What are the zeros of the function?

F (X) = x^3 - x^2 - 6x

A) -1, 0, and 3

B) -3, 0, and 1

C) -3, 0, and 2

D) -2, 0, and 3

It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to -1.

Let the number of rabbits in the pet store is x

And the number of hamsters in the pet store is y.

Now, we have been given that pet store has 26 rabbits and hamsters. Thus, we have the linear equation

[tex]x+y=26...........(1)[/tex]

Now, number of rabbits is 2 more than double the number of hamsters. Hence, we have

[tex]x=2+2y[/tex]

Substituting this value of x in equation 1, we get

[tex]2+2y+y=26\\ 3y=24\\ y=8[/tex]

Thus, there are 8 hamsters in the pet store.

Answer:

6.74

Step-by-step explanation:

add all numbers and divide how many numbers there are.

Answers:

Equation: [tex]q=\frac{76}{4} +10[/tex]

Questions: [tex]29[/tex]

Also, the verified Tutor above is in fact correct, but this answer is way more simple and easier to understand, thank you for your time :D

Explanation:

                First, we need to find out the questions, even though the first question is, "What is the equation?". So, to the find the answer to how many questions there are in total we need to grab the total points "[tex]76[/tex]" and divide that by "[tex]4[/tex]" because that'll tell us how many questions that he answered correct. Especially since the "[tex]10[/tex]" questions he got wrong didn't affect his points.

                So [tex]\frac{76}{4} =19[/tex]. Now we must add 10 to 19. [tex]10+19=29[/tex]. And so [tex]29[/tex] is the total amount of questions. Now we must write down how we found out. We found out by dividing [tex]76[/tex] and [tex]4[/tex], then we added [tex]10[/tex]!

Conclusion:

                 As simple as that, we found out how many questions there were in total and how we found out! Thank you for sticking with me♥!

Using the Fundamental Theorem of Calculus Part 1, the derivative of the function g(x) = ∫ (x e2t2 - 4t) dt from x=4 is ex2 - 4x where 'x' is the variable 't' from the integral.

The subject of this question is the use of part 1 of the Fundamental Theorem of Calculus to find the derivative of a complex function. This theorem states that if f is a function that is continuous over the interval [a, b] and F is an antiderivative of f on the interval [a, b], then the definite integral of f from a to b is equal to F(b) - F(a).

In your specific question, you are asked to find the derivative of the function g(x) = ∫ (x e2t2 - 4t) dt  from x=4.

The derivative of a definite integral, from a constant to a variable, of a function is simply the original function evaluated at the upper limit.

Therefore, the derivative of the given function g(x) is simply ex2 - 4x, treating 'x' as the variable 't' from the integral.

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The correct coefficients (reading from left to right) are chemical equation is balanced as 1PBr₃(l) + 3H₂O(l) → H₃PO₃(aq) + 3HBr(aq). which is the correct answer would be an option (A).

Mass, according to the rule of conservation of mass, cannot be generated or destroyed. As a result, the mass of products must match the mass of reactants. Each element's atom count must be identical on the reactant and product sides. As a result, chemical equations are balanced.

According to the given question,

We have to substitute the coefficients (reading from left to right) are 1,3,1,3 in the given chemical equation

Thus, the correct coefficients (reading from left to right) are balanced chemical equation as :

⇒ 1PBr₃(l) + 3H₂O(l) → H₃PO₃(aq) + 3HBr(aq).

Hence, the correct answer would be option (A).

To learn more about the balanced chemical equation click here :

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Answer:

3.14 2^2

Step-by-step explanation:

The expressions shows the area, in square inches, of the circle will be 3.14 × 2² square units. Then the correct option is C.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The image below is a triangle drawn inside a circle with center O:

A triangle is shown inscribed inside a circle.

The leg of the triangle labeled 4 inches passes through the center of the circle, O.

The other two legs are labeled as 2 inches and 3 inches.

The expressions shows the area, in square inches, of the circle will be

Area of circle = (π/4) d²

The diameter of the circle is passing through center. Then the length of the diameter is 4.

Then the area of circle will be,

Area = (π/4) 4²

A = 3.14 × 4

A = 3.14 × 2² square units

The expressions shows the area, in square inches, of the circle will be 3.14 × 2² square units.

Then the correct option is C.

More about the circle link is given below.

