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AleksAgata [21]
3 years ago
7

30 points need help. WILL MARK BRAINLIEST. Identify the initial amount a and the rate of growth r (as a percent) of the exponent

ial function g(t)=6.72(2)^t . Evaluate the function when t=5 . Round your answer to the nearest tenth.
a =


r = _%


t=5, g(5) approximate equals _

Mathematics
1 answer:
weqwewe [10]3 years ago
4 0

Answer:

A=6.72

R=2%

g(5)=215.04

Step-by-step explanation:

explanation is the picture.

HOPE THIS HELPED!!! HAVE A GREAT DAY!!!

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Rina8888 [55]

Lower quartile (xL): 20

7 0
3 years ago
7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4
DerKrebs [107]

9514 1404 393

Answer:

  (x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

  7a +4b = 5/4

  8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

  (7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

  8b = 8/4

  b = 1/4

Substituting into the first equation gives ...

  7a +4/4 = 5/4

  a = 1/28

__

Now, we can get back to solving for x and y.

  4x +3y = 1/a = 28

  4x -3y = 1/b = 4

  8x = 32 . . . . . . . . . add the two equations

  x = 4

  3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

  y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0
3 years ago
Please help me quick!!!!<br> 10 Points!!!! <br> BTW Sorry for the bad picture
Lesechka [4]

Answer:

(B) There are 12 glasses for every 1 table

Step-by-step explanation:

Since the graph is a perfectly straight line, we can assume that there is a proportional relationship. Looking at the axes confirms this. For the 1st table, there are 12 glasses, for the 2nd, there are 24, and so on.

So, we can see that the proportion between tables and glasses is 12:1. For every 1 table, 12 glasses must be placed on it.

So, if they gave this to you as a table or a formula, you'd simply need to multiply 12 by the number of tables to see how many glasses are required.

5 0
3 years ago
Read 2 more answers
Given the function f(x) = x3 + x2 − 2x + 1, what is the resulting function when f(x) is shifted to the left 1 unit?
irga5000 [103]

For this case we have the following function:

f (x) = x ^ 3 + x ^ 2 - 2x + 1

We apply the following function transformation:

Horizontal translations:

Suppose that h> 0

To graph y = f (x + h), move the graph of h units to the left.

We have then for h = 1:

f (x + 1) = (x + 1) ^ 3 + (x + 1) ^ 2 - 2 (x + 1) + 1

Rewriting we have:

f (x + 1) = (x ^ 3 + 3x ^ 2 + 3x + 1) + (x ^ 2 + 2x + 1) + (-2x - 2) + 1

Rewriting we have:

f (x + 1) = x ^ 3 + 4x ^ 2 + 3x + 1

Answer:

The resulting function when f (x) is shifted to the left 1 unit is:

f (x + 1) = x ^ 3 + 4x ^ 2 + 3x + 1

7 0
3 years ago
Read 2 more answers
A quadratic equation is written in four equivalent forms below.
____ [38]
IV is the most useful (even though all will work)
To find the y-intercept, take x=0 and substitute it into the equations.

We can see that if x=0, you can very easily observe that option IV reduces to
y = 0 + 0 - 24 = -24.
Hence (0,-24) is the y-intercept
6 0
3 years ago
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