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Zielflug [23.3K]
3 years ago
8

On a piece of paper , graph f(x)=2^x then determine which answer choice matches the graph you drew.

Mathematics
2 answers:
KIM [24]3 years ago
6 0

Answer:b

Step-by-step explanation:

amid [387]3 years ago
4 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=2^x

This is a exponential function of the form

y=a(b^x)

where

a is the initial value or the y-intercept

b is the base of the exponential function

If b>1 then is a exponential growth function

If b<1 then is a exponential decay function

In this problem

The y-intercept is equal to

For x=0

f(x)=2^0=1

The y-intercept is the point (0,1)

so

a=1

b=2

The value of b is greater than 1

so

Is a growth function

To plot the graph create a table with different values of x and y

For x=-1

f(x)=2^-1=0.5

point (-1,0.5)

For x=1

f(x)=2^1=2

point (1,2)

For x=2

f(x)=2^2=4

point (2,4)

For x=3

f(x)=2^3=8

point (3,8)

For x=4

f(x)=2^4=16

point (4,16)

Plot the y-intercept and the other points and connect them to graph the exponential function

Note that as x increases the value of y increases (exponential growth function)

The graph in the attached figure

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What is the measurement of x in the equation. 8x+5x+2x-11+6=180
34kurt

Answer:

x = 37/3 = 12.333

Step-by-step explanation:

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  15x - 185  =   5 • (3x - 37)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    3x-37 = 0

Add  37  to both sides of the equation :

                     3x = 37

Divide both sides of the equation by 3:

                    x = 37/3 = 12.333

4 0
3 years ago
Find the value of x.<br> a.17<br> b.12<br> c.40<br> d.18<br> e.none are correct
Natali5045456 [20]

Answer:

b.12

Step-by-step explanation:

<u>Key skills needed: Interior Angle Measure Theorem, Equation Creation</u>

1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    S = (n - 2)180

S is the sum of all interior angle measures

n is the number of sides of the polygon

2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> S = (7-2)180

---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)

---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900

This means that the sum of all interior angles is 900 degrees.

3) Now, we have to find out the sum of all the angles that they gave us so:

---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 900

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

4) We have to combine all like terms on the left side:

---> 10x + 10x + 9x + 12x + 10x = 51x

---> 9 + 133 + 14 -9+5+136 = 288    

5) This means that ---> 51x + 288 = 900

Subtract 288 from both sides  and get:

---> 51x = 612    (900-288 = 612)

Then divide by 51 from both sides and get:

---> x = 12     (612 ÷ 51 = 12)

Therefore b.12 is your answer.

<em>Hope you understood and have a nice day!! :D</em>

8 0
2 years ago
What is the length of the diagonal of a rectangle with a base of 4 and an altitude of 3
alexandr1967 [171]
5.
the diagonal squared = base squared + altitude squared.
5 0
3 years ago
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A circle has an arc of length 20π that is intercepted by a central angle of 180°. What is the radius of the circle?
Bond [772]

Answer:

10π

Step-by-step explanation:

RULE:  The angle measure of the central angle is congruent to the measure of the intercepted arc.  

RULE:  Central Angle = Arc length

Given:  

Arc length (20 π) = central angle (180)

we know 180 degrees is a straight line, thus a semi-circle is created.  This would be the diameter.  

1/2 diameter is the radius.  20π/2 is the radius.  

10π

8 0
3 years ago
Can someone find slope ?
Lana71 [14]
Negative. It’s the only one that makes since. ( probably)
3 0
3 years ago
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