Consider the following piece-wise function. Which of the below correctly describes the graph shown?

Consider The Following Piece-wise Function. Which Of The Below Correctly Describes The Graph Shown?

Answers

Answer 1

Answer:

C

Step-by-step explanation:

The function is formed of 2 straight lines

The equation of a straight line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (2, - 2) ← endpoints of left line

m = [tex]\frac{-2+5}{2+4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = [tex]\frac{1}{2}[/tex] x - 3 for x <  2 ( arrow on line points left )

Repeat

with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (3, 1) ← 2 points on right line

m = [tex]\frac{1+2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3, thus

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 1), then

1 = 9 + c ⇒ c = 1 - 9 = - 8

y = 3x - 8 for x ≥ 2 ( arrow on line points right )


Related Questions

PROBABILITY DISTRIBUTIONS?? Do anyone know how to find probabilities??​

Answers

Probability of more than 3 = 0.25

Solution:

Given table shows the pitches, frequency and probability of pitches.

P(x = 1) = 0.15, P(x = 2) = 0.2, P(x = 3) = 0.4, P(x = 4) = 0.15, P(x = 5) = 0.1

To find the probability that the pitcher will throw more than 3 pitches.

Probability of more than 3 pitches = P(x > 3)

                                                         = P(x = 4) + P(x = 5)

                                                         = 0.15 + 0.1

                                                         = 0.25

                                            P(x > 3) = 0.25

Hence the probability that the pitcher will throw more than 3 pitches to a batter is 0.25.

Final answer:

Probability distributions are used to assess the likelihood of different outcomes in a given set of data. To find probabilities, you need to determine the type of probability distribution and use the appropriate formulas or tables.

Explanation:

Probability distributions are used to assess the likelihood of different outcomes in a given set of data. They can take different shapes depending on the nature of the population. One common type of probability distribution is the normal distribution, which represents a bell curve.

To find probabilities using a probability distribution, you can follow these steps:

Determine the type of probability distribution you are dealing with, such as binomial or normal.Identify the values or events for which you want to find probabilities.Use the appropriate formulas or tables to calculate the probabilities, considering factors such as mean and standard deviation.


I am in the middle of a test! Will give brainliest and 30 points!!!!



It’s a circle has a circumference of a 28 Π centimeters (cm) then what is it’s area in centimeters squared?

Answers

Answer:

3.14 x 4.46^2= 62.39 square centimeters

Step-by-step explanation:

What is negative 1/4 to the 3rd power

Answers

Answer:

-1/64

Step-by-step explanation:

Just do 4 to the 3rd and make that the denominator

4^3 = 64

-1 / 64

-1/23 because ti swiaroots

Solve the linear equation for y. -5x+y=7

Answers

to get the proper form of y=mx+b, add 5x from each side of the equation. this gives you y=5x+7. so that is the linear equation in standard form

Answer:

5x+7

Step-by-step explanation:

Jared made 12 3/4 cups of snack mix for cups of snack mix for a party. His guests are 2/3 of the mic. How much snack mix did his guests eat.

a. 4 5/12

b. 4 1/2

c. 8 1/2

d 12 5/7​

Answers

Answer:

8  1 /2

For this we need to determine what  

2 /3 of 12 3/4 is, so we multiply the fractions together.

To estimate the annual salary for a given hourly pay rate, multiply by 2 and insert “000” at the end.


Sample: $10 per hour is about $20,000 per year.

Explain why this works. Assume the person is working 40 hours a week:

Answers

Answer:20000

Step-by-step explanation:

He must have worked for 50 weeks in that year.

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here:  hourly rate=10/hr and annual rate is $20000 and he worked 40 hours per week

Thus in a week he earns 40×10=$400

let the person work for x weeks then we have the equation

400×x=20000

        x=50 weeks

Hence, He must have worked for 50 weeks in that year.

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ5

95-a (b+c) when a=9, b= 3, and c = 7.4

Answers

Step-by-step explanation:

95-a (b+c)

95-9 (3+7.4)

95-9×10.4

95-93.6

=1.4

Answer: 894.4

Step-by-step explanation:

95-9(3+7.4)

⬇️

95-9 (10.4)

⬇️

86(10.4)

⬇️

894.4

can someone answer this with work :)

Answers

Answer:

A15+B10=cents

Step-by-step explanation:

Is 3/x+4/y=2 linear or non-linear

Answers

The given equation is non-linear.

