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katen-ka-za [31]
3 years ago
8

Which expression has the same value as the sum of 45 and 25?

Mathematics
1 answer:
Verdich [7]3 years ago
6 0
5(9+5)
when you open the parentheses you get 45+25
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The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 108. What are their ages?
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1.2) Q5.) The graph is a transformation of one of the basic functions. Find the equation that defines the function.
Yuri [45]
The graph starts at around x = 0. At x = 0, the graph's y-value is 2. There are no x-values that are less than 0.

The graph crosses the following points: (1,1); (4,0); (9, -1)

 The distance between each y-value is exponentially increasing, as the slope of the graph is slowly decreasing as x approaches infinity.

Based on this information, we can say that this graph is a transformation of the base function, y = √x

To determine the transformations made, we need to compare the graph to the original base function (attached below).

The basic function starts at 0, and has a positive slope. It reaches the points (1,1); (4,2); and (9,3). 

The graph in the question shows the function start at 2, and the negative slope reaching the points mentioned earlier in the answer. 

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6 0
3 years ago
!!!!!!!!!!!!!!!!!!!!
Andru [333]

Answer:

f^{-1}(x)=4x+20

Step-by-step explanation:

<u>Given</u>

<u />f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5

<u>Swap x and y and solve for y</u>

<u />y=\frac{x}{4}-5\\ \\x=\frac{y}{4}-5\\ \\x+5=\frac{y}{4}\\ \\4(x+5)=y\\\\y=4x+20

<u>Final answer</u>

<u />f^{-1}(x)=4x+20

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.

3 0
3 years ago
What divides a two dimensional shape into two congruent shapes​
zaharov [31]

Answer:

Rectangle is a 2dimensional shape so, let me explain using it

The diagonal of a rectangle divides the rectangle into two triangles that are congruent and they are the same size and shape.

Another example is parallelogram

The diagonal of a parallelogram also divides the figure into two triangles that are congruent.

Step-by-step explanation:

6 0
4 years ago
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