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2 years ago

Combine like terms to create an equivalent expression: 4z-(-3z)

2 answers:

3 0

The answer is: " 7z " .
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Note: " 4z - (-3z) = ? " ;

Note that "subtracting a negative" is the same thing as "adding a positive" ;

→ " 4z - (-3z) = 4z + 3z = 7z .
____________________________________________________
The answer is: " 7z " .
____________________________________________________

charle [14.2K]2 years ago

3 0

7z. 2 negs make a pos. But two wrongs do not make a right.

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Find the solution the each of the following first order linear differential equations:

Cerrena [4.2K]

Answer:

a. $y=\frac{2}{3}x^7+cx^4$

b. $y=2e^{7x}-ce^{5x}$

c. $y=e^{-2x}arctan(e^{2x})+ce^{-2x}$

d. $i=e^{-2t}\left(\frac{8\left(3e^{2t}\sin \left(3t\right)+2e^{2t}\cos \left(3t\right)\right)}{13}+C\right)$

Step-by-step explanation:

a) xy' -4y = 2 x^6

$xy'-4y=2x^6\\y'-\frac{4}{x}y=2x^5\\p(x)=\frac{-4}{x}\\Q(x)=2x^5\\\mu(x)=\int P(x)dx=\int \frac{-4}{x}dx=Ln|x|^{-4}\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=x^4 \int {x^{-4}2x^6}dx\\y=\frac{2}{3}x^7+cx^4$

b) y' - 5y = 4e^7x

$y'-5y=4e^{7x}\\p(x)=-5\\Q(x)=4e^{7x}\\\mu(x)=\int P(x)dx=\int-5dx=-5x\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=e^{5x}\int {e^{-5x}4e^{7x}}dx\\y=2e^{7x}-ce^{5x}$

c) dy/dx + 2y = 2/(1+e^4x)

$\frac{dy}{dx}+2y=\frac{2}{1+e^{4x}}\\p(x)=2\\Q(x)=\frac{2}{1+e^{4x}}\\\mu(x)=\int P(x)dx=\int 2dx=2x\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=e^{-2x}\int {e^{2x}\frac{2}{1+e^{4x}}}dx\\y=e^{-2x}arctan(e^{2x})+ce^{-2x}$

d) 1/2 di/dt + i = 4cos(3t)

$\frac{1}{2}\frac{di}{dt}+i=4cos(3t)\\\frac{di}{dt}+2i=8cos(3t)\\p(t)=2\\Q(t)=8cos(3t)\\\mu(t)=\int P(t)dt=\int 2dt=2t\\i=e^{-\mu(t)}\int {e^{\mu(t)}Q(t)dt}\\i=e^{-2t}\int {e^{2t}8cos(3t}dt\\i=e^{-2t}\left(\frac{8\left(3e^{2t}\sin \left(3t\right)+2e^{2t}\cos \left(3t\right)\right)}{13}+C\right)$

3 0

3 years ago

Find an equation of variation in which y varies directly as x and y = 60 when x = 0.4. Then find the value of y when x = 2

Nostrana [21]

Answer:

y = 300

Step-by-step explanation:

The equation of variation in which y varies directly as x is written Mathematically as:

y ∝ x

y = k × x

y = kx

Where k = Proportionality Constant

We find k

a) y = 60 when x = 0.4.

60 = 0.4 × k

k = 60/0.4

k = 150

b) find the value of y when x = 2

y = kx

k = 150

Hence,

y = 150 × 2

y = 300

7 0

2 years ago

A recipe that serves 8 people requires 4 1/2 cup of flour.

Naddika [18.5K]

Answer:

6 and 3/4

Step-by-step explanation:

4.5/8=.5625

.5625*12= 6.75 or 6 and 3/4

7 0

2 years ago

5(x+4)> 2x-7 solve the inequality

galina1969 [7]

Answer:

-9＞x

Step-by-step explanation:

5(x+4)＞2x-7

5x+20＞2x-7

+7 +7

5x+27＞2x

↓

5x+27＞2x

-5x -5x

27＞-3x

↓

27＞-3x

-3 -3

= -9＞x

3 0

3 years ago

List the elements in the set. 1) {x 1 x is an integer between -7 and -3}

omeli [17]

Answer:

सामाजिक अध्ययन र जिवनोपयोगी शिक्षाको महत्व दसांउनुहोस

8 0

1 year ago