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Ipatiy [6.2K]
3 years ago
14

Area of a rectangle is 36 what is x if the width is x and length is x+5

Mathematics
1 answer:
Reika [66]3 years ago
5 0
If the length is x+5, the width would be x(x+5)=36
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Let g be the function given by g(x)=x^2*e^(kx) , where k is a constant. For what value of k does g have a critical point at x=2/
ArbitrLikvidat [17]
G `( x ) =2x * e^{kx}  + k x^{2} *e^{kx} = \\  = xe^{kx}(2 + kx )
2 + k x = 0
k x = -2
k = -2: x = - 2 : 2/3 = - 2 * 3/2
k = - 3
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3 years ago
Find the 10th term of the sequence 1,10,19,28,...
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For the first one the nth term is 9n - 8 so the 10th term is 9x10 - 8 = 90-8 = 82

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scoray [572]
(0,6)(4,3)
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8 0
3 years ago
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8 0
3 years ago
Find the x intercepts of the parabola with vertex (4,75) and y intercept (0,27)
user100 [1]
The equation for a parabola with vertex (h, k) is
y=a(x-h)^{2}+k

We plug in:
y=a(x-4)^{2}+75

We find a by plugging in the point (0, 27):
27=a(0-4)^{2}+75
\Rightarrow 27=a(-4)^{2}+75
\Rightarrow 27=16a+75
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So our equation is
y=-3(x-4)^{2}+75

To find x-intercepts, we set y=0:
-3(x-4)^{2}+75=0
\Rightarrow -3(x-4)^{2}=-75
\Rightarrow (x-4)^{2}=25
\Rightarrow x-4=5, -5
\Rightarrow x=9, -1

So the x-intercepts are 9 and -1.
8 0
3 years ago
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