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4 years ago

6

Solve x2−7x=0 by factoring.

2 answers:

LiRa [457]4 years ago

7 0

X^2 - 7x = 0
Factoring:-
x(x - 7) = 0
x = 0' x - 7 = 0 so x = 7

Solution is 0, 7.

irina [24]4 years ago

5 0

First just break it down,
set the value of x to 0 for the equation.
So already x=0.
x(7+x)=0
-7+x=0
-7+7=0
Your answer is
x=0
x=7

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1) The graph labeled and the ordered pairs plotted are shown in the second picture.

2) To calculate the amount of meat (in pounds) needed for a party of 75 people:

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<h3> The missing graph is attached.</h3>

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1) You can observe in the graph shown in the first picture this point:

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So you can subsitute the coordinates of this point into $y=kx$ and solve for "k":

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<u>For 20 people</u>

Substituting $k=\frac{2}{5}$ and $x=20$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(20)=8$

The ordered pair is:

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Substituting $k=\frac{2}{5}$ and $x=30$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(30)=12$

The ordered pair is:

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<u>For 40 people</u>

Substituting $k=\frac{2}{5}$ and $x=40$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(40)=16$

The ordered pair is:

$(40,16)$

<u>For 50 people</u>

Substituting $k=\frac{2}{5}$ and $x=50$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(50)=20$

The ordered pair is:

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Knowing those values of "y"and having the ordered pairs, you can finish labeling the graph an plotting the ordered pairs (See the second picture.).

2) Substituting $k=\frac{2}{5}$ and $x=75$ into the equation $y=kx$ and evaluating, you can calculate the amount of meat (in pounds) needed for a party of 75 people. This is:

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