3 years ago

The black line is the graph of y= x. Which of these

Mathematics

2 answers:

____ [38]3 years ago

7 0

Y=1/2x is the answer

marta [7]3 years ago

4 0

Y= 1/2x would be the answer.

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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

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

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

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

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

$x=2+-2\sqrt{3i}$ ..................(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

3 years ago

NEED HELP M<1 Use the given information

kondor19780726 [428]

The line should equal 180 degrees, so we would subtract 122 from 180 to get 58 degrees. Since the triangle is equilateral, each angle is the same measure, so I believe m<1 should be 58 degrees.

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3 years ago

In a study by the Texas A & M University, found there were 23,000 prairie dogs in Texas in 2000. By 2010, the number has inc

Dima020 [189]

let x=k

D=dog

T=Taxes

I=increase P=population

solve k

d=23,000

t=2000

d=2.3e^

divide both sides by 2

after year is,2000+k2-2.3

=1.999.7

k2- 23,000=

k-x

k2-2

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3 years ago

A contractor bought 10.8 ft squared of sheet metal. has used 2.1 ft squared so far and has $139.20 worth of sheet metal remaini

Anuta_ua [19.1K]

Answer:

7.1

Step-by-step explanation:

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Factor the expression using the GCF. 14x−98

pashok25 [27]

Answer: 14(x−7)

Hope this helps :)

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