i need help plssssssssss​

The value of the derivative, f'(x), is equal to 16x + 7.

To find f'(x), we need to take the derivative of the given function. Using the power rule and the constant multiple rule, we get:
f'(x) = 16x + 7

Now that we have the derivative, we can use the given condition f(0) = 3 to solve for the constant of integration.

We know that:
f(x) = ∫ f'(x) dx

So we can integrate f'(x) to get:
f(x) = 8x² + 7x + C
where C is the constant of integration.

Using f(0) = 3, we get:
f(0) = 8(0)² + 7(0) + C = 0 + 0 + C = C = 3

So the final equation for f(x) is:
f(x) = 8x² + 7x + 3

And the derivative is:
f'(x) = 16x + 7

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Row echelon form is a matrix form in which all non-zero elements are above and to the right of each pivot element where as Reduced row echelon form is a matrix in which all non-zero elements are also in row echelon form and the pivot elements are all 1s.

Row echelon form (REF) is a form of a matrix where all the non-zero elements are above and to the right of each pivot element. This form is particularly useful for studying the structure of a matrix, and it is useful in linear algebra for solving systems of equations.

Reduced row echelon form (RREF) is a further modified form of the row echelon form. In RREF, the pivot elements have been normalized to be 1, and all other non-zero elements are placed above and to the right of each pivot element.

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Answer:

you're correct! :)

Step-by-step explanation:

Yes it is correct dear.

Now you can make it on a graph by the solutions of the equation.

For the value of x,

\(9x + 3y = 15 \\ = > 9x = 15 - 3y \\ = > x = \frac{15 - 3y}{9} \\ = > x = \frac{3(5 - y)}{9} \\ = > x = \frac{5 - y}{3} \)

And for value of y,

\(9x + 3y = 15 \\ = > 3y = 15 - 9x \\ = > y = \frac{15 - 9x}{3} \\ = > y = \frac{3(5 - 3x)}{3} \\ = > y = 5 - 3x \: \: \: or \: \: \: \\ y = - 3x + 5\)

Answer:

Below

Step-by-step explanation:

Let's say that x represents the mystery number

3(x + 3) = 4x - 23

3x + 9 = 4x - 23

3x - 4x = -23 - 9

x = 32

Hope this helps!

Log(1), log(-1), log(i) and ii are all numbers written in the form a + bi. Log(1) = 0; log(-1) = undefined; log(i) = 0.5i; ii = -1; a = -1 and b = 0 because the number is in the form a + bi.

Given numbers are;• log(1)• log(-1)• log(i)• iiFor all numbers written in the form a + bi, we must find a and b. Here's how to do it: log(1)In this case, the log is taken in base 10. The result of this is 0. So, we have: log(1) = 0Therefore, a=0 and b=0 because the number is not in the form a + bi. log(-1)In this case, the log is taken in base 10. The result of this is undefined. This is because there is no power to which we can raise 10 to get -1. So, we have: log(-1) = undefinedTherefore, a=undefined and b=undefined because the number is not in the form a + bi. log(i)In this case, the log is taken in base 10. The result of this is 0.5iπ. So, we have: log(i) = 0.5iπTherefore, a=0 and b=0.5π because the number is in the form a + bi. iiIn this case, we are finding the square of i. i is a complex number given as i = 0 + 1i. Therefore, we have: i2 = (0 + 1i)2= (0)2 + 2(0)(1i) + (1i)2= -1This is because i2 = -1. Now, we can write ii as: ii = i × i= (0 + 1i) × (0 + 1i)= 0 + 0i + 0i + 1i2= -1So, we have: ii = -1Therefore, a=-1 and b=0 because the number is in the form a + bi.

