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Anastasy [175]
3 years ago
10

Write an exponential function in the form y=ab^x that goes through points (0,14) and (3,3024).

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0

Answer:

y = 14 (6)^{x}

Step-by-step explanation:

For an exponential function of the form y = ab^{x}

Use the given points to find a and b

Using (0, 14 ), then

14 = ab^{0} ( b^{0} = 1 ) , thus

a = 14

y = 14b^{x}

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = \sqrt[3]{216} = 6 , thus

y = 14 × 6^{x} ← exponential function

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Simplify Which of the following is correct?
aalyn [17]

The difference between mixed numbers gives:

-5¹/₆ - (-8¹/₂) = 3¹/₃

So the correct option is the third one.

<h3 /><h3>How to get the difference between mixed numbers?</h3>

Here we want to compute the difference between two mixed numbers.

First, remember that we can rewrite those as:

-5¹/₆ = (-5 - 1/6)

-8¹/₂ = (-8 - 1/2)

Now, let's go to the difference:

-5¹/₆ - (-8¹/₂)

First you can see that there are two negative signs together, so it is equivalent to a positive sign:

-5¹/₆ - (-8¹/₂) = -5¹/₆  + 8¹/₂

Now we can replace the mixed numbers to get:

-5¹/₆  + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3

And that can be rewritten to:

3 + 1/3 = 3¹/₃

Which is completely simplified.

So we conclude that the correct option is the third one, counting from the top.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

#SPJ1

6 0
2 years ago
Solve using any method. All work must be shown and handwritten.
Rashid [163]

Answer:

x =  - 3

y = 1

Step-by-step explanation:

Write the system

3x - y =  - 10

x + y =  - 2

Solve by Elimination.

multiply the second equation by -3.

3x - y =  - 10

-3x   - 3y =  6

Add the Equations.

- 4y =  - 4

y = 1

Plug this back in one of the equations.

x + 1 =  - 2

x =  - 3

8 0
2 years ago
Read 2 more answers
The weights of 40 students were recorded. If the 75th percentile of
RUDIKE [14]
In the given question, there are numerous information's already provided. It is important to note then down first. With the help of those given information's the required answer can be easily reached.
Percentage of students that weighed 140 pounds = 75 percent
Then
Percentage of students that weighed more than 140 pounds = (100 - 75) percent
                                                                                                  = 25 percent
Total number of students that were weighed = 40 students
Total number of students that weighed more than 140 pounds = (25/100) * 40
                                                                                                    = (40/4) students
                                                                                                    = 10 students
So the number of students that weighed more than 140 pounds is 10. So the correct option in regards to the given question is option "1".
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3 years ago
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\huge\bf\red{answer}

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Salsk061 [2.6K]

Answer:

a- 3 batches

b-

1 \frac{1}{2}  = 1.5

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