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Zina [86]
3 years ago
12

Use the graph of f(x) below to estimate the value of f '(3):

Mathematics
2 answers:
Shalnov [3]3 years ago
6 0

Answer:

-5 he was off by one :/

Step-by-step explanation:

klio [65]3 years ago
3 0
Well, looking at the graph, notice, its vertex is at 0,9, and it passes through the points -3,0 and 3,0, so hmm let's use 3,0, to get the equation of f(x)

\bf ~~~~~~\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~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------

\bf vertex~(0,9)~
\begin{cases}
h=0\\
k=9
\end{cases}\implies y=a(x-0)^2+9
\\\\\\
\textit{we also know that }
\begin{cases}
x=3\\
y=0
\end{cases}\implies 0=a(3-0)^2+9
\\\\\\
-9=9a\implies \cfrac{-9}{9}=a\implies -1=a\quad thus\quad \boxed{y=-x^2+9}
\\\\\\
\left. \cfrac{dy}{dx}=-2x \right|_{x=3}\implies -6
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3/10 multiply to find an equivalent fraction
SCORPION-xisa [38]
<span>You multiply both the numerator and the denominator by the same number (but not 1 or 0), but don't simplify. 3/10 is your fraction, and you could multiply the top and bottom numbers by 2 to get 6/20.

I hope I helped please leave thanks

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8 0
3 years ago
20≥8+4.99x please I could get an F.
marin [14]

Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{1200}{499}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.40480\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{1200}{499}]\end{bmatrix}

Step-by-step explanation:

20\ge \:8+4.99x\\Switch\:sides\\8+4.99x\le \:20\\\mathrm{Multiply\:both\:sides\:by\:}100\\8\cdot \:100+4.99x\cdot \:100\le \:20\cdot \:100\\Refine\\800+499x\le \:2000\\\mathrm{Subtract\:}800\mathrm{\:from\:both\:sides}\\800+499x-800\le \:2000-800\\Simplify\\499x\le \:1200\\\mathrm{Divide\:both\:sides\:by\:}499\\\frac{499x}{499}\le \frac{1200}{499}\\Simplify\geq \\x\le \frac{1200}{499}

5 0
2 years ago
What is the slope of this line?
PIT_PIT [208]

Answer:

It has a slope of 1.

Step-by-step explanation:

First, you need to choose two points. The points HAS to be exactly on top of the line.

The two points I picked where

(-2,0) and (-1,1)

All you do is subtract the two points. Remember rise over run or y/x

1 -0 = 1

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6 0
3 years ago
Which quadrant does the point (-3, 6) lie in?<br><br> Quadrant IV<br> Quadrant I<br> Quadrant II
elena-14-01-66 [18.8K]

It should be in Quadrant II! <3

6 0
3 years ago
Read 2 more answers
In the radius of a circle with an area of 10 inches squared is reduced by half what is the area of the new circle
Sphinxa [80]

Answer:

Hence when the radius is halved the area is divided by 4

2.5 inches^2

Step-by-step explanation:

Given data

Area= 10inches^2

We know that the expression for the area of  a circle is given as

Area= πr^2

10= 3.142*r^2

10/3.142= r^2

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Square both sides

r= √3.18

r= 1.78 inches

Now let us half the radius and find the area of the new circle

r/2= 1.78/2

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Area of the new circle is

Area= 3.142*0.89^2

Area= 3.142*0.7921

Area= 2.5 inches^2

7 0
3 years ago
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