What are the two equations created by the inequality |x–12| + 5 < 27? y1= and y2=

Answers

Answer 1
First we rewrite the expression:
 | x-12 | <27-5
 | x-12 | <22
 Then
 We write the problem as a compound inequality:
 -22 <x-12 <22
 From here, we obtain 2 equations:
 -22 <x-12
 x-12 <22
 Rewriting:
 -x + 12> 22
 x-12 <22
 Answer:
 the two equations created by the inequality | x-12 | + 5 <27 are: 
 
-x + 12> 22
 x-12 <22
Answer 2

Answer:

y1= |x-12|

y2= 22

Which graph represents the two functions? Graph 3

Step-by-step explanation:


Related Questions

Help, what even is this?

Answers

This is known as a piecewise function. It's a function that depends on what t is valued at. There are three cases

If [tex]0 \ \textless \ t \le 30[/tex] then f(t) = 0. This means that for the first 30 minutes, the cost is $0, in other words the first half hour is free.

If [tex]30 \ \textless \ t \le 90[/tex] then f(t) = 5 indicating that the cost is $5 for the entire span from 30 minutes to 90 minutes (excluding t = 30 but including t = 90). Choice B is not the answer because the cost isn't $5 per minute. The cost for this entire timespan is simply $5

Finally, if t > 90, then f(t) = 10 telling us that any time value over 90 minutes will have the cost be $10. This is why the answer is choice D

Use the equation you have written above determine the cost for each bracelet. Show the algebraic steps that it takes to find the answer. Provide your conclusion.

Answers

i dont see the problem sorry

the public library has an approximate length of 1 x 10^5 millimeters and width of 8 x 10^4 millimeters. what is the area, in square milliters, of the public library?


a. 8 x 10^9 square millimeters

b. 9 x 10^9 square millimeters

c. 8 x 10^20 square millimeters

d. 9 x 10^20 square millimeters

Answers

Area = length*width
.. = (1*10^5 mm)*(8*10^4 mm)
.. = (1*8)*10^(5+4) mm^2
.. = 8*10^9 mm^2

Selection A is appropriate.

Elio makes candles that are 14 cm tall. Each candle burns 8 hours before going out. He is wondering how many hours a 21 cm tall candle can burn for. He assumes that the relationship between the height of a candle and number of hours it burns (h) is proportional. How long can a 21 cm tall candle burn for?

Answers

Elio is right in assuming the relationship between the height and the hours it burns is proportional.

Find the unit rate

14 ÷ 8 = 1.75 cm/h

Divide

21 ÷ 1.75 = 12

You can set this up as an algebraic equation to check the answer.

If the candle is 21 cm tall, it will burn for 12 hours.

Hope this helped you! :)

A drawer contains 9 black socks, 8 gray socks, and 7 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the two socks you draw are the same color?

Answers

HI!
First of all, there are total 9 + 8 + 7 = 24 socks.
Probability of a black socks in a row is 9/24
Probability of the second black socks without replacement, if first one was black, is 8/23
Therefore the probability of the 2 black socks in a row are 3/23 (I multiplied the two)
Using the same technique, the p of 2 gray socks are 7/69
The p of 2 blue socks are 7/92
Now you add them up, and you get 85/276 as your answer
Let me know if there are any other questions!

is y=0.8(2.1)x exponential growth or exponential decay

Answers

The growth factor (2.1) is larger than 1, so the model represents exponential growth.
The answer is:  "exponential growth" .
______________________________________________________
Given:  y = (0.8)(2.1)ˣ 
______________________________________________________
Let us make a table and plug in some "x" values and see what the "y" values are:
______________________________________________________
  x   |  y
_______________
  1   |  1.68
_______________
  2  |  3.528
_______________
  3  |  7.4088
__________________________________________________________

The answer is:  "exponential growth" .
__________________________________________________________
As "x" increases, "y" increases (by more than a linear relationship/proportion).
__________________________________________________________

Suppose a life insurance company sells a ​$250,000 ​one-year term life insurance policy to a 20​-year-old female for ​$320. The probability that the female survives the year is 0.999647. Compute and interpret the expected value of this policy to the insurance company.

