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Mathematics

1 answer:

bogdanovich [222]3 years ago

8 0

E1,1 F5,3 G5,7 H1,6 bc when rotating 90 a,b becomes -b,a

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Find the median of the data set 3/8 3/4 9/16 7/12

dimulka [17.4K]

Answer:

7.5

Step-by-step explanation:

To find the median you must align all the numbers least to greatest so the order goes like this. 3,3,4,7,8,9,12,16. Then you must find the number in the middle. since there is not a number in the middle you add 7 and 8 together and then divide by 2 which is 7.5

3 0

3 years ago

Read 2 more answers

Solving Systems of Equations by Substitution y=1/2x+5 y=-3/2x-7

DerKrebs [107]

$\left\{\begin{array}{ccc}y=\frac{1}{2}x+5\\y=-\frac{3}{2}x-7\end{array}\right\\\\subtitute:\\\\\frac{1}{2}x+5=-\frac{3}{2}x-7\ \ \ \ |subtract\ 5\ from\ both\ sides\\\\\frac{1}{2}x=-\frac{3}{2}x-12\ \ \ \ |add\ \frac{3}{2}x\ to\ both\ sides\\\\\frac{4}{2}x=-12\\\\2x=-12\ \ \ \ |divide\ both\ sides\ by\ 2\\\boxed{x=-6}\\\\subtitute\ value\ of\ "x"\ to\ first\ equation:\\\\y=\frac{1}{2}\cdot(-6)+5=-3+5=\boxed2\\\\Answer:\boxed{\boxed{x=-6\ and\ y=2}}$

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3 years ago

I just need help with three, four, and seven. Solve the system of linear equations, and determine if the equation has one soluti

likoan [24]

3. If $y=5x+9$ and $y=3x-2$ , then

$5x+9=3x-2\implies2x+9=-2\implies2x=-11\implies x=-\dfrac{11}2$

Then

$y=5\left(-\dfrac{11}2\right)+9=-\dfrac{55}2+9=-\dfrac{37}2$

(only one solution)

4. If $y+2=4x$ , then $y=4x-2$ . So we're told that $4x-5=4x-2$ but this is impossible, because that would that for any $x$ , we have -5 = -2. This is false, so this system has no solution.

7. "y is 6 less than 3 times x" means $y=3x-6$ . "x is 2 more than one-third of y" means $x=\dfrac13y+2$ . Solving the second equation for $y$ gives $y=3x-2$ , which would mean $3x-6=3x-2$ . But for the same reason as in (4), there is no solution. For any value of $x$ , this equation gives the false conclusion that -6 = -2.