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3 years ago

What is the answer to this? 6[5•(41-36)-8+14)]

Mathematics

2 answers:

denpristay [2]3 years ago

8 0

1. 41-36= 5
6[5·(5-8+14)]
2. 5-8=-3+14=11
6[5·11]
3. 5·11=55
6·55
4. 6·55=
330

gayaneshka [121]3 years ago

5 0

Using PEMDAS you can figure out which part of the problem to do first.
PEMDAS=Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction
Since parentheses are first, you do 41-36=5
6[5*(41-36)-8+14)]
6[5*5-8+14)]
Next, you do the multiplication inside the parentheses. 5*5=25
6[5*5-8+14)]
6[25-8+14)]
Then you do the remaining subtraction and addition in the problem.
25-8+14
25-8=17
17+14=31
And you get 6[31)]
So you do 6 times 31 which is 186

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What expression is equivalent to -5(x)+(-4)(-3)

azamat

Answer:-25+-12

Step-by-step explanation:so I made x value as 5 so I multiplied -5x5 and it's -25 then I multiplied -4x-7 and that's -12 so the equivalent expression for my way is -25+-12

6 0

3 years ago

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

Evaluate the expression when c=-6. c? +6c+5

artcher [175]

Answer: -31

Step-by-step explanation: 1.) Plug in -6 for c

2.) equation will then be: 6(-6)+5

3.) use PEMDAS: multiply first then addition

4.) 6(-6) equals -36

5.) add -36+5 which equal -31

Therefore your answer should be -31

8 0

3 years ago

Read 2 more answers

What is the slope of the graph of y= -5/3x + 3/4

Lesechka [4]

Answer:

slope = - $\frac{5}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{5}{3}$ x + $\frac{3}{4}$ ← is in slope- intercept form

with slope m = - $\frac{5}{3}$

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3 years ago

If a classroom has 7 students with black hair and there are 24 students in the

telo118 [61]

Answer:

29.2%

Step-by-step explanation:

The fraction of students with black hair is 7/24. To convert that to a percentage, multiply by 100%.

7/24×100% = 29.1666(repeating)% ≈ 29.2%

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4 years ago