All categories

1 year ago

Determine whether f is an exponential function of x. if so, find the constant ratio

SAT

1 answer:

ANEK [815]1 year ago

4 0

The constant ratio of the function f is its growth rate

The function f is an exponential function with a constant ratio of 2

<h3>How to determine if the function is an exponential function?</h3>

To do this, we simply divide the consecutive function values

From the complete question (see attachment for the table), we have:

f(-1) = 1/4

f(0) = 1/2

f(1) = 1

f(2) = 2

Divide the function values to get the ratio, r

r = f(2)/f(1) = f(1)/f(0) = f(0)/f(-1)

This gives

r = 2/1 = 1 / 1/2 = 1/2 / 1/4

Evaluate the quotients

r = 2 = 2 = 2

The value of r is the same for the three quotients.

Hence, the function f is an exponential function with a constant ratio of 2

Read more about exponential functions at:

brainly.com/question/11464095

You might be interested in

The surface tension of water in air is approximately 0.00518 lbf/ft. if the atmospheric pressure is 14.7psia, what is the pressu

strojnjashka [21]

Based on the calculations, the pressure inside this droplet is equal to 2,909.35 kPa.

<u>Given the following data:</u>

Surface tension = 0.00518 lbf/ft to N/m = 0.00702 N/m.

Atmospheric pressure = 14.7psia to kPa = 101.35 kPa.

Diameter = 0.01 mm to m = 0.00001 m.

Radius, r = $\frac{diamter}{2} =\frac{0.0001}{2}$ = 0.000005 m.

<h3>How to determine the pressure inside a droplet.</h3>

For a droplet with only one surface, its pressure is given by this formula:

$P_1-P_2=\frac{2 \tau}{r} \\\\P_1=\frac{2 \tau}{r}+P_2$

Substituting the given parameters into the formula, we have;

$P_1=\frac{2 \times 0.00702}{0.000005} + 101.35\\\\P_1=2808+ 101.35$

Inside pressure = 2,909.35 kPa.

Read more on pressure here: brainly.com/question/24827501

8 0

1 year ago

A 900-kg car traveling east at 15. 0 m/s suddenly collides with a 750-kg car traveling north at 20. 0 m/s. The cars stick togeth

dexar [7]

By conservation of momentum,

(900 kg) (15.0 m/s) i + (750 kg) (20.0 m/s) j = (900 kg + 750 kg) v

where v is the velocity vector of the combined cars. Solve for v :

(13,500 i + 15,000 j) kg•m/s = (1650 kg) v

v ≈ (8.18 i + 9.09 j) m/s

Then the direction of v relative to East is θ such that

tan(θ) ≈ 9.09/8.18 ⇒ θ ≈ 48.0°

so the wreckages would move at approximately 48.0° north of east.

4 0

2 years ago

Suppose that prolog facts are used to define the predicates mother(m, y) and father(f, x), which represent that m is the mother

erastova [34]

Prolog languages are logics that are used when creating programs that require artificial intelligence.

The prolog rule to define the predicate grandfather(x, y) is grandfather(X,Y) :- mother(M,Y), father(X,M); father(F,Y), father(X,F)

<h3>How to determine the prolog rule</h3>

From the question, we have the following definitions:

mother(m, y): m is the mother of y
father(f, x): f is the father of x

For x to be the grandfather of y, then either of the following definitions must be true

m is the mother of y, and x is the father of m
f is the father of y, and x is the father of f

Using the above highlights, the prolog rule would be

grandfather(X,Y) :-

mother(M,Y), father(X,M);

father(F,Y), father(X,F)