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2 years ago

So if I have a table how can I make the table a function and not a function ?

Mathematics

1 answer:

kompoz [17]2 years ago

6 0

To make a table a function, make sure the x's don't repeat but the y's do. To make it not a function, repeat the x's.

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It is known that x1 and x2 are roots of the equation <img src="https://tex.z-dn.net/?f=6x%5E%7B2%7D%20%2B7x%2Bk%3D0" id="TexForm

Oliga [24]

Answer:

$k=-5$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$6x^{2} +7x+k=0$

$a=6\\b=7\\c=k$

substitute in the formula

$x=\frac{-7\pm\sqrt{7^{2}-4(6)(k)}} {2(6)}\\\\x=\frac{-7\pm\sqrt{49-24k}} {12}$

$x_1=\frac{-7+\sqrt{49-24k}} {12}\\\\x_2=\frac{-7-\sqrt{49-24k}} {12}$

Remember that

$2x_1+3x_2=-4$

substitute

$2(\frac{-7+\sqrt{49-24k}} {12})+3(\frac{-7-\sqrt{49-24k}} {12})=-4\\\\(\frac{-14+2\sqrt{49-24k}} {12})+(\frac{-21-3\sqrt{49-24k}} {12})=-4$

Multiply by 12 both sides

$(-14+2\sqrt{49-24k})+(-21-3\sqrt{49-24k})=-48\\\\-35-\sqrt{49-24k}=-48\\\\\sqrt{49-24k}=48-35\\\\\sqrt{49-24k}=13$

squared both sides

$49-24k=169\\24k=49-169\\24k=-120\\k=-5$

therefore

The equation is

$6x^{2} +7x-5=0$

The roots are

$x=\frac{-7\pm\sqrt{49-24(-5)}} {12}\\\\x=\frac{-7\pm\sqrt{169}} {12}\\\\x=\frac{-7\pm13} {12}\\\\x_1=\frac{-7+13} {12}=\frac{1} {2}\\\\x_2=\frac{-7-13} {12}=-\frac{5} {3}$

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2 years ago

after arianna completed some work, she figured she still had 78 21/100 pictures to paint. if she completed another 34 23/25 pict

icang [17]

She still had to complete 43 29/100 pictures

6 0

3 years ago

What number line shows the solution of -5x + 10 > -15

andrezito [222]

Answer:

-65 will be the answer I think it will helpful to you

Step-by-step explanation:

I think this is answer

8 0

2 years ago

A boat's crew rowed 13.5 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covere

Llana [10]

V - the crew rowing rate,
u - rate of the current.
Downstream: v + u = 13.5/1.5 = 9 mph
Upstream : v - u = 13.5/4.5 = 3 mph
u = 9 - v
v - ( 9 - v ) = 3
v - 9 + v = 3
2 v = 12
v = 6 mph, u = 9 - 6 = 3 mph
Answer: the crew`s rowing rate is 6 mph and the rate of the current is 3 mph.

6 0

3 years ago

Can someone help me solve this?

statuscvo [17]

Answer:

p + q = (-2) --------(1)

p - q = 8 ----------(2)

on simplifying both equati

8 + q = (-2)-q

q + q = (-2) -8

2q = (-10)

q = (-10)/2

q = (-5)

putting the value of q = (-5) in the equation

p + (-5) = (-2)

p = (-2)+5

p = 3

hence, p = 3 , q = (-5)

8 0

3 years ago

Read 2 more answers