Given f(x) = -8x3+2x2+5x and g(x) = -2x+6-6x3, find f(x) - g(x)
Please help

~one variable linear equation

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-4(2x - 5) = 3x - 13

= -8x + 20 = 3x - 13

= -8x + 20 - 3x = -13

= -8x - 3x = -13 - 20

= -11x = -13 - 20

= -11x = -33

= x = -33 ÷ -11

= x = 3 ✔️

~ nice to help you ^^

Answer:

2(4d-2) & 4(2d-1)

Step-by-step explanation:

I cant explain but,

Hope this answer Help!!!!

Have A Nice Day/Night!!!!!

Answer:

(8 × d) - 4

(8 × d) - 4 + 4 - 4

4(2d - 1)

2(4d-2)

Answer:

Me, I just learned it, I can help

Step-by-step explanation:

Formula:

ax^2 + bx + c

Answer:

the quadratic formula is x = (-b +_ √b^2 -4ac)/2a

find a, b, and c by this: ax^2 +bx + c = 0

and plug the value into the quadratic formula

Step-by-step explanation:

b = age of Bailey

c = age of Celine

b + c = x

c = b + 8

so, using that identity in the first equation

b + b + 8 = x

2b + 8 = x

or, to go "after" c (Celine) :

b = c - 8

c - 8 + c = x

2c - 8 = x

2c = x + 8

c = (x + 8)/2

in x years c will have increased to c+x, and b to b+x.

so,

b + x + c + x = x + 2x = 3x

and

2c - 8 = 3x

2c = 3x + 8

c = (3x + 8)/2

Answer:

The answer is D

Step-by-step explanation:

Answer:

 D.) $2,600.00

Step-by-step explanation:

The interpretation of the confidence interval in the context of this problem is as follows:

Since the 90% confidence interval of the difference of population means, M1-M2, is (.399, .149), it means that there is a 90% probability that the true value of the difference between the population means of football and basketball players lies between these two numbers.

The value .399 represents the upper limit of the difference in the population means, which means that we can be 90% confident that the difference in mean height of football players and basketball players is no more than .399 feet (or approximately 4.79 inches).

Similarly, .149 is the lower limit of the difference in the population means, which means that we can be 90% confident that the difference in mean height of football players and basketball players is at least .149 feet (or approximately 1.78 inches).

Therefore, we can conclude that there is strong evidence to suggest that football players are taller than basketball players, based on the given sample data.

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Answer:

AB is 17 and the midpoint of AB is (-2, - 2.5).

Step-by-step explanation:

As mentioned in the previous answer, an expression for the amount of pumpkin pie, p(t), as a function of time, t, using an exponential function is:

p(t) = p_0 e^(-kt)

where:

To illustrate the use of the exponential function, we can work through an example:

Suppose that the initial amount of pumpkin pie is 1000 grams, and the decay rate constant is k = 0.01 per minute. We can write the expression for the amount of pumpkin pie as:

p(t) = 1000 e^(-0.01t)

To evaluate the amount of pumpkin pie, p(t), after 30 minutes, we substitute t = 30 into the equation:

p(30) = 1000 e^(-0.01*30)

p(30) = 740.82 grams

This means that after 30 minutes, the amount of pumpkin pie remaining is approximately 740.82 grams.

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The line integral ∫C(2xsinydx)+(x²cosy-3y²)dy  from (-1, 0) to (5, 1) along a rectangular path is equal to 21.

The line integral is independent of the path, which means the value of the line integral does not depend on the specific path connecting the given start and end points, i.e. (-1,0) and (5,1). This is because line integrals are defined by the vector field and not by the path but the path is used to evaluate the integral.

