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3 years ago

Instructions: Evaluate f(x) = 2x + 5 for the following and enter

Mathematics

1 answer:

melisa1 [442]3 years ago

6 0

F(-1)=-3
F(2)=-3/2
F(0)=-2.5
F(9)=2

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Section 5.2 Problem 17:

Elina [12.6K]

This DE has characteristic equation

$4r^2 - 12r + 9r = (2r - 3)^2 = 0$

with a repeated root at r = 3/2. Then the characteristic solution is

$y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}$

which has derivative

${y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}$

Use the given initial conditions to solve for the constants:

$y(0) = 3 \implies 3 = C_1$

$y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2$

and so the particular solution to the IVP is

$\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}$

8 0

2 years ago

Recently in the United States, there were about 300,000,000 cell phone users. That same year there were about 5.7x10^9 cell phon

Alla [95]

$\frac{users worldwide}{US users}$
$\frac{5700000000}{300000000}$
$19$

6 0

3 years ago

Read 2 more answers

X+3=15 what’s x because I keep on getting 18 and it says I’m wrong on Pearson

icang [17]

Answer:

x = 12

Step-by-step explanation:

Subtract 3 from both sides

p.s. it would be 18 if it was x-3 = 15

8 0

4 years ago

Read 2 more answers

"5 more than 3 times a number" translates to an equation is it true or false ?

lozanna [386]

Answer:

3n + 5

Step-by-step explanation:

what do u mean by is it true or false?

5 0

3 years ago

Rosa and Albert receive the same amount of allowance each week . The table shows what part of their allowance they each spent on

Anettt [7]

1/2 x > 0.4x

where Robert's spending is greater than Rosa's spending.

Allowance of Rosa = Allowance of Robert

let x = allowance

Rosa : video games = 0.4(x) ; pizza = 2/5 (x)
Robert : video games = 1/2 (x) ; pizza = 0.25 (x)

let us assume that their allowance is 100 each week. so, x = 100

Rosa : video games = 0.40(100) = 40
pizza 2/5 (100) = 200/5 = 40
total spending: 40 + 40 = 80

Robert : video games = 1/2 (100) = 50
pizza 0.25 (100) = 25
total spending: 50 + 25 = 75

Spending on video games
Rosa = 40
Robert = 50

Robert spent more of his allowance on video games than Rosa.

1/2 x > 0.4x

7 0

4 years ago