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3 years ago

What is the solution to the following equation? x^2-3x-10=0

Mathematics

2 answers:

LiRa [457]3 years ago

7 0

Answer:

A= x=5 or x=-2

Step-by-step explanation:

x^2-3x-10=0

Factor

What 2 numbers multiply together to give you -10 and add together to give you -3

-5*2 = -10

-5+2 = -3

(x-5) (x+2) =0

Using the zero product property

x-5 =0 x+2 =0

x-5+5=0+5 x+2-2=0-2

x=5 x=-2

Kitty [74]3 years ago

3 0

x^2 - 3x -10 = 0

Find two numbers when added together = -3 and when multiplied = -10

-5 + 2 = -3

-5 * 2 = -10

Now write the factored form of the equation:(x-5) (x+2) = 0

Solve for each x so that the equation = 0:

5 -5 = 0

-2 + 2 = 0

So X = -2 or 5

The answer is A.

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Pls help I'll mark brainliest and it's 20 points, very important!

mafiozo [28]

Answer:

The solution h < 5.5 means that Melanie can rent the bike for no more than 5.5 hours.

<u>Hope this helps :)</u>

<u>Explanation and Check part below.</u>

Step-by-step explanation:

1. Isolate the variable by doing the inverse operation which is in this case subtracting 6 on bothsides of the equation.

8h + 6 < 50

- 6 - 6

8h < 44

2. Dive both sides of the equation by 8.

8h < 44

--- ----- <--------- fraction bar, divide

8 8

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4 0

11 months ago

G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

3 years ago

Cans of tuna cost $3.00 for 6 ½ ounces. At that rate, how much would 104 ounces of tuna cost?

algol13

Answer:

$48.00

Step-by-step explanation:

$3.00 / 6.5 oz = [unknown $] / 104 oz

unknown $ = 104 oz * $3.00 / 6.5 oz

unknown $ = 16 * $3.00 ((oz/oz cancels out))

unknown $ = $48.00

8 0

2 years ago

Read 2 more answers

A plane flying a straight course observes a mountain at a bearing of 30.3degrees to the right of its course. At that time the pl

Svetllana [295]

Answer:

12km or 12 kilometers

Step-by-step explanation:

We are given the following values:

For the first bearing we have:

30.3 degrees at a distance of 9 kilometers

We are asked to find the second distance of the second bearing at 40.3 degrees

Therefore, we have:

30.3 degrees = 9km

40.3 degrees = ?? Unknown( we designate this as y)

We crossmultiply

30.3 degrees × y = 9km × 40.3 degrees

Divide the both sides by 30.3 degrees

y = (9km × 40.3 degrees) ÷ 30.3 degrees

y = 362.7/30.3 degrees

y = 11.97029703 km

Approximately to the nearest tenth of a km

y = 12km.

Therefore, the distance of the plane from the mountain when the second bearing is taken (to the nearest tenth of a km) is 12km.

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3 years ago

Solve -37 + n = -56 for n. -93 -19 19 93

Nutka1998 [239]

Answer:

Step-by-step explanation:

$-37+n=-56\qquad\text{add 37 to both sides}\\\\-37+37+n=-56+37\\\\n=-19$

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3 years ago

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