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Answer:

(0,5) and (6,0)

Step-by-step explanation:

Answer:

(C) 2x^3 - 3x^2 - 35x + 36

Step-by-step explanation:

First multiply 2x by x^2 + 3x - 4:

(2x)(x^2 + 3x - 4)

2x^3 + 6x^2 - 8x

Next multiply -9 by x^2 + 3x - 4:

(-9)(x^2 + 3x - 4)

-9x^2 - 27x +36

Now add the two polynomials by adding like terms:

(2x^3 + 6x^2 - 8x) + (-9x^2 - 27x +36)

2x^3 + 6x^2 - 9x^2 - 8x - 27x + 36

2x^3 - 3x^2 - 35x + 36

Hope this helps (●'◡'●)

To maximize the volume of an open-top container made from a 13-inch by 48-inch piece of plastic, you need to determine the optimal size of the squares to be cut out from each corner. Let 'x' be the side length of the square removed from each corner. After cutting, the dimensions of the container will be:

- Length: 48 - 2x
- Width: 13 - 2x
- Height: x

The volume of the container can be calculated using the formula: V = L * W * H.  the dimensions, we get:

V(x) = (48 - 2x)(13 - 2x)(x)

To find the maximum volume, we need to identify the value of 'x' that maximizes V(x). This can be achieved using calculus, by finding the critical points where the derivative of the function V(x) is zero or undefined.

Differentiating V(x) with respect to x and setting the derivative equal to zero, we can solve for the optimal value of 'x'. After performing these calculations, we find that the optimal size of the square to be cut out from each corner is approximately 1.52 inches. By removing 1.52-inch squares from each corner and folding up the flaps, the open-top container will have the maximum volume.

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Answer:

25 is the correct answer

Step-by-step explanation:

pls mark brainley

( i think i did this before too)

Answer:

Just adding so you can mark them brainliest. But yeah it's 25

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

when dealing with percentages move the decimal back two to get its absolute value

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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Answer:

Just count the number of zeros:

Step-by-step explanation:

There are 4 zeros, so the answer is 5 x 10^4.

Answer:

5 * 10^4

Step-by-step explanation:

In scientific notation, the amount an exponent has indicates how many zeroes are there.

Since we see four zeroes in the number 50,000

The only equation that would fit is of course 5 * 10^4

Answer:

8/3

Step-by-step explanation:

Answer

15

hope it helps alot

Answer:

100 + 100 = 200

2 + 2 = 4

-_-

Answer:

100+100=200

2+2=4

Step-by-step explanation:

just double then like 2x2=4 and 100x2=200

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

Answer:

y = \(\frac{5}{4} x - 7\)

Step-by-step explanation:

Step 1: Add -5x to both sides.

5x − 4y + −5x = 28 + −5x

−4y = −5x + 28

Step 2: Divide both sides by -4.

\(\frac{-4y}{-4} =\frac{-5x +28}{-4}\)

y = \(\frac{5}{4}x -7\)

Answer:

y=-  -5/4x-7 go to question 7

Step-by-step explanation:

y=-  (-5x+28)

         4

then simplify if you need more steps i will show

Answer:

see explanation

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is between the limits

difference of 2 sides < x < sum of 2 sides, that is

7 - 5 < x < 7 + 5 , then

2 < x < 12

Choose any 2 values between 2 and 12 as third side, so

third side could be 6 or 9 for example

Answer:

log₃(-2x - 3) = 2

Step-by-step explanation:

logₓ(36) = 2:

To solve this equation, we need to find the value of x for which logₓ(36) equals 2. Rewriting this equation in exponential form, we have x² = 36. Taking the square root of both sides gives us x = 6.

log₃(2x - 9) = 3:

3^(log₃(2x - 9)) = 3³

By applying the property of logarithms that states logₓ(x^a) = a, we can simplify the equation further:

2x - 9 = 27

Now, let's solve for x:

2x = 27 + 9

2x = 36

x = 36/2

x = 18

log₃(216) = x:

log₃(6³) = x

3log₃(6) = x

3 + 3log₃(2) = x

log₃(-2x - 3) = 2:

- 2x - 3 = 3²

- 2x - 3 = 9

- 2x + 3 = 9 + 3

- 2x = 9 + 3

- 2x = 12

- 2x / -2 = 12/-2

x = -6

In summary, the equation that has x = -6 as the solution is the last equation: log₃(-2x - 3) = 2

If we substitute t = 9 into the equation, we get P(9) = -8.81(9)^2 + 218.7(9) + 88,369, which gives the population in the year 1999.

