Mathematics, 05.08.2019 00:00 daniel1480

Consider the function y=f(x)=3^x the values of f(1/2) and of (1/4), rounded to the nearest hundredth, are and respectively.

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Answer from: jermiahj55

3^1/2 = 1.73
3^1/4 = 1.32

Answer from: queenb1416

The values of f(1/2) and of (1/4), rounded to the nearest hundredth, are 1.73 and 1.32, respectively.

Step-by-step explanation:

The given function is

f(x)=3^x

Substitute $x=\frac{1}{2}$ in the given function to find the value of $f(\frac{1}{2})$ .

$f(\frac{1}{2})=3^{\frac{1}{2}}$

$f(\frac{1}{2})=1.732$

$f(\frac{1}{2})\approx 1.73$

Therefore the values of f(1/2) is 1.73.

Substitute $x=\frac{1}{4}$ in the given function to find the value of $f(\frac{1}{4})$ .

$f(\frac{1}{4})=3^{\frac{1}{4}}$

$f(\frac{1}{4})=1.316$

$f(\frac{1}{4})\approx 1.32$

Therefore the values of f(1/4) is 1.32.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

Which are the possible side lengths of a triangle?

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Consider the function y=f(x)=3^x the values of f(1/2) and of (1/4), rounded to the nearest hundredth...

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