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The areas of two rectangles can be represented by the functions shown.
Which function represents the difference in the areas, h(x) = f(x) – g(x)?
h(x) = 4x2 – 4x – 11
h(x) = 4x2 – 4x + 11
h(x) = –4x2 + 4x + 11
h(x) = 4x2 – 4x – 9

Answer:

1. 45

2.40

Step-by-step explanation:

Answer:

Fail :b

Step-by-step explanation:

Answer:

first quadrant =+,+

second quadrant = -,+

third quadrant = -,-

fourth quadrant = +,-

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

              = -9/4

              = -2.25

As

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Answer:

The composition of f(g(x)) is:

[tex]f(g(x)) = -x^2-10x-26[/tex]

Step-by-step explanation:

Given two functions are:

[tex]f(x) = -x^2-1\\g(x) = x+5[/tex]

we have to find the composition of f and g which can also be written as: fog(x) or f(g(x))

The method to find the composition is that we will put the function g in place of x in function f

[tex]f(g(x)) = -(x+5)^2-1\\=-(x^2+25+10x)-1\\=-x^2-25-10x-1\\=-x^2-10x-26[/tex]

Hence,

The composition of f(g(x)) is:

[tex]f(g(x)) = -x^2-10x-26[/tex]

D.10

Step-by-step explanation:

because there are two question mark

Answer:

1.78752 m2

Step-by-step explanation:

Hope this Helped!

Answer:

b) office supplies

Step-by-step explanation:

Answer:

11 days

Step-by-step explanation:

8.25 divided by .75 is 11

Answer: The answer is 3

Step-by-step explanation: if x is 7 and the answer is 10 subtract 7 from 10 and you get 3

Answer:

2470

Step-by-step explanation:

Roxie must pick 3 movies from 20 horror films and 8 foreign films with at least two horror films.

i) She can pick 2 horror films and 1 foreign film

The number ways this is possible = C(20, 2) * C(8, 1)

[tex]C(20,2)=\frac{20!}{(20-2)!2!}=190\\\\C(7,1)=\frac{7!}{(7-1)!1!}=7[/tex]

The number ways this is possible = C(20, 2) * C(8, 1) = 190 * 7 = 1330

ii) She can pick 3 horror films

The number ways this is possible = C(20, 3)

[tex]C(20,3)=\frac{20!}{(20-3)!3!}=1140\\\\[/tex]

The number ways this is possible = C(20, 3) = 1140

The number of ways of picking 3 movies from 20 horror films and 8 foreign films with at least two horror films = pick 2 horror films and 1 foreign film + pick 3 horror films

The number of ways of picking 3 movies from 20 horror films and 8 foreign films with at least two horror films = 1330 + 1140 =2470

The mystery number is 632.

To determine the mystery number, let's analyze the given clues:

The 6 has a digit on its left and on its right: This means that the 6 is not at the beginning or the end of the three-digit number. It must be the middle digit.

The 2 is not the last digit: Since the 2 is not the last digit, it can only be the first or second digit.

Considering both clues, we can conclude that the mystery number follows the pattern: 6.

To find the exact digits, we can analyze the remaining digit, which is 3. It can only be placed in the first or third position.

If the 3 is placed in the first position, the number becomes 362. However, this contradicts the clue that the 2 is not the last digit.

Therefore, the mystery number is 632. The 6 is the middle digit, and the 3 and 2 are in the first and last positions, respectively.

In conclusion, the mystery number is 632.To determine the mystery number, let's analyze the given clues:

The 6 has a digit on its left and on its right: This means that the 6 is not at the beginning or the end of the three-digit number. It must be the middle digit.

The 2 is not the last digit: Since the 2 is not the last digit, it can only be the first or second digit.

Considering both clues, we can conclude that the mystery number follows the pattern: 6.

To find the exact digits, we can analyze the remaining digit, which is 3. It can only be placed in the first or third position.

If the 3 is placed in the first position, the number becomes 362. However, this contradicts the clue that the 2 is not the last digit.

Therefore, the mystery number is 632. The 6 is the middle digit, and the 3 and 2 are in the first and last positions, respectively.

