Which table represents an exponential function of the form y= b^x when 0 < b < 1?

Given:

The function is:

[tex]f(x)=-2x+5[/tex]

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

[tex]f(x)=-2x+5[/tex]

Step 1: Substitute [tex]f(x)=y[/tex] .

[tex]y=-2x+5[/tex]

Step 2: Interchange x and y.

[tex]x=-2y+5[/tex]

Step 3: Isolate variable y.

[tex]2y=5-x[/tex]

[tex]y=\dfrac{5-x}{2}[/tex]

Step 4: Substitute [tex]y=g(x)[/tex].

[tex]g(x)=\dfrac{5-x}{2}[/tex]

Hence, the inverse of the given function is [tex]g(x)=\dfrac{5-x}{2}[/tex] and the graphs of these functions are shown below.

Answer:

Diameter: 12

Circumference: 37.68

Area: 113.04

Step-by-step explanation:

The radius of the circle is 6 cm.

To find the diameter of a circle, multiply the radius by 2.

6 × 2 = 12.

12 is the diameter.

----------------------------------------------------------------------------------------------------------------

Formula for the circumference of a circle: πd (diameter).

In other words, to find the circumference of a circle, multiply the diameter by pi.

**3.14 IS A SUBSTITUTE FOR PI**

12 × 3.14 = 37.68

Therefore, 37.68 cm is the area of the circle.

----------------------------------------------------------------------------------------------------------------

Formula for area of a circle: πr² (r = radius).

3.14 × 6 × 6 = 113.04

Therefore, 113.04 cm² is the area of the circle.

Answer:

the answer is 12.8

Step-by-step explanation:

Answer:

14 [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

3*4 [tex]\frac{4}{5}[/tex]

4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]

[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]

[tex]\frac{72}{5}[/tex] to a mixed number

[tex]\frac{72}{5}[/tex]= 14.4 =14

72-(5*14)=2

14 [tex]\frac{2}{5}[/tex]

Answer:

is this a joke question? it is very easy. one half or 1/2

Step-by-step explanation:

Answer: You are correct! Whatever adds up to 100% is the answer! :)

Answer:

(a) x=45°

(b) If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.

Step-by-step explanation:

(a)

Angles in a quadrilateral add to 360:

<A+<B+<C+<D=360

2x+90+x+3x=360

6x=270

x=45°

(b)

If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.

Answer:  Step-by-step explanation:

3x+2x+x=360-90

6x=270

x=45

∠DAB=2x=90° and ∠ABC=90° ⇒ AD║BC

Answer:

E. 425

Step-by-step explanation:

Assuming that since there are 17 deer in one square, there must be 17 in each square, and knowing there are 25 squares, the answer is equal to 17*25 = 425

Answer:

-14

Step-by-step explanation:

(-12)+(-2)

You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)

The answer is the two values added together.

Answer:

23^(a+b)

Step-by-step explanation:

23^a x 23^b =23^(a+b)

9514 1404 393

Answer:

  920 square feet

Step-by-step explanation:

The surface area is the sum of the areas of the different surfaces of the solid. This solid has 5 surfaces: 2 triangular bases and 3 rectangular faces.

The area of a triangle is given by the formula ...

  A = 1/2·bh . . . . . where b is the base of the triangle, and h is its height

The dimensions shown on the "front" of the figure tell you the triangle has a base of 15 ft and a height of 8 ft. Its area is ...

  A = (1/2)(15 ft)(8 ft) = 60 ft²

__

The rectangular faces all have a width of 20 ft. So, the sum of their rectangular areas will be that width multiplied by the sum of their lengths. We call this the "lateral area" of the prism.

  lateral area = (base perimeter) × (prism width)

  = (8 ft + 15 ft + 17 ft) × (20 ft) = 800 ft²

The sum of the areas of the two base triangles and the lateral area is the total surface area of the figure:

  total area = 2×60 ft² + 800 ft²

  total area = 920 ft²

Answer:

47.1 ft

Step-by-step explanation:

dx[tex]\pi[/tex]=C

15x3.14=

47.1

Answer:

18

Step-by-step explanation:

Answer:

The answer is 3 feet.

Step-by-step explanation:

First, the height is 7 right. Then take away 1 foot since is said 1 foot more than twice the width. Then divide by 2 meaning twice. Meaning 7-1=6 6/2=3. There you go! Hope these formulas helped!

Answer:

3 feet

Step-by-step explanation:

To relate the height and width of the door, we can write an equation, which is derived from what is given in the problem. If we define w as the width and h as the height, the words, "1 foot more than twice the width" can translate to:

2w + 1, and this is equal to the height, so

2w + 1 = h

Now, we are given the height is 7. We substitute 7 where the height, h, is.

2w + 1 = 7

We can subtract 1 from both sides and divide by 2 to isolate x:

2w + 1 = 7

      -1     -1

2w = 6

w = 3 - the width is 3 feet

Answer:

it's a

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

Find the number in the tenth place  

2

and look one place to the right for the rounding digit  

4

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

.

