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2 years ago

15

ALL THE POINTS!! (01.01 LC) What is the rational number equivalent to 3 point 12 with a bar over 12? (1 point) 3 and 4 over 33 3

and 8 over 33 3 and 10 over 39 3 and 5 over 39

2 answers:

saul85 [17]2 years ago

6 0

Answer:

A is the answer

Step-by-step explanation:

Whitepunk [10]2 years ago

6 0

Answer:

the answer is (A) dont forget to press the crown:)

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Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to

nikklg [1K]

Answer:

Part 1)

See Below.

Part 2)

$\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)$

Step-by-step explanation:

Part 1)

The linear approximation <em>L</em> for a function <em>f</em> at the point <em>x</em> = <em>a</em> is given by:

$\displaystyle L \approx f'(a)(x-a) + f(a)$

We want to verify that the expression:

$1-36x$

Is the linear approximation for the function:

$\displaystyle f(x) = \frac{1}{(1+9x)^4}$

At <em>x</em> = 0.

So, find f'(x). We can use the chain rule:

$\displaystyle f'(x) = -4(1+9x)^{-4-1}\cdot (9)$

Simplify. Hence:

$\displaystyle f'(x) = -\frac{36}{(1+9x)^{5}}$

Then the slope of the linear approximation at <em>x</em> = 0 will be:

$\displaystyle f'(1) = -\frac{36}{(1+9(0))^5} = -36$

And the value of the function at <em>x</em> = 0 is:

$\displaystyle f(0) = \frac{1}{(1+9(0))^4} = 1$

Thus, the linear approximation will be:

$\displaystyle L = (-36)(x-(0)) + 1 = 1 - 36x$

Hence verified.

Part B)

We want to determine the values of <em>x</em> for which the linear approximation <em>L</em> is accurate to within 0.1.

In other words:

$\displaystyle \left| f(x) - L(x) \right | \leq 0.1$

By definition:

$\displaystyle -0.1\leq f(x) - L(x) \leq 0.1$

Therefore:

$\displaystyle -0.1 \leq \left(\frac{1}{(1+9x)^4} \right) - (1-36x) \leq 0.1$

We can solve this by using a graphing calculator. Please refer to the graph shown below.

We can see that the inequality is true (i.e. the graph is between <em>y</em> = 0.1 and <em>y</em> = -0.1) for <em>x</em> values between -0.179 and -0.178 as well as -0.010 and 0.012.

In interval notation:

$\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)$

4 0

2 years ago

Select the correct answer. Tanya distributes pencils to students in her class for an upcoming test. The number of pencils she ha

aliina [53]

Answer:

D.

Step-by-step explanation:

p=3s

p=3(16)

p=48 pencils

8 0

2 years ago

Evaluate3|2+5|+2|3−2|+ 43; = −1

Stels [109]

Answer:

yes

Step-by-step explanation:

what you did ias correrct

7 0

2 years ago

Solve the simultaneous equation 3a+4c= 67 5a+6c= 106

Alinara [238K]

3a+4c=67
5a+6c=106

9a+12c=201
10a+12c=212

-a=-11
a=11

33+4c=67
4c=34
c=8.5

A=11; C=8.5

8 0

1 year ago

Suppose the distributor charges the artist a $40.00 cost for distribution, and the streaming services pays $4.00 per unit. (Note

denpristay [2]

Given :

Suppose the distributor charges the artist a $40.00 cost for distribution, and the streaming services pays $4.00 per unit

Step-by-step explanation:

Cost of distribution is the fixed cost . y intercept is the fixed cost.

Distributor charge is 40. So y intercept = 40

Payment per unit is the slope that is 4 per unit.

slope =4

Slope intercept form is $y=mx+b$

Where m is the slope and b is the y intercept.

y intercept b=40. and slope m=4

So the equation of the line is $y=4x+40$

The graph of the line is included below

To find the number of streams that pay for distributor charges , we set

the equation equal to 0 and solve for x

$4x+40=0\\4x=-40\\divide by 4\\x=-10$

10 streams you pay for distributor charges.

Given profit is 750,000. so y=750,000

We need to find out x the number of streams

$y=4x+40\\750000=4x+40\\\\Subtract 40\\divide 4\\x=187,490$

we know that 1 unit = one thousand streams

so , Approximately 187 streams

Answer:

y intercept = 40

slope =4

y=4x+40

10 streams you pay for distributor charges.

187 streams to get profit $750,000

5 0

2 years ago