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grigory [225]
2 years ago
13

Zeke claims that the function to the left should have three shaded regions for its range because it is a three-piece piecewise f

unction. Is Zeke correct? Yes or No

Mathematics
1 answer:
schepotkina [342]2 years ago
8 0

Answer:

No

Step-by-step explanation:

The input to a function which is the domain of the function is the x-variable or independent variable, while the output of a function which is the range of the function is the y-variable or dependent variable

In the given function, the outputs or the ranges of the function for the input of piece with x-values -3 ≤ x ≤ -8 completely overlaps the ranges for the piece with x-values 1 < x ≤ 3, therefore, both ranges can be represented by a single shaded region, giving a total of two shaded regions.

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Enter the values for the highlighted variables to<br> complete the steps to find the sum:
Rina8888 [55]

Answer:

a=-1

b=-9

c=9

d=3

e=3

f=2

g=1.5

Step-by-step explanation:

4 0
2 years ago
Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?
EleoNora [17]

Answer:

Option A

Step-by-step explanation:

  • f(x) = x³ + x² + x + 1

This is increasing function

The first option is correct

<em>See attached graph for reference</em>

3 0
2 years ago
A poll found that 5% of teenagers (ages 13 to 17) suffer from arachnophobia and are extremely afraid of spiders. At a summer cam
brilliants [131]

Answer:

a) Calculate the probability that at least one of them suffers from arachnophobia.

x = number of students suffering from arachnophobia

= P(x ≥ 1)

= 1 - P(x = 0)

= 1 - [0.05⁰ x (1 - 0.05)¹¹⁻⁰ ]

= 1 - (0.95)¹¹

= 0.4311999 = 0.4312

b) Calculate the probability that exactly 2 of them suffer from arachnophobia? 0.08666

=  P(x = 2)

=  (¹¹₂) x (0.05)² x (0.95)⁹

where ¹¹₂ = 11! / (2!9!) = (11 x 10) / (2 x 1) = 55

= 55 x 0.0025 x 0.630249409 = 0.086659293 = 0.0867

c) Calculate the probability that at most 1 of them suffers from arachnophobia?

P(x ≤ 1)

= P(x = 0) + P(x = 1)    

= [(¹¹₀) x 0.05⁰ x 0.95¹¹] + [(¹¹₁) x 0.05¹ x 0.95¹⁰]

= (1 x 1 x 0.5688) + (11 x 0.05 x 0.598736939) = 0.5688 + 0.3293 = 0.8981

4 0
2 years ago
Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (2
Firlakuza [10]

Answer:

The value of x is 3 ⇒ 2nd answer

Step-by-step explanation:

<u><em>An exterior angle</em></u> is the angle between one side of a triangle and the

extension of an adjacent side

<u><em>The measure of an exterior angle at any vertex of a triangle equal the </em></u>

<u><em>sum of the measures of the two opposite interior angles</em></u>

- Triangle R T S is sitting on a horizontal line

- Line S R extends through point Q to form exterior angle T R Q

- m∠RTS is (25 x)°, m∠TSR is (57 + x)° , m∠TRQ is (45 x)°

* Lets find the value of x

∵ ∠TRQ is an exterior angle of Δ RTS at the vertex R

∵ The opposite interior angles to vertex R are ∠RTS and ∠TSR

∴ m∠TRQ = m∠RTS + m∠TSR ⇒ <u><em>as the rule above</em></u>

∵ m∠TRQ = (45 x)°

∵ m∠RTS = (25 x)°

∵ m∠TSR = (57 + x)°

Substitute these measures in the equation above

∴ 45 x = 25 x + 57 + x

∴ 45 x = 26 x + 57

Subtract 26 x from both sides

∴ 19 x = 57

Divide both sides by 19

∴ x = 3

* The value of x is 3

3 0
2 years ago
Read 2 more answers
The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five numb
melisa1 [442]

Answer: The  lowest value: 100 and highest value: - 150 .

If we were to build the box plot for this data, the box would stretch between Q_1= 100 and Q_3= 125.

Step-by-step explanation:

We know that the box-plot is the graphical way to represent the five -number summary (Minimum value , First quartile (Q_1) , Median , Third Quartile (Q_3)  , Maximum value).

Where , the box streches between the first quartile  (Q_1)  and the third quartile  (Q_3) .

Given : The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines.

The five number summary for prices based on a sample of major US airlines was:

Min = 60,

Q_1= 100

Median = 110

Q_3= 125

Max = 150

If we were to build the box plot for this data, the box would stretch between Q_1= 100 and Q_3= 125.

Hence, the  lowest value: 100 and highest value: 125 .

8 0
2 years ago
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