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The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.

Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.

According to the given information:

The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.

The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.

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The statements which are true about this graph that shows the average price of stock each year is:

Price can be define as an amount of money which is primarily set by the seller of a good (product) or stock, and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product) or stock.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

By critically observing the graph (see attachment) which models the the average price of stock each year, we can infer and logically deduce the following true statements:

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Answer:

18

correct me if I'm wrong❌

Answer:

a) 41 customers purchased only mysteries.

b) 19 customers purchased mysteries and science fiction, but not romance novels.

c) 19 customers purchased mysteries and science fiction.

d) 19 customers purchased mysteries and science fiction, but not romance novels.

e) 15 and 10 customer purchased mysteries

Answer:

V = -5

Step-by-step explanation:

As the paper says, V = m - k.

If you subtract -7 - -2 you get -5 (negative 5)

Hope this helps ^^

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

Answer:$22

Step-by-step explanation:

22-2=20

The value of x is 14.

We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.

We have two sides measured 2x-9 and x+ 5.

From the figure the length of sides are equal then

2x-9 = x+ 5

2x- 9- x = 5

x-9 = 5

Add 9 to both sides of the equation:

x - 9 + 9 = 5 + 9

x= 14

Thus, the value of x is 14.

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Answer:

We can see that as x increases, y decreases. This indicates a negative slope meaning that the two variables are negatively related.

Hope this helps! :)

Answer:

[0, infinity)

Step-by-step explanation:

Focus on f(x) = sqrt(x) first.  The domain of this function is [0, infinity), and the range is [0, infinity).

The product (f*g)(x) is sqrt(x)*(3x + 2).

This leads to the conclusion that the range of  (f.g) (x) is  identical to the range of sqrt(x), which is [0, infinity).

Answer:

[0, infinity)

Step-by-step explanation:

I just took the test; 100%.

Answer:

profits will increase so with that being said the supply of them dropped if demand increased getting bikes will be harder for competing business in the area and so therefore if you have 200 bikes and others have 50 bikes your gonna make way more profit and for the people with 50 bikes they will gain and lose profits because when they run out of bikes they have to buy more and they are more expensive because of the demand on them

Step-by-step explanation:

The explanation regarding the change of price that impact the profits should be explained below.

The profit should rise when the supply should fall. In the case when I have 200 bikes while the other should have 50 bikes so here I make more profit however the other people will gain but the profit should be lost since the bikes should be out of the stock and at the same time they need to buy more that should be more expensive due to the demand.

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Answer:

1.5

Step-by-step explanation:

Let the number be denoted as "a"

-1 (2a + 3) = 2 (-4a + 3)

-2a - 3 = -8a + 6

-2a + 8a = 6 + 3

6a = 9

a = 9/6

a = 3/2 = 1.5

Answer:

I think goes 130 and then  180 then 120 it's need to be to have an angle i think.  

Step-by-step explanation:

Because it's a-c so abc is 120  

a-b is 130 and b-c it's gona be 180  

I might be wrong but i have 2 answer 120 130 180 or

130 180 120.

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer:

\(y = \frac{2}{3} x - 3 \frac{2}{3} \)

Step-by-step explanation:

Let's rewrite the given equation in the form of y= mx +c, where m is the gradient while c is the y-intercept.

2x -3y= 9

3y= 2x -9

Divide by 3 throughout:

\(y = \frac{2}{3} x - 3\)

Thus, the gradient of given line is ⅔.

Parallel lines have the same gradient.

Therefore, gradient of line is ⅔.

Substitute m=⅔ into the equation:

\(y = \frac{2}{3} x + c\)

To find the value of c, substitute a pair of coordinates.

When x=4, y= -1,

\( - 1= \frac{2}{3} (4) + c \\ - 1 = \frac{8}{3} + c \\ c = - 1 - \frac{8}{3} \\ c = - 3 \frac{2}{3} \)

Substitute the value of c:

\(y = \frac{2}{ 3} x - 3 \frac{2}{3} \)

24. The price of the motorcycle before tax was $11,500. 25. the instructor earns $28.75 per class after the raise. 26.  the sum that Kay and Shay paid, including tax, was $28.62.

An equation is a mathematical statement that asserts that two expressions are equal. Equations are used to represent relationships and constraints between variables, and are commonly used in many fields of science, engineering, and mathematics.

An equation consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). Each side of the equation can contain numbers, variables, mathematical operations (such as addition, subtraction, multiplication, and division), and parentheses.

The goal of solving an equation is to determine the value(s) of the variable(s) that make the equation true. This is typically done by applying mathematical operations to both sides of the equation in order to isolate the variable on one side and simplify the expression on the other side.

