Which of the following functions is graphed below

Which Of The Following Functions Is Graphed Below

Answers

Answer 1

Answer:

Option B: [tex]y=\left \{ {{x^2+6,x<3} \atop {-x+6,x\geq3}} \right.[/tex]

Step-by-step explanation:

We can see that the first part of the piecewise function is a parabola with a y-intercept of (0,6) where the domain is restricted for all values of x less than 3 given the open circle at x=3.

The second part of the piecewise function is a linear function with a negative slope where the domain is restricted for all values of x greater than or equal to 3 given the closed circle at x=3.

Essentially, the piecewise function has a jump discontinuity at x=3 where the first part of the function goes to the second part of the function at one point by "jumping".


Related Questions

Please Help Question in picture

Answers

Answer:

(-3, 5.5)

Step-by-step explanation:

To find the midpoint, you add up the corresponding coordinates (x with x and y with y) and divide each by 2.

(-7+1)/2 = -3

(8+3)/2 = 5.5

Answer:

(-3,5.5)

Step-by-step explanation:

(-7,8)

(1,3)

(-7+1)/2,(8+3)/2

-3,5.5

solve for value of x in simplest radical form

Answers

Answer:

3

Step-by-step explanation:

Please help!
Can someone write out an explanation for how to simplify:
[tex](4x^{-4} )^{-3}[/tex]

I'm having trouble understanding it so a step by step would be helpful!

Answers

First, express x^-4 with a positive exponent. You can do this by putting it in the denominator of a fraction.
(4 • 1/x^4)^-3
Next, multiply the terms in the parentheses.
(4/x^4)^-3
Express ^-3 as a positive exponent by finding the reciprocal of the fraction inside the parenthesis.
(x^4/4)^3
Then, distribute the power into the parentheses. (Numerator and denominator)
x^12/64

Hope this helps!

It takes me 12 minutes to run 2 kilometers. How long will it take me to run 10,000 meters?

Answers

60min or 1 hour

Because 2km is equal to 2000m
Therefore you multiply 12 min by 5 (because 2000m x 5 is 10000m)

∣ x + 1 − x 2 ∣ = 2 ( 2 x 2 − 1 )=

Answers

Answer:

X = 7

Step-by-step explanation:

∣ x + 1 − x 2 ∣ = 6

∣ -x + 1 ∣ = 6

-7 + 1 = -6

Absolute value of -6 is 6

x = 7

The value of x for the expression is equal to 7.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of x is solved as,

∣ x + 1 − x 2 ∣ = 6

∣ -x + 1 ∣ = 6

-7 + 1 = -6

The absolute value of -6 is 6

x = 7

Therefore, the value of x for the expression is equal to 7.

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WHO CAN HELP ME ON THIS? Due soon!

Answers

The other one will. Be 20

Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 6, and 2
Choose the correct answer below.
O A. 12 + x
OB. 6x + 2
O C. (6+2)x
OD. 2x + 6

Answers

Answer:

B: 6x+2

Step-by-step explanation:

hope this helps :)

f the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis estimate a budget of $315
$
315
for rental car expenses. One rental car company charges $55
$
55
per day and $35
$
35
in taxes and fees. They also estimate that they will spend $15
$
15
per day on gas. Gabriela wrote the equation (55d+35)+15d=315
(
55
d
+
35
)
+
15
d
=
315
to determine the number of days the family can rent a car from this company.

How many days could the Morales family rent a car if they choose this rental car company with their estimated budget?

Answers

Answer:

4 days

Step-by-step explanation:

55d+35+15d=315

70d=315-35

70d=280

d=280/70

d=4

MARKING BRAINLIEST PLEASE HELP

Answers

5 hours IS THE AWSER CHOSE 5

What is the area of a room that is 3 3/4 yards long by 3 1/3 yards wide?

Answers

Answer:

Depends on what your question asks for (in mixed or improper form) your answer would be: 150/12 yards or 12 1/2 yards

brainliest please?<3

Step-by-step explanation:

To find the area, first convert the mixed numbers to improper form:  

3 3/4 = 15/4 & 3 1/3 = 10/3

Now multiply them together:  

15/4 x 10/3  

= 150/12

Answer: 12.5

Step-by-step explanation:

3 3/4 in improper form is 15/4. 3 1/3 in improper form is 10/3.

