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2 years ago

The graph of the logarithmic function f(x) = loga(x) passes through the points and . The graph lies the y-axis.

2 answers:

8 0

The question is incomplete. But this explanation will help you very much.

1) Regarding the function      $log_ax$    , its graph always passes through the points (1,0) and (a,1).

That is due to the properties of logarithm function:

a)    $log_a1=0$

b)    $log_aa=1$
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That in turn is due to the properties of the exponential functions.

a^0 = 1 and a^1 = a
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2) Regarding the y-axis.

The function $log_ax$ will never touch the y-axis, because the logaritm of zero is not defined. So the graph lies to the righ of the y-axis (i.e. the domain of the function is x > 0)

lesya692 [45]2 years ago

3 0

Answer:

(1, 0)

Step-by-step explanation:

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A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x

vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

$A=LW$

we have

$L=18\ m\\W=12\ m$

substitute

$A=18(12)=216\ m^2$

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

$L=(18+2x)\ m\\W=(12+2x)\ m$

substitute

$A=(18+2x)(12+2x)$

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

$A=(18+2x)(12+2x)-216$

step 4

Find the value of x if the area of the walkway equal the area of the pool

$(18+2x)(12+2x)-216=216$

Solve for x

$(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0$

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

8 0

2 years ago

The parabola y=x^2y=x 2 y, equals, x, start superscript, 2, end superscript is reflected across the xxx-axis and then scaled ver

kramer

ANSWER

The equation of the new parabola is

$y = - 5 {x}^{2}$

EXPLANATION

The given parabola has equation:

$y = {x}^{2}$

If this parabola is reflected in the x-axis, its equation becomes :

$y = - {x}^{2}$

When this parabola is scaled vertically by a factor of 5, the equation becomes,

$y = - 5 {x}^{2}$

5 0

2 years ago

Each gallon of paint covers $200$ square feet. I have to paint one side of a wall that is $12$ meters tall and $80$ meters long.

dsp73

Answer:

make those cheeks go in circuler motion

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A square OABC with the length of a side 6 cm and circle k(O) with a radius 5 cm are given. Which of the lines OA , AB , BC , or

Pavel [41]

Answer:

AC and OA

Step-by-step explanation:

-A secant is a line connecting two points on the circle.

-Given the square OABC of sides 6cm and a circle of r=5cm and the center of the circle as O, and that the radius of the circle is less than the side of the square:

-The circle passes through OA and OC, but doesn't pass through AB and BC.

Hence, AC and OA are the circle's secants.

5 0

2 years ago

starting on the positive x axis and moving 1/3 of the way around the circle in 3 m radius, ow far will it go?

nlexa [21]

You will move 1/3 of the circumference of the circle with a radius of 3m.

C=2πr so C/3 is:

d=2πr/3, we are told that the radius is 3m so:

d=2π3/3

d=2π m

d≈6.28 m (to nearest hundredth of a meter)

7 0

2 years ago