Answers
The solution are-
(a) lim h (x) = -2
x → -2⁻
(b) lim h (x) = -2
x → -2⁺
(c) lim h (x) = -2
x → -2
What is defined as the limits of the functions?A limit describes the value which a function approaches as its inputs get increasingly closer to a certain number.
The concept of a limit is at the heart of all calculus.
(a) lim h (x) = -2
x → -2⁻
Put x = 2 at the place of x in h(x).
This limit is called the left hand limit of the function as there is negative sign over 2.
(b) lim h (x) = -2
x → -2⁺
Put x = 2 at the place of x in h(x).
This limit is called the right hand limit of the function as there is positive sign over 2.
(c) lim h (x) = -2
x → -2
Put x = 2 at the place of x in h(x).
This limit exists just at x = 2.
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Related Questions
will mark branliest if right!
Answers
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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Please help! Need answers fast
Answers
A manufacturing company has decided to be carbon free by 2030. what can it do to achieve this goal?
Answers
The manufacturing company has decided to be carbon free by 2030. so, it can reduce its pollution rate by using environmentally friendly equipment to achieve this goal.
Pollution:
The term pollution refers any substance that negatively impacts the environment or organisms that live within the affected environment.
Given,
A manufacturing company has decided to be carbon free by 2030.
Here we need to find the solution to achieve this goal.
To achieve this goal the company can take many measures this includes,
To completely switching to alternative sources of energy. The company can reduce its pollution rate by using environmentally friendly equipment.
By making maximum use of renewable energy in the company, in which energy can be emitted using solar energy, windmill etc.
And by planting more and more trees, the amount of oxygen in our environment should be increased.
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If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question?
Answers
The different ways can a student check off one answer to each question is 1024.
It is required to find the different ways can a student check off one answer to each question.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
If a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,
,To find how many different ways can a student check off one answer to each question we have,
: 4^5 = 2^10
= 1024
Therefore, the different ways can a student check off one answer to each question is 1024.
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Factor the expressions:
Answers
Answer:
6a²b(2b-3a³+5)
in here we need to consider about highest common factor. After that take it as common and factorise
#15: m∠NST = ____°
need answer
Answers
Answer:
∠ NST = 59°
Step-by-step explanation:
∠ NST and ∠ LSN form a right angle , that is
∠ NST + ∠ LSN = 90
3x - 1 + 2x - 9 = 90
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Then
∠ NST = 3x - 1 = 3(20) - 1 = 60 - 1 = 59°
21 ones + 153 thousandths
Answers
Answer:
21.153
Hope this helps! (:
Answer:
21.153
Step-by-step explanation:
(Don't confuse thousandths for thousands.)
21 + 0.153 = 21.153
Anyone 10-11 grade? Ig or S?
Answers
i am 11th grade
but why?
Which of the following could be measured in meters? weight of a bag, height of a building,time it takes to reboil or temperature on a hot day
Answers
Answer:
Step-by-step explanation:
height of the building
Write two scoring questions pertaining to your game that you could give to another student to answer. each question must require the other student to operate with integers. include both an answer key and a solution key for each question.
Answers
The required question for another student is to find out how many goals will be scored by both teams in 90 minutes if the game.
In mathematics, it deals with numbers of operations according to the statements.
Here,
In order to make the question,
1. In a football match, there are two teams competing, team A scoring 1 goal every 10 mins while team B scores 1 goal in every 15 minutes, so find out how many goals will be scored by both the teams in 90 minutes if the game.
Solution;-
For every ten minutes team score a goal so in 90 minutes,
= 90/10 * 1
= 9
Similarly,
For team B
= 90/15 * 1
= 6
Answer:- Thus team A scores 9 goals in a game and team b scores 6 goals.
Thus, the required question, solution, and answer are mentioned above.
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What is the expression for the area of a triangle with a height of n and a base of 6?
6n/2
6n
6n/3
3n
Answers
The expression for the area of a triangle with a height of n and a base of 6 is 6n/2
Area of a triangleThe formula for calculating the area of a triangle is expressed as:
A = 1/2 bh
where
b is the base of the triangle
h is the height of the triangle
Given the following parameters
base = 6
height = n
Substitute
A = 1/2 × 6 × n
A = 6n/2
Hence the expression for the area of a triangle with a height of n and a base of 6 is 6n/2
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WILL CHOOSE BRAINLIEST Use the slope to determine if lines PQ and RS are parallel, perpendicular, or neither.