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Answer:

Option B) 3

Step-by-step explanation:

we have the number

4162 0012 3456 789a

Find the value of a (check number)

step 1

Multiply every even-position digit (when counted from the right) in the number by two. If the result is a two digit number, then add these digits together to make a single digit

4162 0012 3456 789a

9(2)+7(2)+5(2)+3(2)+1(2)+0(2)+6(2)+4(2)

(18)+(14)+(10)+(6)+(2)+(0)+(12)+(8)

Remember that If the result is a two digit number, then add these digits together to make a single digit

so

(1+8)+(1+4)+(1+0)+(6)+(2)+(0)+(1+2)+(8)

(9)+(5)+(1)+(6)+(2)+(0)+(3)+(8)=34

step 2

add every odd-position digit

4162 00123456 789a

so

8+6+4+2+0+2+1=23

step 3

Adds  the result in step 1 and the result in step 2

34+23=57

The check-digit is what number needs to be added to this total to make the next multiple of 10

In our case, we’d need to add 3 to make 60

therefore

The check number is 3

To find the number of rows needed for 528 students to each have a seat in a school auditorium with 33 seats in each row, divide the total number of students by the number of seats in each row. The answer is 16 rows.

To find the number of rows needed for 528 students to each have a seat in a school auditorium with 33 seats in each row, we need to divide the total number of students by the number of seats in each row.

So, the number of rows needed would be:

Rows needed = Total number of students ÷ Number of seats in each row

Substituting the given values:

Rows needed = 528 ÷ 33 = 16

Therefore, 16 rows are needed for 528 students to each have a seat in the auditorium.

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Answer:

109.14

Step-by-step explanation:

to Start off do 60 x .70, then add the answer to 60, then multiply by .07 then add that to 102, for the answer of 109.14

Answer:

Option A

Step-by-step explanation:

From the graph attached, we will write the transformation as followed.

a. Trapezoid k is dilated by a scale factor of [tex]\frac{3}{2}[/tex]

   [ Since scale factor = [tex]\frac{\text{Largest side of k'}}{\text{Largest side of k}}[/tex]

                                   =  [tex]\frac{12units}{8units}[/tex]

                                   = [tex]\frac{3}{2}[/tex] ]

2. scaled trapezoid then rotated by 180°.

3. Then rotated trapezoid is shifted 1 unit down.

  By these transformations Bella's sequence was correct.

Therefore, Option A is the answer.

Final answer:

In calculus, summation involves adding discrete values, while integration is akin to adding an infinite number of infinitesimally small products to find areas, volumes, etc. Integral calculus extends these concepts to continuous functions and is used, for example, to find position from acceleration by integrating twice.

Explanation:

The transition from summation to integral in calculus is an important concept that bridges the discrete world with the continuous. When we summate, we're adding together values to find a total amount. In a similar vein, an integral can be thought of as a continuous sum, where we're adding up infinitely small products to calculate an area, volume, or other quantities.

When performing an integral, the dimensions of what we're integrating must be consistent. For example, if we're integrating velocity (v) with respect to time (t), we obtain a dimension that is the product of the two, such as distance. This principle is rooted in the requirement of dimensional consistency, analogously understood in the phrase "You can't add apples and oranges."

Understanding the relationship between discrete sums and continuous integrals is crucial for applications in various fields, such as physics where integrals can represent cumulative effects over time or space. For example, integrating an acceleration function gives us velocity, and further integration yields position. This process allows us to work backward from acceleration to position, utilizing the power of integral calculus.

The account's worth, W, as a function of the number of years, y it has been gaining interest is given by the equation W = $350 + ($350  imes 0.035  imes y).

The equation that gives the account's worth, W, as a function of the number of years, y, it has been gaining interest is:

W = $350 + ($350  imes 0.035  imes y)

Here's an example:

If the account has been gaining interest for 2 years, then W = $350 + ($350  imes 0.035  imes 2) = $364.70.

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Answer:

The graph of given function is shown below.

Step-by-step explanation:

The given function is

[tex]y=|x-1|-4[/tex]           .... (1)

The vertex form of a absolute function is

[tex]y=a|x-h|+k[/tex]         .... (2)

where, a is a constant and (h,k) is vertex.

On comparing (1) and (2), we get

[tex]a=1,h=1,k=-4[/tex]

The vertex of the function is (1,-4). The table of values is

x            y

3          -2

2          -3

1          -4

0          -3

-1          -2

Plot these points on a coordinate plane. Draw a V-shaped curve by connecting these points with vertex at (1,-4).

Answer:

$ 280 4 weeks

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

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