Answer: f(-1)=-8
Step-by-step explanation:
f(x) = -x² + 7x
f(-1)=-(-1)²+7(-1)
f(-1)=-1-7
f(-1)=-8
A sheet of paper contains a list of 5 double-digit prime numbers.
Their mean is 31, while their median and mode is 29.
The largest number is 41.
Show how you can discover the 5 prime numbers written on the sheet.
the five prime number are 19,29,29,37,41
mean =sum of observations / total number of observation
= 19+29+29+37+41 /5
= 155/5
=31
median = (n+1) / 2 th term n is number of term and n is odd
= (5+1) /2 th term
= 3 rd term
= 29
mode = the value that appears most in the data
= 29
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Graph the inequality x+1>5.
To graph an inequality, select the correct type of ray and then select the correct endpoint on the number line.
Answer:
x>5_1 =4ans answer is these
5/6 x 15 =
2/3 x 1/4=
4/9 x 3/8=
Answer:
1. 75/6 (improper fraction) = 12 3/6 (mixed number) = 12 1/2 (simplified)
2. 2/12 = 1/6 (simplified)
3. 12/72 = 1/6 (simplified)
Hope this helps :)
Answer:
[tex]\frac{5}{6} * 15 = 12\frac{1}{2}[/tex]
[tex]\frac{2}{3} * \frac{1}{4} = \frac{1}{6}[/tex]
[tex]\frac{4}{9} * \frac{3}{8} = \frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\frac{5}{6} * 15 = \frac{5 * 15}{6} = \frac{75}{6}\\[/tex]
Reduce the fraction by diving both sides by the common factor.
[tex]\frac{75}{6} = \frac{75 / 3}{6/3} = \frac{25}{2}[/tex]
To convert the improper fraction to a mixed fraction, divide the numerator (25) by the denominator (2), put the whole part of the result in front and the remainder in place of the original numerator.
25 / 2 = 12 with remainder of 1
[tex]\frac{25}{2} = 12\frac{1}{2}[/tex]
[tex]\frac{2}{3} * \frac{1}{4} = \frac{2 * 1}{3 * 4} = \frac{2}{12} = \frac{2/2}{12/2} = \frac{1}{6}[/tex]
[tex]\frac{4}{9} * \frac{3}{8} = \frac{4 * 3}{9 * 8} = \frac{12}{72} = \frac{12 / 12}{72 / 12} = \frac{1}{6}[/tex]
Find true square numbers that add to 125.There are two ways to do this.
Please tell me those two ways!
Answer:
One solution is 64, 36, and 25
Another method is 25+36+64
Step-by-step explanation:
Need help!!
√18 is between _____.
4.5 and 4.6
8.9 and 9.1
4.2 and 4.3
3.1 and 3.2
Which of the following is equivalent to √52?
4√13
13√2
2√13
13√4
thank you ! :)
Answer:
√18 is between 4.2 and 4.3
√52 is equivalent to 2√13
......
Which relation is also a function? 25pts!!!!!!!!
X
1
y=ax²+bx+c 1.75
B
2
6
3
11.75
4
19
5
27.75
Answer:
ydiyetd5dtd7rowo47do7tso47syjfzj4tsuryusu6eaitddtsie6i64so7rso6ro6zoyds7orsoslu4sp
SOLVE SOLVE SOLVE SOLVE
The given expression is simplified as 6x+3y³. Therefore, option A is the correct answer.
The given expression is [tex]\frac{18x^{3}y^{2}+9x^{2} y^{5}}{3x^{2} y^{2} }[/tex].
We need to divide and simplify the given expression.
How to divide binomial by monomial?Division of polynomials by monomial means dividing the polynomials which are written as numerators by a monomial which is written as denominators to find their quotient.
Split the denominators to each numerator and cancel out the common terms and simplify.
Now, [tex]\frac{18x^{3}y^{2}+9x^{2} y^{5}}{3x^{2} y^{2} }=\frac{18x^{3}y^{2}}{3x^{2} y^{2}} +\frac{9x^{2} y^{5}}{3x^{2} y^{2}}[/tex]
=6x+3y³
The given expression is simplified as 6x+3y³. Therefore, option A is the correct answer.
