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bulgar [2K]
3 years ago
12

Solve for x: 3^(x+3)=9

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

-1

Step-by-step explanation:

To solve equations like this we need to use the following rule

x^y=z\\y=log_xz

We have

3^{x+3}=9\\x+3=log_39\\x+3=2\\x= -1

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Over the last three evenings, Mary received a total of 116 phone calls at the call center. The third evening, she received 3 tim
Tanya [424]
<h2>Answer:</h2>

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

<h2>Step-by-step explanation:</h2>

You need to set variables and create system of equations first.

First evening=  x

Second evening= y

Third evening = z

x+y+z=116

z=3x

y=x-9

Now you plug in the values into the equation x+y+z=116

x+(x-9)+(3x)=116

5x-9=116

5x=125

x=25

You plug in the value of x into the other equations.

x= 25

z= 3*(25)=75

y=(25-9)=16

Rearrange so it corresponds with days...

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

5 0
3 years ago
Read 2 more answers
A farm lets you pick 3 pints of raspberries for $12.00.
Aloiza [94]

Answer:a.4 dollars per pint

b.4th a pint/ 1 cup per dolllar

c. 5 pints

d.32 dollars

Step-by-step explanation:

6 0
3 years ago
What is the average rate of change of the function on the interval from x = 1 to x = 2?
neonofarm [45]

x=1 f = 10(5.5)(1) = 55

x=2, f = 10(5.5)(2) = 110

110-55 = 55

2-1 =1

55/1 = 55

 average rate of change = 55

6 0
3 years ago
What is the equation of the line that passes through (-5, 0) and (4, 3)?
kotegsom [21]

Answer:

y = 1/3x + 5/3

Step-by-step explanation:

An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - 1

3 - 0/ 4 - (-5)

= 3 / 9

= 1/3

Now that we know the slope, we need to plug the values of x and y to find the y-intercept.

y = 1/3x + b

3 = 1/3(4) + b

3 = 4/3 + b

5/3 = b

The equation is y = 1/3x + 5/3

3 0
3 years ago
Help help help help pleaseeeee
NeX [460]

Answer:

h=13

P=5

b=12

Step-by-step explanation:

  1. tanA=<em>p</em><em>÷</em><em>b</em><em>=</em><em>5</em><em>÷</em><em>1</em><em>2</em>
  2. sin<em>A</em><em>=</em><em>p</em><em>÷</em><em>h</em><em>=</em><em>5</em><em>÷</em><em>1</em><em>3</em>
  3. <em>c</em><em>o</em><em>s</em><em>A</em><em>=</em><em>b</em><em>÷</em><em>h</em><em>=</em><em>1</em><em>2</em><em>÷</em><em>1</em><em>3</em>
4 0
3 years ago
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