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4 years ago

You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you have 5 friends

Mathematics

1 answer:

Makovka662 [10]4 years ago

4 0

Answer:

ill split them all into halves, so at least half of everyone can come along

Step-by-step explanation:

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What is the slope of the line?

loris [4]

5/5 using rise over run

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3 years ago

Which is an example of a variable amount?

dolphi86 [110]

$5 per Hour because the number keeps changing 5 dollars the first hour 10 the next... 15, 20... the number keeps climbing.

5 0

4 years ago

Two problems here I need solved! I need every step, so please have that with your answers!!

Free_Kalibri [48]

QUESTION 1

We want to solve,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}$

We factor the denominator of the fraction on the right hand side to get,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.$

This implies
$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.$

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}$

We multiply through by LCM of
$(x-4)(x - 2)$

$(x - 2) + x(x-4) = 2$

We expand to get,

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

We group like terms and equate everything to zero,

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

We split the middle term,

${x}^{2} + - 3x - 4 = 0$

We factor to get,

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

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

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

$x + 1 = 0 \: or \: x - 4 = 0$

$x = - 1 \: or \: x = 4$

But
$x = 4$
is not in the domain of the given equation.

It is an extraneous solution.

$\therefore \: x = - 1$
is the only solution.

QUESTION 2

$\sqrt{x+11} -x=-1$

We add x to both sides,

$\sqrt{x+11} =x-1$

We square both sides,

$x + 11 = (x - 1)^{2}$

We expand to get,

$x + 11 = {x}^{2} - 2x + 1$

This implies,

${x}^{2} - 3x - 10 = 0$

We solve this quadratic equation by factorization,

${x}^{2} - 5x + 2x - 10 = 0$

$x(x - 5) + 2(x - 5) = 0$

$(x + 2)(x - 5) = 0$

$x + 2 = 0 \: or \: x - 5 = 0$

$x = - 2 \: or \: x = 5$

But
$x = - 2$
is an extraneous solution

$\therefore \: x = 5$

7 0

4 years ago

You research the cost of a gallon of gasoline over several years to look for a trend. The table shows your data. The line of bes

Blizzard [7]

Plotting the data to get the line of best fit, it is:
y<span> = 0.087</span>x<span> + 0.587

substitute x=2030-1980=50,
y = $4.94 is the price in 2030</span>

3 0

3 years ago

8 +2/3 (6x + 30) = 80

amid [387]

Answer:

X=13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0

3 years ago