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Select the correct answer. What is the solution to this system of equations? 3x+6y−5z=29-9x+y+4z=9-8x+7y+5z=4
y=-20, x=-1, c= -5
SOlution :
three-by-three systems:
In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables x,y,z
is called an ordered triple.
To find a solution, we can perform the following operations:
Interchange the order of any two equations.
Multiply both sides of an equation by a nonzero constant.
Add a nonzero multiple of one equation to another equation.
HOW TO: GIVEN A LINEAR SYSTEM OF THREE EQUATIONS, SOLVE FOR THREE UNKNOWNS.
Pick any pair of equations and solve for one variable.
Pick another pair of equations and solve for the same variable.
You have created a system of two equations in two unknowns. Solve the resulting two-by-two system.
Back-substitute known variables into any one of the original equations and solve for the missing variable.
3x+6y−5z=29...(1)
-9x+y+4z=9...(2)
-8x+7y+5z=4...(3)
Solving 1&2
3x+6(9-4z+9x)-5z=29
3x+54-24z+54x-5z=29
57x+54-29-29z=0
57x+25-29z=0
57x-29z=25...(3)
Solving 2& 3
-8x+7(9-4z+9x) +5z=4
-8z+63-28z+63x+5z=4
55x-23z-59=0 ..(4)
Solving 3 & 4
57x-29z=25...(3)
55x-23z-59=0 ..(4)
(55x29-57x23)x=59x23-25x23
-2906x = 2906
x=-1
putting it on equation 4
55x-23z-59=0 ..(4)
55(-1)-23z-59=0 ..(4)
z= - 5
-9(-1)+y+4(5)=9.
9+y+20=9
y=9-20-9
y=-20
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Answer:
(-4, 1, -7)
Step-by-step explanation:
and got it right on edmentum
A magnetic levitation train travels between the city center of shanghai china and pudong international airport. the trip covers 30 kilometers i'm just 8 minutes. what is the average speed of the train in miles per hour
Average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.
As given,
Total distance= 30 kilometers
Total time taken = 8 minutes
1 kilometer = 0.62137 miles
30 kilometers = 30 × 0.62137
= 18.641 miles
8 minutes = ( 8 / 60) hour
Average speed= total distance / total time taken
= 18.641 / (8/60)
= 139.8 miles/ hour
Therefore, average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.
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The value of 5x +3=20
Answer:
x = 17/5
Step-by-step explanation:
5x + 3 = 20
5x + 3-3 = 20 - 3
5x = 17
divide both by 5
there are 126 students.
2/9 of them are taking geometry. 3/7
of the students taking
geometry are male.
how many female students are taking geometry?
Out of 126, 2/9 of them are taking geometry , 3/7 of the students are males ,number of female students taking geometry are 16.
As given in the question,
Total number of students = 126
Number of Students taking geometry = (2/9) × 126
= 28
Number of male students taking geometry= (3/7) × 28
= 12
Number of female students taking geometry= 28 - 12
= 16
Therefore, out of 126, 2/9 are taking geometry , 3/7 are males ,number of female students taking geometry are 16.
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Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300. If her sales go as usual, how many of each size photo must she sell to pay for the booth?
Answer: she must sell 6 large photos and 6 small photos
Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300
What is the value of (2.4)3?
Answer: 7.2
Step-by-step explanation: 2.4(3) is really just 2.4 * 3 so 2.4 times 3 is 7.2.
Answer:
13.824
Step-by-step explanation:
Raise 2.4 to the power of 3.
