4 years ago

Given 8^2 – 3 + 4, what is the sum of the coefficients?

1 answer:

5 0

Answer: The sum of the coefficients would be 65.

Step-by-step explanation: First simplify 8². That comes out to be 64. Now subtract 3 from 64 to get 61. Now add 4 to get 65. So 65 is your answer.

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A linear function h(x) is represented by the equation 4x - 2y = 4 . What is the y-intercept of the function? Write the solution

irina [24]

4x-2y = 4

= -2y = 4-4x

= y = (4x + 4)/ 2

y = 2x - 2

h(x) = 2x-2

To find y-intercept, find h(0)

= 2(0) - 2 => -2

Y-intercept = (0,-2)

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3 years ago

Solve the system of equations -2x-3y=12 and 3x+2y=7 by combining the equations

zloy xaker [14]

Answer:

x = 9

y = -10

Step-by-step explanation:

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3 years ago

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olga55 [171]

Answer:

Step-by-step explanation:

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3 years ago

Section 5.2 Problem 6: Find the general solution <img src="https://tex.z-dn.net/?f=y%27%27%20%2B%206y%27%20%2B%2010y%2

mihalych1998 [28]

Answer:

$y=e^{-3t}(A\: cos\: t+B\:sin\:t)$

Step-by-step explanation:

Given Second-Order Homogenous Differential Equation

$y''+6y'+10y=0$

Use Auxiliary Equation

$m^2+6m+10=0\\\\(m+3)^2+1=0\\\\(m+3)^2=-1\\\\m+3=\pm i\\\\m=-3\pm i$

General Solution

$y=e^{pt}(A\: cos\: qt+B\:sin\:qt)\\\\y=e^{-3t}(A\: cos\: t+B\:sin\:t)$

Note that the DE has two distinct complex solutions $p\pm qi$ where $A$ and $B$ are arbitrary constants.

4 0

2 years ago

Sheena wants to measure the volume of a ball that is 24 cm across. How should she set up her probleme

Dmitry [639]

Volume of a sphere is 4/3 πr³

Volume of a ball = 3/4 π (24 ÷ 2)³
Volume of a ball = 3/4 π (12)³
Volume of a ball = 7238.23 cm³

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Answer: Volume of the ball = 7238.23 cm³
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6 0

3 years ago