To evaluate the line integral, we can use a rectangular path from (-1, 0) to (5, 1). The line integral along this path is given by:

∫C(2xsinydx)+(x²cosy-3y²)dy

= ∫(-1,0)→(5,0)(2xsin(0)dx) +(x²cos(0)-3y²)dy + ∫(5,0)→(5,1)(2xsin(y)dx+(x²cos(y)-3y²)dy

= 0 + 0 + ∫(5,0)→(5,1)(2xsin(y)dx) + (x²cos(y)-3y²)dy

= ∫(5,0)→(5,1)(10sin(y)×dx) + (25cos(y)-3y²)dy

= ∫(5,0)→(5,1)(10sin(y)dx) + (25cos(y)dy - 3y³/3 dy)

= 10[cos(1)-cos(0)] + 25[sin(1)-sin(0)] - 3/3[1³-0³]

= 10[cos(1)-cos(0)] + 25[sin(1)-sin(0)] -1

= 10(-2)+25(2)+1 = 21

Hence, the line integral ∫C(2xsinydx)+(x²cosy-3y²)dy  from (-1, 0) to (5, 1) along a rectangular path is equal to 21.

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"Your question is incomplete, probably the complete question/missing part is:"

Show that the line integral is independent of the path and evaluate the integral:

∫C(2xsinydx)+(x²cosy-3y²)dy where C is any path from (-1, 0) to (5, 1).

The area of a triangular lot with side lengths of 327 feet, 177 feet, and 200 feet is approximately 19636.7 square feet.

To find the area of a triangle, we can use Heron's formula, which states that the area (A) of a triangle with side lengths a, b, and c can be calculated using the following formula:

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, given by:

s = (a + b + c) / 2

In this case, the side lengths are a = 327 feet, b = 177 feet, and c = 200 feet. We can substitute these values into the formulas to find the area.

First, calculate the semi-perimeter:

s = (327 + 177 + 200) / 2 = 352.5

Next, substitute the values into the area formula:

A = √(352.5(352.5-327)(352.5-177)(352.5-200))=19636.7 square feet

Rounding this result to one decimal place, we find that the area of the triangular lot is approximately 19636.7 square feet.

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The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

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Answer:

I found this : graph the inequality by finding the boundry line, then shading the appropriate area

8 > 10p^2h-8c/5   (draw a line under the >)

Step-by-step explanation:

Answer:

x = 21

Step-by-step explanation:

4 - 7x +10 = 15 - 6x - 8

-7x + 14 = -6x -7

14 + 7 = -6x + 7x

21 = x or x=21

Thus, the in a triangle PQR, with the sides PQ, QR and PR formed a right angled triangle.

If we know the lengths of two of the sides of a right triangle, we can apply the Pythagorean theorem to determine the third side.

Given data:

IN right triangle, the longest side is called the hypotenuse.

So,

hypotenuse H = 25

Now using Pythagorean theorem:

(PR)² = (PQ)² + (QR)²

(25)² = (20)² + (15)²

625 = 400 + 225

625 = 625

LHS = RHS

Thus, the in a triangle PQR, with the sides PQ, QR and PR formed a right angled traingle.

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Complete question:

In a triangle PQR,the sides PQ, QR and PR measure 15 in, 20 in and 25 in respectively. prove that triangle PQR, is the right traingle.

The magnitude of vector F is 29.73.\(\( \vec{A}=5 \hat{i}-2 \hat{j}, \vec{B}=-3 \hat{i}+4 \hat{j} \),\) and\(\( \vec{F}=2 \vec{A}-4 \vec{B} \).\)

We need to find the magnitude of \(\( \vec{F} \)\).The magnitude of a vector is defined as the square root of the sum of squares of its components.

