What is the average rate of change of f(x), represented by the graph, over the interval [-1, 2]?

Answer:

qt 456u8u64t3544

Step-by-step explanation:

for wicks watchful warships x

Answer:

158,760$

Step-by-step explanation:

120,000$ + 40%=168,000$-5.5%=158,760$

Answer:

257 kg

Step-by-step explanation:

Hello!

The mass of the cow is 257 kg.

Answer:

Straight-line percent change method example

Growth rate = (489 - 402) / 402. Absolute change = 87 (489 - 402) Growth rate = 0.2164 (87 / 402) Percent change = 21.64% (0.2164 x 100)

If the total traveling time is 1 hour 8 minutes f the average speed is 45 km/h.

This is a problem from time and distance. We can solve this equation by following a few steps.

Let's assume the car travel in the city for t minutes and the average speed is v.

According to the question, the car travel outside the city for, (68- t) minutes as 1 hour 8 minutes is equal to 68 minutes.

As per the question, Outside the city, it travels at twice its former speed v.

Now, we can form an equation,  2 (15/t) =  72/(68- t).

Let's simplify the given equation. 30/t = 72/(68- t)

Or, 72t = 30(68- t)                 [cross multiplication]

Or, 72t = 2040 - 30t

Or, 102t = 2040                    [add with +30t both sides]

Or, t = 2040/102    

Or, t = 20                              [dividing by 102 both sides]

Therefore we can conclude that the average speed ( km/h) is (15×60) / 20 = 45 km/h.

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The graphs of the hyperbola have zero point of intersection.

The point of intersection is the point where two or more functions meet.

The given parameters;

3x² – 4y² + 4x – 8y +4= 0

3x² + y² + 4x – 3y +4= 0

To find the points of intersection, we simply equate both equations.

So;

3x² – 4y² + 4x – 8y +4= 3x² + y² + 4x – 3y +4

Now Cancel out the common terms

y² - 3y = - 4y² - 8y

Collect like terms;

y² + 4y²=  3y - 8y

5y² = - 5y

Divide through by 5

y² = -y

Divide through by y

y = -1

Hence, the graphs of the hyperbola have zero point of intersection.

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Filling with the information given, we have:

Multiply the original recipe by 10 (Since we have to serve 10 people)

New recipe:

Salt: 1/8 x 10 = 10/8 = 5/4 (Multiplying fractions and simplifying)

5/4 = 1 1/4 ( Converting the fraction to a mixed number)

Evaporated milk : 1 x 10 = 10 cans.

Vanilla: 1 x 10 = 10 teaspoons.

Brown sugar: 1/4 x 10 = 10/ 4 = 5/2 (Multiplying fractions and simplifying)

5/2 = 2 1/2 (Converting the fraction to a mixed number)

The values of the new recipe are:

Salt: 1 1/4

Evaporated milk: 10 cans

Vanilla: 2 1/2 teaspoons

Brown sugar: 2 1/2 cups

Answer:

mn²

Step-by-step explanation:

the square of n is n² and m multiplied by this is

mn²

Answer:

58.29 cm^2

Step-by-step explanation:

The area of a trapezium is calculated with the following formula:

[tex] \frac{a + b}{2} \times h[/tex]

(a: base, b: base, h: height)

[tex] \frac{ 7 + (10.4)}{2} \times (6.7) \\ \\ \frac{17.4}{2} \times (6.7)[/tex]

get rid of fraction by dividing (17.4) with 2

(17.4)÷2 = 8.7 multiply this with height

(8.7) × (6.7) = 58.29

The area of the given trapezium is 58.29 cm².

So, the area of the trapezium:

Solve as follows:

Therefore, the area of the given trapezium is 58.29 cm².

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Answer: $25,272 is the answer hope it helps.

Answer:

25,272 dollars in total

Answer:

  116

Step-by-step explanation:

Given the ratio 1.2 : 29, you want x in the equivalent ratio 4.8 : x.

Equivalent ratios can be written as a proportion:

  1.2/29 = 4.8/x

Multiplying by 29x, we have ...

  1.2x = 29(4.8)

Dividing by 1.2 gives ...

  x = 29(4.8/1.2) = 29(4) = 116

The ratio is the same as 4.8 to 116.

__

Additional comment

A proportion like this can be written 4 ways. The solution takes only one step if the unknown is in the numerator.

  [tex]\dfrac{1.2}{29}=\dfrac{4.8}{x},\quad\dfrac{29}{1.2}=\dfrac{x}{4.8},\quad\dfrac{1.2}{4.8}=\dfrac{29}{x},\quad\dfrac{4.8}{1.2}=\dfrac{x}{29}[/tex]

Volume = Area of the base * height

Area of the base = (7 * 6) / 2

Area of the base = 42/2

Area of the base = 21ft^2

Volume of the prism = 21 * 13

Volume of the prism = 273 ft^3 The thi

Given:

Consider the individual options and compare them with the given number.

A.

We know that

This option is correct.

B.

We know that

This option is not correct.

C.

This option is not correct.

D.

This option is not correct.

Final answer:

Option A is correct.

The coordinates of the point are (-2,4)

A coordinate grid has two lines perpendicular to each other referred to as the Axis, labeled a bit like number lines. The horizontal axis is ordinarily called the x-axis. The vertical axis is ordinarily called the y-axis. The origin is the point where the x- and y-axis meets. The numbers on a coordinate lattice are utilized to find points. Each point can be identified by a requested combination of numbers; that's, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. The requested sets are composed in enclosures (x-coordinate, y-coordinate).

For the given point, the x-coordinate is -2 on the negative x-axis, and y - coordiante is 4 on the positive y-axis.

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To solve this triangle, we cannot use either the Pythagorean Theorem or the Law of Cosines. We need more information.

Conversely, we can use SOHCAHTOA, in the sense that we can use the SOH part of this (Sine = opposite side over hypotenuse), that is, we can use angle 33 as the reference angle, and we have a right triangle here. Then, using trigonometric ratios, we can use:

We also can use the Law of Sines to solve it:

Therefore, we can solve this triangle using both Law of Sines and SOHCAHTOA. (We can select two options: c and d.)

Goran has $18 in his wallet. Rita has $25 and Kareem has $50 in his wallet.

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc.

Let the amount Goran have = X

Then, the amount Rita have= x+7

Then, Kareem has the amount = 2(x+7)

According to question

The total money three of them have = $93

Therefore,

x+x+7+2(x+7) = 93

2x + 7 + 2x + 14 = 93

4x+21= 93

4x= 93-21

4x= 72

x= 18

So,

Goran has $18 in his wallet

Rita have $ 18 +37= $25 in her wallet

Kareem has 2 × 25 = $50 in his wallet

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Answer:

a=2,-2 b=-5,-1 c=-1,-2

Step-by-step explanation:

you just put the shape the opisite way

Answer:

Distance = 9 ft

Explanation:

We can represent the position of the large fish with the number -13 because it is 13ft below the surface. In the same way, we can represent the position of the smaller fish with the number -4.

Then, the distance between the fish will be the absolute value of the difference between their positions. So, the expressions that are equivalent to the distance between the fish are:

| - 13 - ( - 4) | = | - 13 + 4| = 9

or

| -4 - (- 13) | = | - 4 + 13 | = 9

Therefore the distance between the fish is 9 ft

The given inequality is 21>x+2.

The inequality can be solved as,

Thus, the above expression gives the required solution for the inequality.

The circumference of a circle is found using the formula,

Where

C is the circumference

r is the radius

A circle has radius 12 cm, so its circumference is

When the radius (12 cm) is increased by a factor of 7, we mean the radius is 7 times the original, so, the new radius is

So, the circumference of this circle will be >>>>

To find how many times larger this circumference is of the previous one, we divide,

Using the circumference formula, we can find the circumference of this circle,

The original circle had a circumference of 24π

The question basically asks "how many times is the circumference of this circle compared to the circumference of the original circle?"

Of couse, it will be less than 1 since this circle is smaller than the original one.

So,

So, the scale factor is 1/4, or 0.25

Answer:

28 miles

Explanation:

The equation that describes the relationship between the fare and the number of miles is:

f = 2.25 + 0.20(m - 1)

Where f is the fare and m is the number of miles.

So, if the taxi fare was $7.65, we can replace f by 7.65. Then:

7.65 = 2.25 + 0.20(m - 1)

Therefore, we can calculate the number of miles by solving the equation for m. So, subtracting 2.25 from both sides:

7.65 - 2.25 = 2.25 + 0.20(m - 1) - 2.25

5.4 = 0.20(m - 1)

Dividing by 0.20, we get:

Finally, add 1 to both sides:

27 + 1 = m - 1 + 1

28 = m

So, he travels 28 miles in the taxi

The kinetic energy possessed by the skydiver is 14, 062. 5 Joules

Kinetic energy of an object is defined as the energy possessed by an object due to its motion.

It is also described as the work that is required to accelerate a body of mass from rest to its given velocity.

The formula for calculating kinetic energy is expressed as;

Kinetic energy = 1/2 mv²

Where;

Now, substitute the values

Kinetic energy = 1/2 (45)(25)²

Find the square

Kinetic energy = 1/2 (45)(625)

Find the product

Kinetic energy = 1/2(28125)

Find the quotient

Kinetic energy = 14, 062. 5 Joules

Hence, the value is  14, 062. 5 Joules

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The area of a rectangle is:

where w is the width and l is the length. Plugging the values we have and solving for w:

Therefore the width is 85 meters.

Answer

The values of a that ensures that the system has at least one solution is

a > (21/127)

Explanation

We are told to find the values of a that ensures that the system has at least one solution. The system of equations include

3 (a - 5x) < 1 + x

2 - (x/2) > 3 + 5 (x - a)

To do this, we need to solve the expressions

3 (a - 5x) < 1 + x

3a - 15x < 1 + x

We can rewrite this as

1 + x > 3a - 15x

x + 15x > 3a - 1

16x > 3a - 1

Divide both sides 16

We then solve the second one. But to do this, let's multiply through by 2

2 - (x/2) > 3 + 5 (x - a)

4 - x > 6 + 10 (x - a)

we can rewrite as

6 + 10 (x - a) < 4 - x

6 + 10x - 10a < 4 - x

10x + x < 10a - 6 + 4

11x < 10a - 2

Divide both sides by 11

The two solutions are

x > (3a/16) - (1/16)

x < (10a/11) - (2/11)

To find a lasting solution, we need the inequality sign to be the same, so, we need to multiply through one of the equations by -1

x > (3a/16) - (1/16)

-x < (-3a/16) + (1/16)

So, the system of equations become

-x < (-3a/16) + (1/16)

x < (10a/11) - (2/11)

We can then add the two equations

-x + x < (-3a/16) + (1/16) + (10a/11) - (2/11)

0 < (-3a/16) + (10a/11) + (1/16) - (2/11)

0 < -0.1875a + 0.9091a + 0.0625 - 0.1818

0 < 0.7216a - 0.1193

Rewrite

0.7216a - 0.1193 > 0

0.7216a > 0.1193

Divide both sides by 0.7216

(0.7216a/0.7216) > (0.1193/0.7216)

a > 0.1653

a > (21/127)

Hope this Helps!!!

Selena was comparing the flying seeds of different birds in science class.

Which of the three words why faster why?



Select the correct response



1. the blue jay Five Spices because it's rate is 20 m/s



2. the Cardinal flies fast is because it's right is 10 m/s



3. The robin Place passes because it's rate is 15 m/s



4.they all fly at a rate of 10 m/s​

____________________________

The slope, in this case, expresses the variation of the distance with respect to time (that is, the speed).

Comparing the slopes

Blue Jay's Flight

slope 10 m/s

__________________

Robin's Flight

slope = (y1-y2)/ (x1-x2)

Selecting the points (x, y)

Point 1 (2, 30)

Point 2 (6, 90)

slope = (90- 30) m / (6-2 )s

=(60)/ 4

= 15 m/s

_______________________________

Answer

3. The robin Place passes because it's rate is 15 m/s

_______________________________

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Answer:

8

Step-by-step explanation:

To find the perimeter, you must add the lengths of all sides.

In this question the perimeter is given, which is 63.

63 = 12 + 12 + 3x + 2x + 1 + x + 2

1. Add the numbers

63 = 12 + 12 + 3x + 2x + 1 + x + 2

12 + 12 + 1 + 2 = 27

63 = 27 + 3x + 2x + x

2. Combine Like Terms

63 = 27 + 3x + 2x + x

x = 1
3x + 2x + 1x = 6x

63 = 27 + 6x

3. Move Variable to the left

63 = 27 + 6x

63 = 6x + 27

4. Subtract 27 from both sides, the opposite of adding 27

63 = 6x + 27

63 - 27 = 6x + 27 - 27

36 = 6x

5. Divide by the same factor, the opposite of multiplying 6

36 = 6x

36/6 = 6x/6

6. Cancel out the 6s but leave the x

36/6 = 6x/6

x = 6

So, now that we know that x = 6 we can solve the expression, x + 2, to find out the length of the side BC.

6 + 2 = 8

Answer: -14/5, -2.25, 1 1/4, 3/2

Step-by-step explanation:

Answer:

-14/5, -2.25, 1 1/4, 3/2

Step-by-step explanation:

I double-checked, and I believe it's correct.

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The distance around a circle is known as the circumference, by definition.