Let f(x) = 2^x and g(x) = x-4. The graph of (fºg)(x)
is shown below.

What is the range of (fºg)(x)?
y>0
All real numbers except y=0
y<=0
All real numbers

Answer:

D: 18

Step-by-step explanation:

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):

[tex]i[/tex]         [tex]a_{i}[/tex]

1         6

2        11

3        16

4        21

5        26

b) The algebraic expression for the general term of the sequence is [tex]a(i) = 6 + 5\cdot (i - 1)[/tex].

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):

[tex]i[/tex]         [tex]a_{i}[/tex]

1         6

2        11

3        16

4        21

5        26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

[tex]a(i) = a_{1} + r\cdot (i - 1)[/tex] (1)

Where:

[tex]a_{1}[/tex] - First element of the sequence.

[tex]r[/tex] - Arithmetic difference.

[tex]i[/tex] - Index.

If we know that [tex]a_{1} = 6[/tex] and [tex]r = 5[/tex], then the algebraic expression for the general term of the sequence is:

[tex]a(i) = 6 + 5\cdot (i - 1)[/tex]

c) If we know that [tex]a(i) = 6 + 5\cdot (i - 1)[/tex] and [tex]i = 25[/tex], then the 25th term in the sequence is:

[tex]a(25) = 6 + 5\cdot (25 - 1)[/tex]

[tex]a(25) = 126[/tex]

The 25th term in the sequence is 126.

Step-by-step explanation:

[tex]2 + 2 \times \frac{0}{4} \times 99 + 1 \\ = 2 + 0 + 1 \\ = 3[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

1

Step-by-step explanation:

Step 1: 2 plus 2

=> 2 + 2

=> 4

Step 2: times 0

=> 4 * 0

=> 0

Step 3: divided by 4

=> 0/4

=> 0

Step 4: time 99

=> 0 * 99

=> 0

Step 5: plus 1

=> 0 + 1

=> 1

Therefore the final answer = 1

Hope this helps!

Answer:

Step-by-step explanation:

average velocity=distance/time= ending position−starting height ending time−starting time

Answer:

(8x4 + 7x3 - 9) – (5x2 - 8x + 6)

Answer:

Step-by-step explanation:

x^2-16y-4x-12=0

Transpose and separate x and y

16y = x^2-4x-12

16y = (x^2-4x+4) -16

16y = (x-2)^2 -16

y = (1/16)(x-2)^2 -1

This means that the vertex is at

(x-2)=0 or x=2

y = -1

=> vertex (2,-1)

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:

The side opposite the 30* angle = a

The side opposite the 60* angle = [tex]a\sqrt{3}[/tex]

The side opposite the 90* angle = 2a

(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")

They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:

Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.

Once we know what "a" is, we can fill in the rest:

30* = 5

60* = [tex]5\sqrt{3}[/tex]

90* = 10

Answer:

a pound is 16 oz. so 2 onions are a pound. meaning 5 onions equal 2 1/2 pounds.

2.5 × 0.79 = $1.975 (about $1.98)

Answer:

11.6

Step-by-step explanation:

Answer: How to calculate package size and weight, and definition of ... Width is the remaining side that is also perpendicular to the length and is ... For rectangular packages, Girth would be Height multiplied by two plus Width ... it will require additional postage when it is mailed or delivered. ... All Rights Reserved. Hope this helped gurly/guy :)

Step-by-step explanation:

Answer:

5/12.

as a decimal it is 0.4167 to the nearest ten thousandth.

Step-by-step explanation:

tan B = opposite side/adjacent side

= 10/24

= 5/12.

Answer:

I think the correct answer is 5/12

Here is how the table would look (Although I cannot see the table, I have done this question before).

           Cafeteria Outside Total

Boys     21%       28%     49%

Girls    32%      19%      51%

Total   53%     47%     100%

Answer:

discount is -7.15

final price is $5.68

Step-by-step explanation:

55% of 13 = 7.15

subtract 7.15 from 13

Answer:

The correct answer is 0 or A

Step-by-step explanation:

2/0+2 + 1/5 = 6/0+5

2/2 + 1/5 = 6/5

1 + 1/5 = 6/5

5/5 + 1/5 = 6/5

6/5 = 6/5

Answer:

Yes

Step-by-step explanation:

So permiter is two*lengths plus 2*width of a shape.

Area is the length times the width.

For examplel if a square has a length of 2, and a width of 3 the permiteter is:

2*2+3*3=

4+9

=

13

On the other hand, area  would be:

2*3

=

6

I hope this helps!

Answer:

22 inches

Step-by-step explanation:

so to find the diameter you divide the circumference by pi(3.14)

69.1÷3.14=22.006

now rounding that you get 22

Answer:

In first box, it’s 5

and then it’s 6/10

Step-by-step explanation:

Answer:

point of intersection are

(-2,0) and (0,1)

we have

equation of a line is :

(x-x1)=(y2-y1)(/(x2-x1)*(y-y1)

(x+2)=(1-0)/(0+2)*(y-0)

x+2=½y

y=2x+4 is a required equation in a slope intercept form.

Answer:

Do you want the derivative?!

Answer:

Step-by-step explanation:

multiplication:  (x-1)  *  (x+3)  *  (x-4)

(x-1) * (x+3)

x^2 + 2x - 3

(x^2 + 2x -3)(x-4)

x^3-2x^2-5x+ 12

finding the zeroes:

(x-1)         (x+3)    (x-4)

x-1:0      x+3:0     x-4:0

+1:1          -3:3     +4: 4

x: 1            x:3        x:4

Answer:

Its D

square root of 37 = 6.0

Step-by-step explanation:

Answer:

$449.5

Step-by-step explanation:

Given data

Earning rate=  $15.50 per hour

Number of hours worked = 29 hours

Hence the amount earned is

=15.5*29

= $449.5

Hence the total amount she earned is $449.5

Answer:

volume can be measured by counting cubes in three dimensional

Step-by-step explanation:

volume can be determined by counting cubes. and there has to be a 3D

figure to find value of the volume

Have a nice day.

x=16

y=-12

Hope this helped :T

Answer:

the radius would be 5 centimeters

Answer:

x = -7

Step-by-step explanation:

-3x -5 = 16

step 1 add 5 to each side

-5 + 5 cancels out

16 + 5 = 21

we now have -3x = 21

step 2 divide both sides by -3

-3x / -3 = x

21 / - 3 = -7

we're left with x = -7

Answer:

x = -7

Step-by-step explanation:

-3x -5 = 16

     +5   +5

-3x = 21

-3x/-3 = 21/-3

x = -7

Answer:

12% increase

Step-by-step explanation:

Have a good day :)

Answer:

x = - 10

Step-by-step explanation:

5(x + 8) = - 10

5x + 40 = - 10

5x + 40 - 40 = - 10 - 40

5x = - 50

5x ÷ 5 = - 50 ÷ 5

x = - 10

Answer:

the answer to the question is C