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melamori03 [73]
4 years ago
9

HELP ME PLEASE!!slove:3x = - 2/3 x - 2/9​

Mathematics
1 answer:
Leya [2.2K]4 years ago
5 0

Answer:

x= -2/33

Step-by-step explanation:

let me know if it is right

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Consider the following function. f(x) = 16 − x2/3 Find f(−64) and f(64). f(−64) = f(64) = Find all values c in (−64, 64) such th
VARVARA [1.3K]

Answer:

This does not contradict Rolle's Theorem, since f '(0) = 0, and 0 is in the interval (−64, 64).

Step-by-step explanation:

The given function is

f(x)=16-\frac{x^2}{3}

To find f(-64), we substitute x=-64 into the function.

f(-64)=16-\frac{(-64)^2}{3}

f(-64)=16-\frac{4096}{3}

f(-64)=-\frac{4048}{3}

To find f(64), we substitute x=64 into the function.

f(64)=16-\frac{(64)^2}{3}

f(64)=16-\frac{4096}{3}

f(64)=-\frac{4048}{3}

To find f'(c), we must first find f'(x).

f'(x)=-\frac{2x}{3}

This implies that;

f'(c)=-\frac{2c}{3}

f'(c)=0

\Rightarrow -\frac{2c}{3}=0

\Rightarrow -\frac{2c}{3}\times -\frac{3}{2}=0\times -\frac{3}{2}

c=0

For this function to satisfy the Rolle's Theorem;

It must be continuous on [-64,64].

It must be differentiable  on (-64,64).

and

f(-64)=f(64).

All the hypotheses are met, hence this does not contradict Rolle's Theorem, since f '(0) = 0, and 0 is in the interval (−64, 64) is the correct choice.

6 0
3 years ago
Read 2 more answers
an angles measure is 6 degrees more than 3 times the measure of its complwment. find the measure of the angles.
irina1246 [14]

Answer:

The angles are 22.5 and 67.5.

Step-by-step explanation:

A complement is the angle that when added to the given angle gives 90 degrees.

Therefore, the angle x is 3 times larger than its complement.

This means that x is 3/4 of 90 degrees and complement is 1/4 of 90 degrees.

Therefore, the angles are 22.5 and 67.5.

3 0
3 years ago
What is the x-intercept of 5y=10-4x
Advocard [28]
The x intercept is 2.5
5 0
3 years ago
Read 2 more answers
Hlol can u plz solve b no plz plz.....I will mark as brainliest​
zimovet [89]

Answer:

Step-by-step explanation:

Tan \ B =\frac{4}{3} = \frac{opposite \ side \ of B}{adjacent \ side \ of B}

BC = 15 cm

3x = 15

x = 15/3 = 5

AB =4x = 4*5 = 20 cm

Pythagorean theorem,

AC² = AB² + BC²

       = 20²  + 15 ²

       = 400 + 225

       = 625

AC = √625 = 25 cm

AC = 25 cm

Sin \ A = \frac{opposite  \ side \ of \ angle A }{hypotenuse}\\\\  = \frac{BC}{AB}=\frac{15}{25}=\frac{3}{5}

6 0
3 years ago
Find the volume. 11 yd 5 yd 6 yd​
azamat
Formula: l•w•h

Answer: 330 yd

Hope that helps :)
3 0
3 years ago
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