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3 years ago

Which equation represents exponential growth?

Mathematics

1 answer:

seropon [69]3 years ago

6 0

The exponential function with a base greater than 1 is

d. y = 6^x

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Does the table show an exponential function?

Alexus [3.1K]

Yes it does the line will gradually increase

4 0

3 years ago

24+3x=3x+3(7-1) What does x equal? Please show me how to do it I don't want the answer. (Well I do but show me how to get it als

balandron [24]

24 + 3x = 3x + 3(7 - 1)

Eliminate the parentheses: 24 + 3x = 3x + 3(6)

24 + 3x = 3x + 18

Subtract 3x from each side: 24 = 18

Look at that for a second. Can ANY value of 'x' make 24 equal to 18 ?
I don't think so.
There's NO number that makes the equation a true statement.

That's just another way to say: "The equation has NO solution."

5 0

3 years ago

Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest fo

agasfer [191]

From the recursive rule

$a_n = a_{n-1}-13$

it follows that

$a_{n-1}=a_{n-2}-13 \implies a_n = a_{n-2} - 2\times13$

$a_{n-2}=a_{n-3}-13 \implies a_n = a_{n-3} - 3\times13$

and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with

$a_n = a_1 + (n-1)\times13$

so that the explicit rule for the n-th term in the sequence is

$a_n = -2 + 13(n-1) \implies a_n = \boxed{13n-15}$

6 0

2 years ago

3-2i/1+4i include each step necessary in simplifying

Likurg_2 [28]

Answer:

$\frac{3-2i}{1+4i}=\frac{11}{17}-\frac{10}{17}i$

Step-by-step explanation:

$\frac{3-2i}{1+4i}$ <-- Given

$\frac{3-2i}{1+4i}*\frac{1-4i}{1-4i}$ <-- Multiply by the conjugate of the denominator as a factor of 1

$\frac{(3-2i)(1-4i)}{(1+4i)(1-4i)}$

$\frac{(3)(1)+3(-4i)-2i(1)-2i(4i)}{(1)(1)+1(-4i)+4i(1)+4i(-4i)}$ <-- Use the Distributive Property and FOIL

$\frac{3-12i-2i-8i^2}{1-4i+4i-16i^2}$

$\frac{3-10i-8i^2}{1-16i^2}$

$\frac{3-10i-8(-1)}{1-16(-1)}$ <-- Rewrite $i^2$ as $-1$

$\frac{3-10i+8}{1+16}$

$\frac{11-10i}{17}$

$\frac{11}{17}-\frac{10}{17}i$ <-- Rewrite in $a\pm bi$ form

8 0

3 years ago

What property would you use to find an equivalent expression for 8 + ( 7 + 9)?

marissa [1.9K]

Answer:

Associative Property

Step-by-step explanation:

I would use the Associative Property because it states that you can add any numbers together no matter how they are separated or grouped (with parentheses).
Knowing what we said in step 1, here are some other ways you can write the expression given (they are written in the steps below)
8 + 7 + 9
(8 + 7) + 9
(8 + 9) + 7

I hope this helps!

4 0

3 years ago

Read 2 more answers