Answers
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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What is the variable of 3x - 5y?
Answers
Reason
In math, a variable is a symbol (usually a letter) standing in for an unknown number value in an equation. Commonly used variables include x and y.
Solve the equation 6x = 72 for x.
Answers
(72/6 = 12) :)
Answer:
x= 12
Step-by-step explanation:
6x = 72 (÷6)
6x/6 = 72/6
x = 12
In an apartment building block there are apartments with 2 rooms and with 3 rooms. in the building there are 20 apartments and 45 rooms in total. how many appartments with 3 rooms are in the building?
Answers
Using algebraic expressions and equations to solve this problem, there are 15 apartments with 2 rooms and 5 apartments with 3 rooms.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
If there are 20 apartments, we can write the equation for the sum of two different kind of apartments.
let x = number of apartments with 2 rooms
y = number of apartments with 3 rooms
x + y = 20 (equation 1)
If there are x apartments with 2 rooms and y apartment with 3 rooms and there are 45 rooms in total, we can express this as the equation:
2x + 3y = 45 (equation 2)
Rewriting equation 1 as an equation of y in terms of x,
x + y = 20 (equation 1)
y = 20 - x
Substitute this expression of y to equation 2, and solve for x.
2x + 3y = 45 (equation 2)
2x + 3(20 - x) = 45
2x + 60 - 3x = 45
-x = 45 - 60
-x = -15
x = 15
Substitute the value of x in either equation 1 or 2 and solve for y.
x + y = 20 (equation 1)
15 + y = 20
y = 20 - 15
y = 5
If x is the number of apartments with 2 rooms and y is the number of apartments with 3 rooms, then there are 15 apartments with 2 rooms and 5 apartments with 3 rooms.
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Write an algebraic expression to represent how much money Max has saved.
Max is saving to buy a car. He already has $700 saved. He will continue to earn money by cutting lawns; he earns $15 for each lawn. Let x represent the number of lawns Max cuts.
Answers
Answer: x=700+15
Step-by-step explanation: an educated guess
Answer:
y = 15x + 700
Explanation:
In this sentence said Max already has $700 which means it should be constant value in the equation. Max earns $15 for each lawn he cuts.
Linear equation:
y = mx + bwhere 'm' is rate of change, 'b' is constant value
So, the equation should be (for total money Max saved):
y = 15x + 700where y represents total money Max saved and x = number of lawns cut.
please help,, will mark branliest if its right!!
Answers
Answer:
1. DNE
2. DNE
3. (-2, inf)
4. (-3,-2)
Step-by-step explanation:
Write an equation of the line satisfying the given conditions. the line passes through (25,24)(25,24) and is perpendicular to y=6y=6.
Answers
The equation of the line is x = 25, in accordance with the given conditions.
What is the equation of a line?It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Given:
Line passes through (25,24)Line is perpendicular to y =6.To find: Equation of the line.
Finding:
Let the equation of the line be: (y - y') = m (x - x'),
where, (x',y') = point through which the line passes and m = slope of the line.
Since the given line is perpendicular to y = 6; the slope of this line = 0.The slope of the first line = [tex]\frac{1}{0}[/tex] , i.e., the y-intercept of this line does not exist and it is a vertical line.
Hence, the equation of the line is 0 = 1 (x - x')
Since the line passes through (25,24), x' = 25Thus, the equation of the line => 0 = 1 (x - 25)
=> x = 25.
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25 points plus brainliest
Answers
Answer: y-3 = 3(x+4)
Step-by-step explanation:
See attached
which answer???????
plss
Answers
Answer:
I am not sure myself but I think the answer is 2.3 hours per week.
ways to show 2 times 43 times 19
Answers
2 * 43 * 19 = 1634
(2)(43)(19) = 1634
(2)(43 * 19) = 1634
(2 * 43)(19) = 1634
(2 * 19)(43) = 1634
And so forth and so forth. You can keep showing different ways of multiplying this problem by using the association and communicative properties of multiplication.
Cheers
in a class of 30 children
60% of the students are girls.how
Answers
Answer:
There will be 18 boys.
