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iren2701 [21]
3 years ago
6

Find the X-intercept f(x)=3^(x-1)-2

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0
<h2>Hello!</h2>

The answer is:

The function intercepts de x-axis at "x" equal to 1.631.

<h2>Why?</h2>

To find the x-intercept of the function, we need to make f(x) or "y" equal to 0, and then, isolate "x".

So, isolating we have:

f(x)=3^{(x-1)} -2\\\\0=3^{(x-1)} -2\\\\3^{(x-1)}=2\\\\Log_{3}(3^{(x-1)})=Log_{3}(2)\\\\x-1=0.631\\\\x=0.631+1=1.631

Hence, we have that the function intercepts de x-axis at "x" equal to 1.631.

Have a nice day!

Note: I have attached a picture for better understanding.

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what is the area of a circle with radius of 7cm using 3.14 for pi and round to he nearest tenth plz hurry
Sophie [7]

Answer:153.9 cm

Step-by-step explanation:

The area of a circle is found by pi × radius squared and pi is aprox 3.14 so 3.15×7² = 153.86 then round off to the nearest tenth you get 153.9

5 0
3 years ago
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fiona draws a 24 centimeter rectangle.gregory draws a 24 square inch rectangle.whose rectangle is in area .how do you know
Valentin [98]

Answer:

Therefore we come to a conclusion that,

Gregory's Rectangle is in Area.

Step-by-step explanation:

Given:

Fiona draws a 24 centimeter rectangle.

Gregory draws a 24 square inch rectangle.

To Find:

Whose rectangle is in area = ?

Solution:

Rectangle has a dimension as

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For Area

Area\ of\ Rectangle=Length\times Width

here units are getting Multiplied so it becomes

unit × unit = unit²  = square units

m × m = m² =square meter

inch × inch = inch² =square inches

Hence Area is calculated in square units.

Therefore we come to a conclusion that,

Gregory's Rectangle is in Area.

6 0
3 years ago
Thirteen less than eight times a number is three more than four times the number.
Lisa [10]

Answer:

Step-by-step explanation:

Let the number = x

8x - 13 = 4x + 3              Add 13

8x = 4x + 3 + 13             Combine

8x = 4x + 16                   Subtract 4x

8x - 4x = 16                    Combine

4x = 16                           Divide by 4

x = 16/4

x = 4

6 0
3 years ago
Step by step how to solve 4x+2=5(x+10)​
Shalnov [3]

Answer:

x = -48

Step-by-step explanation:

4x + 2 = 5(x + 10)

expand the 5(x+10)

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-2 both sides

4x + 2 - 2 = 5x + 50 - 2

simplify

4x = 5x + 48

-5x both sides

4x - 5x = 5x + 48 - 5x

simplify

-x = 48

÷ (-1) both sides

-x ÷ (-1) = 48 ÷ (-1)

simplify

x = -48

The answer is x = -48.

8 0
3 years ago
How do i find the perimeter?
Arada [10]

Answer: 8x+12

Step-by-step explanation:

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