online sales result in 35% of sales being returned to their local brick-and-mortar store. what is 35% of 2,000 purchases?

a. 70
b. 240
c. 350
d. 700

Answer:

-10, -1, 5

Step-by-step explanation:

The zeroes of the function are -

x = -10, 5, -1

We have the following function -

f(x) = (x + 10)(x − 5)(x + 1)

We have to determine its zeroes.

In order to find the zeroes of the function, equate f(x) = 0.

(x + a)(x + b) = 0

(x + a) = 0     or     (x + b) = 0

x = - a     or      x = -b

Zeroes = -a , -b

According to question, we have -

f(x) = (x + 10)(x − 5)(x + 1)

Equate f(x) = 0

(x + 10)(x - 5)(x + 1) = 0

(x + 10) = 0       or      (x - 5) = 0      or       (x + 1) = 0

x = -10        x = 5      x = -1

Hence, the zeroes of the function are -

x = -10, 5, -1

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To find the values of a, b, c, and d, we will use the given information about the function f(x).

1. Local maximum at y-intercept:
Since the local maximum occurs at the y-intercept of the function, we know that f(0) = 4.
Substituting x = 0 into the function f(x), we get:
F(0) = a(0)^3 + b(0)^2 + c(0) + d = d = 4
Therefore, d = 4.

2. Point of inflection:
At the point of inflection (-1/2, -9/2), the second derivative of the function changes sign.
To find the second derivative, we differentiate f(x) twice:
F’(x) = 3ax^2 + 2bx + c
F’’(x) = 6ax + 2b

Substituting x = -1/2 into f’’(x) and equating it to 0:
6a(-1/2) + 2b = 0
-3a + 2b = 0
2b = 3a
B = (3/2)a

3. Substitute b and d into the function:
We can now rewrite the function f(x) with the values of b and d:
F(x) = ax^3 + (3/2)ax^2 + cx + 4

4. Use the remaining information to find the value of a and c:
We know that the local maximum occurs at the y-intercept (0, 4). Substituting x = 0 into the function:
F(0) = a(0)^3 + (3/2)a(0)^2 + c(0) + 4
4 = 0 + 0 + 0 + 4
4 = 4

This equation tells us that a + c = 0. Therefore, c = -a.

5. Final expression for the function:
Substituting c = -a into the function, we get:
F(x) = ax^3 + (3/2)ax^2 – ax + 4

In summary, the values of a, b, c, and d for the function f(x) = ax^3 + bx^2 + cx + d are:
A = any real number
B = (3/2)a
C = -a
D = 4


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Answer:

Step-by-step explanation:

40 : 5.4 = 7.4

Answer:

Um what’s this language?

Step-by-step explanation:

Katie's average speed during the marathon was approximately 12.7 km/h.

To calculate the average speed, we divide the total distance covered by the total time taken. In this case, Katie ran 34 km in a time span of 2.5 hours, which is equivalent to 150 minutes.

Therefore, her average speed is 34 km / 150 min, which is approximately 0.2267 km/min.

To convert this to km/h, we multiply by 60 to get 0.2267 km/min * 60 min/h = 13.6 km/h (rounded to the nearest tenth).

Therefore, Katie's average speed during the marathon was approximately 13.6 km/h.

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Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?

Pick one:

5cm

20cm

200cm

720cm

--------------------

scale = 1:6000

so

1200 : 6000 =  0.2m

0.2m = 20 cm

Answer:

20cm

Step-by-step explanation:

«A scale of 1:6000» means the model is smaller than the bridge by a factor of 6000. We can also make up a proportion \(\dfrac{1}{6000}=\dfrac{x}{1200}\), where the left side is the scale, x is the model length, 1200 is the bridge length (in meters). So, finding x or just dividing 1200 by 6000, we get 0.2 meters. Provided 1 m = 100 cm, 0.2 m is 0.2 × 100 = 20 cm.

If 192 is 60%, then 10% would be 32.

Then you can multiply both sides by ten.

This would get you: 100% would be 320 people.

Can you please give me brainliest?