Step-by-step explanation:
im assuming you are looking for how many boys are left,I did 60% by 30 = 18
Answer:
there are 18 girls
Step-by-step explanation:
one really cool trick is the total like 30 x 0.60 this will give you the percentage
Je m'échauffe
1 QUESTIONS FLASH
Déterminer la moyenne, la médiane et l'éten-
due de chacune des séries :
2
a. série 1 : 4; 5; 12;
b. série 2: 0; 1; 2; 3;
c. série 3:3; 7; 9:11; 20;
d. série 4:2; 3; 4; 5; 6; 7.
Si quelqun pourrais m’aider sur les 3 question sa serais génial ! Silvouplais
Answers
Answer:
yookiiii8bubub7bssh8ss
There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange. half of the guests will go in costumes that are neither black nor orange. how many children will wear both orange and black
Answers
The number of children who wore both orange and black will be 8.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange.
Then the number of children who wear costumes and black & orange. Then we have
⇒ 46 - 18 - 12
⇒ 46 - 30
⇒ 16
Half of the guests will go in costumes that are neither black nor orange. Then we have
⇒ 16 / 2
⇒ 8
Then the number of the children who orange and black will be
⇒ 16 - 8
⇒ 8
The number of children who wore both orange and black will be 8.
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Two players are playing chess and usually player a wins 65 percent of games. they will play 3 games and the winner is:_________
Answers
In each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.
What is probability?Probability is a branch of mathematics with numerical characterizations of how likely an event is really to occur or how probable a proposition is to be true. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.To find the probability:
To find the probability that player a wins the game and by what probability player b wins the game.So, 65/100 = 13/20.So, the probability of player b will be 7/20.Therefore, in each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.
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In the figure below, m ZABD = 104°, BC bisects LABD, and BE bisects ZCBD. Find mZEBD.
Check
A
B
C
E
D
mZEBD
X
2022 McGraw
Answers
The measure of ∠EBD from the given figure is 26°.
Given that, m∠ABD=104°, BC bisects ∠ABD, and BE bisects ∠CBD.
What is an angle bisector?An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.
Since BC bisects ∠ABD, we get ∠ABC=∠CBD
So, ∠ABD=∠ABC+∠CBD
⇒2∠CBD=104°
⇒∠CBD=52°
Here, BE bisects ∠CBD, we get ∠CBE=∠EBD
So, ∠CBD=∠CBE+∠EBD
⇒2∠EBD=52°
⇒∠EBD=26°
Therefore, the measure of ∠EBD from the given figure is 26°.
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Match each pair of inverse operations.
1. cubing
subtraction
2. multiplication
division
3. squaring
taking the square root
4. addition
taking the cube root
Answers
squaring- taking the square root
addition- subtraction
multiplication- division
a line with a slope equal to -2/3 passes through (-1, -4) and (3,y) what’s the value of y
Answers
Answer:
-20/3
Step-by-step explanation:
Using point-slope form, the equation is
[tex]y+4=-\frac{2}{3}(x+1) [/tex]
Substituting x=3,
[tex]y+4=-\frac{2}{3}(3+1) \\ \\ y+4=-\frac{8}{3} \\ \\ y=-\frac{20}{3}[/tex]
Is 10.32332333... a rational or
irrational number?
Choose the correct answer below.
irrational number
rational number
Answers
Answer:
Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
This applies to the listed number.
Put the following equation in slope intercept form, simplifying all fractions. 12x+8y=-24
Answers
The slope intercept form of the equation 12x ₊ 8y = ₋24 is
y = ₋3/2 x ₋ 3
Given the equation is 12x ₊ 8y = ₋24
we are asked to convert the given equation into slope intercept form.
Finding a line's equation requires using the slope-intercept form of a straight line. We must know both the line's slope and the point at which the line crosses the y-axis in order to use the slope-intercept formula.
12x ₊ 8y = ₋24
⇒ 12x ₊ 8y ₊ 24 = 0
we re-arrange the equation of the line to write it in the standard form
y = mx + b.
12x ₊ 8y = ₋24
8y = ₋12x ₋ 24
now divide the terms on the right side by 8.
y = ₋12x/8 ₋ 24/8
y = ₋3/2x ₋ 3
hence we get the slope intercept form as y = ₋3/2x ₋ 3, where m=s₋3/2 and b = ₋3
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Answer:
I don't know to be honest
Step-by-step explanation:
that's great
