Write the equation of the piecewise function. Algebra 2

Write The Equation Of The Piecewise Function. Algebra 2

Answers

Answer 1

Answer:

  C. [tex]y=\begin{cases}2-x&x<0\\5-3x&x\ge 0\end{cases}[/tex]

  D. [tex]y=\begin{cases}-2&x<-3\\4&x>-3\end{cases}[/tex]

Step-by-step explanation:

C.  The line to the left of x=0 has a slope of -1 and a y-intercept of 2. That portion of the function does not include x=0. The line to the right of x=0 has a slope of -3 and a y-intercept of 5. That portion of the function includes the case x=0.

  [tex]\boxed{y=\begin{cases}2-x&x<0\\5-3x&x\ge 0\end{cases}}[/tex]

__

D. The line to the left of x=-3 is y=-2; the line to the right of there is y=4. The function is not defined at x=-3.

  [tex]\boxed{y=\begin{cases}-2&x<-3\\4&x>-3\end{cases}}[/tex]


Related Questions

is 2/3 divided by 5 is it grater than 1 less than 1 or equal to 1?

Answers

Answer:

it is less tha 1

Step-by-step explanation:

Answer:

Less than 1

Step-by-step explanation:

2/3 divided by 5 is 2/15 which is less than 1

write 2.64 as a percent

Answers

Answer:

264%

Step-by-step explanation:

2.64 left 2 decimal places

Answer:

2.64 as a percent is 264%


What is 3 2/5 + 2 1/10?

Answers

Answer [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

answer this math question for 10 points

Answers

Which question and if you have the name of the assignment or it has a copy right at the bottom you can most likely find it online hope that helps

what is the solution to x-4=17

Answers

17+4 = 21 the answer is 21

Answer:

x=21

Step-by-step explanation:

x=17+4

x=21

What is the equation of a line that passes through the points (-4,2) and (-8,-3).

Answers

Answer:

[tex]y = \frac{5x}{4} + 7[/tex]  

I hope this helps!

add 732+89,431+5,341+6​

Answers

732+89,431=90,163
90,163+5,341=95,504
95,504+6=95,510
Answer: 95,510

3.
8.2 m
? m
Area = 41 m2

Answers

Answer:

5 m

Step-by-step explanation:

area = L x W

41 = L ( 8.2)

L = 41 / 8.2

L = 5 m

In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°. What is the measure of angle G?

42°
53°
117°
127°

Answers

Answer: 127 degrees

Step-by-step explanation:

I hope this helps

E                       F

H                     G

I had to write it out the parallelogram so I could have a better visual.

F and G are consecutive angles in a parallelogram (not on opposite sides).

This means they add to be 180 degrees.

F+G=180

(3x-10)+(5x+22)=180

(3x+5x)+(-10+22)=180

8x       +12=180

Subtract 12 on both sides:

8x           =180-12

Simplify:

8x           =168

Divide both sides by 8:

x              =168/8

x              =21

If x=21 and want the measurement of angle G, then

(5x+22)=(5*21+22)=127.

So angle G has measurement 127 degrees.

The the measure of angle G will be 127°. Then the correct option is D.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

In parallelogram, the sum of the two adjacent angle is 180 degrees.

In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°.


The angle F and angle G are the adjacent angle.

The sum of angle F and angle G is 180°.


             ∠F + ∠G = 180°

3x - 10 + 5x + 22 = 180

                      8x = 168

                        x = 21

Then the the measure of angle G will be

∠G = (5x + 22)°

∠G = (5 × 21 + 22)°

∠G = (105 + 22)°

∠G = 127°

The the measure of angle G will be 127°.

Then the correct option is D.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

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it takes kirsten 2\3 hour to weed the garden how much of the garden will be weeded after 1\4 hour

Answers

Answer:

The answer is 3/8 Step-by-step explanation: apex

how do you illustrate quadratic equation in one varible?

Answers

Answer:

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.

Step-by-step explanation:

Sonya is a waitress. She earns $200 per week plus a 15% tip on the cost of each meal she serves. What must be the total cost of the meals she serves in order for her to earn at least $425 each week?

help me please

Answers

Answer:

Sonya would need to serve 1500 meals

Step-by-step explanation:

425=15%(x)+200 or 425=.15(x)+200

solve for x

425=.15x+200 distribute

subtract 200 from both sides

225=.15x

divide both sides by .15 to isolate x

1500=x or x=1500

Write an expression in terms of n, multiply a number by 4

Answers

Answer: 4 n

Step-by-step explanation:

Corey’s cat weighed 4 pounds. A year later, it weighed 175% of its previous weight. How much did Corey’s cat weigh after one year?

