Select the graph that shows the correct sum

Please Do 3 for 5 points.

alukav5142 [94]

Answer:

44, 46, and 48

Step-by-step explanation:

add them and you should get 138.

7 0

2 years ago

Jeremy and Brenda drove their cars in

harkovskaia [24]

Answer: Jeremy drove 84 miles.

Step-by-step explanation:

Let x represent the number of miles that Brenda drove.

If Jeremy drove twice

as far as Brenda, it means that the distance covered by Jeremy would be 2x miles

When they stopped after some time, they were already

126 miles apart. This means that the total distance covered by both of them is 126 miles. Therefore,

x + 2x = 126

3x = 126

x = 126/3

x = 42 miles

The number of miles that Jeremy drove is

42 × 2 = 84 miles

4 0

3 years ago

A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3

fgiga [73]

Check the picture below, so the parabola looks more or less like that.

now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.

$\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7$

8 0

1 year ago

Answer the questions about the following function.

balandron [24]

Answer:

Step-by-step explanation:

(a) The function ...

$f(x)=\dfrac{16x^{2}}{x^{4}+64}$

can be evaluated for x=-2√2 to get ...

$\displaystylef(-2\sqrt{2})=\frac{16(-2\sqrt{2})^{2}}{(-2\sqrt{2})^4+64}=\frac{128}{64+64}=1$

The point (-2√2, 1) is on the graph of f(x).

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(b) Likewise, we can evaluate for x=2:

$f(2)=\dfrac{16\cdot 2^2}{2^4+64}=\dfrac{64}{80}=0.8$

The point on the graph is (2, 0.8).

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(c) From part (a), we know that f(-2√2) = 1. Since the function is even, this means that f(2√2) = 1. The graph is a maximum at those points, so there are no other values for which f(x) = 1.

The points (±2√2, 1) are on the graph.

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(d) There are no values of x for which f(x) is undefined. The domain is all real numbers.

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(e) The only x-intercept is at the origin, (0, 0). The x-axis is a horizontal asymptote.

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(f) The only y-intercept is at the origin, (0, 0).

8 0

2 years ago

Read 2 more answers

Below is a piece of a local pizza place menu where Jacob works.

juin [17]

It is not reasonable because if someone were to add 4 toppings, the price would be $20.41. However, if a person were to add 3 toppings using that equation, the price would $19.02.

3 0

2 years ago

Read 2 more answers