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Tems11 [23]
3 years ago
11

For each function below, find its domain and then determine if the function increasing, decreasing, or constant on each piece of

the domain.
f(r)=5r^2−4
The interval on which the function is increasing is : ( , )
The interval on which the function is decreasing is : ( , )
The interval on which the function is constant is : ( , )
Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

Domain:  all real numbers

The interval on which the function is increasing is : (0 , infinity)

The interval on which the function is decreasing is : (-infinity , 0)

The interval on which the function is constant is : ( 0,0 )

Step-by-step explanation:

f(r)=5r^2−4

This is  a quadratic function.

vertex at  (0, -4)  and with positive coefficient for r^2

The interval on which the function is increasing is : (0 , infinity)

The interval on which the function is decreasing is : (-infinity , 0)

The interval on which the function is constant is : ( 0,0 )

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Solve: x+2/x-4&lt;0<br> O _4 O -2 -2 -4
sammy [17]

Answer:

-2<x<4

Step-by-step explanation:

For \frac{x+2}{x-4} < 0, note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.

This means x+2>0 and x-4<0 or x+2<0 and x-4>0.

Lets look at the first scenario (x+2>0 and x-4<0)

x+2>0 and x-4<0

x>-2 and x<4

This means that -2<x<4.

Let’s look at the other scenario (x+2<0 and x-4>0)

x+2<0 and x-4>0

x<-2 and x>4

This means that x must be <-2 and >4 simualtaneously, which is impossible.

Therefore, this only occurs when -2<x<4.

I hope this helps! :)

7 0
2 years ago
Select the correct answer from the drop-down menu. Find the product. The product of 2/5a2x and -1/5x2a is
valentinak56 [21]

Answer: -\frac{2}{25}a^{3}x^{3}

Step-by-step explanation:

1. The problem asked for the product of \frac{2}{5}a^{2}x and -\frac{1}{5}x^{2}a, therefore, you must mutliply them, as you can see below:

2. According the exponents propertiess, when you have a multiplication of two powers that has the equal base, you must add the exponents. THerefore, you have the following result:

 (\frac{2}{5}a^{2}x)(-\frac{1}{5}x^{2}a)=-\frac{2}{25}a^{3}x^{3}

3 0
2 years ago
Read 2 more answers
A car salesman earns a base salary plus commission for every car he sells. The expression shows the amount the salesperson earns
nataly862011 [7]
$2,000, the commission is like a bonus if the car salesman sells cars, so per month is 2,000 if he sold 8 cars it would be 8,000 and plus the earning per month it would be $10,000.

4 0
3 years ago
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If m A. <br> 25°<br> B. <br> 12.5°<br> C. <br> 37.5°<br> D. <br> 50°
chubhunter [2.5K]
It’s A because the angles are acute and thoses are 25
8 0
2 years ago
What is the value of y?<br> A. 83<br> B. 89<br> C. 96<br> D. 97
Readme [11.4K]

Answer:

<u>A. 83</u> is the correct option.

Step-by-step explanation:

all angles of a triangle are always equal to 180.

46 + 51 + y = 180

97 + y = 180

180 - 97 = <u>83</u>

Have a nice day! :-)

7 0
2 years ago
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