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inessss [21]
2 years ago
10

Select the correct answer.

Mathematics
1 answer:
love history [14]2 years ago
3 0

The graph of the function f(x)=3(2)^x -4 passes through the points (0,-1), (1,2), (2,8) and (3,20)

<h3>What are exponential functions?</h3>

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function.

here usual form is specified below. They are written in several such equivalent forms.

The equation of the function is given as:

f(x)=3(2)^x -4

Set x = 0, 1, 2 and 3

f(0)=3(2)^0 -4 = -1\\f(1) = 3(2)^1 - 4 = 2\\f(2) = 3(2)^2- 4 = 8\\\\f(3) = 3(2)^3 - 4 = 20

This means that the graph of the function f(x) = 3(2)^x -4 passes through the points (0,-1), (1,2), (2,8) and (3,20).

Read more about exponential graphs at:

brainly.com/question/11832081

#SPJ1

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Maurinko [17]

Answer: a) 3 and -3 b) 4 and 2

c) 3.5 and 2.5 d) 5.5 and 0.5 e) This is due to the difference in the coefficient of (x-3)² and the value at the right side of each equation.

Step-by-step explanation:

a) 3x²-9 = 0

3x² = 0+9

3x² = 9

Dividing both sides by 3

x² = 9/3

x² = 3

x = √3

x = +3 and -3

b) (x-3)² = 1

Taking square root of both sides to remove the square,

√(x-3)² = √1

x-3 = √1

x-3 = 1 and x-3 = -1 (note that √1 is +1 and -1)

x = 4 and x = 2

c) 4(x-3)² = 1

Dividing both sides by 4 we have;

(x-3)² = 1/4

Taking the square root of both sides to eliminate the square.

√(x-3)² = √1/4

x-3 = √1/4

x-3 = +1/2 and x-3 = -1/2

x = 1/2+3 and x = -1/2+3

x = 3.5 and 2.5

d) 2(x-3)² = 12

Dividing both sides by 2 we have;

(x-3)² = 12/2

Taking the square root of both sides to eliminate the square.

√(x-3)² = √12/2

x-3 = √6

x-3 = 2.5 and x-3 = -2.5

x = 2.5+3 and x = -2.5+3

x = 5.5 and 0.5

e) The answers to questions 1 to 4 has different solutions due to the different value of the coefficient of (x-3)² and also the value at the right hand side of the equations also differs, hence, the reason for the difference in their answers.

3 0
3 years ago
Pls help me with My math I need the ans rn, Tysm.​
Ira Lisetskai [31]

Answer:

35 degrees

30 degrees

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3 years ago
What is the volume of a rectangular prism with a length of 7 centimeters, a width of 3 centimeters, and a height of 2 centimeter
fiasKO [112]

Answer:

42cm³

Step-by-step explanation:

7*2*3=42

7*2=14

14*3=42

42

5 0
3 years ago
A family paid ​$30600 as a down payment for a home. If this represents ​%17 of the price of the​ home, find the price of the hom
snow_lady [41]

Answer:

180000

Step-by-step explanation:

30600/17=1800

1800•100=180000

7 0
3 years ago
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What is the probability that a patient shows improvement
Alexeev081 [22]

Answer:

.3375

Explanation:

Total people who were given drug: 800

Total people who showed improvement: 270

Probability:

\boxed{ \sf \dfrac{favorable  \ outcomes }{total \  possible  \ outcomes}}

<em>insert values</em>

\rightarrow \sf \dfrac{270}{800}

<em>simplify</em>

<em />\rightarrow \sf \dfrac{27}{80}

<em>in decimals</em>

\rightarrow \sf 0.3375

3 0
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