A rental car company charges $22.50 per day to rent a car and $0.10 for every mile driven. salma wants to rent a car, knowing that: she plans to drive 275 miles. she has at most $140 to spend
Salma can rent the car for at most 5 days while driving 275 miles
Although part of your question is missing, you might be referring to this full question: A rental car company charges $22.50 per day to rent a car and $0.10 for every mile driven. Salma wants to rent a car, knowing that: she plans to drive 275 miles. She has at most $140 to spend. Write and solve an inequality which can be used to determine, the number of days Salma can afford to rent the car while staying within her budget
The equation which addresses this problem is:
22.5x + 0.10(275) <=140
Let x be the number of days Salma can afford to rent the car
Per day rent of the car = $22.5
Cost per mile = $0.10
Plan to drive = 275 miles
Budget with Salma = $140
Equation:
22.5x + 0.10(275) <= 140
Solving the equation we get x <= 5
So, Salma can rent the car for at most 5 days while driving 275 miles
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Statistics involving collecting, organizing, and summarizing data is called ______. group of answer choices
Descriptive statistics are those that involve gathering, arranging, and summarizing data.
What does "descriptive statistics" mean?Brief informational coefficients known as descriptive statistics are used to sum up a given data set, which may be a sample of a population or a representation of the entire population. Measures of the central tendency or measures of variability make up descriptive statistics (spread).
What do descriptive statistics serve as their primary function?A descriptive statistic's main function is to summarize data. Only the data set from which they were derived are statements made by descriptive statistics; they never extend further than the data you have.
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WILL CHOOSE BRAINLIEST Use the slope to determine if lines PQ and RS are parallel, perpendicular, or neither.
Slope of line PQ = -3
Slope of line RS = 3
They are neither parallel nor perpendicular.
What is the Slope of Parallel and Perpendicular Lines?If two lines are parallel to each other, they would have the same slope value.
If two line are perpendicular, the slope value of one would be the negative reciprocal of the other.
Slope = change in y / change in x.
Slope of line PQ = (-1 - 14) / (2 - (-3))
Slope of line PQ = -15/5 = -3
Slope of line PQ = -3
Slope of line RS = (-10 - 8) / (-2 - 4)
Slope of line RS = -18/-6
Slope of line RS = 3
The slopes of both lines are different, and are not negative reciprocals of each other, therefore, they are neither parallel nor perpendicular.
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Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called?
Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.
Descriptive statistics:- Descriptive statistics helps to describe, summarize and organize the set of data efficiently and in an informative way, so that it'll be easier to make conclusion about the data in order to make rational decisions. This method describes the characteristics of a dataset.
Example:- The average test score for the students of a particular class, gives descriptive sense of the typical scores.
There are three types of descriptive statistics-
Univariate statistics:- It summarizes only one variable at a time.Bivariate statistics:- It compares between two variables.Multivariate statistics:- It compares between more than two variables.Thus we can conclude that, those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.
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the sporting goods store sold 10 balls, 3 bats, and 2 bases for $99 on Monday. They sold 4 balls, 8 bats, and 2 bases for $78 on Tuesday. On Wednesday they sold 2 balls 3 bats and 1 base for 33.60. What is the cost of each individual item?
Answer:
ball: $8.00bat: $5.40base: $1.40Step-by-step explanation:
Given three relations between the costs of balls, bats, and bases, you want to find the cost of each.
10 balls + 3 bats + 2 bases = $994 balls + 8 bats + 2 bases = $782 balls + 3 bats + 1 base = $33.60SolutionSolving three linear equations in three unknowns can be accomplished easily by any number of calculators, apps, or spreadsheets. Here, we'll use an ad hoc solution.
Subtracting twice the third equation from the second, we have ...
(4 balls + 8 bats + 2 bases) -(2(2 balls + 3 bats + 1 base) = 78 -2(33.60)
2 bats = 10.80 . . . . . . . simplify
1 bat = 5.40 . . . . . . divide by 2
Subtracting the second equation from the first, we have ...
(10 balls +3 bats +2 bases) -(4 balls +8 bats +2 bases) = (99) -(78)
6 balls -5 bats = 21 . . . . . simplify
6 balls = 21 + 5(5.40) . . . . . add 5 bats and substitute their cost
6 balls = 48 . . . . . . . . simplify
1 ball = 8.00 . . . . . . . divide by 6
Using the last equation, we can find the cost of 1 base.
1 base = 33.60 -2 balls -3 bats = 33.60 -2(8.00) -3(5.40)
1 base = 1.40
The costs are ...
