If f(x) = 2x^3 – 5x^2 + 5, then what is the remainder when f(x) is divided by
x + 2?

Answer:

2.83333333333

Step-by-step explanation:

(3 2/5) / (1 1/5) = 2.83333333333

Answer:

85/30 or 2.833333333

Step-by-step explanation:

When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.

It is also much easier to solve after you convert these numbers to improper fractions.

In this case,

3 2/5 = 17/5

1 1/5 = 6/5

17/5 ÷ 6/5

17/5 x 5/6

85/30 (17/6 reduced)

or

2.83333333333333333333

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

For more questions on Cyclists .

https://brainly.com/question/3807925

#SPJ8

Answer:

-3

Step-by-step explanation:

The top left box on the x axis is negitive 3

Answer:

The Hypotenuse is always the greater number in length and a way you can where it is, that in your right tringle you have your Base and side. and there always a square between them, so the square will be pointing at the Hypotenuse. and the Right triangle its a triangle but one side is straight

Step-by-step explanation:

Sorry i did my best explanation

The second number line best shows how to solve –4 – (–8). This can be obtained by finding the value of –4 – (–8) and checking which number line has the required arrow mark.

The value of  –4 – (–8) is obtained.

–4 – (–8) =  –4 + 8

–4 – (–8) = 4

The arrow should move from zero to - 4 and the second arrow should move from - 4 to 4.

From the question given the number lines,

The first arrow is moving from zero to - 4.

First condition is satisfied.

The second arrow is moving from - 4 to  8.

Second condition is not satisfied.

The first arrow is moving from zero to - 4.

First condition is satisfied.

The second arrow is moving from - 4 to  4.

Second condition is satisfied.

Hence the second number line best shows how to solve –4 – (–8).

Learn more about numbers here:

brainly.com/question/17429689

#SPJ1

Answer:

25% increase bc 15/20 is 75% .100-75 is 15%

Step-by-step explanation:

set 3 no is ,x _ I ,x,x+1

X-1 + x + x + I = 84

3 X = 84

X= 84/ 3

X= 2 8

largest no is 29

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

Learn more about workers in: https://brainly.com/question/30203906

#SPJ1

The midpoint formula   \(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}\) and the length of coordinates can be determined from the formula \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\).

What are coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane.

The x-axis & y-axis are the two axes that make up a coordinate plane (vertical).

The coordinates of the origin, which is the location where the two axes connect, are (0, 0).

The following formula is used to determine the separation between two coordinates :

The midpoint formula   \(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}\) and the length of coordinates can be determined from the formula \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\).

Learn more about coordinates here:

https://brainly.com/question/20935031

#SPJ1

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

Answer: D) 54 inches = 1 1/2 yards

explanation: 1 1/2 yards = 54 inches.

Answer:

obtuse triangle

Step-by-step explanation:

one angle measures more than 90°

The number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

Permutation has to do with arrangement and combination has to do with selection.

If we are choosing 5 objects, without replacement, from 15 distinct objects, this has to do with permutation if the order of the choices is taken into consideration

15P5 = 15!/(15-5)!5!
15P5 = 15!/10!5!
15P5 = 15*14*13*12*11/5*4*3*2

15P5 = 15,444 ways

Hence the number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

Learn more on permutation here: https://brainly.com/question/11732255

#SPJ1

Complete question

Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. How many ways can this be done, if the order of the choices is taken into consideration?

Answer:

1.57631579

Step-by-step explanation:

14.975 ÷ 9.5 = 1.57631579

Answer: 360ᴼ

Step-by-step explanation:

If a figure goes 360ᴼ around the graph, it will be mapped onto itself.

360ᴼ is full circle (number of degrees in a circle), so the figure just went around in a circle, back into the same location before it rotated.

