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hammer [34]
3 years ago
7

Can you solve this pls 5(x – 4) + 3x – 9x = 6 – (2x + 5) + 8x show step by step pls

Mathematics
2 answers:
maxonik [38]3 years ago
6 0

Answer: x=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(x−4)+3x−9x=6−(2x+5)+8x

(5)(x)+(5)(−4)+3x+−9x=6+−2x+−5+8x(Distribute)

5x+−20+3x+−9x=6+−2x+−5+8x

(5x+3x+−9x)+(−20)=(−2x+8x)+(6+−5)(Combine Like Terms)

−x+−20=6x+1

−x−20=6x+1

Step 2: Subtract 6x from both sides.

−x−20−6x=6x+1−6x

−7x−20=1

Step 3: Add 20 to both sides.

−7x−20+20=1+20

−7x=21

Step 4: Divide both sides by -7.

−7x over -7

        =

21 over -7

x=−3

katen-ka-za [31]3 years ago
5 0

Answer: x= -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(x−4)+3x−9x=6−(2x+5)+8x

(5)(x)+(5)(−4)+3x+−9x=6+−2x+−5+8x(Distribute)

5x+−20+3x+−9x=6+−2x+−5+8x

(5x+3x+−9x)+(−20)=(−2x+8x)+(6+−5)(Combine Like Terms)

−x+−20=6x+1

−x−20=6x+1

Step 2: Subtract 6x from both sides.

−x−20−6x=6x+1−6x

−7x−20=1

Step 3: Add 20 to both sides.

−7x−20+20=1+20

−7x=21

Step 4: Divide both sides by -7.

−7x

−7

=

21

−7

x=−3

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5 0
3 years ago
On a map, the distance from Happy Hill Park to Rainbow Valley Park is 4/1/2 inches. The scale is 1/2 inch: 3 miles. What is the
Studentka2010 [4]

we are given

The scale is

\frac{1}{2} inch=3miles

the distance from Happy Hill Park to Rainbow Valley Park is 4 1/2 inches

we can change it into rational form

and we get

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so, we can multiply both sides by 9

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3 years ago
Please explain this problem!!!​
9966 [12]

tis a little of plain differentiation.

we know the radius of the cone is decreasing at 10 mtr/mins, or namely dr/dt = -10, decreasing, meaning is negative.

we know the volume is decreasing at a rate of 1346 mtr/mins or namely dV/dt = -1346, also negative.

so, when h = 9 and V = 307, what is dh/dt in essence.

we'll be needing the "r" value at that instant, so let's get it

V=\cfrac{1}{3}\pi r^2 h\implies 307=\cfrac{\pi }{3}r^2(9)\implies \sqrt{\cfrac{307}{3\pi }}=r

now let's get the derivative of the volume of the cone

V=\cfrac{1}{3}\pi r^2 h\implies \cfrac{dV}{dt}=\cfrac{\pi }{3}\stackrel{product~rule}{ \left[ \underset{chain~rule}{2r\cdot \cfrac{dr}{dt}}\cdot h+r^2\cdot \cfrac{dh}{dt} \right]} \\\\\\ -1346=\cfrac{\pi }{3}\left[2\sqrt{\cfrac{307}{3\pi }}(-10)(9)~~+ ~~ \cfrac{307}{3\pi } \cdot \cfrac{dh}{dt}\right]

-\cfrac{4038}{\pi }=-\cfrac{180\sqrt{307}}{\sqrt{3\pi }}+\cfrac{307}{3\pi } \cdot \cfrac{dh}{dt}\implies \left[ -\cfrac{4038}{\pi }+\cfrac{180\sqrt{307}}{\sqrt{3\pi }} \right]\cfrac{3\pi }{307}=\cfrac{dh}{dt} \\\\\\ -\cfrac{12114}{307}+\cfrac{180\sqrt{3\pi }}{\sqrt{307}}=\cfrac{dh}{dt}\implies -7.920939735970634 \approx \cfrac{dh}{dt}

5 0
2 years ago
Find the indefinite integral. (Use C for the constant of integration.) <br> e2x 25 e4x dx.
Sladkaya [172]

Answer:

The solution is  \frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

Step-by-step explanation:

From the question

    The function given is  f(x) =  \frac{e^{2x}}{ 25 + e^{4x}} dx

The  indefinite integral is  mathematically represented as

          \int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx

Now  let  e^{2x} =  u

=>   \frac{du}{dx} 2e^{2x}

=>   2 e^{2x}dx =  du

So

\int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx =  \int\limits  {\frac{1}{ 2(25 + u^2)} } \, du

= \frac{1}{2} \int\limits  {\frac{1}{ 25 + u^2)} } \, du

=  \frac{1}{2} \int\limits  {\frac{1}{ 5^2 + u^2)} } \, du

= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5}  +  C

Now substituting for  u

\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

3 0
3 years ago
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