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DanielleElmas [232]
4 years ago
8

Someone help me please I don't know how to do this ! :(

Mathematics
1 answer:
Ivanshal [37]4 years ago
5 0
4^{x+1}=21\\
x+1=\log_421\\
x=\log_421-1\\
x=\log_421-\log_44\\
x=\log_4\dfrac{21}{4}\\
x=\dfrac{\ln \dfrac{21}{4}}{\ln 4}\approx 1.1962
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Read 2 more answers
Which of the following coordinate pairs make the equation x - 9y = 12 true?
Ne4ueva [31]

Options:

(12,0)     (0,12)    (3,-1)    (0,-4/3)

Answer:

(12,0) ,  (3,-1)  and (0,-4/3)

Step-by-step explanation:

Given

x - 9y = 12

Required

Which option is true?

A coordinate point is of the form; (x,y)

So, we have to substitute the x and y values in the given equation.

A. For (12,0)

x = 12 and y = 0

x - 9y = 12 becomes

12 - 9*0 = 12

12 - 0 = 12

12 = 12

<em>This is true</em>

B. For (0,12)

x = 0 and y = 12

x - 9y = 12 becomes

0 - 9*12 = 12

- 9*12 = 12

- 108 = 12

<em>This is false</em>

C. For (3,-1)

x =3 and y = -1

x - 9y = 12 becomes

3 - 9*-1 =12

3 + 9 =12

12 = 12<em></em>

<em></em>

<em>This is true</em>

D. For (0,-4/3)

x = 0 and y = -\frac{4}{3}

x - 9y = 12 becomes

0- 9*-\frac{4}{3} = 12

0+ 9*\frac{4}{3} = 12

0+ 3*4 = 12

0+12 = 12

12 = 12

<em></em>

<em>This is true</em>

<em></em>

<em>Hence, (12,0) ,  (3,-1)  and (0,-4/3) are true values of the equation</em>

5 0
3 years ago
A teacher has 20 students. Each student is paying $12.50 for a ticket to see a play during a field trip. The teacher collects th
Neporo4naja [7]

Answer:

$75

Step-by-step explanation:

<h3>Steps to determining the answer</h3>
  1. Determine the number of students that would pay in the second week. This can be known by subtracting 14 from 20. 20 is the total number of students. 14 is the number of students that paid in the first week.
  2. Multiply the answer gotten from one above by the price of the ticket

20 - 14 = 6

6 students would pay in the second week

6 x $12.50 = $75

The teacher would collect $75 in the second week

3 0
3 years ago
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