x + 3) + 10
-12x + 15 = 6x + 18 + 10
-12x + 15 = 6x + 18
15 = -6x + 18
-3 = -6x
1/2 = x
Jane made a mistake in her third step. The solution of the equation is x = - 13 / 18
How to solve equations correctly?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
The solve the equation to detect where Jane made the mistake in her solution.
-3(4x - 5) = 6(x + 3) + 10
open the brackets on both sides of the equation
-3(4x - 5) = 6(x + 3) + 10
- 12x + 15 = 6x + 18 + 10
- 12x + 15 = 6x + 28
subtract 6x from both sides of the equation
- 12x + 15 = 6x + 28
- 12x - 6x + 15 = 6x - 6x + 28
-18x + 15 = 28
subtract 15 from both sides of the equation
-18x + 15 = 28
-18x + 15 - 15 = 28 - 15
-18x = 13
divide both sides by - 18
x = 13 / -18
x = - 13 / 18
Therefore, jane made a mistake in her third step. She didn't add 18 and 10 together on the right side of the equation.
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The rate of change for of y = 2x + 6 is __________.
Answer:
2
Step-by-step explanation:
the rate of change is the coefficient of x
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The equations that are equivalent include:
2 + x = 5
x + 1 = 4
-5 + x = -2
What is an equation?It is important to note that an equation is used to illustrate the relationship between the variables that are given.
In this case, the given equation is illustrated as:
2 + x = 5
Collect like terms
x = 5 - 2
x = 3
x + 1 = 4
Collect like terms
x = 4 - 1
x = 3
-5 + x = -2
Collect like terms
x = -2 + 5
x = 3
Therefore, the three equations illustrated are equal.
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Each day, Julius reads 3 more pages in his novel than he read the day before.
If he read 8 pages on the first day, how many pages will he read on the 11th day?
OA. 33
OB. 35
C. 38
O D. 41
Answer:
He will read C. 38 pages on the 11th day.
Step-by-step explanation:
First day = 8 pages
2nd day = 8+3 = 11 pages
Sequence = (8,11,14.......)
a+(n-1)d
a = first term
nth term = 11
d(difference) = +3 or 3
8+(11-1)3
=38
in triangle abc, AB=6.2, AC=9.5, and BC=5.1. Which is the smallest angle of the triangle?
The smallest angles of the triangle is angle A
In triangle ABC
The length of the side AB = 6.2 units
The length of the side AC = 9.5 units
The length of the side BC = 5.1 units
The opposite angle of AB is angle C, the opposite angle of AC is angle B and the opposite angle of BC is angle A
We know length of the line is BC which is 5.1 units which is the smallest side of the triangle. Then the opposite angle of BC will be the smallest angle in the triangle ABC
The opposite angle of the side BC is angle A, which is the smallest angle in the triangle
Hence, the smallest angles of the triangle is angle A
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7x + 2y = 6
-14x - 4y = -12
Answer:
x= 6/7 - 2y/7
y= 3 - 7x/2
Step-by-step explanation:
I said so