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3 years ago

2(4x - 1) + 3(3 - 2x) = 0

1 answer:

3 0

2(4x-1) + 3(3-2x)=0
distribute
8x-2+9-6x=0
add like terms
2x+7=0
subtract 7 from both sides
2x= -7
divide both sides by 2
x=-7/2

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Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = −sin x, [0,

deff fn [24]

Answer with Step-by-step explanation:

We are given that

$f(x)=-sin x$

$[0,\infty]$ ]

Average value of the function is given gy

$f_{avg}=\frac{1}{b-a}\int_{a}^{b}f(x)dx=\frac{1}{\pi-0}\int_{0}^{\pi}-sinx dx$

$f_{avg}=\frac{1}{\pi}[cosx]^{\pi}_{0}$

Using the formula

$\int sin xdx=-cos x$

$f_{avg}=\frac{1}{\pi}(cos\pi-cos0)$

$f_{avg}=\frac{1}{\pi}(-1-1)=-\frac{2}{\pi}$

$f(x)=f_{avg}$

$-sinx=-\frac{2}{\pi}$

$sinx=\frac{2}{\pi}$

$x=sin^{-1}(\frac{2}{\pi})=0.69radian$

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2 years ago

Is 4/11 a repeating decimal or Terminating

4vir4ik [10]

The answer to your question is : terminating

6 0

3 years ago

3(x+2)=2(2-x) pre algebra

azamat

Answer:

x=-2

Step-by-step explanation:

distribute on both sides

3x+6=4-2x

subtract 2x

5x+6=4

Subtract 6

5x=-10

divide 5 from the x

x=-2

8 0

3 years ago

A wooden flagpole is 25 foot tall. In a storm, the flagpole is broken and its top touches the ground 5 foot from the base. Find

Mumz [18]

Answer: x = 12 ft

Step-by-step explanation:

let the erect part of the pole be x

the slanted part of the pole will be 25-x

the ground distance = 5

they form a right triangle

apply Pythagoras theorem

5^2+x^2=(25-x)^2

25+x^2=x^2 - 50x + 625

50x=625-25

50x=600

x=600/50

x=12 feet

6 0

3 years ago

Find the slope and y-intercept

Liono4ka [1.6K]

Answer:

1/2 and -1

Step-by-step explanation:

Rise = 2-1 = 1

corresponding Run = 6 -4 =2

rise/run = 1/2 = slope

So we know that when x=0 we will find the y intercept/

put them in ordered pair you will find

(6,2)

(4,1)

the next one should be (2,0)

and (0,-1)

So the y intercept is -1

3 0

2 years ago

Read 2 more answers