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3 years ago

Use the values given in the table and the functions to determine the missing values. Help please

Mathematics

1 answer:

loris [4]3 years ago

3 0

Answer:

A = 1/4

B = 1

C = 4

Step-by-step explanation:

The function is g(x) = 4^((1/2)*x)

For A, the value is -2. Plug this into the equation.

g(-2) = 4^((1/2)*-2)

g(-2) = 4^(-1)

g(-2) = 1/4

For B, the value is 0. Plug it into the equaiton.

g(0) = 4^((1/2)*0)

g(0) = 4^(0)

g(0) = 1

For C, the value is 2. Plug it into the equation.

g(2) = 4^((1/2)*2)

g(2) = 4^1

g(2) = 4

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Checking number 2( Solving inequalities)

lilavasa [31]

1. x < 20

x - 7 < 13

x < 20

2. x > -7

-3(x + 4) < 9

-3x - 12 < 9

-3x < 21

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Hope this helps!

7 0

2 years ago

Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

6 0

3 years ago

PLEASE HELP ME IM BEGGING YOU <br><br> WILL GIVE BRAINLIEST!!!

Inessa [10]

Kvk yes didjendjdidiejdjd

8 0

3 years ago

What is true about anglemsr? it must be acute. it must be a right angle. it must be equal to anglemrh. it must be equal to angle

NARA [144]

From the given diagram <msr is a right angle (equal to 90 degrees) and <mrh is acute since it is less than 90degrees.

<h3>Properties ofa rhombus</h3>

The given diagram is a rhombus that has the following properties

Opposite side are equal
All the sides are congruent
The opposite angles are equal
The sum of the adjacent angles are supplementary

From the figure shown, we can see that;

<msr is a right angle (equal to 90 degrees)

<mrh is acute since it is less than 90degrees.

Learn more on rhombus here: brainly.com/question/88523

#SPJ1

7 0

2 years ago

Please help me!!!!!!!

iris [78.8K]

Answer:

7 lenth

Step-by-step explanation:

4 0

3 years ago