First differences are 2, 4, 8, 16, which is a geometric sequence. The parent function is not linear (constant first difference) or quadratic (first difference increases by the same amount from one to the next). When the first differences are a geometric sequence, the underlying sequence is a geometric (exponential) sequence.

1st blank: exponential

Translation up adds a constant to each of the f(x) values.

2nd blank: f(x)
3rd blank: increased by 5

For the last blank, you're looking for an (x, f(x)) pair that is translated to (x, f(x)+5).

4th blank: (2, 16)

3 0

3 years ago

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Lindsay used two points x,y and x2, y2 to the equation of the line y= mx +b that passes through the points first she used the de

DiKsa [7]

Answer:

its A

Step-by-step explanation:

can pls have brainiest

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3 years ago

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Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones th

Dafna11 [192]

Answer:

Robbie: 6
Cameron: 9
Louis: 12
Tom: 15
Charlie: 18

Explanation:

1) Assume that Rachel sold all the cones: 60

2) Call x the amount that Robbie bought and d the constant increase on the purchse.

3) That means that the number of cones bought by each one is:

Robbie: x
Cameron: x + d
Louis: x + d + d = x + 2d
Tom: x + 2d + d = x + 3d
Charlie x + 3d + d = x + 4d

The sum of that is: x + (x + d) + (x + 2d) + (x + 3d) + (x + 4d) = 5x + 10d = 60

5x + 10d = 60 may be simplified by dividing each side by 5 => x + 2d = 12.

Equation (1) x + 2d = 12

4) Robbie and Cameron’s combined total number of scones is three sevenths of the total of Louis, Tom and Charlie

=> x + (x + d) = [3/7] [ (x + 2d) + (x + 3d) + (x + 4d) ]

=> 2x + d = [3/7] (3x + 9d)

=> 7(2x + d) = 3 (3x + 9d)

=> 14x + 7d = 9x + 27d

=> 14x - 9x = 27d - 7d

=> 5x = 10d

=> x = 2d

Equation (2) x = 2d

5) Now you just have to solve this simple system of equations:

x + 2d = 12

x = 2d

Subitituing x for 2d in the first equation: x + x = 12 => 2x = 12 => x = 6

Now replace x = 6 in any of the two equations and you get the value of d.

For example, from x = 2d => d = x / 2 = 6 /2 = 3.

6) Finally, calcualte the number of cones of each:

 Result
Robbie: x 6
Cameron: x + d 6 + 3 = 9
Louis: x + d + d = x + 2d 9 + 3 = 12
Tom: x + 2d + d = x + 3d 12 + 3 = 15
Charlie x + 3d + d = x + 4d 15 + 3 = 18
 -----------------------------------------
Total 6 + 9 + 12 + 15 + 18 = 60

8 0

3 years ago

state the inverse, contrapositive, and converse of each conditional statement. then indicate whether the inverse, contrapositive

djyliett [7]

The inverse is the false and the Converse is the true.

According to the statement

We have to find that the contra positive, and converse are true.

So, For this purpose, we know that the

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion.

From the given information:

if 3 is a prime number then 5 is an even number.

Then

a) Inverse: If 3 is not a prime number, then 5 is not an even number. (True)

Contra positive: If five is not an even number, then 3 is not a prime number. (False)

Converse: If 5 is an even number, then 3 is a prime number. (True).

And

b) if 7 < 5, then 5 < 3

This statement is the false because the first statement is the false.

So, The inverse is the false and the Converse is the true.

Learn more about conditional statement here

brainly.com/question/11073037

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8 0

2 years ago

Of 1. The book is on the​

Of 1. The book is on the