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nasty-shy [4]
3 years ago
7

What is the product of (b+5)(b-11)

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

Answer:

b^2 - 6b - 55

Step-by-step explanation:

(b + 5)(b - 11)

Use FOIL

First

Outside

Inside

Last

F:  b * b = b^2

O:  b * -11 = -11b

I:  5 * b = 5b

L:  5 * -11 = -55

b^2 - 11b + 5b - 55

Combine like terms

-11b + 5b = -6b

b^2 - 6b - 55

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How do you find an exact value for sin of 40 degrees without using a calculator
Cerrena [4.2K]
Sin 40° + sin 130° + sin 220° + sin 310° = ...
sin 130° = sin 50°;
sin 220° = - sin 40°;
sin 310° = - sin 50°
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8 0
3 years ago
I'm stuck idkdmsjshhdhd
Klio2033 [76]
I hope this helps you



1)


a) 18/50


b) 6.1/3=2


c) 9/2.8/3=3.4=12


2)


1 1/2=1.2+1/2=3/2


3 3/4=3.4+3/4=15/4



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3 0
3 years ago
For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

4sin(x^2) = 0

sin(x^2) = 0

x^2 = n\pi where n = 0, 1, 2,3, 4, 5,...

x = \sqrt(n\pi)

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0

xcos(x^2) = 0

x = 0 or

cos(x^2) = 0

x^2 = \frac{\pi}{2} + n\pi where n = 0, 1, 2, 3

x = \sqrt{\pi(n+1/2)}

Since we are restricting x between 0 and 3 we can stop at n =  2

So our critical points are at

x = 1.25, y = f(1.25) = 4sin(1.25^2) = 4

x = 2.17 , y = f(2.17) = 4sin(2.17^2) = -4

x = 2.8, y = f(2.8) = 4sin(2.8^2) = 4

For the inflection point, we can take the 2nd derivative and set it to 0

f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0

cos(x^2) = 2x^2sin(x^2)

tan(x^2) = \frac{1}{2x^2}

We can solve this numerically to get the inflection points are at

x = 0.81, y = f(0.81) = 4sin(0.81^2) = 2.44

x = 1.81, y = f(1.81) = 4sin(1.81^2) = -0.54

x = 2.52, y = f(2.52) = 4sin(2.52^2) = 0.27

3 0
3 years ago
What is (-8)to the power of 2 equal??
Vladimir79 [104]
(-8)^2
(-8)(-8)
64

Hope this helps!
3 0
3 years ago
Read 2 more answers
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