15   10       150

==x == =  ====             150 divided by 12 is 12.5

4     3         12

Find f(2) and f(3).
f(1) = 3
f(n) = 7f(n = 1)

Answers

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

pls help (written response pls)

Answers

Answer:

It would be Number of Hours

Step-by-step explanation:

The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"

Hope this Helps :)

Im so confused of what to do?
if you're good at maths please help
with steps​

Answers

Answer:

  you need to show the number is prime

Step-by-step explanation:

To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.

The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...

  2^7 -1 = 128 -1 = 127

The sum of digits is 10, which is not a multiple of 3: not divisible by 3.

The units digit is 7, not 0 or 5: not divisible by 5.

The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.

We know that 11² = 121, so 127 is not divisible by 11.

All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.

_____

Additional comment

It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.

You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.

Find the value of x that makes △DEF∼△XYZ.

Answers

Answer:

x = 5

Step-by-step explanation:

5×2 = 10

8×2 = 16

so

2(3x-5) = 20

3x-5 = 10

3x = 15

x = 5

You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a

Answers

Answer:

15 batteries

Step-by-step explanation:

a. We have

5 batteries = 3 days

5 batteries/3 days = 1

5 batteries/3 days

we need to convert this to 9 days, so

x amount of batteries = 9 days

x batteries / 9 days = 1

5 batteries / 3 days = x batteries / 9 days

b.

5 batteries / 3 days = x batteries / 9 days

multiply both sides by 9 days to get rid of the denominators as well as the days variable

5 batteries * 9 days / 3 days = x batteries

5 batteries * 3 = x batteries

15 batteries = x batteries

x = 15

The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of batteries required for 9 days trip.

a) So, the proportion is

3 : 5 :: 9 : x

b) Solve for x, that is

3x=45

⇒ x=15

Therefore, the number of batteries required for 9 days trip is 15.

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There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many students did their homework?

Answers

19 students did their hw

Estimate the product. Round each factor to the nearest whole number, and then multiply.

0.9 × 1.084

Answers

0.10 x 2.000 = 0.2

0.9 = 0.10

1.084=2.000

I need help with this Graph!

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary). (-6,3) and (3, -9)

find leg number 1 and leg number 2 and the distance​

Answers

Answer:

Step-by-step explanation:

The distance between two points (-6, 3) and (3, -9) is 10.81 units.

We have a graph a right triangle with the two points A(-6,3) and B(3, -9) forming the hypotenuse.

We have find the distance between the two points using only the sides of the right triangle.

What is the formula to find the distance between the two points on Cartesian plane ?

The distance between two points -

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

According to the question, we have -

Coordinates of Point A = (- 6, 3)

Coordinates of Point C = (3, -9)

Now -

Coordinates of Point B will be (- 6, -9) [formed by the intersection of sides].

Distance AB -

[tex]AB = \sqrt {\left( {-6 - (-6) } \right)^2 + \left( {3 - (-9 } \right)^2 }[/tex]  = 6 units

Distance BC -

[tex]BC = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {-9 - (-9 } \right)^2 }[/tex] = 9 units

Using the Pythagoras theorem -

[tex](AC)^{2} =(AB)^{2} +(BC)^{2}[/tex]

[tex](AC)^{2} =[/tex] 36 + 81

AC = [tex]\sqrt{117}[/tex] = 10.81

Hence, the distance between two points (-6, 3) and (3, -9) is 10.81 units.

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I FORGOT TO PUT THE ANSWERS SORRY PLEASE HELP​

Answers

Answer:

Step-by-step explanation:

Circumscribed means written around the outside. -scribe means writing and

think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.

So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).

Circle A is inscribed in triangle RST.

Answer:

Inscribed

Step-by-step explanation:

What is polygon inscribe?

When a polygon is inscribed inside another polygon it is called polygon inscribe.Here Circle A is drawn inside ∆RST so it's inscribed.

3
3
3
3
3
I pentagon
2 pentagons
3 pentagons
Represent the relationship using a table. Complete the table below.
Number of Perimeter,
Pentagons, X
1
Ordered
Pair (x,y)
2
3
(Simplify your answers.

Answers

The relationship between the number of pentagons and the perimeter will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

From the diagram in the question, each side of a pentagon has length [tex]3units[/tex].

Also, each time another pentagon is attached, a side is removed.

Using these observations, we can create a relationship between the number of pentagons, [tex]x[/tex], and the perimeter, [tex]y[/tex], as follows

For [tex]x=\text{number of sides}=1[/tex]

[tex]y=\text{perimeter}=3\times 5=15units[/tex]

For [tex]x=2[/tex]

[tex]y=3\times5+3\times5-1\\=15+15-1\\=29units[/tex]

For [tex]x=3[/tex]

[tex]y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units[/tex]

The relationship will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

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can someone please help me i need to show the working out too

Answers

Answer:

(1) x=15/2

(2) x=1

Step-by-step explanation:

(1) 4x−1 /2 =x+7

2x+ −1 /2 =x+7(Distribute)

2x+ −1 /2 =x+7

Step 2: Subtract x from both sides.

2x+ −1 /2 −x=x+7−x

x+ −1 /2 =7

Step 3: Add 1/2 to both sides.

x+ −1 /2 + 1 /2 =7+ 1 /2

x= 15 /2

(2) 3x+2=( 2x+13)/ 3

3x+2= 2 /3 x+ 13 /3  (Distribute)

3x+2= 2 /3 x+ 13 /3

Step 2: Subtract 2/3x from both sides.

3x+2− 2 /3 x= 2 /3 x+ 13 /3 − 2 /3 x

7 /3 x+2= 13 /3

Step 3: Subtract 2 from both sides.

7 /3 x+2−2= 13 /3 −2

7 /3 x= 7 /3

Step 4: Multiply both sides by 3/7.

( 3 /7 )*( 7 /3 x)=( 3 /7 )*( 7 /3 )

X=1

A number more than 1.

Answers

Answer:

there is no more number than one

Step-by-step explanation:

Infinity and beyond!

Kate took out a subsidized Stafford loan worth $9,710 to pay for college. The interest rate on the loan was 5. 9%, compounded monthly. It took Kate 5 years to pay off the loan after graduation. What portion of the total amount she paid represented the interest? a. $11,236. 22 b. $9,710. 00 c. $1,526. 22 d. $2,942. 37.

Answers

Answer:

the answer is 10,0000

Step-by-step explanation:

Calculate the volume of a regular octahedron whose edges are all 10 cm (do not use the formula to find the volume)​

Answers

Answer:

V≈471.4cm³

Step-by-step explanation:

V =

[tex] \frac{1}{3} \times \sqrt{2} \times {a}^{3} [/tex]

V= 471.4

Answer:

Solution :

Here we have given that the all edges if octahedron are 10 cm. We need to find the volume of regular octahedron.

[tex] \rule{300}{1.5}[/tex]

As we know that the formula of volume of octahedron is :

[tex]\longrightarrow{\pmb{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]

Substituting all the given values in the formula to find the volume of regular octahedron :

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10)}^{3}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10 \times 10 \times 10)}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(1000)}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{ \sqrt{2} }{3} \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = 0.471404 \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{\underline{\underline{\red{Volume_{(Octahedron)} \approx 471.404 \: {cm}^{3}}}}}}}[/tex]

Hence, the volume of regular octahedron is 471.404 cm³.

[tex] \rule{300}{1.5}[/tex]

Evaluate the expression when b=-4 and y=2.
2y-b

Answers

The correct answer is 8
2y-b
2(2)-(-4)
4+4
8

7. I am currently 5 times as old as my daughter. In 6 years from now. I will be three times as old she will be then. Find our current ages.


i will mark that answer as brainlist who's answer was correct and can send me ASAP

Answers

Answer:

Daughter is 6 , mother is 30.

Step-by-step explanation:

Darren got 39 out of the 52 questions correct on a test. What percent of the questions did he get correct?

Answers

Answer:

75%

Step-by-step explanation:

Here are step-by-step instructions showing you how we calculated 39 out of 52 as a percentage:

The first step is to divide 39 by 52 to get the answer in decimal form:

39 / 52 = 0.7500

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.7500 * 100 = 75.00%

what is the set of all the output values in a function called?

Answers

Answer:

Set Y I’m pretty sure

Step-by-step explanation:

Find the inverse function. f(x) = Vx - 1+4​

Answers

Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) =  (x - 4)³ + 1.

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]

y =  [tex]\sqrt[3]{x-1} + 4[/tex]

Calculate the inverse of the function as shown below,

Replace x with y,

x = [tex]\sqrt[3]{y-1} + 4[/tex]

x - 4 = [tex]\sqrt[3]{y- 1}[/tex]

Cube both sides,

(x - 4)³ = y - 1

y = (x - 4)³ + 1

Thus, f⁻¹(x) =  (x - 4)³ + 1

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EASY QUESTION! MARK BRAINLIEST!

if i pay $3.50 a month how much do i pay a year? :)))

Answers

Answer:

42

Step-by-step explanation:

3.50x12 = 42

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