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Luda [366]
3 years ago
8

Graph the linear inequality x<6

Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

Step-by-step explanation:

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The functions f and g are graphed in the same rectangular coordinate system, shown to the right. If g is obtained from f through
german

The first thing we notice is that the function is reflected. So we can start by reflecting it with respect to the x-axis.

We do this by adding a negative sign in the function:

\begin{gathered} f_0(x)=x^2 \\ f_1(x)=-f_0(x)=-x^2 \end{gathered}

Now, we have the function reflected, but in the wrong position. We can track its position by the vertex. It was originally at (0,0) and remains at (0,0) after the reflection.

But the final function have its vertex at (-5,0), so we have to translate the function 5 units to the left. we do this by adding 5 to the x in the function:

f_2(x)=f_1(x+5)=-(x+5)^2

Now, to check if there isn't any dilatation, we can check on other point in the graph to see if it checks out.

In the blue graph, we see the point (-3,-4), so let's input x = -3 and see if it checks out:

f_2(-3)=-(-3+5)^2=-(2)^2=-4

We got y = -4, so it checks out.

Thus, the answer is:

g(x)=-(x+5)^2

3 0
1 year ago
you can buy 5 cans of green beans at the Village Market for $2.20 you can buy at 10 of the same cans of beans at Sam's Club for
EastWind [94]
The village market is the better place to buy green beans because there it is $0.44 ----- 2.20/5= .44
and at Sams they are $.51 ----- 5.10/10= .51
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2 years ago
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Round 53,579 to the nearest thousand
ololo11 [35]
54,000 if the column before is 5 or more, you round up
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2 years ago
Which is more, 10 tablespoons or 6 fluid Ounces?
xz_007 [3.2K]
6 fluid ounces is more than 10 tablespoons
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2 years ago
2/7 and 2/3 determine the common denominator
8_murik_8 [283]

Answer:

21

Step-by-step explanation:

To get the common denominator of two numbers that are not multiples of each other, you multiply the two denominator

So, 7×3=21

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