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Anna71 [15]
2 years ago
7

(This question is related to the picture question)

Mathematics
1 answer:
UNO [17]2 years ago
6 0

Answer:

5. f(x) = 10,000 (1.5)^x

Step-by-step explanation:

==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

  • Let's test it

Initial: 10,000

After 1 year

10,000 + (.5*10000)

10,000 + 5000 = 15,000

--

After 2 years

15,000 + (.5*15000)

15,000 + 7500 = 22,500

--

Let's try our equation.

f(x) = 10,000 (1.5)^x

x=2

10,000(1.5)^2

10,000(2.25) = 22,500

*Edit: I just seen that the question is related to the picture question

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alex has a 48 mile trail first half of the time he was biking twice as fast as the second half of the time if he spent 4 hours o
Irina-Kira [14]

Answer:

16 mph

Step-by-step explanation:

Givens:

4 hours total time

48 miles total distance

So our equation should look like this.

48 = 2x(2) + x(2)

Where x = speed second half of trip.

x = 8

x*2 = 16 mph

4 0
3 years ago
Plzzz help me<br><br><br>In direct variation, as y increases, x decreases.<br><br><br>True or false?
Karolina [17]
I feel like that’s false
3 0
2 years ago
What is the equation of a line passing through (5,2) and parallel to the line represented by the equation y - 2x + 1?
34kurt

Step-by-step explanation:

Im not sure if its supposed y = -2x + 1 or y = 2x + 1 but I'll solve the problem for both.

First for y = -2x + 1

Since the line has to be parallel to y = -2x + 1

the slopes would be the same.

so, so far the equation would be

y = -2x + b

now we substitute (5,2) into the equation

2 = -2(5) + b

2 = -10 + b (Add 10 to both sides of the equation)

+10 +10

12 = b

Now that we solved for b

The equation would be

y = -2x + 12

^^ This equation is parallel to y = -2x + 1

Now to solve for an equation parallel to y = 2x + 1

Both equations would have the same slope

So far we would have

y = 2x + b

Now we solve for be by substituting the point (5,2)

2 = 2(5) + b

2 = 10 + b (subtract 10 from both sides)

-10 -10

-8 = b

After solving for b

The equation is

y = 2x - 8

This equation is parallel to y = 2x + 1

4 0
2 years ago
How to solve x^2+x-90=0 in completing the square method​
tigry1 [53]

Rearrange the equation by writing

x² + x - 90 = 0

x² + x = 90

x² + x + 1/4 = 90 + 1/4

Recall that (a + b)² = a² + 2ab + b². Then

x² + 2 • x/2 + (1/2)² = 361/4

(x + 1/2)² = 361/4

x + 1/2 = ± √(361/4)

x = -1/2 ± 19/2

x = 9   or   x = -10

3 0
2 years ago
Find x when<br> k(x) = -6<br> k(x) = -7x+1
sp2606 [1]

Answer:

x = 1

Step-by-step explanation:

Since both equations are equal to k(x), both equations are also equal to each other.

Begin by setting up the equation like this: -6 = -7x + 1

Simply solve for x by subtracting each side by 1 (-7 = -7x)

Finally, divide both sides by -7 to get 1.

4 0
2 years ago
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