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2 years ago

Turn the written information into a equation (exponential function):

Mathematics

1 answer:

zmey [24]2 years ago

8 0

Step-by-step explanation:

common ratio is usually used for geometric sequences.

every term is created by multiplying the previous term by a certain constant factor (= common ratio).

this factor or common ratio is in our case 4.

such a sequence is a function f(x) for x being whole numbers.

a0 = 1

a1 = a0×4 = 1×4 = 4

a2 = a1×4 = 4×4 = 16

...

an = 4^n

as general function that is then

f(x) = 4^x

a horizontal shift right by 6 units means that now the functional value of x is the same as it was for (x-6) before the shift.

e.g. f_new(6) = f_old(0)

so, the function is

f(x) = 4^(x - 6) or (4^x)/4⁶

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LekaFEV [45]

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3 years ago

Read 2 more answers

Solve each system by substitution.<br> y = 2x + 5<br> 3x - y= -6

castortr0y [4]

X=-1 and y=3

To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.

You now have 3x - (2x + 5) =-6

This can be solved like a normal equation. Multiply each term in the parenthesis by -1.

3x - 2x - 5 = -6

Subtract 2x from 3x

x - 5 = -6

Add 5 to both sides

x=-1

Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.

y= 2(-1)+5
y= -2+5
y=3

You can check your answer by plugging in the values for x and y into both equations and making sure both sides equal each other.

7 0

3 years ago

What is the value of x in equation (-35)^x = 1

FinnZ [79.3K]

Answer:

x = 0.

Step-by-step explanation:

(-35)^x = 1

Now any number to the power 0 is 1.

So x = 0.

5 0

4 years ago

Please help, multiple choice

IRISSAK [1]

The answer is A and G

5 0

4 years ago

On a multiple choice test with 17 questions, each question has four possible answers, one of which is correct. For students who

Ira Lisetskai [31]

<h2>The required "option c) 4.3" is correct.</h2>

Step-by-step explanation:

Given,

Total number of multiple choice questions = 17

To find, the mean for the number of correct answers = ?

Each question has four possible answers.

If guessing at random:

There is only one in four chances.

$\dfrac{1}{4}\times 100$ = 25 % chance of getting a particular question right.

This is the same probability for each of the 17 questions.

If there is a 25 % chance of getting any given question right.

There are 17 questions.

∴ The total number of questions you will expect to get right =

25 % × 17

= $\dfrac{25}{100} \times 17$

= $\dfrac{17}{4}$

= 4.25

≈ 4.3

∴ The mean for the number of correct answers = 4.3

Thus, the required "option c) 4.3" is correct.

3 0

4 years ago