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svlad2 [7]
3 years ago
7

What is the solution of log(t-3)=log(17-4t)?

Mathematics
2 answers:
Studentka2010 [4]3 years ago
7 0
A.) 4 
Just took the test!! 
solmaris [256]3 years ago
6 0
Log=13
t=4
So, this is because they already given you t because the four is on front of it that gives you your value. From there you will proceed to j7st do the math in your parentheses. You should get log=(1) & log=(13) because 1 times anything is that number just use the inverse of each would be eachother. So, 1x13 is the same as 13x1
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Suppose you invest a certain amount of money in account that earns 3% annual interest. You also invest that same amount + $2000
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Quadrilateral RSTU has vertices R(-6, -3), S(3, 3), and T(4, -1). What are the coordinates of vertex U if
Natasha_Volkova [10]

9514 1404 393

Answer:

  c)  (-5, -7)

Step-by-step explanation:

In a parallelogram, the midpoints of the diagonals are the same point. This means ...

  (R+T)/2 = (S+U)/2

  R +T -S = U

  (-6 +4 -3, -3 -1 -3) = U = (-5, -7)

7 0
3 years ago
Please help.<br> Is algebra.
Dvinal [7]

Answers:

  • Blank 1:  4
  • Blank 2:  -1

So the solution is (x,y) = (4, -1)

=============================================================

Work Shown:

6x + 7y = 17

6x + 7( y ) = 17

6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11

6x - 21x + 77 = 17

-15x = 17-77

-15x = -60

x = -60/(-15)

x = 4

We'll use this x value to find y

y = -3x+11

y = -3(4)+11 ... replace x with 4

y = -12+11

y = -1

We have  x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)

------------------------

To check the solution, we plug x = 4 and y = -1 into each equation

Plugging the values into the first equation leads to...

y = -3x+11

-1 = -3(4)+11

-1 = -1

This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.

We'll need to verify the second equation as well.

6x + 7y = 17

6(4) + 7(-1) = 17

24 - 7 = 17

17 = 17

We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.

3 0
3 years ago
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