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zubka84 [21]
4 years ago
8

Slope= -2, y-intercept=5

Mathematics
1 answer:
vlabodo [156]4 years ago
6 0

Answer:

y = -2x+5

Step-by-step explanation:

The formula for slope is y=mx+b.

(m = slope and b = y-intercept)

Plug in the numbers and you get your equation.

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Find the derivative of f(x) = -2x2 + 11x at x = 9.
zavuch27 [327]
\bf f(x)=-2x^2+11x\qquad\qquad  \lim\limits_{h\to 0}\ \cfrac{f(x+h)-f(x)}{h}\\\\
-----------------------------\\\\
\cfrac{[-2(\underline{x+h})^2+11(\underline{x+h})]\quad -\quad [-2x^2+11x]}{h}
\\\\\\
\cfrac{[-2(x^2+2xh+h^2)+11x+11h]\quad -\quad [-2x^2+11x]}{h}
\\\\\\
\cfrac{\underline{-2x^2}-4xh-2h^2\underline{+11x}+11h\quad \underline{+2x^2}\underline{-11x}}{h}

\bf \cfrac{-4xh-2h^2+11h}{h}\implies \cfrac{\underline{h}(-4x-2h+11)}{\underline{h}}
\\\\\\
\lim\limits_{h\to 0}\ -4x-2h+11\implies -4x-2(0)+11
\\\\\\
\left. -4x+11\cfrac{}{} \right|_{x=9}\implies -4(9)+11
6 0
4 years ago
What is the distance between (6, 1) and (1, -9)?​
AVprozaik [17]

<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u> </u>√15 units

Step-by-step explanation:

Let (6,1) be (x^1,y^1) and (1,-9) be (x^2,y^2) .

As we know ,

Distance(D) = √(x^1-x^2) +(y^1-y^2)

Now,

D= √(x^1-x^2) +(y^1-y^2)

= √(6-1) +(1+9)

= √5+10

= √15 units

: Therefore the distance between (6,1) and (1,-9) is √15 units.

4 0
3 years ago
2.49 divied by 48 1/8 i will mark you brainlist
Monica [59]

2.49 divied by 48 1/8

make 2.49 into an mixed number first

2 49/100.

make 2 49/100 into an improper fraction

Mutiply the whole number with the denominator

2*100= 200

Add 200 with the numerator. 200+49= 249

2 49/100= 249/100

48 1/8-make it into a improper fraction

48 1/8=385/8

249/100* 8/385

Answer: 0.05

5 0
3 years ago
Consider the series 1/4 1/16 1/64 1/256 which expression defines sn
shutvik [7]

This is a geometric progression

  • Common ratio=1/16÷1/4 =1/4
  • first term =a=1/4

So

The general formUla is

\\ \rm\Rrightarrow a(n)=ar^{n-1}

\\ \rm\Rrightarrow a(n)=\dfrac{1}{4}\left(\dfrac{1}{4}\right)^{n-1}

6 0
3 years ago
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What is the total area of the garden?
Elena-2011 [213]
210 meters squared is the answer to this equation.
4 0
3 years ago
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