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damaskus [11]
3 years ago
15

The variables y and x have a proportional relationship, and y = 5 when x = 4.

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0

If the variables y and x have a proportional relationship, we have

xy=k

Since (x,y)=(4,5) is a valid pair, we know that

xy=20

So, if y = 8, we have

8x=20 \iff x=\dfrac{20}{8}=\dfrac{5}{2}

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Find the lower bound for the following lengths:
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Answer:

a) Lower bound = 39.5

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Given matrices S and T below, which statement is true?
harina [27]
The matrices are
S =(4 11                           T= ( -8 11
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Inverse of a matrix is a matrix derived from another matrix such that if you pre- multiply it with the original matrix you get a unit matrix.
if we multiply S and T
 ST will be 
        ( 4 11    ×      (-8 11   = ( 1 0
          -3 -8)           -3 -4)         0 1)
and also TS
          ( -8 11      ×     (4 11  = ( 1 0
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therefore, matrices S and T are inverses of each other because ST = TS= I 



.
8 0
3 years ago
Read 2 more answers
3(x+9)-4x=11x-13x+23
adoni [48]

Answer:

\huge\boxed{x=-4}

Step-by-step explanation:

3(x+9)-4x=11x-13x+23\\\\(3)(x)+(3)(9)-4x=(11x-13x)+23\\\\3x+27-4x=-2x+23\\\\(3x-4x)+27=-2x+23\\\\-x+27=-2x+23\qquad|\text{subtrsact 27 from both sides}\\\\-x=-2x-4\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x=-4

7 0
3 years ago
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
jolli1 [7]
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Now you just need to substitute the x within the second equation for the x equation we just solved for. 

Therefore, the right answer will be 2(5y-1)+4y= -4. Now, all you have to do is choose the answer that states exactly that, which is the first choice.  

3 0
3 years ago
Find the product for 1.29 x 5.4<br><br> show work please &lt;3.
Afina-wow [57]

Answer:

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Step-by-step explanation:

•Mark how many you have in the d.p

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•Multiply like normal given numbers

•Write where the decimal point is to be

Hope that helps

4 0
3 years ago
Read 2 more answers
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