Solution:

Given expression is [tex]\frac{3}{x} +\frac{4}{y} =2[/tex].

To find the equation is linear or non-linear.

Linear equation is a straight line which is in the form ax + by + c = 0.

Otherwise it is non-linear equation.

⇒ [tex]\frac{3}{x} +\frac{4}{y} =2[/tex]

Do cross multiply for the fractions to make the denominators same.

⇒ [tex]\frac{3y}{yx} +\frac{4x}{yx} =2[/tex]

⇒ [tex]\frac{3y+4x}{yx} =2[/tex]

Do cross multiplication.

⇒ [tex]3y+4x=2yx[/tex]

⇒ [tex]4x+3y-2yx=0[/tex]

Here, there is no constant term.

So, the equation is not a straight line.

Hence, the given equation is non-linear.

The measure of an angle is 135 degrees. What is the measure of its supplementary angle ?

Answers

Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?

If the measure of an angle is 135°,

then the measure of its supplement is 45°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.

Final answer:

The measure of the supplementary angle to a 135-degree angle is 45 degrees, calculated by subtracting 135 degrees from 180 degrees.

Explanation:

The measure of an angle is 135 degrees. Supplementary angles are two angles whose measures add up to 180 degrees. To find the measure of the supplementary angle, we subtract the given angle's measure from 180 degrees. Here's the calculation:

Identify the measure of the given angle (135 degrees).Subtract the measure of the given angle from 180 degrees: 180 degrees - 135 degrees = 45 degrees.The measure of the supplementary angle is therefore 45 degrees.

just 3 math problem show step by step

1 5x+y=-12
5x-7y=4


2. -5x+4y=-3
-9x-y=-30


3. -9x+6y=27
-x+3y=10
please help me out

Answers

Answer:

see attached picture please

The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many seahorses are there.

Answers

Answer:

[tex]4\ sea\ urchins[/tex]

Step-by-step explanation:

The correct question is

The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many sea urchins are there.

Let

x ----> the number of seahorses

y ----> the number of sea urchins

we know that

The number of seahorses is 4 times the number of sea urchins

so

[tex]x=4y[/tex] -----> equation A

There are 16 seahorses

so

[tex]x=16[/tex] ----> equation B

Solve the system by substitution

substitute equation B in equation A

[tex]16=4y[/tex]

solve for y

divide by 4 both sides

[tex]y=16/4\\y=4\ sea\ urchins[/tex]

Answer:

4.

Step-by-step explanation:

if 4 is the number of Urchins 4*4 is 16 which is how many seahorses there are.

how many positive integers have a value between the square root of 8 and the square root of 72?

Answers

Answer:

6 numbers

Step-by-step explanation:

Note that [tex]4<8<9,[/tex] then

[tex]\sqrt{4}<\sqrt{8}<\sqrt{9}\\ \\2<\sqrt{8}<3[/tex]

and [tex]64<72<82,[/tex] then

[tex]\sqrt{64}<\sqrt{72}<\sqrt{81}\\ \\8<\sqrt{72}<9[/tex]

List all positive integers which have a value between [tex]\sqrt{8}[/tex] and [tex]\sqrt{72}:[/tex]

[tex]3,\ 4,\ 5,\ 6,\ 7,\ 8[/tex]

Hence, there are 6 such numbers

Wills,Donald, and Maya found a quarter, a dime, a nickel, and 2 pennies when they were cleaning the house. They traded their dad for some other coins that were worth the same amount of money and split it evenly. How much did they get

Answers

The 2 penny’s and nickeled and not for you there someone else here

What is 6/6 equivalent to

Answers

Answer:

1 whole

Step-by-step explanation:

Answer:1

Step-by-step explanation:You have 6 sixths. That means it is a whole number

Is 3 a solution of 2n - 6 = 5n - 15

Answers

Answer: Yes

Step-by-step explanation: Here, we want to decide if 3 is a solution for the equation 2n - 6 = 5n - 15. We can do this by simply plugging in 3 for n. If the statement holds true when 3 is plugged in for n, then 3 is a solution.

Plugging in 3 for n, we have 2(3) - 6 = 5(3) - 15.

2(3) is equal to 6 and if we subtract 6 we get 0.

On the right side, 5(3)  is equal to 15 and if we subtract 15 we get 0.

0 = 0 is a true statement so yes,

3 is a solution for the equation 2n - 6 = 5n - 15

Please help I will mark brainliest

Answers

Answer:

10

Step-by-step explanation:

The square length of hypotenuse is equal to two sides' length square added together

C = 10^2 + 7.5^2 = √156 approximately 12.5

The answer is 10 if needed to round to nearest tenth.

An apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant. The apartment building has 92 total occupants.

2× + 16 = 92

How many double-occupancy apartments are currently rented?

Answers

38 double-occupancy apartments are currently rented

Solution:

Given that, apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant

Number of apartments with one occupant = 16

Number of apartments with two occupants = x

The apartment building has 92 total occupants

Therefore, we frame a equation as,

Number of apartments with one occupant + 2 x Number of apartments with two occupants = 92

[tex]16 + 2 \times x = 92[/tex]

16 + 2x = 92

Solve the above equation for "x"

2x = 92 - 16

2x = 76

x = 38

Thus 38 double-occupancy apartments are currently rented

Final answer:

To determine the number of double-occupancy apartments that are currently rented, we solve the equation: 2x + 16 = 92. After simplifying, we find that there are 38 double-occupancy apartments rented.

Explanation:

To determine the number of double-occupancy apartments that are currently rented, we need to solve the equation: 2x + 16 = 92.

First, we subtract 16 from both sides of the equation: 2x = 76.

Next, we divide both sides of the equation by 2 to isolate x: x = 38.

Therefore, there are 38 double-occupancy apartments currently rented.

Simplify. (x^4)^3
Write your answer without parentheses.

Answers

Answer:

x^12

Step-by-step explanation:

The system of equations is graphed on the coordinate plane.

y=−12x−1y=14x−4

Enter the coordinates of the solution to the system of equations in the boxes.

(
, ​

)
A graph with a blue line passing through coordinates (0, -4) and (4, -3) and a red line passing through coordinates (0, -1) and (4, -3).

Answers

Answer:

Step-by-step explanation:

y = -12x - 1

y = 14x - 4

-12x - 1 = 14x - 4

-1 + 4 = 14x + 12x

3 = 26x

3/26 = x

y = 14x - 4

y = 14(3/26) - 4

y = 42/26 - 4

y = 42/26 - 104/26

y = - 62/26 reduces to - 31/13

solution : x = 3/26 and y = -31/13 or (3/26,-31/13)

The Johnsons need to put up a fence, as shown in the picture. They have already measured two of the sides. Find the length of the missing side of the farmyard (round to two decimal places). A) 17.00 feet B) 27.00 feet C) 32.15 feet D) 46.77 feet

Answers

Answer:

D

Step-by-step explanation:

its D for sure

Answer:

d

Step-by-step explanation:

46.77 feet Use the Pythagorean theorem.

Can someone show me how to do this please?

⦁ A sculptor is planning to make two triangular prisms out of steel. The sculptor will use for the bases of one prism and for the bases of the other prism.




⦁ Is similar to ? Explain.
⦁ Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? Show your work.
Answer:

Answers

Answer:

they are similar as the enlargement has a scale factor divide it then woke it out

Which system of equations has exactly one solution? 2 x - 4 y = 8. x + y = 7. 3 x + y = - 1. 6 x + 2 y = - 2. 3 x + 3 y = 3. -6 x -6 y = 3. 3 x - 2 y = 4. - 3 x + 2 y = 4.

Answers

Answer:

A) is the correct answer (6,1)

Step-by-step explanation:

What is the answer to -2(3x+2)=2x+6

Answers

Answer:

x=-5/4

Step-by-step explanation:

-2(3x+2)=2x+6

-6x-4=2x+6

-6x-2x-4=6

-8x-4=6

-8x=6+4

-8x=10

x=10/-8

x=-10/8

simplify

x=-5/4

12. Noah raised $54 to support the animal shelter, which is 60% of his fundraising goal.
a. Write an algebraic equation to represent the situation.
b. What is Noah's fundraising goal?

Answers

To represent the situation algebraically, we use the equation 54 = 0.60G, and solving it gives us Noah's fundraising goal of $90.

Let's represent Noah's fundraising goal as G. According to the problem, Noah has raised $54, which is 60% of his goal. This situation can be translated into the algebraic equation:

54 = 0.60G

To find Noah's fundraising goal (G), we can divide both sides of the equation by 0.60:

G = 54 ÷ 0.60G = $90

Therefore, Noah's fundraising goal is $90.

Find the slope of each set of points.
a.) 4, 3 and -3, 4 b.) -2, 0 and (8, -4)

Answers

Answer:

1. (4, 3) and (-3, 4) has  Slope  = -1/7  

2.(-2, 0) and (8, -4) has Slope  = -2/5

Step-by-step explanation:

If two such points (a,b) and (c,d) are given, then the slope S is given as:

[tex]S = (\frac{d-b}{c-a} )[/tex]

Now here, the given set of points are:

1. (4, 3) and (-3, 4)

Here, the slope S  = [tex](\frac{4-3}{-3-4}) = (\frac{1}{-7}) = -(\frac{1}{7})[/tex]

S  = -1/7

1. (-2, 0) and (8, -4)

Here, the slope S  = [tex](\frac{-4-0}{8-(-2)}) = (\frac{-4}{10}) = -(\frac{2}{5})[/tex]

S  = -2/5

Savanah solved the equation 3 + 4|3 plus 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 11. + 3| = 11 for one solution. Her work is shown below:

Answers

Answer:

x=-2 OR x=-10 i.e.

Solution Set = {-2,-10}

Step-by-step explanation:

The equation described in words is typed and solved below:

[tex]3+4|\frac{x}{2}+3|=11 \\4|\frac{x}{2}+3|=11-3\\4|\frac{x}{2}+3|=8\\|\frac{x}{2}+3|=\frac{8}{4} \\|\frac{x}{2}+3|=2\\\frac{x}{2}+3=2 OR \frac{x}{2}+3=-2\\\frac{x}{2}=2-3 OR \frac{x}{2}=-2-3\\\frac{x}{2}=-1 OR \frac{x}{2}=-5\\x=-2ORx=-10\\[/tex]

Answer:

it is -10

Step-by-step explanation:

How many solutions does this system have? y = 3/4x - 5. - 3 x + 4 y = - 20.

Answers

Answer:

infinite

Step-by-step explanation:

Expression for the calculation the sum of the product of 4 and 3 and 1 and 1

Answers

Answer:

(4 × 3) + (1 × 1)

Step-by-step explanation:

Sum means adding, so you are adding the product of 4 and 3 to the product of 1 and 1.

Product means multiplying, so you are multiplying 4 and 3 together, and since you just want an expression, this is expressed as 4 × 3.

You are also multiplying 1 and 1 together, so that can be expressed by 1 × 1.

Since you are adding these together, you just put a plus sign in between the two terms. That gives you (4 × 3) + (1 × 1).

An equation for the depreciation of a car is given by y = A(1-r), where y = current value of the car, A = original cost, r = rate
of depreciation, and t = time, in years. The current value of a car is $12,282.50. The car originally cost $20,000 and
depreciates at a rate of 15% per year. How old is the car?

Answers

Answer:

Step-by-step explanation:

y = A(1 - r)^t......y = value of car after t years.....A = original cost....r = rate of depreciation.....t = time in years

y = 12,282.50

A = 20,000

r = 15% = 0.15

12,282.50 = 20,000(1 - 0.15)^t

12,282.50 / 20,000 = 0.85^t

0.614125 = 0.85^t

log 0.614125 = t * (log(0.85))

t = (log 0.614125) / (log 0.85)

t = 3 <=== 3 years old

Answer:

C. 3 years

Step-by-step explanation:

I can confirm that the answer to your question is C.

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From the outset, the US government grappled with the uncomfortable question of slavery in all of the following measures EXCEPT the:__________A. Northwest Ordinance in 1787.B. constitutional ban on slave imports beginning in 1808.C. Missouri Compromise in 1820.D. Nonimportation Act of 1807.E. Compromise of 1850. 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