1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
n200080 [17]
3 years ago
14

Given the exponential function g(x) = 12(2⁄3)x, find g(0) and g(1).

Mathematics
2 answers:
PolarNik [594]3 years ago
6 0

Answer:

A g(0) =12  g(1) = 8

Step-by-step explanation:

g(x) = 12(2⁄3)^x

g(0) means x=0

g(0) = 12(2⁄3)^0

        =12 (1) = 12

g(1) means x=1

g(1) = 12(2⁄3)^1

     =12 (2/3)

     =24/3 = 8

KatRina [158]3 years ago
6 0

Answer:

The Answer is A

Step-by-step explanation:

1. g(0) means that we need to replace X by 0 in the given function. For the other case, g(1) means we need to replace X by 1 in the given function.

2. For the first case we have

g(0)= 12 (\frac{2}{3} )^ 0 =12(1)=12

note: remember any number raised to the 0 is 1

3. For the second case we have

g(1)=12(\frac{2}{3} )^1=12(2/3)= \frac{24}{3}=8

note: remember any number raised to 1 yields the same number.

You might be interested in
How do you do coordinates?​
suter [353]

Answer:

Start at (0, 0), or the origin. Just go to (0, 0), which is the intersection of the x and y axes, right in the center of the coordinate plane. 2. Move over x units to the right or left. Let's say you're working with the set of coordinates (5, -4). Your x coordinate is 5.

Step-by-step explanation:

4 0
3 years ago
If you are 600 m from a batter when you see him hit a ball, how long will you wait to hear the sound of the bat hitting the ball
Molodets [167]

Answer:

<em>The speed of sound at 20°C is 343.42 m/s.</em>

<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>

Step-by-step explanation:

<u>Speed of Sound</u>

The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}

The air is at T=20°C, thus the speed of sound is:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}

v_{\mathrm {s} }=343.42\ m/s

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

\displaystyle v=\frac{d}{t}

Where d is the distance and t is the time. Solving for t:

\displaystyle t=\frac{d}{v}

Substituting the values v=343.42 m/s and d=600 m:

\displaystyle t=\frac{600}{343.42}

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

6 0
4 years ago
Somebody tell me this ...
Sloan [31]
I think y= -9/12x + .5
4 0
3 years ago
How can data or a graph be misleading?
Shtirlitz [24]
The correct answer should be
B) having outliers
Hope this helps!
6 0
3 years ago
30°<br> 8 + 6x<br> 4x + 2 <br> in a triangle
andrey2020 [161]

Answer:

x=12

Step-by-step explanation:

Simplifying

30 + 4x + 2 = 8 + 6x

Reorder the terms:

30 + 2 + 4x = 8 + 6x

Combine like terms: 30 + 2 = 32

32 + 4x = 8 + 6x

Solving

32 + 4x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

32 + 4x + -6x = 8 + 6x + -6x

Combine like terms: 4x + -6x = -2x

32 + -2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

32 + -2x = 8 + 0

32 + -2x = 8

Add '-32' to each side of the equation.

32 + -32 + -2x = 8 + -32

Combine like terms: 32 + -32 = 0

0 + -2x = 8 + -32

-2x = 8 + -32

Combine like terms: 8 + -32 = -24

-2x = -24

Divide each side by '-2'.

x = 12

Simplifying

x = 12

4 0
3 years ago
Other questions:
  • Find the missing measure
    6·1 answer
  • 3RD TIME I ASK QUESTION NO ANSWER JUST NEED THE ANSWER
    6·1 answer
  • 33/7 + 28/6 needs to made to a mixed number but how?
    12·1 answer
  • A map has a scale of 2 cm equals 30 miles. If two towns are 300 miles apart, how far are they away from each other on the map?
    14·2 answers
  • Antonia solves an equation incorrectly. Her work is shown in the table
    12·1 answer
  • What sequence of transformations map ABC to PQR?
    10·1 answer
  • S
    15·1 answer
  • Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
    8·1 answer
  • 14) Write the equation of the line that is represented by this graph.
    11·2 answers
  • You and a friend are playing a game by tossing two coins. If both coins land on heads,
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!