Answers

The expected value is equivalent to the current receivable payment minus any potential payouts. The insurance company is assured of the $320 payment they will receive. Then the probability that the female will not survive the year is 1 - 0.999647 = 0.000353. We multiply this probability by the value of $250,000 to get $88.25. Then we subtract $320 - $88.25 to get the expected value of $231.75.

A doctor's office mails a survey to each of its patients. The results of the survey are based off of the total number of patients.

Which of the following could affect the outcome of their surveys?

A.The results could be flawed because the sample population was too large.

B.The results could be flawed due to a wide range of topics in the questions.

C.The survey is biased because they are only asking patients.

D.The results could be flawed due to non-response of patients.

Answers

D.The results could be flawed due to non-response of patients.

Answer:

The results could be flawed due to non-response of patients.

Step-by-step explanation:

A doctor's office mails a survey to each of its patients. The results of the survey are based off of the total number of patients. The office is mailing the patients. It is very likely that patients do not read out the survey mail. So, they cannot respond to the survey or a very few patients will respond back. So, option 4th is the correct. The results could be flawed due to non-response of patients.

Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase per time period.

y=10(0.2)^t

Plz help!

Answers

See also https://brainly.com/question/8975313

The decay factor is 0.2.

The change per period is (0.2 -1)*100% = -80%. The negative sign means it is a decrease of 80% per period.

dolores is selling cucumbers from her backyard garden her garden is 48 square feet in total and she can grow 1 cucumber every 72 square inches if she can successfully grow cucumbers in every square foot of the garden and sell them for $2.50 each how much will she make?

Answers

Final answer:

Dolores will make $240 by growing and selling all the cucumbers possible in her 48 square feet garden, with each cucumber selling for $2.50.

Explanation:

To calculate the amount of money Dolores will make from selling cucumbers, we need to determine how many cucumbers she can grow in her 48 square feet garden, and then multiply that number by the selling price of $2.50 per cucumber. First, we'll convert the area of her garden into square inches since we know a cucumber takes up 72 square inches of space:

48 square feet × 144 square inches per square foot = 6,912 square inches.

Next, we divide this by the amount of space needed for one cucumber to find the total number of cucumbers she can grow:

6,912 square inches ÷ 72 square inches per cucumber = 96 cucumbers.

Finally, we'll multiply the number of cucumbers by the selling price:

96 cucumbers × $2.50 per cucumber = $240.

Therefore, Dolores will make $240 by selling all the cucumbers she can grow in her garden.

Don't want any answers, just how to solve, step by step. please :)

Answers

[tex]\bf \sqrt[3]{875x^5y^9}\quad \begin{cases} 875=5\cdot 5\cdot 5\cdot 7\\ \qquad 5^3\cdot 7 \end{cases}\implies \sqrt[3]{5^35x^{3+2}y^{3\cdot 3}} \\\\\\ \sqrt[3]{5^35x^3x^2(y^3)^3}\implies 5x(y)^3\sqrt[3]{5x^2}\implies 5xy^3\sqrt[3]{5x^2}[/tex]

You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.

Answers

I teach 9 and 6 hours respectively

Left diagram:

In this diagram you show three quarters of the hours.

We have then:

(3/4) * (12) = 9

Answer:

You teach 9 hours.

Right diagram:

In this diagram you teach half of the hours.

We have then:

(2/4) * (12) = 6

Answer:

You teach 6 hours

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You tutored for 6 hours, your friend tutored for 6 hours as well.

Image:

You and a friend listen for a total of 2 hours.

You

Friend

You

The image shows a tape diagram with two sections labeled "You" and "Friend". The "You" section is longer than the "Friend" section, indicating that you tutored for more hours than your friend.

To find the number of hours that you tutored, we can divide the total number of hours tutored (12 hours) by the number of sections in the tape diagram (2).