Answer:

\(m=-2\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 2)

Point (2, 0)

Step 2: Find slope m

And we have our final answer!

Answer:

The GCF of 24 & 30 would be 6. The LCM of 24 & 30 would be 120.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Given:

The equation of polynomial is

\(2x^3-5x^2+1=0\)

To find:

All rational roots of the polynomial.

Solution:

According to the rational root theorem, all the possible rational roots of a polynomial are defined as

\(x=\dfrac{p}{q}\)

where, p is a factor of constant term and q is factor of leading coefficient.

We have,

\(2x^3-5x^2+1=0\)

Here, leading coefficient is 2 and constant term is 1.

Factors of 1 are ±1.

Factors of 2 are ±1, ±2.

Using rational root theorem, we get

\(x=\pm \dfrac{1}{1},\pm \dfrac{1}{2}\)

\(x=\pm 1,\pm \dfrac{1}{2}\)

Therefore, all possible rational roots of the given polynomial are \(\pm 1,\pm \dfrac{1}{2}\).

Answer:

above sea level

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Over b

The measure of the amount of random sampling error in a survey's result is known as margin of error.

The margin of error is a statistical concept that quantifies the degree of uncertainty or sampling error associated with survey results. It provides an estimate of the range within which the true population parameter is likely to fall. The margin of error is typically expressed as a percentage and is based on the sample size and the level of confidence desired.

In survey research, random sampling error refers to the natural variability that occurs when a subset of individuals, known as the sample, is selected to represent a larger population. It arises because the sample is not an exact replica of the entire population. The margin of error takes into account this inherent variability and provides a measure of how much the survey results might deviate from the true population values.

A larger sample size generally leads to a smaller margin of error, as it reduces the random variability associated with sampling. Similarly, a higher level of confidence, such as 95% confidence level, results in a larger margin of error to account for a wider range of potential values.

By considering the margin of error, survey researchers can assess the reliability and precision of their findings, providing a range of values within which the true population parameter is likely to reside.

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Answer:

3.14     (or pi )  feet  

Step-by-step explanation:

Entire circle circumference  = pi *d  = 8 pi    feet

45 degrees is a fraction of the entire 360 degrees of the circle

   45 / 360  *  8 pi = pi =  3.14 ft

Answer:

8 hours

Step-by-step explanation:

520 miles divided by 65mph

Answer:

3.0pages

Step-by-step explanation:

If Tiffany type a page in an hour, then;;

1 page = 1 hour

To calculate the number of pages typed in 3 hours, we can express as;

x pages = 3 hours

Divide both expressions

1/x = 1/3

x* 1 = 1* 3

x = 3pages

She will type 3.0pages in 3 hours

In order to find the equivalent expression, we can use the following property:

So we have:

Therefore the correct option is C.

Answer:

It is $2400.

Step-by-step explanation.

let the total amount be x.

10% of x = $240

x= $240*100/10

total amount - $2400

Answer:

I dunno, maybe 2400?

Since 240 is only 10% of what Shanika wants so maybe 2400 dollars?

Step-by-step explanation:

i'm unsure if I'm correct but here's my answer now go try to help me with my homework like we bargained.

Answer:

Step-by-step explanation:

Given three sequences. Sequence A is 30, 40, 50, 60, 70,... Sequence B is 0, 5, 15, 30, 50,..

Sequence C is 1, 2, 4, 8, 16,...

The formula describing the term of sequence A is given below:

The formula describing the term of sequence B is given below:

The formula describing the term of sequences C is given below:

Answer:

girl how come you didn't come on Friday are you coming today???

Step-by-step explanation:

Answer:

5.9 hours

Step-by-step explanation:

1/13+1/11=1/x

looking for x

x= 5.9

are you clear?

Based on the given options, we can see that the equation y = 5x + 50 is the line of best fit for the given data. This equation represents a linear relationship between the x-values and the corresponding y-values.

To determine the equation of the line of fit, we look for the equation that best represents the relationship between the x-values and the corresponding y-values of the data points.

We can start by analyzing the slope of each equation. The slope represents the rate at which the y-values change as the x-values increase.

In the equation y = 5x + 50, the coefficient of x is 5, which indicates that for every increase of 1 in the x-value, the y-value increases by 5.

Similarly, the equation y = 5x + 70 also has a slope of 5, meaning the y-value increases by 5 for every unit increase in the x-value.

However, the y-intercept, which is the constant term in the equation, is different.

In the equation y = 5x + 50,

the y-intercept is 50, while in y = 5x + 70, it is 70.

Next, let's consider the other two equations. The equation y = 10x + 50 has a steeper slope than the previous two equations.

This means that for every unit increase in the x-value, the y-value increases by 10.

Finally, the equation y = 10x + 70 has both a steeper slope and a higher y-intercept than the other equations.

The equation of the line of fit is y = 5x + 50.

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A better approximation of f'(0) is 2. Therefore, option (B) is correct.

Given a formula of order 4 for approximating the first derivative of a function f gives:f(0) = 4.50557 for h = 1 and f(0) = 2.09702 for h = 0.5By using Richardson's extrapolation on the above values, a better approximation of f'(0) is the formula of order 4 for approximating the first derivative of a function f is given as : f(x+h) - f(x-h) - 2f(x) + h⁴f''(x) / 30h³ ..........(1) where, f(x+h) is the value of f(x) at x+h.f(x-h) is the value of f(x) at x-h.h is the step size.

f''(x) is the second derivative of f(x).By applying formula (1) in f(0) = 4.50557 for h = 1, we get:4.50557 = f(1) - f(-1) - 2f(0) + (1)^4 f''(0) / 30..........(2)

Similarly, by applying formula (1) in f(0) = 2.09702 for h = 0.5

We get:2.09702 = f(0.5) - f(-0.5) - 2f(0) + (0.5)⁴f''(0) / 30 ...........(3)

To apply Richardson's extrapolation method, we need to eliminate f''(0) from equations (2) and (3).

Taking (3) x 4 gives:8.38808 = 4f(0.5) - 4f(-0.5) - 8f(0) + (0.5)⁴f''(0) ...........(4)

Subtracting equation (4) from equation (2), we get:4.50557 - 8.38808 = f(1) - 4f(0.5) + 4f(-0.5) - 2f(0) ..........(5)

Solving equation (5) for f'(0), we get:f'(0) = [8f(0.5) - f(1) - 8f(-0.5) + 2f(0)] / 12= [8(2.09702) - 4.50557 - 8(0) + 2(0)] / 12= 1.99984683 ≈ 2

Hence, a better approximation of f'(0) is 2. Therefore, option (B) is correct.

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Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.

To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.

So the equivalent expression after combining like terms is:

(-1.9 + 1.2) + (5.1 - 3.6)t

Simplifying further, we get:

-0.7 + 1.5t

A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.

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Complete Question

Combine like terms to create an equivalent expression. −

3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.

Answer:

x^2 + y^2 = z^2

There are infinitely many choices for whole numbers x, y, and z.

Answer:

y+yz is: \(2x^2-2x-1\)

Step-by-step explanation:

Given expressions are:

\(y = x+\frac{1}{2}\\z = 2x-3\)

The given expressions are polynomials and we have to find the value of y+yz

First of all, we will find the product of y and z

We will use the distribution to find the product.

\(yz = (x+\frac{1}{2})(2x-3)\\= x(2x-3)+\frac{1}{2}(2x-3)\\= 2x^2-3x+x-\frac{3}{2}\\=2x^2-2x- \frac{3}{2}\)

The next step is to add y and yz

\(y+yz = (x+\frac{1}{2})+(2x^2-3x-\frac{3}{2})\\Combining\ like\ terms\\= 2x^2+x-3x+\frac{1}{2} -\frac{3}{2}\\=2x^2-2x + \frac{1-3}{2}\\=2x^2-2x+\frac{-2}{2}\\=2x^2-2x-1\)

The answer is not one of the options which i assume might be a typing mistake.

Hence,

y+yz is: \(2x^2-2x-1\)