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3 years ago

Which graph shows the graph for the quadratic function? y=2x^2+5x-3

1 answer:

tatiyna3 years ago

7 0

2x^2 + 5x - 3 = 0

(2x + 1 )(x + 3 ) =0

The zeroes are x = -3 and x = 0.5

The graph is a parabola opening upwards and it cuts the x-axis at (-3,0) and (0.5,0).

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What is the correct form of the partial fraction decomposition for 6x+7/(x+2)^2

andrezito [222]

If you mean

$\dfrac{6x+7}{(x+2)^2}$

the decomposition would be of the form

$\dfrac{6x+7}{(x+2)^2} = \dfrac a{x+2} + \dfrac b{(x+2)^2}$

We have

$6x+7 = 6(x+2) - 5$

which gives

$\dfrac{6x+7}{(x+2)^2} = \dfrac{6(x+2)-5}{(x+2)^2} = \boxed{\dfrac6{x+2} - \dfrac5{(x+2)^2}}$

Or, if you prefer the standard approach, combining the partial fractions on the right side of the equation above would have given

$\dfrac{6x+7}{(x+2)^2} = \dfrac{a(x+2)+b}{(x+2)^2}$

so that

$6x+7 = a(x+2)+b = ax + 2a+b$

Solve for a and b :

$\begin{cases}a=6\\2a+b=7\end{cases} \implies a=6,b=-5$

8 0

3 years ago

Find DE (trigonometry) Show work pls

Ksju [112]

Answer:

Step-by-step explanation:

tan61=FD/24

FD=24tan61

tan19=DE/FD

DE=FDtan19, since FD=24tan61

DE=(24tan61)(tan19) (exact)

DE=14.9 units (rounded to nearst tenth)

Though they might round to 15 units...

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3 years ago

2+2= XD just points WRITE EVERYTHING

Len [333]

Answer:

2+2=4, because 2 is made up of two ones and theres 2 2's which makes it 1+1+1+1=4

Step-by-step explanation:

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2 years ago

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Fed [463]

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AveGali [126]

Answer:

40 years old

Step-by-step explanation:

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