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anyanavicka [17]

3 years ago

9

When conducting the vertical line test, how many times should the vertical line intersect

1 answer:

sammy [17]3 years ago

5 0

The lines should never intersect

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The functions q and r are defined as follows.

UkoKoshka [18]

Q(3) = -2(3)+2 = -4
r(q(3)) = (-4)^2-1 = 15

3 0

3 years ago

Amount of Fuel. A car uses 20 gallons of gasoline for a trip of 500 miles. How many gallons would be used on a trip of 400 miles

jasenka [17]

Answer:

16 gallons

Step-by-step explanation:

divide

4 0

3 years ago

Given the domain (-4, 0,5), what is the range for the relation y = -2x +

mote1985 [20]

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$y =f(x) = - 2x + 4$

_________________________________

$f( - 4) = - 2( - 4) + 4$

$f( - 4) = 8 + 4$

$f( - 4) = 12$

_________________________________

$f(0) = - 2(0) + 4$

$f(0) = 0 + 4$

$f(0) = 4$

_________________________________

$f(5) = - 2(5) + 4$

$f(5) = - 10 + 4$

$f(5) = - 6$

_________________________________

Range = { 12 , 4 , -6 }

Thus the correct answer is (( A )) .

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4 0

3 years ago

Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y

Charra [1.4K]

I assume you mean $y_1=t^{-1}$ , and not $y_1=t-1$ , since this doesn't satisfy the ODE.

Assume a second solution of the form $y_2=vy_1$ , where $v$ is a function of $t$ . Then

${y_2}'=v'y_1+v{y_1}'$

${y_2}''=v''y_1+2v'{y_1}'+v{y_1}''$

Substituting into the ODE gives

$t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0$

$\implies tv''+v'=0$

$\implies(tv')'=0$

$\implies tv'=C$

$\implies v'=\dfrac Ct$

$\implies v=C_1\ln|t|+C_2$

$\implies y_2=\dfrac{\ln t}t$

where we omit the second term because it's already accounted for by $y_1$ .

3 0

3 years ago

Find the indicated real n th root (s) of a n =2 a=36

ASHA 777 [7]

Answer:

yean um its 13

Step-by-step explanation:

3 0

3 years ago