Identify the domain of the function

Answer:

245

Step-by-step explanation:

multiple the amount of rooms on each floor (35) by the amount of floors (7)

35x7=245 rooms

Answer:

5383 4983

i dont know

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  domain: all reals; range: y ≤ 6

Step-by-step explanation:

The domain of any polynomial function is always "all real numbers." There are no values of the variable for which a polynomial is undefined.

The range of a polynomial will depend on its degree and the sign of the leading coefficient. Here, the degree is even, so the range has a limit. The leading coefficient is negative, so that limit is a maximum.

Only one answer choice has these characteristics:

  domain: all real numbers; range: y ≤ 6

__

The graph confirms this choice of range.

Answer:

16+21/8-6 simplifies to 13

Hope this helps!!

Answer:

D. 13

Step-by-step explanation:

Step 1:

16 + 24 / 8 - 6

Step 2:

16 + (24 / 8) - 6

Step 3:

16 + 3 - 6

Step 4:

(16 + 3) - 6

Step 5:

19 - 6

Answer = 13

Hope it helps :)

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

Step-by-step explanation:

The equivalent expression of the given value is 4.1 m/s in two significant figures

Your question is incomplete, i believe the following is the intended question.

[tex]\frac{450 \ m}{ 110 \ s}[/tex] equals which of the following values to the correct number of significant figures ?

The express the given value in the correct significant figures we will simplify it as follows:

450 m has 2 significant figures ( 4 and 5)

110 s has 2 significant figures (1 and 1)

Thus, the resultant ratio of the two numbers will be expressed in two significant figures.

[tex]\frac{450 \ m}{110 \ s} = 4.0909 \ m/s\\\\in \ two \ significant \ figures = 4.1 \ m/s[/tex]

Therefore, the equivalent expression of the given value is 4.1 m/s

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Answer:

The temperature was 80 degrees and it dropped 10 degrees. What is the temperature now?

80 - 10 = 70 degrees

Step-by-step explanation:

Answer:

Ans; 10⁴ —> 10, 000

Ans; 10-⁴ / 10² —> 1/ 10⁶ = 0. 000 001

Ans; 10-⁴ × 10² —> 1/ 10² = 0.01

Ans; 10-⁴ —> 1/ 10⁴ = 0. 000 1

I hope I helped you^_^

Answer:

A=a

B=d

C=c

D=b

Step-by-step explanation:

(-3, 2)

Step-by-step explanation:

when the point is rotated through 90∘ about the origin in the counterclockwise direction then the point M(h,k) takes the image M′(−k,h)

so the point (2,3) will be (-3 ,2 )

The measure of side BC is 30 units.

Given:

Points A, B, and C are collinear and B lies between A and C.

[tex]AC=48[/tex]

[tex]AB=2x+2[/tex]

[tex]BC=3x+6[/tex]

To find:

The value of BC.

Solution:

Points A, B, and C are collinear and B lies between A and C. So,

[tex]AB+BC=AC[/tex]              [Segment addition postulate]

[tex](2x+2)+(3x+6)=48[/tex]

[tex]5x+8=48[/tex]

Subtract 8 from both sides.

[tex]5x=48-8[/tex]

[tex]5x=40[/tex]

Divide both sides by 5.

[tex]\dfrac{5x}{5}=\dfrac{40}{5}[/tex]

[tex]x=8[/tex]

Now,

[tex]BC=3(8)+6[/tex]

[tex]BC=24+6[/tex]

[tex]BC=30[/tex]

Therefore, the value of BC is 30.

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The possible coordinates for G are -11 and 5.

Given:

On a number line, suppose point E has a coordinate of [tex]-3[/tex], and [tex]EG=8[/tex].

To find:

The possible coordinates of point G.

Solution:

Either point G lies 8 units left of point E or 8 units right of point E.

[tex]G=-3-8[/tex]

[tex]G=-11[/tex]

And

[tex]G=-3+8[/tex]

[tex]G=5[/tex]

Therefore, the possible coordinates for G are -11 and 5.

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Answer:

[tex]x^2-6x+9[/tex]

Step-by-step explanation:

Say you have a function [tex]f(x)=x+1[/tex]. If you wanted to find f(3), you would replace the number in the parentheses, in this case 3, with x, to get [tex]f(3)=3+1=4.[/tex] When combining functions, you should do the same thing.

Here, we have [tex]f(x)=x^2.[/tex] We want to find f(g(x)). So, you should replace x in the function f(x) with the function g(x). [tex]g(x)=x-3.[/tex] So, f(g(x)) would equal [tex](x-3)^2[/tex], which equals [tex]x^2-6x+9[/tex].

