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3 years ago

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I need help ASAP ! Please

1 answer:

Ymorist [56]3 years ago

7 0

Answer:

Step-by-step explanation: I hope you understand this better

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In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!

g100num [7]

the real solutions for the equation $x^{3}=-64$ are -

$x=4,2+-2\sqrt{3i}$

Step-by-step explanation:

$x^{3}$ = $- 64$

$x^{3} +64$ = 0

We can write 64 as $4^{3}$

$x^{3}$ + $4^{3}$ = 0

using the identity ( $x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} )$ )

we get,

= $(x+4) (x^{2} -x*4+4^{2} )$

= $(x+4)(x^{2} -4x+16)$ ....................(1)

solving the quadratic equation ,

$x^{2} -4x+16$ =0

solutions of this quadratic equation can be obtained by

$x=-b +- \sqrt{b^{2}-4ac } /2a$

let use y for factors

$x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16} / 2*x^{2}$

$x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}$

$x=4+-\sqrt{16-64}/2$

$x=4+-4\sqrt{3i} /2$

<u /> $x=2+-2\sqrt{3i}$ ..................(2)

from the equation 1 we have,

$x-4=0$

which gives solution $x=4$

and from equation 2 we got $x=2+-2\sqrt{3i}$

so the real solutions for the equation $x^{3}=-64$ are -

$x=4,2+-2\sqrt{3i}$

3 0

2 years ago

What is the value of f(-3)

Readme [11.4K]

$f(x)=\left\{\begin{array}{ccc}-2&if&x < -3\\4x&if&-3\leq x\leq-1\\x^2&if&x > -1\end{array}\right\\\\-3\leq-3\leq-1\to f(x)=4x\\\\f(-3)=4(-3)=-12$

8 0

3 years ago

If B(-5,8) is rotated about the origin by 180°, what are the new x and y coordinates for B'?

gladu [14]

Answer: B' (5, -8)

Step-by-step explanation:

Rotating 180 around the origin rule:

(x,y)--> (-x-y)

B (-5,8) B' (5, -8)

8 0

3 years ago

Please solve this question asap

disa [49]

Step-by-step explanation:

$y = \sqrt{4x + 6}$

${y}^{2} = 4x + 6$

${y}^{2} - 6 = 4x$

$\frac{1}{4} ( {y}^{2} - 6) = x$

Swap x and y

$\frac{ {x}^{2} - 6 }{4} = y$

3 0

2 years ago

A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. To study the

Burka [1]

To study the what ?

8 0

3 years ago

Read 2 more answers