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Olegator [25]
3 years ago
8

Use substitution to solve the system of equations.

Mathematics
1 answer:
dusya [7]3 years ago
7 0

Answer:

A

Step-by-step explanation:

1/2(2/3y) - 1/3y = 5

1/3y - 1/3y = 5

0 ≠ 5

No Solutions

These are linear equations and, when graphed, are parallel

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The function "g" is defined as g(x)=5x+a, where "a" is a constant. If g(4)=31, what is the value of "a"?
babymother [125]
The a is 11

g(4)=20+a
g(4)=31
31-20=11
a=11
6 0
3 years ago
Determine whether f(x) = 5x+1/x and g(x)= x/ 5x+1 are inverse functions explain how you know. please explain in steps or worded
Len [333]

Hello from MrBillDoesMath!

Answer:

No


Discussion:

If the functions are inverses, then f(g(x)) = x  for appropriate x. Consider x = 1.

g(1) = 1/ (5(1) + 1) = 1/6

f(g(1)) = f (1/6) =  5(1/6) + 1/ (1/6) = 5/6 + 6 = 6 5/6   <> 1

Conclusion: f(g(1)) <> 1 so the functions are not inverses


Thank you,

MrB

7 0
3 years ago
Use the definition of the logarithmic function to find x. log4 0.25=x x=?
GREYUIT [131]
The answer is -1.

log_4(0.25)  =log_4( \frac{1}{4})= log_4(4^{-1} ) \\  \\ &#10;log(x^{a} ) = a*log(x) \\  \\ &#10;log_4(4^{-1} )= -1 *log_4(4) \\  \\ &#10;log_y(x) =  \frac{log(x)}{log(y)}  \\  \\ &#10;-1 *log_4(4) = -1* \frac{log(4)}{log(4)} = -1
5 0
3 years ago
The diagonals of quadrilateral EFGH intersect at D(?3,4). EFGH has vertices at E(3,7) and F(?4,5). What must be the coordinates
Katen [24]

Answer:

  G(3, 1), H(2, 3)

Step-by-step explanation:

When D is the midpoint of EG, it means ...

  D = (E + G)/2

or

  G = 2D -E = 2(3,4) -(3,7) = (2·3-3, 2·4-7) = (3, 1)

Likewise, H is ...

  H = 2D -F = 2(3,4) -(4,5) = (2·3-4, 2·4-5) = (2, 3)

5 0
3 years ago
Enlargement or reduction?
djyliett [7]

Answer:

Reduction

Step-by-step explanation:

so, the blue shape's letters  are E, F, G, H and I.

the green shape's letters are E', F', G', H', and I'.

the letters with the '  are the ones that are after the origianal.

:) hope i helped

4 0
3 years ago
Read 2 more answers
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