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1 year ago

MATH

Mathematics

2 answers:

Kryger [21]1 year ago

8 0

Answer:

f(-4)=-2, f(4)=-4, f(0)=-4

Step-by-step explanation:

-4 is less than -3, so you would input it for that equation, your answer would be -2.

4 is greater than 1, so you would input it for that equation, your answer would be -4

0 is between -3 and 1, so you would input it for that equation, your answer would be -4

olchik [2.2K]1 year ago

5 0

Answer:

f(-4) = -2

Step-by-step explanation:

To find f(-4) use the "piece" of the function rule defined for x < -3 (because -4 is less than -3). That part of the rule says the output (range) value is x + 2, so f(-4) = -4 + 2 = -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

Kianna and three friends went out to dinner together. The total bill was $58.49. If they each agreed to pay an equal share of th

jonny [76]

Answer: $15.00 per person.
______________________________
Explanation:
______________________________
Given that there are "4 people" (that is, "Kianna and three friends");
____________________________________________________
and a total of "$58.49" ; to be divided equally among 4 (four) people;
______________________________
we are asked to estimate the amount that EACH person will pay.
______________________________
For an ESTIMATE, $58.49 is ABOUT $60.00; or "60 dollars". ;

and (60 dollars) / 4 = 15 dollars {$15; or $15.00}.

60/4 = 15; or 60/4 = (60÷2)/(4÷2) = 30/2 = 15.
________________________________________________

3 0

3 years ago

Can someone please explain how to solve this. p^-4 x -5p

solong [7]

P^-4 x -5p

In properties of exponents, if the exponent is negative then you move the variable with the negative exponent to the denominators place and it changes to positive and the numerator becomes 1.

p^-4=1/(p^4)

Also, if no exponent is present it is understood to be 1.

Keeping this in mind,
p^-4 x -5p
1/(p^4) x -5p^1 substituted p^-4 by 1/p^4 and added ^1 to -5p
-5p^1/p^4 multiplied-5p^1 to 1
-5/p^3 simplified

6 0

3 years ago

_11] If the radius of a circle is 5, what is the circumference?

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

A circle with a radius of 5 units has a circumference of 31.416 units.

8 0

2 years ago

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nikklg [1K]

Answer:

1st and 3rd

Step-by-step explanation:

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3 0

2 years ago