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Blababa
11 days ago
12

Which represents the reflection of f(x)= square root x over the x-axis?

Mathematics
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If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)
lawyer [12517]

Response:

\frac{f}{g}(5) = 270 ⇒ Previous solution

Detailed breakdown:

* Given f(x) = 7 + 4x

* Given g(x) = \frac{1}{2x}

* We aim to determine \frac{f}{g}(5)

- Initially, let’s calculate \frac{f}{g}(x)

∵ f(x) = 7 + 4x

∵ g(x) = \frac{1}{2x}

∴ \frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}

- Let’s perform division of the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is \frac{1}{2x}

∴ (7 + 4x) ÷ \frac{1}{2x}

- Now we will change the division sign to a multiplication sign and take the reciprocal of

the fraction following the division sign

∴ (7 + 4x) × \frac{2x}{1}

∴ \frac{f}{g}(x) = 2x(7 + 4x)

∴ \frac{f}{g}(x) = 14x + 8x²

- Next, substitute x with 5

∴ \frac{f}{g}(5) = 14(5) + 8(5)² = 70 + 200 = 270

∴ \frac{f}{g}(5) = 270

4 0
1 month ago
Read 2 more answers
Part 1: Graph piecewise functions from tables and equations. Isabel sells new and used mystery novels online. Her customers are
Inessa [12570]
A) The cost to send a package that weighs 3.2 pounds is $4.13. Since this weight exceeds 3 pounds but remains below 4 pounds, we have to refer to the pricing that applies to 4-pound packages (see the attached document for pricing details).

b) To illustrate the Media Mail shipping costs based on the weight of the books, a line graph is appropriate. In this graph, the weight in pounds is represented on the x-axis and the shipping costs on the y-axis.

c) The graph depicting the Media Mail shipping costs as a function of book weight will be represented by the equation: f(x) = 2.69 + 0.48(x-1)

7 0
2 months ago
At a certain company, loan agents are paid based on the number of loans they close in a day. Based on company records, the numbe
Zina [12379]

Answer:

C. The mean daily salary is not above $350 per day

Step-by-step explanation:

The calculation is displayed below:

Y = a + bX

where,

Y = earnings of a randomly chosen agent

a = $150

b = $50

X = number of loans closed

Now

E(x) = (1 × 0.05) + (2 × 0.10) + (3 × 0.22) + (4 × 0.30) + (5 × 0.18) + (6 × 0.12) + (7 × 0.03)

= 3.94

Consequently,

E(y) = $150 + ($50 × 3.94)

= $347

therefore, option C is incorrect

4 0
2 months ago
Read 2 more answers
Which procedures are examples of Descartes’s rules for scientific reasoning? Check all that apply.
Inessa [12570]
-keeping a thorough record of the steps and outcomes of a scientific experiment; -conducting an experiment to examine the impacts of gravity on Earth; -solving an expression in stages by adhering to the order of operations.
7 0
1 month ago
Read 2 more answers
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