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Masteriza [31]
3 years ago
11

HELP HELP ASAP THANKS

Mathematics
1 answer:
mylen [45]3 years ago
8 0

Answer:

Step-by-step explanation:

the range is written as (min y value, max y value)

the domain is written as (min x value, max x value)

question 6

the min y value on the picture is -3, while the arrows point upward, so the max is infinity, so the domain is [-3,∞), with a bracket on -3 because -3 is included

[-3,∞)

question 7

the min x value is the leftmost point, which is at x = -3, while the max is the rightmost point at x = 3, and both are included in the domain so there should be brackets on both

[-3,3]

question 8

the arrow on the left points to the left and up infinitely, so the min is -∞, the arrow on the right points to the right and up infinitely, so the max x value is ∞

(-∞,∞)

question 9

the min value is the bottommost point at y = -2, and the arrow points upward infinitely so the max y value is ∞

[-2,∞)

question 10

the arrow on the left points to the left infinitely so the min x value is -∞, the arrow on the right points to the right infinitely so the max x value is ∞

(-∞,∞)

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Manny bought a brand new car for $29,750. The car depreciates in value by 12% each year. Find the value of the car after 6 years
Arte-miy333 [17]

Answer: $13,846.02

Step-by-step explanation:

The car cost $29,750 when it was first bought.

It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.

To find the value of the car in the 6th year, you can use the compound interest formula:

= Value of car * ( 1 - rate) ^ no. of years

= 29,750 * ( 1 - 12%)⁶

= ‭13,816.021581824‬

= $13,846.02

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3 years ago
Every year, roughly 25,000,000 kg of hair is cut in the United States. Each kilogram of hair contains about 0.0002 kg of zinc, a
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$20,000

25,000,000 x 0.0002 = 5,000

5,000 x $4.00= $20,000

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3 years ago
Explain the difference between 1/2 and 1/2%
Gnoma [55]

But the correct usage is that 1:2 means a ratio of 1 to 2, meaning 1 part of something and 2 parts of something else (not out of 2 parts total) ...

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2 years ago
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Two solutions to y'' – 2y' – 35y = 0 are yı = e, Y2 = e -5t a) Find the Wronskian. W = 0 Preview b) Find the solution satisfying
pashok25 [27]

Answer:

a.w(t)=-12e^{2t}

b.y(t)=-\frac{9}{2}e^{7t}-\frac{5}{2}e^{-5t}

Step-by-step explanation:

We have a differential equation

y''-2 y'-35 y=0

Auxillary equation

(D^2-2D-35)=0

By factorization method we are  finding the solution

D^2-7D+5D-35=0

(D-7)(D+5)=0

Substitute each factor equal to zero

D-7=0  and D+5=0

D=7  and D=-5

Therefore ,

General solution is

y(x)=C_1e^{7t}+C_2e^{-5t}

Let y_1=e^{7t} \;and \;y_2=e^{-5t}

We have to find Wronskian

w(t)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}

Substitute values then we get

w(t)=\begin{vmatrix}e^{7t}&e^{-5t}\\7e^{7t}&-5e^{-5t}\end{vmatrix}

w(t)=-5e^{7t}\cdot e^{-5t}-7e^{7t}\cdot e^{-5t}=-5e^{7t-5t}-7e^[7t-5t}

w(t)=-5e^{2t}-7e^{2t}=-12e^{2t}

a.w(t)=-12e^{2t}

We are given that y(0)=-7 and y'(0)=23

Substitute the value in general solution the we get

y(0)=C_1+C_2

C_1+C_2=-7....(equation I)

y'(t)=7C_1e^{7t}-5C_2e^{-5t}

y'(0)=7C_1-5C_2

7C_1-5C_2=23......(equation II)

Equation I is multiply by 5 then we subtract equation II from equation I

Using elimination method we eliminateC_1

Then we get C_2=-\frac{5}{2}

Substitute the value of C_2 in  I equation then we get

C_1-\frac{5}{2}=-7

C_1=-7+\frac{5}{2}=\frac{-14+5}{2}=-\frac{9}{2}

Hence, the general solution is

b.y(t)=-\frac{9}{2}e^{7t}-\frac{5}{2}e^{-5t}

7 0
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Find the least number which must be subtracted from 3255 so as to get a perfect square. PLS ANSWER I NEED IT PLS................
Alenkinab [10]

Answer:

Step-by-step explanation:

to make 3255 a perfect square subtract 6 from 3255

3255 - 6 = 3249

3249 is a perfect square

Download pdf
7 0
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