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2 years ago

If f(x) = 3a|4x - 4| - ax, where a is some constant not equal to zero, find f '(1)

2 answers:

7 0

The slope of an absolute function at the point where it evaluates to zero is undefined.
Here, when x=1, so |4x-4|=|4-4|=|0|, the slope is undefined. This is where the vertex of the "V" on the graph of the absolute value function.

hammer [34]2 years ago

3 0

Answer:

Differential does not exist.

Step-by-step explanation:

given function,

f(x) = 3 a|4 x - 4| - ax

opening the function

f(x) = 3 a(4 x - 4) - ax and f(x) = - 3 a(4 x - 4) - ax

f'(x) = 12 a - a and f(x) = -12 a - a

f'(x) = 11 a and f(x) = -13 a

f'(1⁺) = 11 a and f(1⁻) = -13 a

hence,

f'(1⁺) ≠ f(1⁻)
so, Differential does not exist.

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Solve the proportional<br> equation below:<br> x/4 = x-6/3

aleksandrvk [35]

<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

$\boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}$

$\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}$ ‏‏‎ ‏‏‎‎ $\mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}$ ‏‏‎‎

$\boxed{\mathsf{3x = 4(x - 6)}}$

Apply the distributive property:

$\mathsf{3x = 4(x-6)}$

$\mathsf{3x = 4(x) - 4(6)}$

$\mathsf{3x = 4x - 24}$

Add 24 to both sides:

$\mathsf{3x + 24 = 4x - 24 + 24}$

$\mathsf{3x + 24 = 4x}$

Substract 3x to both sides

$\mathsf{3x - 3x + 24 = 4x - 3x}$

$\mathsf{24 = 4x - 3x}$

$\large{\boxed{\mathsf{24 = x}}}$

‎ ‏‏‎

<h3><u>Answer</u>. The value of x = 24.</h3>

‎ ‏‏‎

8 0

2 years ago

Help pls ASAP <br> SOLVING QUADRATIC EQUATIONS BY FACTORING

DIA [1.3K]

Answer:

Down, Down, Right, Right, diagonal left, up, right

Step-by-step explanation:

Not gonna do every equation here tho lol

7 0

2 years ago

ANSWER ASAP

Brums [2.3K]

Answer:

y = 2x + 3
y = -6x
y = -x + 2
y = 2x - 7

Step-by-step explanation:

<u>Slope-intercept form:</u>

y = mx + b

<em>Hint. if we have x = 0, then the y-coordinate is the same as b</em>

<u>Slope</u>

m = (y2 - y1)/(x2-x1)

33.

m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
b = 3 as per table (0, 3)

y = 2x + 3

34.

m = (0-12)/(0 - (-2)) = -12/2 = -6
b = 0, as per table (0, 0)

y = -6x

35.

m = (2 - (-2))/(0 - 4) = 4/-4 = -1
b = 2, as per table (0, 2)

y = -x + 2

36.

m = (-5 - (-1))/ (1 -3) = -4/-2 = 2

Using point (3, -1)

-1 = 2*3 + b
b= -1 - 6= - 7

y = 2x - 7

8 0

2 years ago

Geometry math question please help

Pie

Line BE and KE are the same length, so set the 2 equations to equal and solve for P.

7p+7 = 37-3p

Add 3 p to both sides:

10p +7 = 37

Subtract 7 from each side:

10p = 30

Divide both sides by 10:

p = 30/10

p = 3

The answer is B.

8 0

2 years ago

Read 2 more answers

There are 12 peaches and 8 bananas in a fruit basket. You get a snack for yourself and three of your friends by choosing of the

muminat

Answer:

10.2% chance

Step-by-step explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

$\frac{12}{20} * \frac{11}{19} * \frac{10}{18} * \frac{9}{17}$ = $\frac{11880}{116,280}$ = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.

6 0

2 years ago