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steposvetlana [31]

3 years ago

12

Solve by factoring 9x^4-16=0

1 answer:

Morgarella [4.7K]3 years ago

7 0

X1=1.04195,x2=1.04195

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Multiple Choice<br> 1. Find the value of x in the figure.<br> 40°<br> 50°<br> 140°<br> 180°

kotegsom [21]

Believe it’s 140 degrees

8 0

3 years ago

Read 2 more answers

Give. b(x) = |x + 4| what is b(-10)

lesantik [10]

Answer:

6

Step-by-step explanation:

b(x) = |x + 4|

b(-10) = |-10 + 4|

-10 + 4 = -6

|-6| = 6

b(-10) = 6

6 0

4 years ago

Read 2 more answers

A scientist uses a submarine to study ocean life.

klasskru [66]

Answer:

$278.2 \: ft$

Step-by-step explanation:

Descended feet:

$94 \: s \times 3.3 \: \frac{ft}{s} \: = 310.2 \: ft$

Ascended feet:

$32 \: s \times 1 \: \frac{ft}{s} = 32 \: ft$

Total elevation:

$(310.2 - 32) \: ft = 278.2 \: ft$

8 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

Please help!! I don’t get it

Marrrta [24]

Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting $x$ represent the number of hot dogs and $y$ the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

$6x + 4y = 14.10$

The Farley family bought 3 hot dogs and 4 juices for $9.15.

$3x + 4y = 9.15$

Now, we subtract these equations.

$6x + 4y = 14.10\\- (3x + 4y = 9.15)$

Since $y$ has reversed coefficients, it gets eliminated. Now solve for x.

$6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}$

$\frac{4.95}{3} = 1.65$

$x = 1.65$

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

$6x + 4y = 14.10$

$6(1.65) + 4y = 14.10$

$9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2$

$\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05$

$x$ = 1.65

$y$ = 1.05

$x$ represents hotdogs and $y$ represents juice drinks.

Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.

<em> I hope this helps! :)</em>

6 0

3 years ago