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4 years ago

I will mark brainliest if you answer is accurate!

Mathematics

2 answers:

QveST [7]4 years ago

6 0

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ The correct answer choice would be B) 15 · 3 if the three is written as an exponent. If the 3 isn't an exponent, none of the choices will work.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

Svetllana [295]4 years ago

5 0

Answer:

the correct answer would be b.

Step-by-step explanation:

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What is 45.2 divided bye 100???

Setler79 [48]

.452
you can just move the decimal when you are dealing with 10 or 100

3 0

3 years ago

Read 2 more answers

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find

9966 [12]

Answer:

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

General solution of given differential equation

$y = y_{c} + y_{p}$

$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

Step-by-step explanation:

Step(i):-

Given Differential equation y'' − 5 y' + 4 y = x

Given equation in operator form

D²y - 5 Dy + 4 y = x

⇒ ( D² - 5 D + 4 ) y =x

⇒ f(D) y = Q

where f(D) = D² - 5 D + 4 and Q(x) = x

The auxiliary equation f(m) =0

m²-5 m + 4 =0

m² - 4 m - m + 4 =0

m ( m -4 ) -1 ( m-4) =0

(m - 1) =0 and ( m-4) =0

m = 1 and m =4

The complementary function

$Y_{c} = C_{1} e^{x} + C_{2} e^{4x}$

Step(ii):-

particular integral

Particular integral

$y_{p} = \frac{1}{f(D)} Q(x) = \frac{1}{D^{2} - 5 D + 4} X$

taking common '4'

$= \frac{1}{4(1 + (\frac{D^{2} - 5 D}{4} ))} X$

$=\frac{1}{4} (1 + (\frac{D^{2} -5D}{4})^{-1} )} X$

applying binomial expression

( 1 + x )⁻¹ = 1 - x + x² - x³ +.....

$=\frac{1}{4} (1 - (\frac{D^{2} -5D}{4}) +((\frac{D^{2} -5D}{4})^{2} -...} )X$

Now simplifying and we will use notation D = $\frac{dy}{dx}$

$=\frac{1}{4} (x - (\frac{D^{2} -5D}{4})x +((\frac{D^{2} -5D}{4})^{2}(x) -...}$

Higher degree terms are neglected

$=\frac{1}{4} (x - (\frac{ -5 D}{4}) x)$

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

Final answer:-

General solution of given differential equation

$y = y_{c} + y_{p}$

$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

4 0

3 years ago

Elena is making a grape drink. the recipe calls for 2 parts grape juice concentrate to 6 parts water. elena would like to make 8

SashulF [63]

Answer: 20 oz of juice concentrate and 60 oz of water.

Explanation:

Translate the word statements into algebraic expressions to set a system of equations that you can solve.

1) Name the variables:

j: parts of juice concentrate
w: parts of water

2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:

j / w = 2 / 6

3) Statement two, 80 oz of the drink, tanslates into an equality:

j + w = 80

4) Solve the system to find how many oz of juice concentrate and water Elena needs:

a) System:

j / w = 2 / 6

j + w = 80

b) Solve for w in the first equation: w = 6j / 2 = 3j

c) Substitute w in the second equation: j + 3j = 80

d) Combine like terms: 4j = 80

e) Use division property of equality: j = 20

f) Substitue in w = 3j: 3 = 3(20) = 60.

5) Solution: j = 20, w = 60.

6) Verify:

j / w = 20 / 60 = 2 / 6 ⇒ right
j + w = 20 + 60 = 80 ⇒ right

6 0

3 years ago

A city council organized a marathon race to promote good health. There were 3 times as many female participants as male particip

hichkok12 [17]

Answer:

609 males

Step-by-step explanation:

A city council organized a marathon race to promote good health.

Let the number of

Females = x

Males = y

There were 3 times as many female participants as male participants in the marathon.

3x = y

If the total number of participants was 812,

x + y = 812..... Equation 1

We substitute 3x for y in Equation 1

x + 3x = 812

4x = 812

x= 812/4

x = 203 females

3x = y

Solving for y

3(203) = 609 males

The number of males participants = 609

5 0

3 years ago

F(8)=x+2 solve for x

lorasvet [3.4K]

Answer:

f(x) = x + 2

f(8) = 8 + 2

f(8) = 10

3 0

3 years ago