All categories

4 years ago

The functions f(x) and g(x) are defined below.

Mathematics

2 answers:

Georgia [21]4 years ago

5 0

<h3>Answer:</h3>

none of the above

<h3>Step-by-step explanation:</h3>

This question wants you to see that the radical can be simplified because it is ...

$f(x)=\sqrt{(x+6)^2}$

The answer choices show you are expected to simplify this to ...

... f(x) = x +6

Then

... f(x)·g(x) = (x+6)(x³ -12) = x⁴ +6x³ -12x -72 . . . . . matches choice C

_____

However,

... f(x) = |x+6| . . . . . . . √(x^2) = |x|, the positive root regardless of sign of x

so the product f(x)·g(x) only matches selection C for x≥ -6. It matches the opposite of selection C for x ≤ -6.

The attached graph shows this. It graphs f(x), g(x), f(x)·g(x) (as a purple curve), and selection C (as orange dots).

SCORPION-xisa [38]4 years ago

4 0

Answer:

The answer is C. $x^{4}+6x^{3} -12x-72$

Step-by-step explanation:

Just took the test on Plato

#PlatoLivesMatter

#YeetLife

You might be interested in

12 pack for $3.50

vlada-n [284]

The savings per unit between the best deal and worst deal is about $0.06

$\texttt{ }$

<h3>Further explanation</h3>

Let's learn about the basic formula about Profit and Loss

$\texttt{Profit = Selling Price - Cost Price}$

$\texttt{Selling Price = Cost Price ( 100\% + Profit\% )}$

$\texttt{Loss = Cost Price - Selling Price}$

$\texttt{Selling Price = Cost Price ( 100\% - Loss\% )}$

<em>Let us tackle the problem !</em>

$\texttt{ }$

<em>12 pack for $3.50 → 144 pack for </em> $\$ 3.50 \times \frac{144}{12} = \$ 42$

<em>24 pack for $6.00 → 144 pack for </em> $\$ 6.00 \times \frac{144}{24} = \$ 36$

<em>36 pack for $8.50 → 144 pack for </em> $\$ 8.50 \times \frac{144}{36} = \$ 34$

<em>48 pack for $11.75 → 144 pack for </em> $\$ 11.75 \times \frac{144}{48} = \$ 35.25$

$\texttt{ }$

<em>From information above, we can conclude that:</em>

The Best Deal → 36 pack for $8.50

The Worst Deal → 12 pack for $3.50

$\texttt{ }$

<em>The savings per unit between the best deal and worst deal :</em>

$( \$ 3.50 \div 12 ) - ( \$ 8.50 \div 36 ) = \$ (\frac{1}{18}) \approx \boxed {\$ 0.06}$

$\texttt{ }$

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576
Student's Shirt : brainly.com/question/909783

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces

8 0

3 years ago

A salad dressing recipe includes 4/5 cup of lime juice for every 2 cups of Greek yogurt what is the rate in cups of lime juice p

Artemon [7]

Step-by-step explanation:

In this problem, we need o find the rate in cups of lime juice per cup of yogurt.

It is given that, a salad dressing recipe includes 4/5 cup of lime juice for every 2 cups of Greek yogurt. Its rate is given by :

$R=\dfrac{\dfrac{4}{5}\ \text{cups of lime juice}}{2\ \text{cups}}\\\\R=\dfrac{4}{5}\times 2\\\\R=\dfrac{8}{5}\ \text{cups of lime juice per cup}$

Hence, the rate is 8/5 cups of lime juice per cup.

8 0

4 years ago

Read 2 more answers

Write the standard equation for the circle 30. Center (2,7), r=4. 31. Center (-6,-8), that passes treough (0,0)

Salsk061 [2.6K]

The standard equation of the circle is:

(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...

so

30.

(x-2)^2+(y-7)^2=16

31.

We need to find the radius...(I'll just use the Pythagorean Theorem)

r^2=6^2+8^2

r^2=36+64

r^2=100 (so the radius is 10) and its center is (-6,-8) so

(x+6)^2+(y+8)^2=100

3 0

4 years ago

Four less than the product of 2 and a number is the same as negative eightteen. Find the number

dolphi86 [110]

Answer:

Step-by-step explanation:

4-2x=-18

-4 -4

-2x=-24

-2 -2

x=12

6 0

3 years ago

The Plains Native Americans lived along the Gulf of Mexico. Please select the best answer from the choices provided T F

Effectus [21]

Answer:

False

Step-by-step explanation:

The Gulfs Live by the gulf of Mexico

5 0

3 years ago