Hope this helps!

9514 1404 393

Answer:

  t(n) = -n^2 -n +102

Step-by-step explanation:

We can use the first 3 terms to find a, b, c.

  a(1)^2 +b(1) +c = 100

  a(2)^2 +b(2) +c = 96

  a(3)^2 +b(3) +c = 90

Subtract the first equation from the other two:

  3a +b = -4 . . . . . . [eq4]

  8a +2b = -10 . . . . [eq5]

[eq5] can be reduced to

  4a +b = -5 . . . . . . [eq6]

Subtracting [eq4] from [eq6] gives ...

  (4a +b) -(3a +b) = (-5) -(-4)

  a = -1 . . . . . . . . simplify

Filling that into [eq4], we get

  3(-1) +b = -4

  b = -1 . . . . . . . add 3

Putting the values for 'a' and 'b' into the first equation gives ...

  -1 +-1 +c = 100

  c = 102

Then the n-th term t(n) of the sequence is ...

  t(n) = -n^2 -n +102

_____

Additional comment

As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...

This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...

Matrix operations includes the addition, multiplication and subtraction of matrices

The correct option for the matrix that can be used to represent B is option D)

[tex]D) = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]

The reason the above option is correct is as follows:

From the graph, we have that the coordinates of the preimage are;

(-6, 5), (-3, 9), and (6, 5)

The coordinates of the preimage in matrix form is given as follows;

[tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]

The coordinates of the image are;

(-6, -5), (-3, -9), and (6, -5)

The coordinates of the image in matrix form is given as follows;

[tex]\left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]

The above image matrix can be obtained from the primage matrix as follows:

[tex]\left[\begin{array}{rrr}1&0\\0&-1\end{array}\right]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right] = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]

Which is of the form AB = C

Where;

[tex]A = \left[\begin{array}{rrr}1&0\\0&-1\end{array}\right][/tex]

[tex]B = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]

[tex]C = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]

Therefore, the matrix that could represent B is [tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex] which is option D)

Learn more about matrix operations here:

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Answer:

10.5 yards after 15 years

Step-by-step explanation:

2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards

Answer:

1980

Step-by-step explanation:

Answer:

$10.24

Step-by-step explanation:

12(1.30)=12.36

22.60-12.36=10.24

Answer:

The least possible amount of saving they could each have is 36$

Step-by-step explanation:

12+12+12 = 36

9+9+9+9=36

Answer:

A. Sequence 2 is arithmetic and Sequence 1 is geometric

Step-by-step explanation:

Hello,

Answer A

-10,20,-40,80,.... is geometric= Sequence 1

15,-5,-25,-45.... is arithmetic= Sequence 2

Answer:

42 and 22 are the numbers

Step-by-step explanation:

Let the numbers be x and y

[tex]x + y = 64[/tex]

[tex]x - y = 20[/tex]

On adding both

[tex]x + y + x - y = 64 + 20[/tex]

[tex]2x = 84[/tex]

[tex]x = \dfrac{84}{2} [/tex]

[tex]x = 42[/tex]

Using 1

[tex]42 + y = 64[/tex]

[tex]y = 64 - 42[/tex]

[tex]y = 22[/tex]

Answer:

0.4583

Hope it helps you!!

Step-by-step explanation:

[tex]8x - 3 = 5 + 4y[/tex]

Isolate y first subtract 5 from both sides

[tex]8x - 8 = 4y[/tex]

Divide both sides by 4.

[tex] \frac{8x - 8}{4} = y[/tex]

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

y= 1

Step-by-step explanation:

Solve for y:

8x - 3 = 5 + 4y

8x = 4y + 5+3

Divide both sides by 8

x = 1÷2y + 1

plug into equation

8 (1÷2y +1) - 3 = 5 + 4y

Distribute

8÷2+ 8 - 3 = 5 + 4y

4 + 5 -5 = 4y

Combine like item

4 = 4y

divide both sides by 4

y= 1

Answer:

20x30xH=7000

11.6666 , depends on how much you need to round it. if 2 sig figs, round it to 12.

Answer:

Pyramid Height = 3 * Pyramid Volume / Base Area

Height = 3 * 7,000 / (30 * 20)

Height = 21,000 / 600

Height = 35 meters

Step-by-step explanation:

Answer:

600,000+80,000+700+5

Answer

Hello

how are you

Answer:

you would write it as -3.25 as a whole number