Find the average rate of change for the given function x=-1 to x=2

A. 4/3
B. -4/3
C. -3/4
D. 3/4

12÷4

=3

because theres 12 gallons n theres four qts in each so you divide

The answer is the 12 multiplied by 4

Answer:

The coordinates of A'' are (-2 , -5) ⇒ answer A

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

∴ Its image is (-y , -x)

* Now lets solve the problem

- The vertices of triangle ABC are:

 A is (2 , -5) , B is (1 , -3) , C is (5 , -3)

∵ The triangle is reflected across the y-axis

∴ The x- coordinates of the three point are changed to opposite sign

∵ A is (2 , -5)

∴ its image A" is (-2 , -5)

* The coordinates of A'' are (-2 , -5)

Answer:

(-2, -5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The volume of a box with dimensions length x, width (x+1), and height (x+2), is given by the formula x^3 + 3x^2 + 2x cubic units.

The volume of the box can be calculated by multiplying its length, width, and height together. Given that the length is x, width is (x+1), and height is (x+2), the volume would be x*(x+1)*(x+2).

To further expand this, apply the distributive law which first multiplies x*(x+1), resulting in x^2 + x. Then multiply this result by (x+2), giving the final volume V = x^3 + 3x^2 + 2x.

Therefore, the volume of the box given the stated dimensions is x^3 + 3x^2 + 2x cubic units.

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Answer:

Option 3 (angle WXY + angle YXZ = 180) is the answer.

Answer:

3240°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 20, hence

sum = 180° × 18 = 3240°

1 quart = 2 pints.

This means a 4 pint container is 2 quarts.

To find the price for 1 quart divide the price by 2:

12.04 / 2 = $6.02 per quart.

Answer:

Final answer is [tex]\frac{3x^2+6x}{x^2-16}[/tex].

Step-by-step explanation:

Given rational expressions are [tex]\frac{x+2}{x-4}[/tex] and [tex]\frac{3x}{x+4}[/tex].

Now we need to find about what is the product of given rational expressions.

to multiply the rational expressions, we simply multiply numerator with numerator. Then multiply denominator with denominator.

[tex]\frac{x+2}{x-4}\cdot\frac{3x}{x+4}[/tex]

[tex]=\frac{\left(x+2\right)\cdot3x}{\left(x-4\right)\cdot\left(x+4\right)}[/tex]

[tex]=\frac{3x^2+6x}{x^2+4x-4x-16}[/tex]

[tex]=\frac{3x^2+6x}{x^2-16}[/tex]

Hence final answer is [tex]\frac{3x^2+6x}{x^2-16}[/tex].

1 = a

2 = h

have a good day

Answer: The graph is shifted 2 units to the right.

Step-by-step explanation:

Given a function f(x), we know that one transformation rule is:

If [tex]f(x-k)[/tex] then the function is shifted "k" units to the right.

 Therefore, for the function [tex]f(x)=x^{2}[/tex], when we subtract 2 from the input, then we get the function g(x) in the form:

 [tex]g(x)=(x-2)^{2}[/tex]

We can conclude that subtracting 2 from the input of the function [tex]f(x)=x^{2}[/tex], then the graph is shifted 2 units to the right.

The answer is right graph shifted 2 units to the right

The last one. It goes and touches the most points.

The 4th line is the line of best fit for this given scatter plot.

"A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed."

Here, 4 different lines are drawn for a given scatter plot.

We know, a line drawn on a scatter plot fits it the best is the line that is closer to most of the points.

Here, the 4th line is closer to most of the points on the scatter plot.

Therefore, 4th line is the best fit.

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4.5 + 1.5k = 18 - 3k

Bring -3k to the other side by adding 3k to both sides

4.5 + (1.5k + 3k) = 18 + (-3k + 3k)

4.5 + 4.5k = 18 + 0

4.5 + 4.5k = 18

Bring 4.5 to the other side by subtracting it to both sides

(4.5 - 4.5) + 4.5k = 18 - 4.5

0 + 4.5k = 13.5

4.5k = 13.5

Isolate k by dividing 4.5 to both sides

4.5k / 4.5 = 13.5 / 4.5

k = 3

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Part A : |x-2.5| ≤ 0.75  , x ∈ [1.75,3.5]

Part B : yes, the lifeguard should add more chlorine.

Step-by-step explanation:

Part A:

Let  C is the variation of the level of chlorine in a hot tub.

Level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

To find absolute value inequality, need to find the standard level of chlorine 1.75 + C or 3.25 - C

1.75 + C = 3.25 - C

2C = 5

C = 2.5

So, the standard level would be 2.5 ppm,

If x represents the present level of chlorine,

Then it would be lie within 1.75 ppm of 3.25 ppm.

