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Serggg [28]
2 years ago
13

Please help!!! Answer needed fast<3

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
3 0

Answer:

-5 + 6 = 1

Step-by-step explanation:

The model number may be used to simplify -5 + 6 = 1

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A sporting goods store sold 2.5 times as many footballs as basketballs last year. Which statement is true?
Yuri [45]

THE ANWSER IS 2 CAUSE U HAVE TO DIVIDE


3 0
3 years ago
Read 2 more answers
Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).
Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

  1. <u>Shifting</u>: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the <em><u>y-coordinate</u></em> is<em> </em>added or subtract and the x-coordinate is unchanged, there is a <em><u>vertical</u></em> <u><em>shift</em></u>. If it is the <em><u>x-coordinate</u></em> which changes and y-coordinate is kept the same, the shift is a <em><u>horizontal</u></em> <u><em>shift</em></u>;
  2. <u>Scaling</u>: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the <em>y-coordinate</em> is multiplied or divided by a constant but x-coordinate is the same, it is a <em>vertical scaling</em>. If the <em>x-coordinate</em> is changed by a constant and y-coordinate is not, it is a <em>horizontal</em> <em>scaling</em>;
  3. <u>Reflecting</u>: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0)  (0,6)  (5,-4)  (8,0)

And the points for g(x) are:

(-5,-3)  (0,-9)   (5,1)   (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a <u>Vertical</u> <u>Shift</u>.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a <u>Reflection</u>.

<u>Range</u> <u>of</u> <u>a</u> <u>function</u> is all the values y can assume after substituting the x-values.

<u>Domain</u> <u>of</u> <u>a</u> <u>function</u> is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph            translation            domain      range

f(x)                       none                 [-5,8]          [-4,6]

g(x)                vertical shift           [-5,8]          [-9,1]

<u>In conclusion, this transformation (or translation) will affect the range of g(x)</u>

5 0
2 years ago
The formula for the nth squaresquare number is Upper S Subscript n Baseline equals n squaredSn=n2. Use the formula to find the 9
AURORKA [14]

Answer:

9801

Step-by-step explanation:

Given the general term for calculating the nth term of a sequence;

Sn = n²

Where n is the number of terms.

To find the 99th term of the sequence using the nth term of the sequence;

Since we want to get the 99th term, this means that n = 99. Substituting n = 99 into the formula we will have;

S99 = 99²

S99 = 9,801

7 0
2 years ago
The triangles are similar.
RSB [31]

Answer:

The value of x is 12.

Step-by-step explanation:

In order to find the value of x, we first need to find the scale factor. We can find this by dividing any side of the larger triangle with the corresponding part of the smaller triangle.

28/7 = 4

This means everything in the larger triangle is 4 times as great as the smaller triangle. Knowing this, we can set the larger hypotenuse equal to 4 times the smaller.

6x + 28 = 4(25)

6x + 28 = 100

6x = 72

x = 12

8 0
3 years ago
Last month the amount on Jaden's bank account statement went from $200 to $150.
vodka [1.7K]

Answer:

That is a 25% change.

Step-by-step explanation:

3 0
2 years ago
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