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Norma-Jean [14]

3 years ago

7

What is the rate of change for f(x) = 4 sin x − 2 on the interval from x = 0 to x = pi over 2? pi over 4 4 over pi pi over 8 8 o

ver pi

1 answer:

MaRussiya [10]3 years ago

3 0

Hello,
f(π/2)=4*sin(π/2)-2=4*1-2=2
f(0)=4*sin(0)-2=0-2=-2

rate=(2+2)/(π/2-0)=8/π
Answer D

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Function Composition:<br> Let the function <img src="https://tex.z-dn.net/?f=f%28x%29%3D%203%2B6x" id="TexFormula1" title="f(x)=

V125BC [204]

Answer:

<u>Given </u>

f(x) = 3 + 6x

A

<u>Find the inverse of f(x):</u>

x = 3 + 6f⁻¹(x)
6f⁻¹(x) = x - 3
f⁻¹(x) = (x - 3) / 6

B

f · f⁻¹( ∛5/6) =
f( f⁻¹( ∛5/6)) =
f((∛5/6 - 3)/6) =
3 + 6((∛5/6 - 3)/6) =
3 + ∛5/6 - 3 =
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C

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4 0

3 years ago

Anna has leaned a ladder against the side of her house. If the ladder forms a 72º angle with the ground and rests against the ho

LuckyWell [14K]

Answer:

(A) 2 meter

Step-by-step explanation:

It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.

Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have

$\frac{CB}{AB}=tan72^{\circ}$

$\frac{6}{x}=tan72^{\circ}$

$\frac{6}{x}=3.077$

$x=\frac{6}{3.077}$

$x=1.94$

$x$ ≈ $2m$

Thus, option A is correct.

6 0

3 years ago

Read 2 more answers

What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

so

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

5 0

3 years ago

****ASAP*****<br> can someone pls help me with this? and can you describe it please?

Studentka2010 [4]

Add 165 to 245. That is a total of 410kWh.

245kWh is more than 50% of 410kWh.

So, according to the plan, you will pay NightTimer rate for kWh at night and DayTimer rate during the day.

The work done:

$(165*0.05281)+(245*0.05456)\\8.71365+13.3674=22.08085$

The raw, accurate, answer is that the value to pay is $22.08085.

In real terms, it is closer to your $22.08 option. That is the one I'd take.

5 0

4 years ago

Solve the system of equations.<br> 3x 2 y = 2<br> x+7y=4

lions [1.4K]

4/7 the question is relative

8 0

3 years ago