1 ball: $8.00
1 bat: $5.40
1 base: $1.40
EASY POINTS PLEASE HELP if you can answer bother that would be nice but u can answer one if u want
Answer:
#9: B
#10: D
Step-by-step explanation:
#9 had biggest scientific notaiton
#10 had smallet scientific notaiton and numbeer
Answer:
9. B
10. D
Step-by-step explanation:
a. 5406000000
b. 56040000000
c. 550400000
d. 6503000000
a. 900000
b. 120000
c. 3010000000
d. 19010
To calculate the average of 56,78,90,32,45
Answer:
60.2 is the average
Step-by-step explanation:
add all numbers together to get: 301
divide 301 by 5 because there are 5 numbers total to get: 60.2
Y is inversely proportional to the square of x. if y=3 when x=3 then y =1/3 when x is _______. help me isuck at proportionals
When the sample of participants is reflective of the characteristics of the population, it is said to be?
It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.
What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.To learn more about generalizable, refer to:
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please help with the question below asap !! thank you in advance !!
A jar has 5 red candies, 4 orange candies, 6 green candies, and 7 blue candies. What is the probability you will randomly pull an orange candy? Find the fraction, decimal, and percentage?
Answer:
2/11, 0.18, 18%
5 + 4 + 6 + 7 = 22
and 4 of those are 4 orange candies
4/22 = 2/11
Sal is selling two types of printed socks.he sells type a at r45 a pair.he sells type b at r30 if he sold 16 pairs in total,and had a total income of r585,how many pairs of sock did sal sell
Sal sold 7 pairs of type a socks and 9 pairs of type b socks
Let the number of type a socks sold by Sal be x
Let the number of type b socks sold by Sal be y
The selling price of type a socks = 45
The selling price of type b socks = 30
Total pairs sold = 16
Total income = 585
Therefore, the equations will be
x + y = 16-------(1)
45x + 30y = 585--------(2)
Multiplying equation (1) by 30 we get
30x + 30y = 480 ------(3)
Equating equations (2) and (3) we get,
15x = 105
x = 7
Putting x = 7 in (1) we get
y = 9
Sal sold 7 pairs of type a socks and 9 pairs of type b socks
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Simplify (-8+b)(5) helppp I’m so confused!
Answer: 5b-40
Step-by-step explanation:
You have to distribute the 5 into both of the variables in the parenthesis
Hope this helps!
You read 105 pages of a novel over 7 days. What is the mean number of pages you read each day?
Answer:
15
Step-by-step explanation:
105/7
15
Hope It Helps
will mark branliest if right!
We need to know about rate of change to solve the problem. The rate of change of population between 2002 and 2004 is -6.098% . The rate of change of population between 2002 and 2006 is -4.88%
The rate of change of something can be calculated by dividing the difference between the final amount and the initial amount by the initial amount. Rate of change is usually calculated as a percentage. We can calculate rate of change of population per year or between any two years. In this question we need to find the rate of change between 2002 and 2004 and also between 2002 and 2006. The initial population in 2002 is 82 and in 2004 it is 77.
rate of change between 2002 and 2004=[tex]\frac{77-82}{82}[/tex]x100=[tex]\frac{-5}{82}[/tex]x100=-6.098%
rate of change between 2002 and 2006=[tex]\frac{78-82}{82}[/tex]x100=[tex]\frac{-4}{82}[/tex]x100=-4.88%
Therefore the rate of change of population between 2002 and 2004 is -6.098% and the rate of change of population between 2002 and 2006 is -4.88%, the rate of change is negative because the population decreases.
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Fice card are dealt fom a deck. what is the probability of getting any two distinct face values occuring axactly twice?
The likelihood of any two different face values occurring exactly twice is 0.0475.
Describe probability using an example?
The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.An event's probability grows with its likelihood of happening. Tossing a fair (impartial) coin provides a simple illustration.Two pairs
two pairs = 13C2 *4C2 * 4C2 * 11C1 * 4C1 = 123552
P( two pairs) = 123552/2598960 = 0.0475
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The complete question is -
In a poker game, five cards are dealt at random from an ordinary deck of 52 playing cards. Find the probability of gettingtwo pairs (any two distinct face values occurring exactly twice)