#1 is 2 X 10 to the 4th power

#2 is America because America has 20,000 a year and UK has 10,000 a year. The difference between them is 10,000 kilograms a year

6 0

3 years ago

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!!!!PLEASE HELP!!!

Wittaler [7]

Answer:

C. x = -1 ; x ~8.1

Step-by-step explanation:

First we graph $f(x)= -\sqrt{x+2} -3$

Here we have x+2 under the square root. x+2>=0, x>=-2

So we take some x values greater than -2 and find out f(x) to make a table for graphing

x f(x)

-2 $-\sqrt{-2+2} -3=-3$

-1 -4

2 -5

Graph it and extent the graph

Now we graph $g(x)= -2|x-3| + 4$

Given equation is in the form of g(x) = a|x-h| + k

where (h,k) is the vertex

here h= 3 and k = 4, so vertex is (3,4)

Now make a table, pick some numbers for x less than and greater than vertex

x y

-1 $-2|-1-3| + 4=-4$

0 $-2|0-3| + 4=-2$

3 4

6 -2

Both graphs are attached below

The graph of f(x) and g(x) interests at x= -1 and x=8.1

3 0

3 years ago

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The function y =3 square root –x- 3 is graphed only over the domain of {x | –8 < x < 8}. What is the range of the graph?

Flauer [41]

Using a graphing tool, we can see that the whole range of the function

is y ∈ [0,∞)

Now, in the interval

{x | –8 < x < 8}.

The range is y ∈ [0 ; 6.708)

5 0

3 years ago

Write an equation for an ellipse centered at the origin, which has foci at (\pm5,0)(±5,0)(, plus minus, 5, comma, 0, )and vertic

Virty [35]

Answer:

The equation of ellipse is

$\frac{x^2}{41}+\frac{y^2}{16}=1$

Step-by-step explanation:

The equation of an ellipse is

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$

where(h,k) is the center and c is distance from the center to the foci is given by $a^2-b^2=c^2$ . a is the distance from the center to the vertices and b is the distance from the center to the co-vertices.