24. Let the price of the motorcycle before tax be represented by x. Then, we can write an equation based on the given information:

0.125x = 1437.50

Solving for x, we get:

x = 1437.50 / 0.125 = $11,500

Therefore, the price of the motorcycle before tax was $11,500.

25. The instructor now earns 115% of $50, or:

$50 x 1.15 = $57.50

Since this is the amount earned for teaching 2 classes, the amount earned per class after the raise is:

$57.50 / 2 = $28.75

Therefore, the instructor earns $28.75 per class after the raise.

26. To find how much Kay paid, we first need to calculate the tax:

0.08 x $14.50 = $1.16

So the total amount Kay paid was:

$14.50 + $1.16 = $15.66

Similarly, the tax Shay paid was:

0.08 x $12 = $0.96

So the total amount Shay paid was:

$12 + $0.96 = $12.96

Therefore, the sum that Kay and Shay paid, including tax, was:

$15.66 + $12.96 = $28.62

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Answer:

d) F2 = -F1.

Step-by-step explanation:

According to Coulomb's law of forces on electrostatic charges, the force of attraction is proportional to the product of their charges, and inversely proportional to the square of their distance apart.

What this law means is that both particles will experience an equal amount of force on them, due to the presence of the other particle. This force is not just as a result of their individual charges, but as a result of the product of their charges. Also, the force is a vector quantity that must have a direction alongside its magnitude, and the force on the two particles will always act in opposite direction, be it repulsive or attractive.

Answer:

B. 1 + ln 2 - ln x

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle ln(\frac{2e}{x})\)

Step 2: Simplify

Answer:

(B)\(\dfrac{dA}{dt}=8-0.004A\)

Step-by-step explanation:

Volume of fluid in the tank =1000 gallons

Initial Amount of Salt in the tank, A(0)= 30 pounds

Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.

Rate In=(concentration of salt in inflow)(input rate of brine)

\(=(2\frac{lbs}{gal})( 4\frac{gal}{min})=8\frac{lbs}{min}\)

The resulting mixture is pumped out at the same rate, therefore:

Rate Out =(concentration of salt in outflow)(output rate of brine)

\(=(\frac{A(t)}{1000})( 4\frac{gal}{min})=\frac{A}{250}\)

Therefore:

The rate of change of amount of salt in the tank,

\(\dfrac{dA}{dt}=$Rate In-Rate out\\\dfrac{dA}{dt}=8-\dfrac{A}{250}\\\dfrac{dA}{dt}=8-0.004A\)

Since in about 675 revolutions of the wheel, Songhee travels one mile, then in about:

Songhee travels 10 miles.

Then:

Now, we know that Songhee rides her bicycle at 10 miles per hour, substituting 10mi=6750revolutions we get that Songhee rides her bicycle at:

Answer: 6750 revolutions per hour.

Answer:26

Step-by-step explanation:60 minus 6, equals 52. you need to do 60-6 to get the twice the sum of a number. divide 52 by 2, since its twice the sum of a number. 52 divided by 2 is 26. you can check your answer by doing 26 times 2 plus 6, and get 60.

The equation for the monthly charge as function of the number of kWh used is: y = 10.34x + 11.00.

A linear function, where y is a function of x, is expressed as, y = mx + b, where:

Using the information given:

The initial value of the function = b (y-intercept) = ​11.00

the unit rate of the function = m (slope) = 10.34

To write the equation that represents the monthly charge (y in dollars) as function of kWh used (x), substitute m = 10.34 and b = 11.00 into y = mx + b:

y = 10.34x + 11.00

Therefore, the equation for the monthly charge as function of the number of kWh used is: y = 10.34x + 11.00.

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Answer:

The absolute value is 5 1/6

Step-by-step explanation:

The absolute value is how far away an answer is to zero so we just take away the negative for this question.

If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.

The volume of a rectangular prism is given by the formula:

Volume = length x width x height

Substituting the given values, we get:

Volume = 2 meters x 4 meters x 2 meters

Simplifying this expression, we get:

Volume = 16 cubic meters

Therefore, the volume of the prism is 16 cubic meters.

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Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

The answer is 457,900 because the number in the tenths place is higher than 5 therefore You round it up.

Answer:

1st 306.36 2nd 10.78 3rd 355.25

Step-by-step explanation:

bc i just skipped and it showed me the answers

The measure of angle POQ is given as follows:

30º.

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

The radius of the circle in this problem is given as follows:

r = OP = 2.

(distance of the center O to point P on the circumference).

Hence the area of the circle is given as follows:

A = 4π.

The area of the sector is given as follows:

π/3.

The ratio of the area of the sector and the area of the circumference is given as follows:

(π/3)/(4π) = 1/12.

The entire area has a measure of 360º, hence the angle measure is obtained as follows:

1/12 x 360 = 30º.

The problem is given by the image presented at the end of the answer.

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