For more such questions on mystery number

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Answer:

1000 represents the sample

Step-by-step explanation:

Given

Survey:

[tex]Adults = 1000[/tex]

[tex]Proportion = 34\%[/tex]

Required

What does 1000 represent?

First, we should know that 1000 adults were picked or selected from a larger number of adults.

This implies that:

The larger number of adults is the population and the 1000 selected adults represents the sample.

Answer:3^2/2^3

Step-by-step explanation:

2^2*3^4/2^5*3^2

3^2/2^3

Step-by-step explanation:

[tex] = 4 \frac{2}{3} \div ( - 1 \frac{1}{4} )[/tex]

[tex] = \frac{14}{3} \div ( - \frac{5}{4} )[/tex]

[tex] = \frac{14}{3} \times ( - \frac{4}{5} )[/tex]

[tex] = - \frac{56}{15} [/tex]

[tex] = - 3 \frac{11}{15} [/tex]

No option Solution.

Answer:

1 1/6

Step-by-step explanation:

6/9 times 2/2=12/18

1/2 times 9/9=9/18

12/18+9/18=21/18

21/18=1 3/18

1 3/18=1 1/6

answer: 1 1/6

Step-by-step explanation:

1/2+6/9

common denominator is 18 (2×9)

now lets divide what's bellow(denominators) by 18 , then multiply to numbers above the line(nominators) by that number and finally find sum of them

1) 18/2=9, 9×1=9

2)18/9=2, 2×6=12

answer will be sum of them with common denominator:

(12+9)/18=21/18

we can simplify both, up and down (denominator and nominator) of that rational number. I'll divide both by 3

(21:3)/(18:3)=7/6= 1 1/6

Answer:

49π

Step-by-step explanation:

A = π [tex]r^{2}[/tex]

A = π [tex]7^{2}[/tex]

A = 49π

For the one you put in the comment...

The radius of a circle is 19cm find its area in terms of π

A = π [tex]r^{2}[/tex]

A = π 1[tex]9^{2}[/tex]

A = 361π

For the other one you put in the comment

The radius of a circle is 4 cm find its area in terms of π

A = π [tex]r^{2}[/tex]

A = π [tex]4^{2}[/tex]

A = 16π

For the other one you put in the comment

The radius of a circle is 20 cm find its area in terms of π

A = π [tex]r^{2}[/tex]

A = π [tex]20^{2}[/tex]

A = 400π

Hope this helped!

Have a supercalifragilisticexpialidocious day!

The area of a circle with radius 7 m is 49π m².

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the centre. A circle is also the set of all points that are equidistant from the centre.

Given that, we need to find the area of a circle, with radius 7 m

Area of circle = π × radius²

Area = π × 7²

Area = 49π

Hence, the area of a circle with radius 7 m is 49π m².

Learn more about circles, click;

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203,140

Step-by-step explanation:

f(g(16))=f(16+9)=f(25)=8×25+3=203

g(f(16))=g(8×16+3)=g(131)=131+9=140

Answer:

isolated

Step-by-step explanation:

It means private, or isolated

Answer:

258.41 m

Step-by-step explanation:

Since there are three semi-circles in the length of the rectangle, we can divide 18 by 3 to get 6 as the diameter for each circle. The area of a semi-circle is (pi*r^2)/2, we can multiply that by 3 and add it with the area of the rectangle to get the total area.

(12*18) + (3(pi*3^2))/2 =

216 + 42.4115 =

258.41 m

Answer:

Statement 2. SX=UX 3. UV=ST   Reasons are below

Step-by-step explanation:

since SVX = UTX and one of their sides are confirmed to be the same length then all sides are equal to each other of those triangles

and since they are the same length then VU and ST = each other

opposite sides are parallel because the angles are the same

and since they have the same side lengths then that means the diagonals bisect each other

Answer:

Step-by-step explanation:

The element copper has 29 protons. What is the atomic number of copper?

Answer:

plz type the full question

Step-by-step explanation:

Answer:

okay i seen the pic now you see number 5 they saying is it yes or o this is wht i do so i go put it on paper solve it then see wht it say is it a no our a yes i slove on paper

Step-by-step explanation:

Answer:

F= 2

F=-2

F=x-25

Step-by-step explanation: