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3 years ago

Which step is incorrect and why

Mathematics

1 answer:

Svetach [21]3 years ago

5 0

Answer:

10x-6 = 4(1+2x) + 6

10x-6 = 4 + 8x + 6

10x - 8x = 4+6+6

2x = 16

x = 8

hope it will help you

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Patty has a checking account at a local bank. The monthly checking fee is $10, including any checks she writes. Nonbank ATM with

Thepotemich [5.8K]

Answer:

B) 868

Step-by-step explanation:

1. You add 700+300 which is 1000

2. You subtract the amount wasted or withdrawn which will get you 880

3. You subtract the fees which will then get you 868 as your answer

6 0

3 years ago

Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2

Finger [1]

Answer:

$\frac{y}{x^2}=\sin x+\pi$

Step-by-step explanation:

Consider linear differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$

It's solution is of form $y\,I.F=\int I.F\,q(x)\,dx$ where I.F is integrating factor given by $I.F=e^{\int p(x)\,dx}$ .

Given: $\frac{1}{x}\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x^2}=x\cos x$

We can write this equation as $\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x}=x^2\cos x$

On comparing this equation with $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$ , we get $p(x)=\frac{-2}{x}\,\,,\,\,q(x)=x^2\cos x$

I.F = $e^{\int p(x)\,dx}=e^{\int \frac{-2}{x}\,dx}=e^{-2\ln x}=e^{\ln x^{-2}}=\frac{1}{x^2}$ { formula used: $\ln a^b=b\ln a$ }

we get solution as follows:

$\frac{y}{x^2}=\int \frac{1}{x^2}x^2\cos x\,dx\\\frac{y}{x^2}=\int \cos x\,dx\\\\\frac{y}{x^2}=\sin x+C$

{ formula used: $\int \cos x\,dx=\sin x$ }

Applying condition: $y(\pi)=\pi^2$

$\frac{y}{x^2}=\sin x+C\\\frac{\pi^2}{\pi}=\sin\pi+C\\\pi=C$

So, we get solution as :

$\frac{y}{x^2}=\sin x+\pi$

4 0

4 years ago

Unit 2 Lesson 2:Surface Area

seropon [69]

Part 2) What is the surface area of this cube?
we know that
surface area of a cube=6*b²
where b is the length side of a cube
in this problem
b=15 mm
so
surface area of a cube=6*15²----> 1350 mm²

the answer Part 2) is 1350 mm²

Part 3) What is the surface area of this cube?
we know that
surface area of a cube=6*b²
where b is the length side of a cube
in this problem
b=11 cm
so
surface area of a cube=6*11²----> 726 cm²

the answer Part 3) is 726 cm²

part 4) What is the surface area of the rectangular prism represented by the net?

surface area=2*16*6+2*16*8+2*6*8----> 544 cm²

the answer Part 4) is 544 cm²

Part 5) What is the surface area of the wood block?
surface area=5*5+4*[5*8]/2----> 25+80----> 105 in²

the answer part 5) is 105 in²

6 0

3 years ago

A parabola can be drawn given a focus of ( 6 , − 5 ) (6,−5) and a directrix of y = 1 y=1. Write the equation of the parabola in

Pani-rosa [81]

Answer:

y = -(1/12)(x -6)² -2

Step-by-step explanation:

The vertex of the parabola is halfway between the focus and the directrix, so has y-coordinate (-5+1)/2 = -2. The difference in the y-coordinates between the focus and the vertex is ...

p = -5 -(-2) = -3

An equation of the parabola with vertex (h, k) and focus-vertex distance p can be written:

y = 1/(4p)(x -h)² +k

For (h, k) = (6, -2) and p = -3, the equation is ...

y = (-1/12)(x -6)² -2

4 0

3 years ago

Can someone help me plz :)

rewona [7]

Answer:

C. 10

Step-by-step explanation:

Supplementary means that they form a 90° angle.

5 0

4 years ago

Read 2 more answers