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3 years ago

What will be the unit digit of the square of 7992

Mathematics

1 answer:

Alina [70]3 years ago

7 0

Answer:

Step-by-step explanation:

Here you need not completely solve 7992 squared. You can just take the last digit which in this case is 2 and solve for the square of that digit. 2 x 2 = 4. Now if it was a bigger digit which would result in a two digit number when squared you would take the last digit of that number. But, we don't need to do that here since 2 squared is 4.

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Let f(x)= lxl-3 Write a function g whose graph is a translation 5 units down of the graph of f.

soldier1979 [14.2K]

If the function "f(x) = lxl-3" were translated five units down the graph, g(x) would be lxl-8.

We must be familiar with function transformation and different forms of transformation in order to properly understand the question. When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects" to create a new function. For instance, by simply pushing the graph of the function g(x) = x2 up by 7 units, the graph of the function f(x) = x2 + 7 is generated. It is advantageous to convert a function since it saves us from having to create a new function from begin. Function transformations typically fall into one of three categories: 1. 2nd translation 3. dilation Reflection

The given query is about Translation of Function. To create a new function, translation moves the curve up or down and modifies its position. Translation comes in two flavours. Vertical and horizontal translation.

When the curve changes, "the function" shifts upward or downward. By doing this, a function of the form y = f(x) is transformed into f(x) ± k, where k stands for the vertical translation. In this case, the function moves up by k units if k > 0.

The function goes down by 'k' units if k < 0.

The curve in the given problem goes down by 5 units, so k = 5. Which is a vertical translation scenario. Consequently, y = f(x) becomes f(x) - k = g(x) and g(x) = f(x) - k = lxl-3 -5 = lxl - 8.

Therefore the new function after translation is g(x) = lxl - 8.

Learn more about function and types of transformation such as translation, dilation etc here

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4 0

1 year ago

The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic

zhuklara [117]

Answer:

C. $25

Step-by-step explanation:

We will find,

The slope of the function using $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

Taking the points (1,40) and (2,55).

Slope = $\frac{55-40}{2-1}$

i.e. Slope = $\frac{15}{1}$

i.e. Slope = 15

Substituting the slope and point (1,40) in the equation $y=mx+b$ ,

We have, $40=15\times 1+b$

i.e. $b=40-15$

i.e. b= 25

Thus, the equation of the linear function is $y=15x+25$ .

<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>

So, the initial value of the comic book is when x= 0.

So, $y=15\times 0+25$ i.e. y= 25

Hence, the cost of the book when Lucy purchased it was $25.

8 0

3 years ago

Read 2 more answers

Is 49 and 770 relatively prime

natita [175]

No nether are a prime number because they have a remainder and prime numbers <span> can only be divided without a remainder by itself and one
</span>

6 0

3 years ago

Use a normal approximation to find the probability of the indicated number of voters. In this case assume that 150 eligible vote

alexdok [17]

The number of people who voted follows a binomial distribution with probability of having voted $p=0.22$ and $n=150$ subjects, which means the approximating normal distribution should have mean $np=33$ and standard deviation $\sqrt{np(1-p)}\approx5.07$ .

With the continuity correction, you have

$\mathbb P(X$

8 0

3 years ago

Luda [366]

Answer:

x = 10

Step-by-step explanation:

Q is the midpoint of PR: PQ = QR

4x + 5 = 2x + 25

2x = 20

x = 10

3 0

3 years ago

What will be the unit digit of the square of 7992​

What will be the unit digit of the square of 7992