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AnnyKZ [126]
2 years ago
7

What is the inverse of the function g(x) 3x+7/2?

Mathematics
1 answer:
Kamila [148]2 years ago
7 0
Here’s the answer......

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Thee vertex of a parabola is (-5,2), and its focus is (-1,2). What is the standard form of the parabola?​
Alla [95]

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

\bf \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] ~\dotfill

\bf \begin{cases} h=-5\\ k=2\\ p=4 \end{cases}\implies 4(4)[x-(-5)]=[y-2]^2\implies 16(x+5)=(y-2)^2 \\\\\\ x+5=\cfrac{1}{16}(y-2)^2\implies x = \cfrac{1}{16}(y-2)^2-5

6 0
2 years ago
Read 2 more answers
Given that f(x)=3x+1 and g(x)=4x+2/4, solve for g(f(0))
maksim [4K]
f(x)=3x+1\\\\g(x)=\dfrac{4x+2}{4}\\\\f(0)=3\cdot0+1=0+1=1\\\\g(f(0))=g(1)=\dfrac{4\cdot1+2}{4}=\dfrac{4+2}{4}=\dfrac{6}{4}=\dfrac{6:2}{4:2}=\dfrac{3}{2}=1.5
7 0
3 years ago
Variables x and y are in direct proportion, and y = 48n when x = 16n. Which value of k correctly relates x and y in the equation
ella [17]
You want k.
k=y/x=48n/16n=3
3 0
3 years ago
The midpoint of AB is M(-3, 0). If the coordinates of A are (1,-4), what are the coordinates of B?
zimovet [89]

Using the given information, the coordinates of B are (-7, 4)

<h3>Midpoint of a Line </h3>

From the question, we are to determine the coordinates of B.

Given a line with endpoints (x₁, y₁) and (x₂, y₂), then the midpoint of the line is

((x₁+x₂)/2, (y₁+y₂)/2)

From the given information,

The midpoint of AB is M(-3, 0)

and

The coordinates of A are (1,-4)

Let the coordinates of B be (x₁, y₁)

Then,

-3 = (1 + x₁)/2

-6 = 1 + x₁

x₁ = -6 -1

x₁ = -7

Also,

0 = (-4 + y₁)/2

0 = -4 + y₁

y₁ = 0 + 4

y₁ = 4

Hence, the coordinates of B are (-7, 4)

Learn more on Midpoint of a line here: brainly.com/question/18315903

#SPJ1

7 0
2 years ago
What is the opposite of the integer -23​
Neporo4naja [7]
I think it’s gonna be 23
7 0
3 years ago
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