All categories

3 years ago

In the problems below, f(x) = log₂x and

Mathematics

1 answer:

kramer3 years ago

3 0

Answer:

(1,0)

Step-by-step explanation:

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0)

You might be interested in

The perimeter of a rectangle is 24 inches. Find the dimension If the length of the rectangle is 3 inches more than it’s width.

GuDViN [60]

Answer:

length is 7.5 and width is 4.5

Step-by-step explanation:

Its given that perimeter of the triangle is 24 units.

The condition is that length is 3 units more than the width.

l=w+3;

Formula for perimeter is 2(l+w).

so ,

2(w+w+3)=24,

2w+3=12,

w=4.5,

l=w+3=7.5

Hence for the given conditions length is 7.5 and width is 4.5.

8 0

3 years ago

An airplane was cruising at 23,000 feet altitude. Due to turbulence it dropped 4,300 feet.Once the air currents leveled off he w

vladimir1956 [14]

Answer:

-700 feet, aka 700 feet below/away from the original cruising altitude

4 0

3 years ago

What is the x intercept of the equation that passes through (1,-6) and is perpendicular to y=1/3x +1

fomenos

$\bf y=\stackrel{slope}{\cfrac{1}{3}}x+1\impliedby \textit{slope of this line, so a perpendicular will be}
\\\\\\
\textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{1}{3}\\\\
negative\implies -\cfrac{1}{ 3}\qquad reciprocal\implies - \cfrac{ 3}{1}\implies -3\\\\
-------------------------------\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~1 &,& -6~)
\end{array}$

$\bf slope = m\implies -3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-6)=-3(x-1)
\\\\\\
y+6=-3x+3\implies 0+6=-3x+3\implies 3=-3x\implies \cfrac{3}{-3}=x
\\\\\\
-1=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad (~-1~,~0~)$

8 0

3 years ago

Can someone plz help me with this one problem plzzzzz!!!<br><br> (I’M MARKING BRAINLIEST)!

liraira [26]

Answer:

1:5

5:9

7:11

9:13

I think this is right in not sure though

8 0

3 years ago

Read 2 more answers

Monica paid sales tax of $1.60 when she bought a new bike helmet. If the sales tax rate was 8%, how much did the store charge fo

Lapatulllka [165]

To find the total from the percent part you have, you divide the part by the percentage.
1.50÷0.05=30
The total is $30
The total the store charged, including sales tax, is $31.50.

5 0

3 years ago