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kirill [66]
3 years ago
10

Help me with these 3 and explain too thank you :))

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

f(g(1)) = 42

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The correct answer is option b which is the break-even quantity will be 20217 units.

<h3>What is the break-even point?</h3>

The point at which the company will not have any profit and loss on the products they manufactured they only get the amount they invested in manufacturing the product is called the break-even point.

Given that:-

If fixed costs are $281,000, the unit selling price is $33, and the unit variable costs are $21, the break-even sales (units) if fixed costs are reduced by $38,400.

The formula for calculating break-even quantity will be given as:-

BEQ = \dfrac{FC}{SP-VC}

Here,

FC = Fixed cost = $281000

SP = Selling price = $33

VC = Variable cost = $21

The fixed cost is reduced by $38400 so the fixed cost now:-

FC = $281000 - $38400

FC = $242600

BEQ = \dfrac{242600}{33-21}

BEQ = 20217 units

Therefore the correct answer is option b which is the break-even quantity will be 20217 units.

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2 years ago
How do you imagine that you will use statistics in your Pharmacy Technician career?
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Answer:

On the job, you'll use math concepts such as percentages, algebra, ratios and fractions to measure out medication, fill prescriptions and keep tabs on the pharmacy's inventory. It's important for you to understand math concepts in several measurement systems so customers get the correct amount of medication needed.

Step-by-step explanation:

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Nadya [2.5K]

Draw the DE ray away from the BAC angle is the next step to copy the BAC angle

<h3>Further explanation </h3>

Angles can be formed from two ray lines that have the same starting point

Commonly used terms include foot angle, corner point, and angle size

The magnitude of the angle is usually expressed in degrees

Naming angles can be with one letter according to the vertex or with three letters with the vertex placed between two other letters

There are several steps used to copy the BAC angle:

  • 1. Draw the DE line
  • 2. Draw a circle using the circle tool with center A. The circle will intersect the lines BA and BC at points F and G
  • 3. Use the segment tool to create a segment from the circle radius that has been created
  • 4. Use the Compass tool and select the segment from the AG radius
  • 5. Make a circle with center point D, with the same radius as AG
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A survey of 600 randomly selected employees in Company X found that 150 of them completed web analytics training. If there were
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Answer:

The approximate number of employees who completed web analytics training are 245 .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

A survey of 600 randomly selected employees in Company X found that 150 of them completed web analytics training.

Part value = 150

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Putting in the above formula

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Thus this shows that 150 employees who completed web analytics training from 600 employees are 25% .

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If there were 980 employees in the company .

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