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3 years ago

Question 8

Mathematics

1 answer:

lord [1]3 years ago

5 0

Answer: (9, -2)

Step-by-step explanation:

Let's start with what makes a function even. A function is even if the graph of it is symmetric about the y-axis. What is really means is that if you were to fold your graph paper where the crease is on the y-axis, the graph should be the same on each side.

Now since g is an even function, it's correct for us to assume that it is symmetric about the y-axis. What this means is that we expect to find a value at the same point, except on the right side (because our coordinate is negative).

Our coordinate is (-9, -2). If we were to plot it, we'd see it would be in the 3rd quadrant, or the bottom left one. To be symmetrical on the right side, we know there is a point with the same coords in the 4th quadrant. To be on the right, our x coordinate would be positive, and our y coordinate will stay the same.

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Find x such that 3^x = 27 mod 32 (b)

gregori [183]

Answer:

The value of x is 11.

Step-by-step explanation:

Consider the provided information.

It is given that $3^x = 27 mod\ 32$

We know that:

$3^4=81$

Now if we divide the number 81 with 32 it will gives us remainder 17.

This can be written as:

$3^4\equiv 17(mod\ 32)$

Now use the property: $a^n\equiv b^n(mod\ m)$

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Multiply both the sides by 3³.

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Hence, the value of x is 11.

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4 years ago

A store can buy 8 cartons of milk for 24 dollars or 7 cartons of milk for $28.

larisa86 [58]

Answer:

Step-by-step explanation:

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2 years ago

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3 years ago

Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral a b c d the coordinates of a r the reflected q

Zina [86]

Solution :

From the figure,

The coordinates of --

A = (-5,-3)

B = (-6,-1)

C = (-3,-1)

D = (-2,-3)

When it undergoes reflection about x-axis, we have the coordinates of the quadrilateral as

A' = (-5,+3)

B' = (-6,+1)

C' = (-3,+1)

D' = (-2,+3)

Now A'B'C'D' is translated 3 units to right, so the coordinates will be --

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B" = (-3,1)

C" = (0,1)

D" = (1,3)

When the quadrilateral moves third and two units up, we get

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