It can be mathematically represented as
,\(\[\left | \vec{A} \right | = \sqrt{\vec{A}\cdot \vec{A}}\]\)
Using this formula, we can find the magnitude of vector F as

\(,\[\vec{F}=2 \vec{A}-4 \vec{B} \]\[\vec{F}=2 (5 \hat{i}-2 \hat{j})-4 (-3 \hat{i}+4 \hat{j})\]\[\vec{F}=10\hat{i}-4\hat{j}+12\hat{i}-16\hat{j}\]\[\vec{F}=22\hat{i}-20\hat{j}\]\)

The magnitude of the vector F is
,\(\[\left | \vec{F} \right | = \sqrt{\vec{F}\cdot \vec{F}}\]\[\left | \vec{F} \right | = \sqrt{(22\hat{i})^2+(-20\hat{j})^2}\]\[\left | \vec{F} \right | = \sqrt{484+400}\]\[\left | \vec{F} \right | = \sqrt{884}\]\[\left | \vec{F} \right | = 29.73\]\)

Therefore, the magnitude of vector F is 29.73.

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Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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The order of events from least likely to most likely are as follows:

The reason for this order is because of the chances of each event occurring. Event D has the least chance of occurring because no numbers in the set have a value less than or equal to 0. Event A is the next least likely because only one number in the set is greater than 0, which is the number 1. Event C is the next least likely because only two numbers in the set are at least 2 (2 and 3). Event B is the next least likely, as there are only five even numbers in the set (2, 4, 6, 8, and 10). Events E, F, G, and H are the most likely to occur, because of the number of numbers that are divisible by 3, and 5, and are prime numbers.

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We can factorize the cubic equation to get the following:

x³ + 2x² - 15x = x*(x + 5)*(x - 3)

There we can see the factor x + 5, so the correct option is B.

We want to factorize the expression:

x³ + 2x² - 15x

First we can take x as a common factor so we get:

x*(x² + 2x - 15)

Now we can find the solutions of:

(x² + x - 15) = 0

To factorize the rest.

Using the quadratic formula, we will get:

\(x = \frac{-2 \pm \sqrt{2^2 - 4*1*(-15)} }{2*1} \\\\x = \frac{-2 \pm 8 }{2}\)

So the two solutions are:

x = (-2 -8)/2 = -5

x = (-2 + 8)/2 = 3

Then the complete factorization of the cubic equation is:

x³ + 2x² - 15x = x*(x + 5)*(x - 3)

Then the correct option is B.

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As per the statement the function which is best suited for this calculation is averageif.

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Answer:

Multiplying a quantity by a conversion factor changes the units that measure a quantity but does not change the original amount of the quantity.

Step-by-step explanation:

There is no explanation

Answer:

The standardized score for the given data value is -1.6

(or, z = -1.6)

Step-by-step explanation:

Mean = M = 100

Standard Deviation = S = 25

Data point = x = 60,

finding z,

\(z =(x-M)/S\\z = (60-100)/25\\z = -40/25\\z=-8/5\\z=-1.6\)

Hence

z = -1.6

The length of the inside of the garden is 50 feet.

What is perimeter ?

A perimeter is a closed path that covers, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter.

There are various practical applications for calculating the perimeter. A calculated perimeter is the length of fencing needed to completely encircle a yard or garden. The perimeter (circumference) of a wheel/circle describes how far it will roll in one revolution. Similarly, the amount of string wrapped around a spool is proportional to the spool's perimeter; if the string length were correct, it would equal the perimeter.

Given :

The rectangular garden has a perimeter of 280 feet

breadth = 90 feet

Let the length be x.

Therefore according to the question,

2( 90 + x ) = 280

=> 90+ x = 140

=> x = 50

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The derivative of the function \(f(x) = \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}\) will be given below.

\(f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(1.5x^3 + 4x^2 + 2x + 2)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}\)

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decrease.