Answers

Answer:

7

Step-by-step explanation:

Answer:

the answer is 7 i got it right

Step-by-step explanation:

Determine if (2, 3) is a solution to the following equation
y = 5x - 1

Answers

y=5x-1
3=5(2)-1
3=10-1
3=9
Therefore, 2,3 is not a solution because 3 is never equal to 9.

Answer:

No, it is not

Step-by-step explanation:

You have to plug it in:

(x,y) = (2,3)

y=5x-1 is also 3=5(2)-1

3=10-1

3=9 is a false statement so it is not a solution.

How many times greater is the value of 0.02 than the value of 0.002

Answers

1000 times as the value

The value of 0.02 is 10 times greater than the value of 0.002.

What is meant by inequality?

If two given numbers are not equal, we use inequality. It means that the first number is either greater than or less than the second number.

we have a value of 0.02 greater than the value of 0.002

[tex]\frac{2}{100} = \frac{2}{1000} \\[/tex]

[tex]\frac{2}{100} \times\frac{1}{10} = \frac{2}{1000} \\[/tex]

Therefore, The value of 0.02 is 10 times greater than the value of 0.002.

Learn more about inequality here:

https://brainly.com/question/19491153

Point A ( 5, 3) is reflected across the x-axis what is the coordinate of the image.

Answers

Answer:

(5, -3)

Step-by-step explanation:

when you reflect across x axis the y changes symbols.

The Point A(5, 3) is reflected across the x-axis, then the coordinate of the image is (5, -3).

What is a reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

The point A(5, 3) is reflected across the x-axis.

The reflection across the x-axis:

The rule for a reflection over the x-axis is,

(x, y) → (x, −y).

So, the image point,

(5, 3) → (5, −3)

Therefore, the image point is (5, −3).

To learn more about the reflection;

https://brainly.com/question/11232423

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Identify the domain and the range of the function

Answers

Answer: The first

D: [-3,∞)

R: [-1,∞)

The second

D: [-3,2)

R:[-5,4]

Step-by-step explanation:

Write and evaluate the expression. Then, select the correct answer.

two less than the quotient of a number and four, increased by ten;

evaluate when m = 12

2 + 4m -10, when m = 11, the value is 40
4m + 2 +10, when m = 11, the value is 60
2 -StartFraction m Over 4 EndFraction 4m + 10, when m = 12, the value is 9
StartFraction m Over 4 EndFraction-2+10, when m = 12, the value is 11

Answers

Answer:

m/4  when m = 12, the value is 11

Step-by-step explanation

Answer:

D

Step-by-step explanation:

I continusly did this question over and over & it kept saying I had got it wrong . Can somebody help ?

Answers

Answer:

8

Step-by-step explanation:

distance is never negative.

the distance is 8 (don’t count in negatives)

Can anybody help me solve these problems? My teacher had a answer key up for us to check our answers but I have no idea where to start.

Answers

Answer:

f = 59

g = 59

Step-by-step explanation:

f = 180 - 121

f = 59

g = 180 - 121

g = 59

solve for a:5(a+2)-3(2a-5)=39

Answers

5(a + 2) -3(2a - 5) = 39
5a + 10 - 6a + 15 = 39
Combine liked terms
-a + 25 = 39
-25 on both sides
-a = 14
a = -14

Checking if a = -14, substitute it back into the equation
5(a + 2) -3(2a - 5) = 39
5(-14 + 2) -3(2(-14) - 5)) = 39
5(-12) -3(-28 - 5) = 39
-60 -3(-33) = 39
-60 + 90 = 39
39 = 39

Answer:
a = -14

pls help with year 8 maths

Answers

Answer:

a) 1

b)11

c)4

d)1

I hope it helps you...

Answer:

see explanation

Step-by-step explanation:

Given a point (x, y ) then its distance from the origin is

d = [tex]\sqrt{x^2+y^2}[/tex]

(a) (2, 3 ) , then

d = [tex]\sqrt{2^2+3^2}[/tex]

   = [tex]\sqrt{4 + 9}[/tex]

   = [tex]\sqrt{13}[/tex] ≈ 3.6 units ( to 1 dec. place )

------------------------------------------------

(b) ( - 5, 7 ) , then

d = [tex]\sqrt{(-5)^2+7^2}[/tex]

   = [tex]\sqrt{25+49}[/tex]

    = [tex]\sqrt{74}[/tex] ≈ 8.6 units ( to 1 dec. place )

-------------------------------------------------

(c) (- 1, 4 )

d = [tex]\sqrt{(-1)^2+4^2}[/tex]

   = [tex]\sqrt{1+16}[/tex]

    = [tex]\sqrt{17}[/tex] ≈ 4.1 units ( to 1 dec. place )

------------------------------------------------------

(d) (- 4, - 5 ) , then

d = [tex]\sqrt{(-4)^2+(-5)^2}[/tex]

   = [tex]\sqrt{16+25}[/tex]

   = [tex]\sqrt{41}[/tex] ≈ 6.4 units ( to 1 dec. place )

2. What is the slope of the line through the points (-6, 3) and (-7,-4)?

a. 3/1

b. 1/7

c. 1/3

d. 7/1

Answers

D


Hope it helps. Pls mark as brainliest

The required slope of the line through the points (-6, 3) and (-7,-4) is m = 7.


Given that,
To determine the slope of the line through the points (-6, 3) and (-7,-4).

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the line is given by,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the point in the above equation,
m = 3 + 4/ -6 + 7
m =7 / 1
m = 7

Thus, the required slope of the line through the points (-6, 3) and (-7,-4) is m = 7.

Learn more about slopes here:
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your friend defines a right angle as an angle that is greater than an acute angle

Answers

Answer:

obtuse angle

Step-by-step explanation:

because it is 180 degrees.

Answer:

a right angle is an angle that is exactly 90*.

Step-by-step explanation:

acute angles are defined as anything less than or equal to 89* and the opposite for obtuse angles. A right angle is exactly 90*.

Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same? because both result in the equation 20 x = 500, which simplifies to x = 25 because both result in the equation 20 x = 500, which simplifies to x = 250 because both result in the equation 10 x = 1,000, which simplifies to x = 10 because both result in the equation 10 x = 1,000, which simplifies to x = 100

Answers

Given:

Two equations are

[tex]\dfrac{50}{x}=\dfrac{10}{20}[/tex]

[tex]\dfrac{10}{50}=\dfrac{20}{x}[/tex]

To find:

The reason for same solutions to the proportions.

Solution:

First equation is

[tex]\dfrac{50}{x}=\dfrac{10}{20}[/tex]

On cross multiplication, we get

[tex]50\times 20=10\times x[/tex]

[tex]1000=10x[/tex]

Divide both sides by 10.

[tex]\dfrac{1000}{10}=x[/tex]

[tex]100=x[/tex]

The second equation is

[tex]\dfrac{10}{50}=\dfrac{20}{x}[/tex]

On cross multiplication, we get

[tex]10\times x=50\times 20[/tex]

[tex]10x=1000[/tex]

Divide both sides by 10.

[tex]x=\dfrac{1000}{10}[/tex]

[tex]x=100[/tex]

Solutions to the proportions are same because both result in the equation 10 x = 1,000, which simplifies to x = 100.

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

which equation represents the model?

Answers

Answer:

think its A

Step-by-step explanation:

y=x^2+9x+3 write graph form

Answers

This is the graph, hope this helps!

I NEED HELP ASAP. WILL GIVE BRAINLIEST.


A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240π inches per minute.

What is the distance, in inches, between the particle and the fixed point?

3.75
7.5
15
30

Answers

Answer:

I believe it is 7.5

Step-by-step explanation:

v = wr

240 [tex]\pi[/tex] = (16)(2[tex]\pi[/tex])(r)

r = (240[tex]\pi[/tex]) / (16)(2[tex]\pi[/tex])

r = 7.5 inches

Pls help
I will award brainlist thing
Pls answer all the questions

Answers

Answer:

7.) slope=-2/5   y-intercept= -2  

8.)   slope= -4/9 y-intercept=-3

9.)   slope=1/5  y-intercept=5

10.)m= -3

 11.)m=  2/5

12.)m=2.5

Step-by-step explanation:

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