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3 years ago

In the equation, 3x + 5 < 18, what is the first step in order of operations?

Mathematics

1 answer:

adell [148]3 years ago

4 0

Answer:

Subtract 5 from both sides would be the first step for solving

Step-by-step explanation:

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This week Aaron got a promotion at work that came with a 3 % pay increase. If now his monthly salary is $ 2163 , how much was he

NNADVOKAT [17]

Answer:

12.75

Step-by-step explanation:

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3 years ago

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Plzzz help i need help quick the right answer gets a thanks, 5 stars, and a Brainly!

alexgriva [62]

Answer:

The absoloute value is 2

Step-by-step explanation:

absoloute value is the places away from 0. -2 is 2 spots away from 0.

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3 years ago

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Jane will receive 18% less of her regular pay when she retires. her regular pay is $500 per week.

kirza4 [7]

$0.82 \times 500 =410$

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3 years ago

1. (a) Solve the differential equation (x + 1)Dy/dx= xy, = given that y = 2 when x = 0. (b) Find the area between the two curves

erastova [34]

(a) The differential equation is separable, so we separate the variables and integrate:

$(x+1)\dfrac{dy}{dx} = xy \implies \dfrac{dy}y = \dfrac x{x+1} \, dx = \left(1-\dfrac1{x+1}\right) \, dx$

$\displaystyle \frac{dy}y = \int \left(1-\frac1{x+1}\right) \, dx$

$\ln|y| = x - \ln|x+1| + C$

When x = 0, we have y = 2, so we solve for the constant C :

$\ln|2| = 0 - \ln|0 + 1| + C \implies C = \ln(2)$

Then the particular solution to the DE is

$\ln|y| = x - \ln|x+1| + \ln(2)$

We can go on to solve explicitly for y in terms of x :

$e^{\ln|y|} = e^{x - \ln|x+1| + \ln(2)} \implies \boxed{y = \dfrac{2e^x}{x+1}}$

(b) The curves y = x² and y = 2x - x² intersect for

$x^2 = 2x - x^2 \implies 2x^2 - 2x = 2x (x - 1) = 0 \implies x = 0 \text{ or } x = 1$

and the bounded region is the set

$\left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^2 \le y \le 2x - x^2\right\}$

The area of this region is

$\displaystyle \int_0^1 ((2x-x^2)-x^2) \, dx = 2 \int_0^1 (x-x^2) \, dx = 2 \left(\frac{x^2}2 - \frac{x^3}3\right)\bigg|_0^1 = 2\left(\frac12 - \frac13\right) = \boxed{\frac13}$

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2 years ago

Questions on the images

KiRa [710]

Answer: A

Step-by-step explanation:

12 x 12 = 144

39 x 39 = 1521

1521 - 144 = 1377

root 1377 = 37.1

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3 years ago

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