3 years ago

Find the following for the function f(x)=3x2+2x−3.

Mathematics

1 answer:

N76 [4]3 years ago

8 0

Answer:

- 3

Is the correct answer

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The population of a small town in central Florida has shown a linear decline in the years 2005-2013. In 2005 the population was

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Step-by-step explanation:

the population 761.B

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3 years ago

What is the answer to the problem (m-3)(-10)

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What is the amount of compound interest earned after three years on a $100 deposit paying 8 percent interest annually? $8.00 $16

horrorfan [7]

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3 years ago

If cos x= sin(20 + x)° and 0° < x < 90°, what is the value of x

ZanzabumX [31]

If cos x= sin(20 + x)° and 0° < x < 90° then value of x is 35 degrees

<em><u>Solution:</u></em>

Given that:

$cos x= sin (20 + x)$

We know that,

$sin (a+b)=sin a \times cos b+cos a \times sin b$

$cos x= sin (20 + x) = sin 20 cos x + cos 20 sin x$

$cos x-sin20 \times cos x=cos 20 \times sin x$

Taking cos x as common,

$cos x(1-sin 20)=cos 20 \times sin x$

$\frac{(1-sin 20)}{(cos 20)}=\frac{sin x}{cos x }\\\\tan x = \frac{(1-sin 20)}{(cos 20)}$

By trignometric functions,

sin 20 = 0.34202

cos 20 = 0.939692

So,

$tan x = \frac{1 - 0.34202}{0.939692}\\\\tan x = 0.7002$

Therefore,

x = arc tan (0.7002)

x = 35 degrees

Therefore value of x is 35 degrees

<h3><u>Method 2:</u></h3>

cos x = sin (20 + x)

sin and cos are co - functions, which means that:

cos x = cos [90 - (20 + x)]

cos x = cos (90 - 20 - x)

cos x = cos (70 - x)

Therefore, x = 70 - x

x + x = 70

2x = 70

x = 35

Therefore value of x is 35 degrees

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3 years ago

What is the constant rate of proportionality in the equation, y=3.5x

Tcecarenko [31]

The constant rate is 3.5

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3 years ago

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