All categories

3 years ago

Which equation is represented by the graph below

Mathematics

1 answer:

valina [46]3 years ago

3 0

Answer:

C). y = ln x + 4

Step-by-step explanation:

First off, we can cancel out the $e^{x}$ graphs.

Now looking at the graph, one can see that when x = 1, y = 4.

So for each $ln$ function, plug in 1 for x.

In doing this, one will find that y = ln x + 4 is the only $ln$ graph that produces 4 when x = 1.

You might be interested in

Find RS. Can anyone help?

balu736 [363]

The segment XT splits the trapezoid exactly in half. The average of RS and Q will give us XT because of the properties of a trapezoid.

We find the area of a trapezoid by averaging the bases as well.

RS + Q / 2 = XT

RS + 26 / 2 = 22

RS + 26 = 44

RS = 18

Hope this helps!

3 0

3 years ago

Find the solution to the initial value problem that is a non-zero polynomial function in x. <img src="https://tex.z-dn.net/?f=xy

ohaa [14]

Bernoulli type.

$xy'-15y=(4x^2-3x+7_y^{4/5}$
$xy^{-4/5}y'-15y^{1/5}=4x^2-3x+7$

Let $z=y^{1/5}$ so that $z'=\dfrac15y^{-4/5}$ . Then the ODE becomes linear in $z$ with

$5xz'-15z=4x^2-3x+7$
$z'-\dfrac3xz=\dfrac45x-\dfrac35+\dfrac7{5x}$
$\dfrac1{x^3}z'-\dfrac3{x^4}z=\frac4{5x^2}-\dfrac3{5x^3}+\dfrac7{5x^4}$
$\left(\dfrac1{x^3}z\right)'=\frac4{5x^2}-\dfrac3{5x^3}+\dfrac7{5x^4}$
$\dfrac1{x^3}z=-\dfrac4{5x}+\dfrac3{10x^2}-\dfrac7{15x^3}+C$
$z=Cx^3-\dfrac45x^2+\dfrac3{10}x-\dfrac7{15}$

$y^{1/5}=Cx^3-\dfrac45x^2+\dfrac3{10}x-\dfrac7{15}$
$y=\left(Cx^3-\dfrac45x^2+\dfrac3{10}x-\dfrac7{15}\right)^5$

Given that $y(1)=0$ , we have

$0=\left(C-\dfrac45+\dfrac3{10}-\dfrac7{15}\right)^5$
$\implies C=\dfrac{29}{30}$

and so the particular solution is

$y=\left(\dfrac{29}{30}x^3-\dfrac45x^2+\dfrac3{10}x-\dfrac7{15}\right)^5$

Feel free to expand the solution to get it in the standard polynomial form.

8 0

3 years ago

Help me please!!!!!!!!

Romashka [77]

A and D is the answers

8 0

3 years ago

Miguel has one dollar in change. He has twice as many nickels as dimes. He has 14 more pennies than quarters. What coins does he

marin [14]

D=dimes
n=niclkes
p=pennies
q=quarters

1 dollar (100 cents)
2 times as many nickles as dimes
n=2d

14 more pennies than quarters
p+14=q

and total is 1 dollar so
25q+10d+5n+p=100
ok so we must use logic
the max number of quarters in a dolar is 4
but there are pennies so max is 3
so q=1,2, or 3
therefor p=15,16 or, 17

also, the rest of te coins are only multipules of 5 so the sum amount of pennies and quartes must add to a multiplule of 5

if q=1 and p=15, total is 40 cents
if q=2 and p=16, total is 66 cents
if q=3 and p=17, total is 92 cents
only 40 cents is a multiplule of 10

1 quarter and 15 pennies
now we are having
40 cents is pennies and quartesrs
therfor 100-40=60 cents is nickles and dimes
60=5n+10d
n=2d
sub
60=5(2d)+10d
60=10d+10d
60=20d
divide both sides by 20
3=d
sub
n=2d
n=2(3)
n=6

6 nickles
3 dimes

answer is
1 quarter
3 dimes
6 nickles
15 pennies

4 0

3 years ago

A paper clip weighs about 10−3 kilograms. A draft horse weighs about 103 kilograms. How many orders of magnitude as heavy is a d

dedylja [7]

38387474848484848484

8 0

3 years ago