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vovikov84 [41]
3 years ago
10

12% of 80 working out​

Mathematics
1 answer:
horsena [70]3 years ago
4 0

How to do the problem:
Assuming that you mean you want 12% of the number 80 and showing work, here is the answer:

To get X percent of any number, write the percent as a decimal and then multiply that decimal by the whole.

What I mean:

You want 12% of 80
so first change 12% into a decimal
12% is equal to .12 as a decimal

Then multiply that decimal by the whole
Since you want 12%  of 80, 80 is the whole

that means you do .12 * 80
which is equal to 9.6
<u>Thus(answer)</u>
12% of 80 = 9.6

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-x=-y+2 and 3y+4=2x solve using matrices
MissTica

\begin{cases}-x=-y+2\\3y+4=2x\end{cases}\implies\begin{cases}x-y=-2\\2x-3y=4\end{cases}

In matrix form, this is

\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-2\\4\end{bmatrix}

The coefficient matrix has determinant

\begin{vmatrix}1&-1\\2&-3\end{vmatrix}=-3+2=-1\neq0

so it has an inverse, which is

\begin{bmatrix}1&-1\\2&-3\end{bmatrix}^{-1}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}

Multiply both sides by the inverse matrix:

\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}-2\\4\end{bmatrix}

\implies\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-10\\-8\end{bmatrix}

so that x=-10 and y=-8.

8 0
3 years ago
What is the answer please?
Marina CMI [18]

Answer:

The one you are on, f(x+2)+4

Step-by-step explanation:

First, we can see by the 0 point that it is just moved up by 4 and not left or right any, so we want to see how it has changed without the +4.  


in g(x) the x changes by two, 0 to 2, and the y changes by one, 4 to 5.


Hopefully you can tell what the function being manipulated is.  It is x^3  so if we write that instead of f(x) in the answers the first one for instance would be (x/3)^3-4.  (let me know if that doesn't make sense)


SInce we already know it's being moved up by 4, we know it's one of those with +4 at the end.  It's easy enough to guess and check, but the process to find the answer is pretty easy.  We also know that at 2, the change is 1.  So without the +4 at the end, what would let us change 8 to 1?  dividing it by 8, which is also 2^3.  so that means (2/2)^3.  So the answer is we want f(x/2) witht he +4 at the end.  


Hopefully that made sense, I'd be happy to explain further if you need though

8 0
3 years ago
A+ -12= 45 6th grade
Dmitry_Shevchenko [17]
A = 57
45 + 12 = 57
57 - (-12) = 45
8 0
3 years ago
Simplify the difference quotient f(x)=x^2+9
Setler [38]

Answer:

sorry is its complicated

Step-by-step explanation:

Find the components of the definition.

f

(

x

+

h

)

=

x

2

+

2

h

x

+

h

2

−

9

f

(

x

)

=

x

2

−

9

Plug in the components.

f

(

x

+

h

)

−

f

(

x

)

h

=

x

2

+

2

h

x

+

h

2

−

9

−

(

x

2

−

9

)

h

8 0
3 years ago
What is the probability of not picking a red face card when you draw a card at random from a pack of 52 cards? ​
aniked [119]

Answer:

3/13

Step-by-step explanation:

7 0
3 years ago
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