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3 years ago

10

An exponential function has the equation y = (0.5)^x-1. Four points from a different function as shown in the table. For what va

lues of x will two functions be equal?

1 answer:

Alexandra [31]3 years ago

5 0

Answer: f(x) = 64 * (3/4)^x

Step-by-step explanation: f(x)=ab^x

When x=0 f(x) = 64

64 = ab^0

b^0 =1 so

64 =a

f(x)=64 b^x

When x=1 f(x) = 48

48 = 64 *b

Divide by 64

48/64 =b

6/8 =b

3/4 =b

f(x) = 64 * (3/4)^x

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viktelen [127]

The answer is thirty six miles

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A computer store buys a computer system at a cost of 474.60 $. The selling price was first at 791 , but then the store adverti

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3 years ago

The sum of two number is 6. Twice the first number added to three times the second number is 10. Write a system of equations and

seropon [69]

Answer:

4 and 2 are the required numbers which satisfies the given equations

Step-by-step explanation:

Let the two numbers be x and y

According to the first condition

their is is 6

which is

x + y =6 ........................(i)

Now according to second condition

twice the first number i.e. 2x added to three time the second number i.e. 3y is 10

in form of equation it could be written as

2x + 3y = 10 ........................(ii)

Now from first equation we have

x + y =6

subtracting y from both sides

x = 6 - y .....................(iii)

Now putting this value of x in equation (ii)

equation (ii) is

2x + 3y = 10

Putting the value gives

2(6-y)+3y = 10

opening the brackets

12 - 2y + 3y = 10

12 - y = 10

subtracting 12 from both sides

12 - y -12 = 10 -12

it becomes

- y = -2

multiplying both sides by (-1)

it becomes

(-1)(-y) = (-2) * (-1)

y = 2

Now we got the value of y put it in equation iii which is

x = 6 -y

putting the value

x = 6 - 2

x = 4

So the two numbers are x = 4 and y = 2

3 0

3 years ago

If I had $2million to pay for 20 million meals, how much does each meal cost?

natita [175]

Answer:

$0.10

Step-by-step explanation:

Divide 2 million by 20 million:

2,000,000/20,000,000

= 0.1

So, each meal costs $0.10

4 0

3 years ago

What must be true for lines a and b to be parallel lines? Select two options.

Rasek [7]

The expression that must be true for a to be parallel to b are mAngle2 = 58Degrees and <1 = 4x - 10

<h3>Lines and angles</h3>

A line is the shortest distance between two points and the point where two lines meet is known as an angle

From the figure shown

m<2 = 58 degrees (alternate exterior angle)

Since the sum of angles on a straight line is 180 degrees, hence;

3x-1+<2 + 4x - 10= 180

3x-1 + 58 + 4x - 10 =180

7x + 47 = 180

7x = 180- 47

7x = 133

x = 19

Hence the expression that must be true for a to be parallel to b are mAngle2 = 58Degrees and <1 = 4x - 10

Learn more on lines and angles here; brainly.com/question/25770607

#SPJ1

8 0

2 years ago