All categories

2 years ago

Which interval describes where the graph of the function is positive?

Mathematics

1 answer:

Drupady [299]2 years ago

6 0

The interval that is a solution for the graph to be positive is; D: -∞ < x < -1

<h3>How to interpret graph intervals?</h3>

For the graph to be positive, the x-values will have to produce y-values that are always positive.

Now, from the given graph, we can see that all the x-values less than -1 produce positive values of y which makes the graph positive.

Thus, the interval that is a solution for the graph to be positive is;

-∞ < x < -1

Read more about Graph Intervals at; brainly.com/question/4025726

#SPJ1

You might be interested in

in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if

mina [271]

We have a square garden of 400 square foot.

The area of a square is:

$A=x^2$

where x: side length.

In this case:

$\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}$

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

$P=4x=4\cdot20=80\text{ ft}$

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

$C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}$

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

$F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40$

Answer: the fencing will cost a total of $128.40

8 0

1 year ago

A person suspects a standard number cube is not so standard. Another person rolls this cube 100 times, and it lands on a six 42

Ksju [112]

Answer:

The chance of an average six-sided number cube landing one one number is 1/6, or approximately 16.67%. When rolling a number cube 100 times, the average number of times it lands on any specific number should be fairly close to 16.67.

A 6 being rolled 42 times and 33 times means that it is <em>very likely</em> not to be a standard number cube. Although we cannot know for certain, the chance of this happening is very low.

3 0

3 years ago

An airplane flies 2700 miles to Los Angeles to NYC. When the plane flies back to LA, is it flying in a negative direction? use a

dolphi86 [110]

Answer:

Distance = abs(-1700)

Distance = 1700 miles

Step-by-step explanation:

NYC is located East of Los Angels.

The Airplane flies from Los Angeles to the left direction from NYC.

Which is negative direction.

Therefore, distance = -1700

Here the distance cannot be negative even though if it flies in negative direction.

Therefore, we use the absolute value.

The absolute value of a number is always positive.

So, distace = abs( -1700)

Distance = 1700 miles.

Hope this will help you understand the concept.

Thank you.

5 0

3 years ago

Divide 20m^2n^3 - 10m^2n by 5mn

Sonja [21]

$\frac{20 {m}^{2} {n}^{3} - 10 {m}^{2}n }{5mn} \\ = \frac{5mn(4m {n}^{2} - 2m) }{5mn} \\ = 4 {m}^{2} n - 2m \\ = 2m(2mn - 1)$

Hope this helps. - M

6 0

3 years ago

Hi please help me as soon as possible:

sammy [17]

Answer:

Percentage = 14.2%

Step-by-step explanation:

<u>Given the following data;</u>

Cost of plane ticket = £588

Airport tax = $130

£1 = $1.34

To find the percentage of the total cost spent on airport tax;

First of all, we would convert the ticket cost in pounds (£) to dollars ($).

Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92

Total cost = Cost of plane ticket + Airport tax

Total cost = 787. 92 + 130

Total cost = $917.92

$Percentage \; cost = \frac {130}{917.92} * 100$

$Percentage = 0.1416 * 100$

<em>Percentage cost = 14.16 to 1 d.p = 14.2%</em>

<em>Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent. </em>

6 0

3 years ago