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earnstyle [38]
3 years ago
6

Use the equation x2 - 10x = 11 to fill in the table below.

Mathematics
1 answer:
notsponge [240]3 years ago
5 0

Answer:

a)  25

b) the square root of 36 should be done

Step-by-step explanation:

x² - 10x = 11

take half of 10 and square it

x² - 10x + 25 = 11 + 25

(x-5)² = 36

x-5 = \sqrt{36}

x - 5 = 6  and  x - 5 = -6

x = 11  and  x = -1

You might be interested in
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

brainly.com/question/26092237

#SPJ9

4 0
1 year ago
ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages
NeX [460]

x   -  Ram's age now

Ram is half his father's age now, so his father's age is two times Ram's age:

2x  - Ram's father age now

x - 10   -  Ram's age ten years ago

2x - 10    - Ram's father age ten years ago

ten years ago he was one third his father's age so his father's age was three times Ram's age:

2x - 10 = 3•(x - 10)

2x - 10 = 3x - 30

-10 + 30 = 3x - 2x

20 = x

2x = 2•20 = 40

Answer:

<u>Ram is 20 years old now, Ram's father is 40 years old now.</u>

8 0
3 years ago
Choose the best answer.
Lubov Fominskaja [6]
I think its A. Recession
5 0
3 years ago
Read 2 more answers
Help please. What letter is the correct answer?
sveticcg [70]

Howdy!

The answer is A, Between 2 and 3. To find this out, multiply 6(/1) by 2/5, which is 2.4, 2.4 is between 2 and 3, so that's the answer.

Hope this helped!

8 0
3 years ago
Read 2 more answers
The expression cosine of pi over 2 times cosine of pi over 3 plus sine of pi over 2 times sine of pi over 3 can be rewritten as
9966 [12]

Solution:

Given;

\cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}

Using the identities;

Thus;

\begin{gathered} \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{2}-\frac{\pi}{3}) \\  \\ \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{6}) \end{gathered}

CORRECT OPTION: A

6 0
1 year ago
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