Answer: 1.5 : 6 = 1 : 4

Step-by-step explanation: Change values to whole numbers.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.

We then have:

1.5 : 6 = 15 : 60

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 15 and 60 is 15

Divide both terms by the GCF, 15:

15 ÷ 15 = 1

60 ÷ 15 = 4

The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :

15 : 60 = 1 : 4

Therefore:

1.5 : 6 = 1 : 4

Answer:

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex] --- Trinomial

[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex] --- Binomial

Step-by-step explanation:

Given

[tex]n^2 + \frac{2n}{3}[/tex]

Solving (a): Perfect square trinomial

We have:

[tex]n^2 + \frac{2n}{3}[/tex]

Express as an equation

[tex]n^2 + \frac{2n}{3} =[/tex]

Start----------------------------

Take coefficient of n i.e. (2/3)

Half it: i.e. (1/3)

Square it: (1/63^2

Add to both sides of the equation

---------------------------End

So, we have:

[tex]n^2 + \frac{2n}{3} + (\frac{1}{3})^2 = (\frac{1}{3})^2[/tex]

Remove brackets

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Solving (b): Binomial Squared

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Expand

[tex]n^2 + \frac{n}{3}+ \frac{n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Factorize:

[tex]n(n + \frac{1}{3})+ \frac{1}{3}(n + \frac{1}{3}) = \frac{1}{9}[/tex]

Factor out n + 1/3

[tex](n + \frac{1}{3})(n + \frac{1}{3}) = \frac{1}{9}[/tex]

Express as square

[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex]

Answer:

The given condition in question will form a right angle triangle

and the length of sides of triangle are given 55ft, 48ft and missing one.

Now using pythagoras theorem,55²+48²= x²

x² = 3025 + 2304

x² = 5329

Taking square root of 5329 will give 73 ft!

Answer:

The sum of the series is: 749

Step-by-step explanation:

Given

[tex]a_1 = 8[/tex]

[tex]a_{14} = 99[/tex]

[tex]n = 14[/tex]

Required

The sum of the series

This is calculated using:

[tex]S_n = \frac{n}{2}[a_1 + a_n][/tex]

Substitute 14 for n

[tex]S_{14} = \frac{14}{2}[a_1 + a_{14}][/tex]

[tex]S_{14} = 7[a_1 + a_{14}][/tex]

Substitute values for a1 and a14

[tex]S_{14} = 7[8 + 99][/tex]

[tex]S_{14} = 7*107[/tex]

[tex]S_{14} = 749[/tex]

Answer:

c

Step-by-step explanation:

Given:

The function is:

[tex]g(a)=\dfrac{8-a}{4}[/tex]

To find:

The difference quotient of the function.

Solution:

Formula for difference quotient of the function f(x) is:

[tex]DQ=\dfrac{f(x+h)-f(x)}{h}[/tex]

We have,

[tex]g(a)=\dfrac{8-a}{4}[/tex]

The difference quotient of the function g(a) is:

[tex]DQ=\dfrac{g(a+h)-g(a)}{h}[/tex]

[tex]DQ=\dfrac{\dfrac{8-(a+h)}{4}-\dfrac{8-a}{4}}{h}[/tex]

[tex]DQ=\dfrac{\dfrac{8-a-h-8+a}{4}}{h}[/tex]

[tex]DQ=\dfrac{-h}{4h}[/tex]

[tex]DQ=-\dfrac{1}{4}[/tex]

Therefore, the difference quotient of the given function is [tex]-\dfrac{1}{4}[/tex].

Answer:

They are right, It is -1/4. The second one.

Step-by-step explanation:

Edge 2021

1) The integer representing Paula's starting height above the water is 2.

2) The integer that represents the total distance Paula descends is 7.

3) An addition expression to represent Paula's distance below the water's surface is 2 + 3.

4) At the end of her dive, Paula is 5 feet below the surface of the water.

5) If Yolanda pays her friend back this week, she will owe her only $7.

An integer is a whole number.  It can be positive, negative, or zero but without fractions.

Addition expressions combine two or more addends with the addition operand and equation mark (=) to determine the sum (or the result of the addition operation).

Height of diving board = 2 feet

Depth of descent below the diving board = 7 feet

Distance below the water's surface = 5 feet (7 - 2)

5 feet = 2 + 3

Debt to a friend = $15

Earnings per week = $8

Total amount after paying friend = 8 - 15

= -$7

Learn more about addition operations at https://brainly.com/question/4721701

#SPJ1

Answer:

ansber 5 good by. ............

[tex]2 \frac{1}{7} [/tex]

is the answer

Answer:

answer: 2 1/7

Hope this helps

Answer:

(1,2); (4,4); (1,4)

Step-by-step explanation:

Just reflect it directly across the y axis starting at x=1.

Answer:

https://brainly.com/question/16576809

Step-by-step explanation:

Answer:

144 m2

Step-by-step explanation:

Answer:

82?

Step-by-step explanation:

Sorry if wrong :> Please mark brainliest! Have a awesome day ^_^ You're a  great person!!!!