The population of a certain country from 1999 through 2009 can be modeled by the equation P(t) = -8.81t^2 + 218.7t + 88,369, where t represents the year and t = 9 corresponds to 1999.

To understand the model, we can break down the equation:

-8.81t^2 represents the quadratic term, which indicates the curvature of the population growth or decline over time. It shows that the population changes at a decreasing rate as t increases or decreases.

218.7t represents the linear term, which represents the linear growth or decline component of the population over time. It shows a consistent increase or decrease in population as t increases or decreases.

88,369 represents the constant term, which is the initial population in the year 1999. It is the population value when t = 9.

By plugging in different values of t between 9 and 19, we can calculate the corresponding population values for each year within that range.

For example, if we substitute t = 9 into the equation, we get P(9) = -8.81(9)^2 + 218.7(9) + 88,369, which gives the population in the year 1999.

Using this model, we can estimate the population of the country for any year between 1999 and 2009 by substituting the corresponding value of t into the equation P(t) = -8.81t^2 + 218.7t + 88,369. The equation combines both quadratic and linear components to capture the population's growth or decline over time, with the constant term representing the initial population in 1999.

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An expression for the length of the rectangle in terms of A is \($\boxed{L=x+5}$\)

We are given that the area of a rectangle is \($A=x^2+x-15$\), and we want to find an expression for the length of the rectangle in terms of A.

Recall that the area of a rectangle is given by the formula: \($A=L\cdot W$\), where L is the length and W is the width. We can use this formula to write L in terms of A and W as \($L=\frac{A}{W}$\).

We know that the rectangle has a length and a width, so we need to find an expression for the width W in terms of A. We can rearrange the given formula for A to solve for W:

\(&& \text{(substitute }L=x+5\text{)}\)

\(W&=\frac{x^2+x-15}{x+5} && \text{(divide both sides by }x+5\text{)}\)

Now that we have an expression for W in terms of A, we can substitute it into our expression for L to get:

\(L&=\frac{A}{W}\)

\(&=\frac{x^2+x-15}{\frac{x^2+x-15}{x+5}} && \text{(substitute the expression we found for }W\text{)}\&=x+5\)

Therefore, an expression for the length of the rectangle in terms of A is \($\boxed{L=x+5}$\)

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Answer:

3rd option

Step-by-step explanation:

The equation of a line in point slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Given

y - 4 = \(\frac{1}{4}\) (x - 8)

with m = \(\frac{1}{4}\) and (a, b) = (8, 4 )

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = \(\frac{1}{4}\) x + c ← is the partial equation

To find c substitute (8, 4) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = \(\frac{1}{4}\) x + 2 ← equation in slope- intercept form

Answer:

\( \frac{1}{8} \)

Answer:

The correct answer is 1/4!

Step-by-step explanation:

On Acellus

Have a great day!

The dimensions of the bookmark is 14cm.

The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area. Learn how to compute the area and perimeter of various forms. The perimeter of a square is equal to four times the length of its side, and its area is equal to the square of that length. As a result, the square's perimeter will be as follows: perimeter = 4 x side = 4 area units. As a result, given a square's size, we can determine its perimeter.

Given data

Area = 160cm

Perimeter = 56

Area = side²

Perimeter = 4(a)

Putting values in perimeter

Perimeter = 4a

56 = 4a

a = \(\frac{56}{4}\)

a = 14

The dimensions of the bookmark is 14cm.

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Answer:

Solution is in the attached photo.

Step-by-step explanation:

This question tests on the concept of the usage of the formula for work done.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

option D

Step-by-step explanation:

Took the test

Answer: the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15 (option D)

Step-by-step explanation: I took the test and got it right :)

Answer:

2+2=4

Step-by-step explanation: btw what questions?

Answer:

Wait, wheres the questions?

Step-by-step explanation: