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3 years ago

The sum of a number times 9 and 21 is at most -25.

Mathematics

1 answer:

madreJ [45]3 years ago

4 0

Answer:

x>= -46/9 (x greater than or equal to -46/9)

Step-by-step explanation:

when translating the question, at most means that it is less than or equal to the value being named, therefore the equation is 9x+21<= -25

to begin solving we subtract 21 from both sides and get 9x<=-46

then when we divide by 9 we have to flip the less than sign because we have to flip it if we multiply or divide.

This gives us the answer, x>=-46/9 which does not simplify any further

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On the first day it was posted online, a music video got 390 views. The number of

aleksley [76]

Answer:

The answer is 7212 views

Step-by-step explanation:

<h3><u>Given</u>;</h3>

A music video got 390 views.
The number of views that the video got each day increased by 30% per day.

Total views did the video get over the course of the first 13 days

So, For the first day the number of views is 390

Second Day

30% increased of total views

390 × 30 ÷ 100 = 11.7 = 12

390 + 12 = 402

Third Day

30% increased of total views

402 × 30 ÷ 100 = 120.6 = 121

402 + 121 = 523

Fourth Day

30% increased of total views

523 × 30 ÷ 100 = 156.9 = 157

523 + 157 = 680

Fifth Day

30% increased of total views

680 × 30 ÷ 100 = 204

680 + 204 = 884

Sixth Day

30% increased of total views

884 × 30 ÷ 100 = 265.2 = 265

884 + 265 = 1149

Seventh Day

30% increased of total views

1149 × 30 ÷ 100 = 344.7 = 345

1149 + 345 = 1494

Eight Day

30% increased of total views

1494 × 30 ÷ 100 = 448.2 = 448

1494 + 448 = 1942

Ninth Day

30% increased of total views

1942 × 30 ÷ 100 = 582.6 = 583

1942 + 583 = 2525

Tenth Day

30% increased of total views

2525 × 30 ÷ 100 = 757.5 = 758

2525 + 758 = 3283

Eleventh Day

30% increased of total views

3283 × 30 ÷ 100 = 984.9 = 985

3283 + 985 = 4268

Twelth Day

30% increased of total views

4268 × 30 ÷ 100 = 1280.4 = 1280

4268 + 1280 = 5548

Thirteenth Day

30% increased of total views

5548 × 30 ÷ 100 = 1664.4 = 1664

5548 + 1664 = 7212

Thus, Total views did the video get over the course of the first 13 days is 7212 Views.

<u>-TheUnknownScientist 72</u>

6 0

3 years ago

What fraction of a circle is 80°?

Liono4ka [1.6K]

Answer:

2/9

Step-by-step explanation:

Simplify 80°/360°

4 0

3 years ago

Read 2 more answers

Consider the function g defined by g(x) = x(10 – Ax), A > 0. voer g in Without doing any iterations, determine the non-zero f

notka56 [123]

Answer:

The only non-zero fixed point is: x = 9/A.

The Step-by-step explanation:

A fixed point of a function is a points that is mapped to itself by the function; g(x) = x. Therefore, in order to find the fixed point of the given function we need to solve the following equation:

g(x) = x

x(10 - Ax) = x

10x - Ax² = x

10x - x -Ax² = 0

9x - Ax² = 0

Ax² - 9x = 0

The solutions of this second order equation are:

x = 0 and x = 9/A.

Since we are only asked for the non-zero fixed points, the solution is: 9/A.

7 0

3 years ago

Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217

Soloha48 [4]

Answer:

$f(216) \approx 6.0093$

Step-by-step explanation:

Given

$\sqrt[3]{217}$

Required

Solve

Linear approximated as:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

Take:

$x = 216; \triangle x= 1$

So:

$f(x) = \sqrt[3]{x}$

Substitute 216 for x

$f(x) = \sqrt[3]{216}$

$f(x) = 6$

So, we have:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

$f(215 + 1) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot f'(x)$

To calculate f'(x);

We have:

$f(x) = \sqrt[3]{x}$

Rewrite as:

$f(x) = x^\frac{1}{3}$

Differentiate

$f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}$

Split

$f'(x) = \frac{1}{3} \cdot \frac{x^\frac{1}{3}}{x}$

$f'(x) = \frac{x^\frac{1}{3}}{3x}$

Substitute 216 for x

$f'(216) = \frac{216^\frac{1}{3}}{3*216}$

$f'(216) = \frac{6}{648}$

$f'(216) = \frac{3}{324}$

So:

$f(216) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot \frac{3}{324}$

$f(216) \approx 6 + \frac{3}{324}$

$f(216) \approx 6 + 0.0093$

$f(216) \approx 6.0093$

6 0

3 years ago

Sarah starts with $375 in her savings account. After getting a part-time job, she deposits $90 every week. Write an equation sho

Valentin [98]

Answer:

y = 375 + 90x is the equation

4 0

3 years ago