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alekssr [168]
3 years ago
9

How do graph linear equations?

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0

Here is one method.

For each equation, first, let x = 0 and solve for y. that gives you one ordered pair. Plot that point. Then let y = = and solve for x. That gives you another ordered pair. Plot that point. Then draw a line that goes through those two points. Once you do this for both equations, if the lines intersect, the point of intersection is the solution.

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Answer:

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Step-by-step explanation:

graph the equation and find the y-intercept

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Simplify the expression
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<h3>              f(x) = x - 6</h3><h3>             g(x) = x - 5</h3>

Step-by-step explanation:

\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5

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The reason why the trails must be in quadrant 2 or 3 is because the coordinates start with a negative number. Quadrant 2= (-,+) and quadrant 3= (-,-)
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The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consume
AfilCa [17]

Answer:

Yes. The male and female consumers differ in the amounts they spend.

Step-by-step explanation:

We can express the null and alternative hypothesis as:

H_0: \mu_m=\mu_w\\\\H_1:  \mu_m\neq\mu_w

It is assumed a significance level of 0.05.

The standard deviation of the difference of means is calculated as:

s=\sqrt{\frac{s_m^2}{n_m} +\frac{s_w^2}{n_w} } =\sqrt{\frac{35^2}{40} +\frac{20^2}{30} } =\sqrt{30.625+13.333} =\sqrt{43.958} =6.63

The test statistic is

t=\frac{(M_m-M_w)-0}{s}=\frac{135.67-68.64}{6.63}=10.11

The degrees of freedom are:

df=n_1+n_2-2=40+30-2=68

The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.

We can conclude that male and female consumers differ in the amounts they spend.

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4 years ago
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