1.75 ≤ x ≤ 3.25

Subtract 2.5 from all sides

1.75 - 2.5 ≤ x -2.5 ≤ 3.25 - 2.5

-0.75 ≤ (x-2.5) ≤ 0.75

which is equivalent to the following absolute value inequality.

|x-2.5| ≤ 0.75

And the solve of the inequality : x ∈ [1.75,3.5]

Part B:  If x = 1.0 ppm,

∴ |1.0-2.5| = 1.5 which is not less than equal to 0.75.

Another explanation:

the minimum safe level of chlorine in a hot tub is 1.75 ppm

Since 1 < 1.75

Therefore, lifeguard should add more chlorine.

Answer: Option A

P(B and V)=10%

Step-by-step explanation:

To solve this poroblema we use the formula of combinations:

[tex]nCr =\frac{n!}{r!(n-r)!}[/tex]

Where n is the number of objects that can be chosen and you choose r from them.

There are 5 colors of shirts.

The number of shirts that can be made by combining 2 of the 5 possible colors is calculated as:

[tex]5C2[/tex]

[tex]5C2=\frac{5!}{2!(5-2)!}[/tex]

[tex]5C2=10[/tex]

The number of shirts that can be made by combining 2 of the 2 possible colors (B) and (V) is calculated as:

[tex]2C2 = 1[/tex]

Then the probability is:

[tex]P(B\ and\ V)=\frac{2C2}{5C2}\\\\P(B\ and\ V)=\frac{1}{10}\\\\P(B\ and\ V)=0.1=10\%[/tex]

Answer: the answer is D

Step-by-step explanation:

Cause you have to do 100% divided by 5 you will get 20%

So if you have two of the five colors you will have two multiple 20% times 2 and get 40%

Convert the percentage into a decimal

[tex]50 * .20 = 10[/tex]

[tex]50 - 10 = 40[/tex]

20% of 50 is 40

5:55am

Start by finding how long the stand was open. Add 5 hours + 1 hour + 6 hours 15 minutes to get 12 hours 15 minutes.

Now, just find the time that is 12 hours and 15 minutes before 6:10pm. Start by subtracting 12 hours, which just switches the time from a.m. to p.m. This brings you to 6:10am. Finally, subtract the 15 minutes to get 5:55am.

Answer:

[tex]x=5(+/-)\sqrt{17}[/tex]

Step-by-step explanation:

we have

[tex]x^{2}-10x+8=0[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]x^{2}-10x=-8[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]x^{2}-10x+5^{2}=-8+5^{2}[/tex]

[tex]x^{2}-10x+25=-8+25[/tex]

[tex]x^{2}-10x+25=17[/tex]

Rewrite as perfect squares

[tex](x-5)^{2}=17[/tex]

Take square root both sides

[tex](x-5)=(+/-)\sqrt{17}[/tex]

Adds 5 both sides

[tex]x=5(+/-)\sqrt{17}[/tex]

ANSWER:

The 100 one is 10 and the 1,728 one is 12!

I think this is right and I hope I helped!

Tell me if it was right!

1210÷4=302.5 and u can have a half of a dog so there would be 302

Answer:

Surface area of original cube:

6(12²) = 6(144) = 864 cm²

Surface area of new cube:

6(24²) = 6(576) = 3,456 cm²

If the edge length of the cube is doubled, the surface area of the cube will be quadrupled.

Doubling the edge length of a cube from 12 cm to 24 cm increases the surface area by a factor of four, from 864 cm^2 to 3456 cm^2, because surface area is a two-dimensional measure and each dimension has been doubled.

If a cube has an edge length of 12 cm, its surface area is calculated by the formula 6s^2, where s is the length of a side. So the surface area of the original cube is 6  imes 122 cm^2 = 864 cm^2.

When the edge length of the cube is doubled to 24 cm, to find the new surface area, we also apply the formula 6s^2. Therefore, the new surface area is 6  imes 242 cm^2 = 3456 cm^2.

Comparing the new surface area to the original, we see that it has increased by a factor of 4, which is the square of the factor by which the edge length was multiplied (22 = 4). This occurs because surface area is a two-dimensional measure (involving length by width), so when each dimension is doubled, the overall area increases by a factor of four (2  imes 2).

Answer:

[tex]\large\boxed{a.\ -3x^5y^6}[/tex]

Step-by-step explanation:

[tex]-3x^2y^2\cdot y^4x^3=(-3)(x^2x^3)(y^2y^4)\\\\\text{use}\ a^na^m=a^{n+m}\\\\=-3x^{2+3}y^{2+4}=-3x^5y^6[/tex]

Answer:

x = 18

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{x+x+3}{x+3}[/tex] = [tex]\frac{14+12}{14}[/tex]

[tex]\frac{2x+3}{x+3}[/tex] = [tex]\frac{26}{14}[/tex] ( cross- multiply )

14(2x+3) = 26(x + 3) ← distribute both sides

28x + 42 = 26x + 78 ( subtract 26x from both sides )

2x + 42 = 78 ( subtract 42 from both sides )

2x = 36 ( divide both sides by 2 )

x = 18

Answer:

2 2/3 inches cubed

Step-by-step explanation:

volume is length x width x height. 3 x 2 2/3 x 1/3 = 2 2/3.

