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2 years ago

-7x-8=x-8(1-5x) Help me please

Mathematics

1 answer:

Darina [25.2K]2 years ago

3 0

Answer:

The answer is x = 0

Step-by-step explanation:

-7x - 8 = x - 8(1-5x)

Simplify and FOIL.

-7x - 8 = x - 8 + 40x

-7x - 8 = 41x - 8

Add 7x to both sides.

-8 = 48x - 8

Add 8 to both sides.

0 = 48x

x can only be 0 to multiply it by any other number and get 0.

x = 0

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At the Canada Open Tennis Championship, a statistician keeps track of every serve that a player hits during the tournament. The

kondaur [170]

Answer:

a) 54 mph to 144 mph

Step-by-step explanation:

We don't know the shape of the distribution, so we use Chebyshev's Theorem to solve this question. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

At least eight-ninths of the player's serves.

8/9 is approximately 89%

Mean: 99, standard deviation: 15

99 - 3*15 = 54

99 + 3*15 = 144

So the correct answer is:

a) 54 mph to 144 mph

8 0

3 years ago

Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

$f(x)=2x+\sin (4x)$

Now on differentiating both side with respect to x we get that:

$f'(x)=2+4 \cos (4x)$

When $f'(x)=0$

this means that $2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}$

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval $[0,\pi]$ .

also we know that $\cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}$ ----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

$4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}$

Hence, the x-coordinates where $f'(x)=0$ for $f(x)=2x+\sin(4x)$ is $\dfrac{\pi}{6}$ .

5 0

3 years ago

Edward can run 1/2 mile in 300 seconds what is edwards unit rate

Vilka [71]

Rate/ speed = distance / time;
= 1/2mile / 300 seconds;
= 0.001666666..... mile/second

7 0

3 years ago

Solve the equations for y.<br> 1) x+y=2<br> 2) 4x+2y=8<br> 3) y-3=0

umka21 [38]

Answer:

Y=3

Step-by-step explanation:

-1= 1/2

1/2=-1

x=-1

y=3

Hope this helps!

5 0

2 years ago

Solve the equation. Round to the nearest hundredth. Show work.

Burka [1]

Answer:

$x=-0.75$

Step-by-step explanation:

The given equation is

$4^{-5x-7}=6^{2x-1}$

We take logarithm of both sides to base 10.

$\log(4^{-5x-7})=\log(6^{2x-1})$

$(-5x-7)\log(4)=(2x-1)\log(6)$

We expand the brackets to get;

$-5x\log(4)-7\log(4)=2x\log(6)-\log(6)$

Group similar terms;

$-7\log(4)+\log(6)=2x\log(6)+5x\log(4)$

$-7\log(4)+\log(6)=(2\log(6)+5\log(4))x$

$\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x$

$x=-0.752478$

To the nearest hundredth.

$x=-0.75$

3 0

3 years ago