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3 years ago

Describe and sketch the suraface in R3 represented by the equation x+y=2.

Mathematics

1 answer:

Talja [164]3 years ago

5 0

Answer:

The three-dimensional surface represented by the equation x+y=2 is an inclined plane, as seen in the image.

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Sis In order to identify the zeros of the function, a student factored the cubic function ()=−−f of , open x close , equals , x

creativ13 [48]

Answer:

f(x)=x(x-5)(x+2)

Step-by-step explanation:

Since the steps of the factorization of the polynomial f(x) is not given, I will proceed to give the correct factorization of f(x).

f(x)=x³-3x²-10x

First, we factor out x since it is a common term.

f(x)=x(x²-3x-10)

Next, we factorize the quadratic expression x²-3x-10.

f(x)=x(x²-5x+2x-10)

f(x)=x(x(x-5)+2(x-5))

f(x)=x(x-5)(x+2)

The correct factorization of the polynomial f(x)=x³-3x²-10x is: f(x)=x(x-5)(x+2)

7 0

3 years ago

In a recent survey of American teenagers, 44% of them chose pizza

EastWind [94]

Answer: i dont know the answer

8 0

2 years ago

How many ways can choose 7 friends to be invited to the party out of 20 total friends?

Lelu [443]

Answer:

Each of the 7 friends could be present or not present (2 cases) at the party giving total of 27 scenarios.

Since at least one must be present we exclude the case that none of them is present. So the answer would be:

27−1=127.

Step-by-step explanation:

i actually dont know but can you report me and dont ask

3 0

3 years ago

A pet store is having a pet fish sale. Lenny bought p platies and l loaches. Write an algebraic expression to represent the tota

IrinaK [193]

You would write the expression as nP +nL=cost because it’s the number of plagues that he buys plus the number of loaches that he buys

4 0

3 years ago

Read 2 more answers

What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.

SOVA2 [1]

Notice the picture below

the directrix is above the focus point, meaning the parabola is vertical and is opening downwards

now, "p" is the distance from the vertex to the focus point or the directrix, so that means, the vertex is between those two fellows, over the axis of symmetry, x = -2, since "p" is 1 unit, that puts the vertex at -2,5

since the parabola is opening downwards, that means the "p" value is negative, so is -1

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}}) }\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-----------------------------\\\\$

$\bf \begin{cases}
p=-1\\
h=-2\\
k=5
\end{cases}\implies (x-(-2))^2=4(-1)(y-5)
\\\\\\
(x+2)^2=-4(y-5)\implies 
-\cfrac{1}{4}(x+2)^2=y-5
\\\\\\
\boxed{-\cfrac{1}{4}(x+2)^2+5=y}$

4 0

3 years ago