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2 years ago

I need help with this

Mathematics

1 answer:

djverab [1.8K]2 years ago

8 0

B is the rational number since 0 is a rational number and A can't be the rational number because it goes on forever.
The attachment shows work for A and B

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Which system of equations can you use to find the roots of the equation 2x3 + 4x2 – x + 5 = –3x2 + 4x + 9? y = 2x3 + x2 + 3x +5

Alona [7]

Answer:The answer is y = 2x3 + 4x2 – x + 5 and y = –3x2 + 4x + 9

Roots are both: x=-4, x= -1/2 , x= 1

Proof:

Solve for x over the real numbers:

2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9

Subtract -3 x^2 + 4 x + 9 from both sides:

2 x^3 + 7 x^2 - 5 x - 4 = 0

The left hand side factors into a product with three terms:

(x - 1) (x + 4) (2 x + 1) = 0

Split into three equations:

x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0

Add 1 to both sides:

x = 1 or x + 4 = 0 or 2 x + 1 = 0

Subtract 4 from both sides:

x = 1 or x = -4 or 2 x + 1 = 0

Subtract 1 from both sides:

x = 1 or x = -4 or 2 x = -1

Divide both sides by 2:

Answer: x = 1 or x = -4 or x = -1/2

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers

It is 4.7 km from Lighthouse A to Port B. The bearing of the port from the lighthouse is N73°E. A ship has sailed due west from

Gennadij [26K]

Answer:

correct option is C. 3.7 km

Step-by-step explanation:

given data

A to Port B = 4.7 km

lighthouse = N73°E

lighthouse = N31°E

solution

we get here first $\angle$ B and

here

$\angle$ A = 90 - 73 = 17°

$\angle$ B = 73 - 31 = 42°

and

sum of all angle 180° so

$\angle$ A +

17° + 42° + $\angle$ C = 180°

solve it we get

$\angle$ C = 121°

Now we use here sin law that is

$\frac{b}{sinB} = \frac{c}{sinC}$ ........................2

put here value and we get

$\frac{b}{sin42} = \frac{4.7}{sin121}$

solve it we get

b = 3,7 km

so correct option is C. 3.7 km

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2 years ago

Vince weighs 160 pounds and his friend nadir weighs 140 nadir calculated that his weight on another planet would be about 56lb a

chubhunter [2.5K]

Vince would weigh 64 pounds

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2 years ago

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EF is located at E (x,y) and F (7,-10) and was rotated around the origin. EF became E’F’ with coordinates E’ (4,5) and For (10,7

monitta

Answer:

90° CCW

Step-by-step explanation:

If we assume you intend F'(10, 7), point F has been transformed by the rule ...

(x, y) ⇒ (-y, x)

The transformation rule (x, y) ⇒ (-y, x) represents a 90° CCW rotation.

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2 years ago

Un globo busca aterrizar en medio de dos ciudades A y B, cuya distancia entre si es de 200 km. Si se mide el ángulo de elevación

scoundrel [369]

Answer:

$h \approx 59.898\,km$

Step-by-step explanation:

El diagrama trigonométrico que representa el enunciado es incluido abajo como adjunto. Las siguientes relaciones trigonométricas describen la localización del globo. (The trigonometric diagram representing the statement is included below as attachment. The following trigonometric relations describes the location of the balloon):

$\tan 27^{\circ} = \frac{h}{x}$