Solve the equation. 12x+3=51

which equation represents an exponential function that passes through the point (2, 80)? f(x) = 4(x)5 f(x) = 5(x)4 f(x) = 4(5)x

pav-90 [236]

we know that

if the exponential function passes through the given point, then the point must satisfy the equation of the exponential function

we proceed to verify each case if the point $(2,80)$ satisfied the exponential function

case A $f(x)=4(x^{5})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

so

$f(2)=4(2^{5})=128$

$128\neq 80$

therefore

the exponential function $f(x)=4(x^{5})$ not passes through the point $(2,80)$

case B $f(x)=5(x^{4})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

so

$f(2)=5(2^{4})=80$

$80=80$

therefore

the exponential function $f(x)=5(x^{4})$ passes through the point $(2,80)$

case C $f(x)=4(5^{x})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

so

$f(2)=4(5^{2})=100$

$100\neq 80$

therefore

the exponential function $f(x)=4(5^{x})$ not passes through the point $(2,80)$

case D $f(x)=5(4^{x})$

For $x=2$ calculate the value of y in the equation and then compare with the y-coordinate of the point

so

$f(2)=5(4^{2})=80$

$80=80$

therefore

the exponential function $f(x)=5(4^{x})$ passes through the point $(2,80)$

therefore

the answer is

$f(x)=5(x^{4})$

$f(x)=5(4^{x})$

7 0

2 years ago

Use a number line to add 3 + (–5).

Sonja [21]

Answer:

3 plus -5 means you go backwards from +3 to -2 thats your answer

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

The pH of lemon juice at 298 K is found to be 2. 32. What is the concentration of mc014-1. Jpg ions in the solution? Use StartBr

sdas [7]

The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

<h3>What is pH value?</h3>

The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.

The pH value can be calculated with the following formula.

$\rm pH=log[H^{+}]$

Here, [H⁺] is the molar hydrogen ion concentration.

The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,

$\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M$

Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

Learn more about the pH value here;

brainly.com/question/940314

8 0

1 year ago

Any face that is not a base

Ann [662]

Answer:

In Mathematics Geometry, lateral face is said be the side of a 3D-figure in that is not a base.

Please check the attached figure to visual the concept.

Step-by-step explanation:

In Mathematics Geometry, lateral face is said be the side of a 3D-figure in that is not a base.

The faces in in a prism or pyramid which are not bases are basically the lateral faces.

For example, the lateral faces are basically parallelograms in Triangular prism which are not the bases.

Please check the attached figure to visual the concept.

7 0

2 years ago

A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function

Sloan [31]

D I'M POSITIVE ITS D

3 0

2 years ago

Read 2 more answers