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3 years ago

determine a formula for the exponential function whose graph passes through the points (0,3)and (2,6)

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

5 0

The initial value is 3 (when x=0), and the multiplier is 2, when x=2. The equation can be written as
.. y = 3*(2^(x/2))

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Please help me with this question!

astra-53 [7]

Answer:

12 miles

Step-by-step explanation:

Let the amount of hours it takes Leroy to catch up to Kevin equal x. Since speed multiplied by time is distance, Leroy would have run a total of 6x miles(6*x). Kevin already had a head start of 24 minutes, which is the same as 2/5 of an hour. In 2/5 an hour, Kevin ran 2 miles as 2 is 2/5 *5. For the next x hours his distance would be a total of 5x(5*x). This means, after x hours, Kevins distance is 5x + 2. In this case, catching up to someone is the same as having the same distance value. This means we can set the two expressions equal to each other, and solve:

6x = 5x + 2

x = 2

The time it took Leroy to catch up is 2 hours, but we are looking for the distance, which is represented by 6x. We substitute in 2 to get:

6(2) = 12

This means Leroy had to run 12 miles.

8 0

3 years ago

Create a proportion using the form = to represent the following word problem.

Anna11 [10]

Answer :
x = 53.85

Step by step explanation:
If 78% of x (some numbers) is equal to 42, then we must set this as an equation to find it.

1) Rewriting 78% as a fraction and considering that when we say 78% of some number (x) we mean a product.
78% = 78/100 ➡️ 78/100x = 42

2) Then we can go on :
100 * 78/100x = 42 * 100
78x = 4200
78x/78 = 4200/78 ➡️ x = 53.85

3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :

42/0.78 = 53.85

4 0

2 years ago

Read 2 more answers

7 (5х + 2) = 3х + 14<br> Need help solving

FinnZ [79.3K]

Answer: 0

35X +14=3X +14
35X = 3X
35X-3X=0
32X = 0 divide both sides by 32
x=0

3 0

3 years ago

Read 2 more answers

Solve |x – 4| + 6 = 17.

const2013 [10]

Answer:

$\mathrm{C)\:}x=15,\:-7$

Step-by-step explanation:

For $|a-b|=c$ , there are two possible cases:

$\begin{cases}a-b=c\\a-b=-c\\\end{cases}$

Solving for both cases, we get:

$\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}$

6 0

3 years ago

Need help what are the classifications of each system

ratelena [41]

You can graph them on Desmos, then use this attachment to find out the classification.

In the first system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.

In the second system, they're parallel lines with no solution, therefore the answer is inconsistent.

In the third system, they intersect and they have one solution, therefore the answer is consistent, independent.

In the fourth system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.

5 0

3 years ago