3 years ago

What is this equation factored49x²-1

Mathematics

1 answer:

Natali [406]3 years ago

5 0

The answer should be (7x+1)(7x-1)

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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

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

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2 years ago

1) In the market for apartment housing, the quantity of available apartments is observed to be less than the number of renters w

jeka94

Answer:

Hey

Step-by-step explanation:

Hey did you find the answers to this? i really need it. im desperate!

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2 years ago

A bakery has 2,160 loaves of whole-wheat bread in July. In all, the bakery SOLD 9000 loaves THIS MONTH. What percent of the loav

Bumek [7]

24% because you would make a ratio like x/100= 2,160/9000. So basically the x is the percentage you need, 100 is just an easy factorable percent, and 2,160 is the wheat bread and 9000 is all the bread. Basically what you do with this ratio is you cross multiply. This means you multiply 2,160 by 100 and divide by 9000 and that’s your percent

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3 years ago

The slope of a line is represented by the variable<br>ОХ<br>Оy<br>m<br>b.

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The answer for this question is b

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3 years ago

Read 2 more answers

What is the value of the expression 8-(2to the 3rd Power+48)divided by 8

dalvyx [7]

8-(8+48) = -48 then divide that by 8 and you get -6 as your result

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