Whats the domain and range

Which function represents exponential decay

mamaluj [8]

The formula for exponential growth and decay is: In this function, a symbolizes the origin value, such as the starting population or the beginning dosage level. The variable b represents the growth or decay factor. If b > 1, the function signifies exponential growth.

4 0

4 years ago

Solve this thing pls <img src="https://tex.z-dn.net/?f=3%5Cleft%28q-7%5Cright%29%3D27" id="TexFormula1" title="3\left(q-7\ri

evablogger [386]

Answer:

Solution of equation ( q ) = 16

Step-by-step explanation:

In this question we have given an equation that is 3 ( q - 7 ) = 27 and we have asked to solve this equation that means to find the value of  q .

Solution : -

$\quad \: \longmapsto \: 3(q - 7) = 27$

Step 1 : Solving parenthesis :

$\quad \: \longmapsto \:3q - 21 = 27$

Step 2 : Adding 21 on both sides :

$\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21$

On further calculations we get :

$\quad \: \longmapsto \:3q = 48$

Step 3 : Dividing by 3 from both sides :

$\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }$

On further calculations we get :

$\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}$

Therefore, solution of equation ( q ) is 16 .

Verifying : -

Now we are very our answer by substituting value of q in the given equation . So ,

3 ( q - 7 ) = 27

3 ( 16 - 7 ) = 27

3 ( 9 ) = 27

27 = 27

L.H.S = R.H.S

Hence, Verified.

Therefore, our solution is correct .

<h2>#Keep Learning</h2>

3 0

3 years ago

Read 2 more answers

Simplify the following expression.

Jobisdone [24]

An expression is defined as a set of numbers, variables, and mathematical operations. The given exponential function when simplified will result in 4^(1/8). The correct option is A.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given exponential expression can be simplified as shown below.

$(4^{\frac14})^{\frac12}$

Using the exponential property (mᵇ)ˣ = mᵇˣ,

= $4^{\frac14 \times \frac12}$

= $4^{\frac18}$

Hence, the given exponential expression when simplified will result in 4^(1/8).

Learn more about Expression here:

brainly.com/question/13947055

#SPJ1

8 0

1 year ago

Read 2 more answers

Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions. Find 1/4 ÷ 3/8. ..................

Nataliya [291]

To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.

To find
$\frac{1}{4}\div\frac{3}8}$

Step 1:
Rewrite it as
$\frac{\frac{1}{4}}{\frac{3}{8}}$ .

Step 2:
Multiply the numerator and the denominator by the reciprocal of
$\frac{3}{8}$ .

 $\frac{\frac{1}{4}}{\frac{3}{8}}=\frac{\frac{1}{4}}{\frac{3}{8}}\times\frac{\frac{8}{3}}{\frac{8}{3}}$

Step 3:
Simplify the denominator
$\frac{\frac{1}{4}\times\frac{8}{3}}{1}$

Step 4:
Simplify the fraction
 $\frac{1}{4}\times\frac{8}{3}$ .

We complete the solution as follows:
 $\frac{1}{4}\times\frac{8}{3}=\frac{1\times8}{4\times3}\\ \\=\frac{8}{12}=\frac{4\times2}{4\times3}=\frac{2}{3}$

3 0

3 years ago

Help me plzzzzzzzzzzz

Drupady [299]

Answer:

D. 4

Step-by-step explanation:

The lines cross on the point (2.5,4), this is the only place on the graph where the lines share the same y-value.

7 0

3 years ago