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3 years ago

Please solve this will mark brainliest and follow -Thanks

Mathematics

1 answer:

Artemon [7]3 years ago

6 0

It is false because -53 does not equal -32.
First you have to add 42 to -95 then you have to subtract 57 from 25.

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1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If the

Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the only solution to the equation

$\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I$

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

$f(x)=e^{3x}+\cos(5x),$

$g(x)=e^{3x}-\cos(5x),$

$h(x)=\cos(5x).$

Then, letting α = 1, β= -1 and ω = -2, we see that:

$\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.$

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

8 0

3 years ago

What is the equation of the exponential graph shown?

Evgesh-ka [11]

Answer:

f(x) = 100*(1/2)ˣ

Step-by-step explanation:

Exponential function is:

f(x) = a*bˣ

Use two points on the graph to determine the value of a and b:

(0, 100), (1, 50)

Find the values of a and b:

f(0) = a*b⁰ = a = 100
f(1) = a*b¹ = ab = 100b = 50 ⇒ b = 50/100 = 1/2

The function is:

f(x) = 100*(1/2)ˣ

7 0

2 years ago

A rectangular window has a length of 81.47 cm and a width of 34.2 cm. What is the least precise measurement of the perimeter of

Pie

The least precise measurement of the perimeter of the window is 231.30

Step-by-step explanation:

The least price measurement mean a value with the least number of significant figures.calculate the perimeter in this case as;

Perimeter of a rectangle = 2(l+w) where l is the length and w is the width

Perimeter= 2(81.47 + 34.2)

Perimeter=2(115.67)

Perimeter=231.34

Perimeter=231.30(4 significant figures)

Learn More

Significant figures : brainly.com/question/11566364

Keywords : Perimeter, Least precise measurement

#LearnwithBrainly

7 0

3 years ago

Find the midpoint of the line segment joining the points (−2,−1) and (−8,4).

Temka [501]

Answer:

(-5, 1.5)

Step-by-step explanation:

(-2 ,-1) ; (-8 , 4)

Midpoint = $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\$

$=(\frac{-2-8}{2}, \frac{-1+4}{2})\\\\=(\frac{-10}{2},\frac{3}{2})\\\\=(-5 , 1.5)$

8 0

3 years ago

If m<4=100,find m<2 I'm trying to find the answer

Nookie1986 [14]

If m<4=100 m<2=50

if <4 = 100 < 2 is going to be half

5 0

3 years ago