Answer:

360

Step-by-step explanation:

i took the text

Answer:

Starting time: 1:37

Step-by-step explanation:

Instead of proof to solve the problem, let us prove that the starting time above is correct;

1. There are 60 minutes in an hour, so 60 - 37 = the minutes 'till 2:00, or 23 minutes

2. Knowing that the time the truck stopped driving through the neighborhood was 5 minutes past 2:00, the minute difference being 23 + 5, or 28 minutes

Proved: 28 minutes

You made a typo here. There are TWO equal signs. Post the correct question.

Answer:

it should be 450 yards

Step-by-step explanation:

A= a+b/ 2

h=27+18/ 2·20= 450

Answer:

i think it is diameter

Step-by-step explanation:

if you are in England

Answer:

CHORD

Step-by-step explanation:

A chord of a circle is any line segment joining two points on the circumference of the circle

(Diameter is the longest chord of a circle which passes through the center of the circle)

Since this line does not pass through the center,this is a chord

Answer:

2

Step-by-step explanation:

Answer:

-5 ≤ x ≤ 1 (domain)

-7 ≤ x ≤ -4 (range)

Step-by-step explanation: Domain is x values and range is y.

The length of HK is equal to: A. √768 units.

In Mathematics and Geometry, Pythagorean's theorem is represented by the following mathematical expression:

z² = x² + y²

Where:

x, y, and z represent the side length of any right-angled triangle.

Based on the diagram for right-angled triangle GHK, we can logically deduce that the height splits GK into 2 parts:

Hypotenuse = 8 units.

Hypotenuse = 32 - 8 = 24 units.

By applying the geometric mean theorem for right-angled triangles, we have:

Height = √(m × n)

Height = √(8 × 24) = √(192) units

In order to determine the length of HK in right-angled triangle GHK, we would have to apply Pythagorean's theorem:

HK² = 192² + 24²

HK² = 192 + 576

HK² = 768

HK = √(768) units.

Read more on Pythagorean theorem here: brainly.com/question/15430861

#SPJ1

Step-by-step explanation:

To find the derivative of

3x+5, apply sum rule

\( \frac{d}{dx}(3x + 5) = \frac{d}{dx} 3x + \frac{d}{dx} 5\)

The derivative of

\( \frac{d}{dx} kx = k\)

And

\( \frac{d}{dx} c = 0\)

So we have

\( \frac{d}{dx} 3x + 5 = 3\)

So the derivative of the function is 3,

Since linear equations have a constant slope, the slope at any point will be 3.

So the slope of the tangent line is 3.

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

w = 7.7 units; x = 44°

Step-by-step explanation:

Answer:

should be 38 feet

Step-by-step explanation:

P=L+L+W+W

12+12=24

7+7=14

14+24=38

Answer :140 miles

The Estimate the distance between Orlando and Jacksonville is 140 miles

The distance between Orlando and Jacksonville is 140 miles, So Option C is correct

Distance is a numerical measurement of how far apart two or more points are in space, typically in one, two, or three dimensions. It is used to describe the separation between objects, locations, or events.

Given that,

Two places name,

Orlando,

And Jacksonville

The distance between them in miles  = ?

So, the distance between two places in kilometers,

⇒ 201.24 km

It is known that,

1 km = 0.621371 miles

So that,

201.24 km  = 201.24 × 0.621371 miles

                    = 125.04470004 miles

In the options,  140 is nearest of 125

Hence, the distance between both the places is 140 miles.

To know more about distance check:

https://brainly.com/question/15172156

#SPJ5

Answer:

p = 16

Step-by-step explanation:

Given that ∆FGH is similar to ∆DEF, it follows that the ratio of their corresponding side lengths would be equal. Therefore:

\( \frac{FH}{DF} = \frac{FG}{DE} \)

FH = 12

DF = p

FG = 24

DE = 32

Plug in the values

\( \frac{12}{p} = \frac{24}{32} \)

Cross multiply

\( 12*32 = 24*p \)

\( 384 = 24p \)

Divide both sides by 24

\( \frac{384}{24} = \frac{24p}{24} \)

\( 16 = p \)

p = 16