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Natalka [10]
3 years ago
13

I need help with 4 and 5

Mathematics
2 answers:
zmey [24]3 years ago
8 0
4.  where you have any repeated x values this is not a function  
Answer is  b

5. a has rate of change = -3,  so has c,
b has rate of change (7-5)/(-1-(-2) =  2
d has rate of change  (10-6)/(6-2) = 1
madreJ [45]3 years ago
6 0
4. Look at each set of points. If all x-coordinates are different, it is a function. If the same number shows up more than once as an x-coordinate, it is not a function.
Here are the x-coordinates for each choice:
a. 0, 1, 2, 3 All are different. This is a function.
b. 0, 0, 2, 2 There are two zeros and two twos. Not a function.
c. 0, 1, 2, 3 All are different. This is a function.
d. 0, -1, -2, -3 All are different. This is a function.

5. The rate of change is the slope.
a. slope is -3
b. slope = (9 - 7)/(0 - (-1)) = 2
c. 3y + 9x = 10
3y = -9x + 10
y = -3x + 10/3
slope = -3
d. slope = (14 - 10)/(10 - 6) = 4/4 = 1

The greatest slope is 2 in option b.
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The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

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The equation represented on machine B is:

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Katyanochek1 [597]

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Option b is correct (8,13).

Step-by-step explanation:

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it can be represented in matrix form as\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]

A= \left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]

X= \left[\begin{array}{c}x\\y\end{array}\right]

B= \left[\begin{array}{c}4\\2\end{array}\right]

i.e, AX=B

or X= A⁻¹ B

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so, |A| = -2

Adj A=  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]

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A⁻¹ =  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]

X= A⁻¹ B

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x= 8, y= 13

solution set= (8,13).

Option b is correct.

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