Answer:

2 2/3 in cubed

Step-by-step explanation:

Answer:

[tex]A=2\ m^{2}[/tex]

Step-by-step explanation:

we know that

The resulting two-dimensional cross-section is a rectangle 1 m x 2 m

so

the area of this rectangle is equal to

[tex]A=2*1=2\ m^{2}[/tex]

The answer would be 20

You multiply 62.5% by 32

32*0.625=20

They are correct it is 20.

Answer:

x = -1

Step-by-step explanation:

We are given the following two points from which the line passes and has a slope of [tex]\frac{2}{3}[/tex].

We are to find the value of x.

Slope = [tex] \frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 } [/tex]

[tex]\frac{2}{3}[/tex] = [tex]\frac{10-8}{x-(-4)}[/tex]

[tex]\frac{2}{3}[/tex] = [tex]\frac{2}{x+4}[/tex]

By cross multiplication:

[tex]2(x+4)=3 \times 2[/tex]

[tex]2x+8=6[/tex]

[tex]2x=-2[/tex]

x = -1

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut point with ele axis and

[tex]m = \frac {y2-y1} {x2-x1}[/tex]

How we have:

[tex]\frac {2} {3} = \frac {8-10} {- 4-x}\\\frac {8-10} {- 4-x} = \frac {2} {3}\\\frac {-2} {- 4-x} = \frac {2} {3}[/tex]

We clear the value of "x"

[tex]2 (-4-x) = - 6\\-8-2x = -6\\-2x = -6 + 8\\-2x = 2\\x = \frac {2} {- 2}\\x = -1[/tex]

Answer:

[tex]x = -1[/tex]

Answer:

Step-by-step explanation:

Interesting question. Perhaps an inverse relationship.

y = k/x where k is a constant like 10.

The problem begins to become a problem when  x approaches 0 and that happens quite frequently.

I would say as a class of numbers, 0 is the most problematic. 0 was developed about 1100 years after the death of Christ so the concept is pretty subtle. The Romans had no value for 0 as a place holder. 2019 for them was not written with anything that resembled a zero. (MMXIX is how they would write it). That's got to be very awkward when giving parts of an inch in their engineering drawings.

The second group that probably causes some trouble would be the irrationals. pi for one. sqrt(3) for another.  That took a while to develop as well.

Final answer:

The type of number that often gets mathematicians in trouble when using functions to model real-world situations is irrational numbers.

Explanation:

The type of number that often gets mathematicians in trouble when trying to use functions to model real-world situations is irrational numbers. Irrational numbers are numbers that cannot be expressed as a fraction or a ratio of two integers. They consist of an infinite decimal expansion without a repeating pattern. Examples of irrational numbers include π (pi) and √2 (the square root of 2).

Mathematicians may encounter irrational numbers when dealing with measurements, calculations, or any situation that requires precise numerical representations. Irrational numbers can cause difficulties because they cannot be represented exactly and must be approximated for practical use.

For example, if a mathematician is trying to model the distance a car travels in a given time, they may encounter irrational values when dealing with measurements involving π or √2. These values may need to be rounded or approximated to fit the model, introducing potential errors in the calculations.

Answer:

PD = 30

Step-by-step explanation:

2 secants intersect inside a circle the product of their parts are equal, that is

20(2x + 3) = 18(2x + 6) ← distribute both sides

40x + 60 = 36x + 108 ( subtract 36x from both sides )

4x + 60 = 108 ( subtract 60 from both sides )

4x = 48 ( divide both sides by 4 )

x = 12

Hence

PD = 2x + 6 = (2 × 12 ) + 6 = 24 + 6 = 30

tan 24 = x/12

0.4452 · 12 = X

5.34 = X

If your asking whats 86.4 divided by 36 its 2.4

93.75h. Mr. Demir must work 93.75h at his part-time job to make sure that he and his wife have met their monthly budget.

This problem can be solved by simply  arithmetic, The montly budget is $5,500, Mrs. Demir takes home $4,000 each month.  Then what remains to achieve the budget is:

$5,500 - $4,000 = $1,500

Mr. Demir works part time and earns $16 per hour, In order to achieve the monthly budget, Mr. Demir need to take home $1,500. Then, to take home $1,500 Mr. Demir has to work:

1500/16 = 93.75

Mr. Demir has to work 93.75 hours per month in order to achieve the monthly budget