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FrozenT [24]
3 years ago
10

?????????????????????

Mathematics
1 answer:
Mademuasel [1]3 years ago
3 0

Answer:

\sqrt{x+6}

Step-by-step explanation:

So, there are a few things we need to go over to graph a function,

When a number is outside of a root, it changes the y value. For example:

y=\sqrt{x}+6

With the +6, y will always be 6 higher than normal.

If it was -6, then y will always be 6 lower than normal.

What if the number is inside the root? Well, it works a little differently.

Instead of changing the y value, it changes the x value. For example:

y=\sqrt{x+6}

So if you put a number in for x, lets say -6, wht would you get?

You would get -6+6=0

The square root of 0 is 0, so when x=-6, y=0

Normally, x would have to equal 0 for the y value to be 0.

So basically, when we see the number isnide of the root, we can think the our x coordinate being subtracted by that number.

This makes since, because if we subtract the +6 from x:

x-(+6)= x-6, and -6 is our x coordinate.

If it was -6 at the start, this would also work:

x-(-6)= x+6. So our x coordinate would start at 6.

Now, lets look at our graph.

As we can see, the x values start at -6, and the y values starts at 0.

This eliminates A and D, since the +6 would change the y value, not the x.

Remember that x-6 would make x a postive 6.

x+6 however, would make x a negative 6.

So we need x+6 in a square root.

This eliminates B, since it has a x-6, making the x coordinate postive 6, not negative 6.

So c is our answer.

Hope this helps!

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<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2018%20%3C%200" id="TexFormula1" title=" {x}^{2} - 18 &lt; 0" alt
NARA [144]

Answer

-sqrt(18)<x<sqrt(18)

Step-by-step explanation:

  1. Factorise:(x-sqrt(18))(x+sqrt(18))<0
  2. Critical values:-sqrt18 and sqrt18
  3. Use number line or graphical method
8 0
3 years ago
Five hundred yards of fence is to be used to enclose a rectangular area next to a straight river. The river bank acts as one sid
fenix001 [56]

Answer:

the requirements are missing:

  1. express the height of the rectangle in terms of w
  2. express the area of the rectangle in terms of w

1) the height of the rectangle is:

w + h + h + w = 500 + w

2w + 2h = 500 + w

2h = 500 + w - 2w = 500 - w

h = (500 - w) / 2 = 250 - 0.5w

2) the are of the rectangle is:

w x h = w x (250 - 0.5w) = 250w - 0.5w²

3 0
2 years ago
Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find
Anastasy [175]
Required area of shaded portion

= Area of square ABCD - 4 × area of one quadrant

= 14 \times 14 - 4 \times \frac{90}{360} \times \frac{22}{7} \times (7) \times (7)

= 196 - 154 = 42 \: cm {}^{2}

3 0
3 years ago
What is the surface area of the square pyramid?
Marrrta [24]

Answer:

Right square pyramid

Solve for surface area

A=a2+2aa2

4+h2

a Base edge

Enter value

h Height

5 0
2 years ago
PLS HELP ILL MARK BRAINLIEST ITS URGENT
Nataliya [291]

Answer:

(x^2 + x -1) x (x^2+3x-3)

Step-by-step explanation:

-6x-5+x^4+4x^3-x^2+8

-6x+3+x^4+4x^3-x^2

-6x+3+x^4+x^3+3x^3-x^2

-3x-3x+3+x^2 x(x^2+x-1)+3x^3 +3x^2-3x^2

3x *(x^2+x+x-2)-3(x^2+x-1)+x^2 *(x^2+x-1)

= (x^2+x-1) x (x^2+3x-3)

* means multiply btw

8 0
2 years ago
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