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3 years ago

Simplify the expression: 10+10v–10+10v

Mathematics

2 answers:

docker41 [41]3 years ago

8 0

answer

20 v. hope helpful answer. 10+10v-10+10 =20

Stella [2.4K]3 years ago

3 0

Answer:

20v

Step-by-step explanation:

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Find the solution set (x,y,z) of the system: 3x-2y+4z=6 2y-3z=20 6z=12

gizmo_the_mogwai [7]

Answer:

The solution is x = 8, y = 13 and z = 2.

Step-by-step explanation:

We are given a system of equations with the variables x, y, and z from which we have to solve for x, y, and z.

The equations are

3x - 2y + 4z = 6 ........ (1)

2y - 3z = 20 .......... (2)

6z = 12 ......... (3)

Now, from equation (3), we get z = 2.

Now, putting z = 2 in equation (2) we get

2y = 20 + 6 = 26

⇒ y = 13

Now, from equation (1), putting y = 13 and z = 2, we get

3x = 6 - (4 × 2) + (2 × 13) = 24

⇒ x = 8

So the solution is x = 8, y = 13 and z = 2. (Answer)

4 0

3 years ago

Sin (3x) dx = ? find the integral

AVprozaik [17]

Answer:

$\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C$

General Formulas and Concepts:

Calculus

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int{sin(x)} \, dx = -cos(x) + C$

U-Substitution

Step-by-step explanation:

Step 1: Define

$\displaystyle \int {sin(3x)} \, dx$

Step 2: Identify Substitution Variables

u = 3x

du = 3dx

Step 3: Integrate

[Integral] Rewrite: $\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx$
[Integral] U-Substitution: $\displaystyle \frac{1}{3}\int {sin(u)} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{3}[-cos(u)] + C$
[Expression] Multiply: $\displaystyle \frac{-cos(u)}{3} + C$
[Expression] Back-Substitute: $\displaystyle \frac{-cos(3x)}{3} + C$

8 0

3 years ago

Differentiate Vx(x + 2) with respect to x.

Travka [436]

Answer:

$y'= \frac{3x+2}{2\sqrt{x} }$

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

$y=\sqrt{x} (x+2)$

Step 2: Rewrite

$y=x^{\frac{1}{2} } (x+2)$

Step 3: Differentiate

Product Rule [Basic Power/Chain Rule]: $y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)$
Simplify: $y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}$
Rewrite: $y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}$
Add: $y'= \frac{3x+2}{2\sqrt{x} }$

7 0

3 years ago

Solve -2/3x > 8 or -2/3x < 4.

dezoksy [38]

Answer:

B) {x| x<-12 or x>-6}

Step-by-step explanation:

-2/3x>8

change -2/3 as -3/2 and multiply both sides by -3/2x

-2/3x•(-2/3)x<-3/2•8

calculate

reduce

x<-3•4

multiply numbers

-----------

x<-12

-----------

now we're done with the first equation, let's do the other equation to find the answer!

-2/3x<4

multiply both sides by -3/2 and again change -2/3 by -3/2

-3/2•(-2/3)x>-3/2•4

calculate

reduce

x>-3•2

multiply numbers

----------

x>-6

----------

6 0

4 years ago

Two corresponding sides of two similar pentagons are 14 cm and 21cm

ivolga24 [154]

The ratio is 4/9.

Area = n (s/2)^2 / tan(π /n)

8 0

4 years ago