What is solution to equation X-5/7=-3/7

Mathematics

2 answers:

ad-work [718]4 years ago

8 0

X = 2/7
steps:
add 5/7 to both sides

dusya [7]4 years ago

7 0

The answer to the equation is x=2/7
This is because the equation requires you to add 5/7 to -3/7 which results in x equaling 2/7.
(Hope you have a nice day. Could you give me brainliest so I can level up? I only need one more)

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The midpoint of PQ is M(1, 4). One endpoint is P(2, 8). Find the coordinates of the other endpoint Q. Write the coordinates as d

Vladimir [108]

Answer:

Step-by-step explanation:

(x+2)/2 = 1

x + 2 = 2

x = 0

(y + 8)/2 = 4

y + 8 = 8

y = 0

(0, 0)

7 0

3 years ago

FILL IN THE BLANK

IgorLugansk [536]

Now, we know that he's charging $12 per session to each of his students, and he has 14 students currently, so his revenue is just 14 * 12 or 168 bucks.

now, let's take a peek as the session price goes up in jumps of 2, from 12, to 14, 16, 18 and so on, as each jumps happen, the students drop by 1, from 14, to 13, to 12 and so on.

$\bf \begin{array}{ccccllll}
\stackrel{increase}{x}&\stackrel{new}{price}&students&\stackrel{revenue}{y}\\
------&------&------&------\\
0&12&14&168\\
1&14&13&182\\
2&16&12&192\\
3&18&11&198\\
\boxed{4}&20&10&\boxed{200}\\
5&22&9&198\\
6&24&8&192\\
7&26&7&182\\
8&28&6&168\\
..&..&..&..
\end{array}$

notice, the revenue starts off at 168, goes up up, reaches 200 bucks and then starts to drop back down.

thus, that means the U-turn or vertex of that revenue function is at 4,200, namely h = 4, and k = 200

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
\stackrel{c(x)}{y}=a(x-\stackrel{h}{4})\stackrel{k}{+200}
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=2\\
y=192
\end{cases}\implies 192=a(2-4)^2+200
\\\\\\
-8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a
\\\\\\
$

$\bf therefore\qquad \stackrel{ c(x)}{y}=-2(x-4)^2+200\impliedby \textit{let's expand that}
\\\\\\
y=-2(x^2-8x+16)+200\implies y=-2x^2+16x-32+200
\\\\\\
\stackrel{y}{c(x)}=-2x^2+16x+168$

3 0

3 years ago

Read 2 more answers

Jonathan wants to buy a lid for his frying pan. The diameter of the pan is 11 inches. What is the approximate circumference of a

Leona [35]

the approximate circumference of a lid that will fit his frying is 34.5 inches .

Step-by-step explanation:

Here we have , Jonathan wants to buy a lid for his frying pan. The diameter of the pan is 11 inches. We need to find What is the approximate circumference of a lid that will fit his frying . Let's find out:

We know that a lid for his frying pan is basically in shape of circle , So we consider a lid for his frying pan as a circle ! Now ,

Circumference of circle = $2\pi r$ , r = radius