The equation of the function will be given as,

\(f(x) = \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}\)

The derivative of the function will be given as,

\(f'(x) = \dfrac{d}{dx} \ \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} \\\\\\f'(x) = \dfrac{2 + 2(x^2 + 1)(0.5x^2 + 2x + 1) \cdot (x + 2) + (0.5x^2 + 2x + 1)^2 \cdot 2x}{2\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} }\\\\\\f'(x) = \dfrac{2 + (0.5x^2 + 2x + 1)[2(x^2 + 1)(x + 2) + (0.5x^2 + 2x + 1) \cdot 2x]}{2\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} }\\\)

Solve the equation further, then we have

\(f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)[(x^2 + 1)(x + 2) + (0.5x^2 + 2x + 1) \cdot x}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}\\\\\\f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(x^3 + 2x^2 + x + 2 + 0.5x^3 + 2x^2 + x)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}\\\\\\f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(1.5x^3 + 4x^2 + 2x + 2)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}\)

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We cannot determine the exact amount of fencing Sam needs.

To find out how many feet of fencing Sam needs, we need to calculate the total perimeter of his garden.

First, let's find the length of the two sides that are already near a fence. Since these sides are already taken care of, we don't need to include them in our calculation.

Now, let's focus on the other two sides that are 15 and 23 feet long. To find the total perimeter, we need to add the lengths of all four sides together.

So, the total perimeter is 15 + 23 + (length of the two sides near the fence) + (length of the other side near the fence).

Since we don't know the length of the sides near the fence, we cannot calculate the exact length of the total perimeter.

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Three different whole numbers whose sum and product are equal are 1, 2, and 3.

1 + 2 + 3 = 6

1 x 2 x 3 = 6

As demonstrated above, the sum and product of 1, 2, and 3 is the same.

Hope this helps!! :)

Answer:

1 2 and 3

Step-by-step explanation:

Answer:

L^2 = area of square = As

As = 14 L H / 2      where L H /2 = area of triangle

L^2 = 14 L H / 2

H = L / 7    or L = 7 H

Let the length of one side of square = 7 in

As = 7^2 = 49 in^2        area of square

H = 7     height of one side of triangle (other side = 1)

Area of triangle = 7 * 1 / 2 = 7/2 in^2

14 * At = 49

Area of square 7 * 7 = 49 in^2      Seems to checkout

R= 1 and the interval of convergence is (-1, 1].

To find the radius of convergence, we can use the ratio test:

lim n→∞ |(-1)^n x^(n+1) Vn+5| / |(-1)^n x^n Vn+5| = lim n→∞ |x|

This limit exists for all x, and it equals 1 when |x| = 1. Therefore, the radius of convergence is R = 1.

To determine the interval of convergence, we need to check the endpoints x = -1 and x = 1 separately.

When x = -1, the series becomes:

∑ (-1)^n (Vn+5)

This is an alternating series with decreasing terms, so it converges by the alternating series test.

When x = 1, the series becomes:

∑ (-1)^n (Vn+5)

This is again an alternating series with decreasing terms, so it also converges by the alternating series test.

Therefore, the interval of convergence is (-1, 1].

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Answer:$2.40

Step-by-step explanation: divide the ounce with the cost

12 / 4.99 =2.40

I would say maybe 41 or 42 cents

Answer:

1) 0.04, 3.6

2) 0.35, 49

Step-by-step explanation:

Answer:

1. 90x0.04= 3.6

2. 140x0.35=49

Step-by-step explanation:

convert to decimal to calculate the percent.

Answer:

Step-by-step explanation:

Step-by-step explanation:

let's assumed that

x = 1h of horseback

y = 1h of parasailing

3h of horseback = 3x

2h of parasailing = 2y

and

2h of horseback = 2x

3h of parasailing = 3y

if

3x + 2y = 192

2x + 3y = 213

to find y we have to remove the x

(3x + 2y = 192) × 2

(2x + 3y = 213) × 3

6x + 4y = 384

6x + 9y = 639

___________ -

-5y = -255

y = 51

substitute y to any equation to find x

3x + 2y = 192

3x + 2(51) = 192

3x + 102 = 192

3x = 192 - 102

3x = 90

x = 30

so the answers are 1h of horseback = $30 and 1h of parasailing = $51