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Delvig [45]
3 years ago
15

Evaluate l-a^2l, given a = 5, b = -3, and c= -2.

Mathematics
2 answers:
mash [69]3 years ago
6 0
THE ANSWER ISSS
25 WHICH IS C
dimulka [17.4K]3 years ago
3 0
I’m sorry bro I wish I knew
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Only the a) part please!!!!
choli [55]

(i)\\\\2A = \begin{pmatrix}3x \times 2  & 1 \times 2 & 5 \times 2\\0\times 2 & 2x \times 2 & -3 \times 2\end{pmatrix} = \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix}\\\\\\(ii)\\\\2A + B = C\\\\\implies  \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix} + \begin{pmatrix}y & 0 & -4\\1 & -3y & 2\end{pmatrix} = \begin{pmatrix}31& 2 & 6\\1 & 17& -4\end{pmatrix}

\implies \begin{pmatrix}6x+y & 2+0 & 10-4\\0+1 & 4x-3y & -6+2\end{pmatrix} =  \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\\\implies \begin{pmatrix}6x+y & 2 & 6\\1 & 4x-3y & -4\end{pmatrix} =  \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\text{System of equations},\\\\6x +y =31,~~ 4x -3y = 17\\\\\\(iii)\\\\6x +y-31 =0 \\\\4x-3y -17=0\\\\\text{Solving by cross multiplication method}\\\\\\\dfrac x{1(-17) - (-31)(-3)} = \dfrac y{4(-31) - 6(-17)} = \dfrac 1{6(-3) - 4(1)}

\implies \dfrac{x}{-17 -93}  = \dfrac{y}{-124 +102} = \dfrac 1{-18-4}\\\\\\\implies -\dfrac{x}{110} = -\dfrac{y}{22} = -\dfrac 1{22}\\\\ \implies \dfrac{x}{110} = \dfrac{y}{22} = \dfrac 1{22}\\\ \\\text{Hence,}\\\\\\x=\dfrac{110}{22}=5,~~~~ y= \dfrac{22}{22} =1

7 0
2 years ago
Read 2 more answers
Find the equivalent expression to 3(4m-2) -2(m+5)
leva [86]
3(4m-2)-2(m+5)
Distribute 3 into the equation
12m-6 than do the same with -2
-2m-10
combine like terms
10m-16
5 0
3 years ago
Determine the inverse of the function. (show work please)
uysha [10]

Answer:

This is easy -- it's just a list of steps.  At this level, the problems are pretty simple.

Let's just do one, then I'll write out the list of steps for you.

Find the inverse of f( x ) = -( 1 / 3 )x + 1

STEP 1:  Stick a "y" in for the "f(x)" guy:

y = -( 1 / 3 )x + 1

STEP 2:  Switch the x and y

                   ( because every (x, y) has a (y, x) partner! ):

x = -( 1 / 3 )y + 1

STEP 3:  Solve for y:

x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3

STEP 4:  Stick in the inverse notation, f^( -1 )( x )

f^( -1 )( x ) = -3x + 3

Step-by-step explanation:

5 0
3 years ago
The graph of f(x) shown below has the same shape as the graph of g (x) = x^2 but it is shifted to the left 2 units. what is the
mariarad [96]

Answer:

  C.  F(x) = (x+2)²

Step-by-step explanation:

A horizontal shift to the right by "h" units is achieved by replacing x with (x-h). The shift we want is to the left by 2 units, so h = -2, and we have ...

  f(x) = g(x -(-2)) = g(x+2)

  f(x) = (x+2)²

8 0
3 years ago
Marc baked brownies in the brownie pan shown below. Each day, he is going to eat 20 square centimeters of brownie from the pan.
podryga [215]

Answer:

35\ days

Step-by-step explanation:

step 1

Find the area of the trapezoid (brownie pan)

A=\frac{1}{2}(29+41)20=700\ cm^{2}

step 2

To find the number of days , divide the area of the brownie pan by 20 square centimeters of brownie

\frac{700}{20}=35\ days

8 0
3 years ago
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