Pablo is studying the function f(x) shown in the graph. He claims that he can transform the function to include ordered pair (2,

When regrouping, you're essentially simplifying the problem into smaller parts. For instance, you would calculate 60 + 40=? and then solve 4 + 3=? The final answer would be 107.

10 billions in the place of the 6

Answer:

Answer choice C. .

Step-by-step explanation:

The entire question is present in the attached figure.

It is established that

The function f(x) is represented by

,

indicating a parabola that opens upward.

The vertex is situated at the point (0,0).

The function g(x) shares the same parabolic shape.

The vertex of g(x) is located at (-3,1).

Therefore,

The transformation from f(x) to g(x) can be described as:

(0,0) transforms to (-3,1).

(x,y) transforms to (x-3,y+1).

This indicates a shift of 3 units to the left and 1 unit upward.

Thus,

The equation for g(x) in vertex form can be expressed as

.

Using the Pythagorean theorem: In a right triangle where legs are labeled a and b, and hypotenuse is c. Given the triangle ΔXYZ has a right angle at Y, with angles YZX and ZXY both measuring 45 degrees, and ZY = YX = 12 cm. The task is to find the length of XZ.

The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.

Explanation

This can be simplified as follows:

• 10 times a given quantity of _____ hundreds results in 60 hundreds
• 60 hundreds convert to _____ thousands

We will divide this into two segments:

... Equation-1

... Equation-2

This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.

Initially, let's focus on Equation-1.

We will move the variable M to one side of the equation in order to isolate it and solve for its value.

Both parts will be divided by 1,000, essentially being multiplied by .

Thus, we conclude with

Next, we process Equation-2 to derive M's value.

Rearranging this equation to place M on the left side appears as follows:

Again, both sides undergo division by 1,000, which translates to multiplication by .

This results in

- - - - - - -

Alternative approach for the second step:

60 hundreds equals to __ thousands

Additional resources

1. A more detailed version of this topic
2. 2 thousands 7 tens divided by 10 equals what?
3. 100 is equivalent to 1/10 of which number?

Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange