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4 years ago

How do i factorise this question? x²+x-30

Mathematics

1 answer:

Nookie1986 [14]4 years ago

7 0

X^2 + X -30
(X+6) (X-5) = 0
X=-6 , X= +5

for example, +6 X -5 = -30

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Sergio [31]

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2 years ago

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3 years ago

Find the real numbers x and y. 27+yi= 11-x + 4i

Korvikt [17]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:x = -16$

$\qquad \tt \rightarrow \: y =4$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: 27 + yi = 11 - x + 4i$

$\qquad \tt \rightarrow \: yi + x = 11 + 4i - 27$

$\qquad \tt \rightarrow \: x + yi = - 16 + 4i$

By equating both equations we get :

$\qquad \tt \rightarrow \: x = - 16$

$\qquad \tt \rightarrow \: y = 4$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

8 0

2 years ago

Use the Fundamental Theorem of Line Integrals to calculate ∫c F⃗ ⋅dr⃗ exactly, if F⃗ =3x2/3i⃗ +ey/5j⃗ , and C is the quarter of

nignag [31]

It looks like the vector field is

F(x, y) = 3x ^(2/3) i + e ^(y/5) j

Find a scalar function f such that grad f = F :

∂f/∂x = 3x ^(2/3) => f(x, y) = 9/5 x ^(5/3) + g(y)

=> ∂f/∂y = e ^(y/5) = dg/dy => g(y) = 5e ^(y/5) + K

=> f(x, y) = 9/5 x ^(5/3) + 5e ^(y/5) + K

(where K is an arbitrary constant)

By the fundamental theorem, the integral of F over the given path is

∫c F • dr = f (0, 1) - f (1, 0) = 5e ^(1/5) - 34/5

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4 years ago

The sum of a number times 9 and 16 is at least -26.

NARA [144]

Answer:

Step-by-step explanation:

let x be the number.

9x+16≥-26

9x≥-26-16

9x≥-42

3x≥-14

x≥-14/3

5 0

2 years ago