Number of hours you tutored = 12 hours / 2 sections = 6 hours

Therefore, you tutored for 6 hours.

Explanation of tape diagrams:

A tape diagram is a visual representation of a mathematical equation. It is a horizontal bar that is divided into sections, with each section representing a different quantity. The length of each section represents the size of the quantity it represents.

Tape diagrams can be used to solve a variety of mathematical problems, including addition, subtraction, multiplication, and division problems. They are especially useful for solving problems that involve multiple quantities, as they can help to visualize the relationships between the different quantities.

In this case, the tape diagram is used to solve the following problem:

> You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.

The tape diagram is divided into two sections, one for you and one for your friend. The length of each section represents the number of hours that each person tutored. Since you tutored for more hours than your friend, the "You" section is longer than the "Friend" section.

To find the number of hours that you tutored, we can divide the total number of hours tutored (12 hours) by the number of sections in the tape diagram (2). This gives us the number of hours that you tutored, which is 6 hours.

Therefore, the answer to the question is "You tutored for 6 hours."

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The area of the rectangle shown is given by the function A(x) = 2x2 - 5x. If the width of the rectangle is 13, what is the area

Answers

If the width of the reactangle is x=13, the area of the rectangle is:
A(13)=2*(13)^2-5*(13)
A(13)=2*(169)-65
A(13)=338-65
A(13)=273

The area of the rectangle is 273 square units 

The area of the rectangle is 273 square units.

The task is to find the area of a rectangle where the width of the rectangle is given as 13, and the area as a function of x is provided as A(x) = 2x² - 5x.

To find the area, we need the value of x that corresponds to the width. Since the width is 13, we set x as 13 and substitute it into the area function.

A(13) = 2(13)² - 5(13) = 2(169) - 65 = 338 - 65 = 273 square units.

Thus, the area of the rectangle is 273 square units.

algebra 2 unit 2 question. connexus.

Answers

Which equation is most likely represented by the graph above??

 The correct answer is the first option: y=(2x-1)(2x-3)(2x+5)

 Because: if you give values to the variable "x" and graphic each point calculated, you will obtain the graph above. For example:

If x=-3/2:

 y=(2x-1)(2x-3)(2x+5)
 y=(2(-3/2)-1)(2(-3/2)-3)(2(-3/2)+5)
 y=48 (As you can see in the graph)

 If x=0:

 y=(2x-1)(2x-3)(2x+5)
 y=(2(1)-1)(2(1)-3)(2(1)+5)
 y=15 (It is shown in the graph)

 If x=1:

 y=(2x-1)(2x-3)(2x+5)
 y=(2(1)-1)(2(1)-3)(2(1)+5)
 y=-7  (As you can see the graph attached)

given the conversion factor 3.28 ft/ 1m which cube above has the larger surface area

cube A is 7’ cube b is 2m

Answers

The first thing that we are going to do in passing everything to the same unit.
 We have then:
 Cube A:
 7 * (1 / 3.28) = 2.13 m
 Cube B:
 2 m
 The surface area of a cube is:
 A = 6 * L ^ 2
 Where,
 L: side
 Since cube A has a longer side (2.13m) then it will have the largest surface area.
 Answer: 
 Cube A has the larger surface area

Final answer:

After converting Cube B's side length to feet, Cube A has a surface area of 294 ft² while Cube B has a surface area of 258.2016 ft², making Cube A the one with the larger surface area.

Explanation:

To determine which cube has the larger surface area, we must work with a common unit of measurement for both cubes. We'll convert Cube B from meters to feet using the conversion factor 3.28 ft/1m.
For Cube A with a side length of 7 feet, the surface area (SA) is calculated by the formula SA = 6 × s² (where 's' is the side length).
SA (Cube A) = 6 × (7 ft)² = 6 × 49 ft² = 294 ft².
For Cube B with a side length of 2 meters, we first convert meters to feet: 2 m × 3.28 ft/m = 6.56 ft. So, the surface area of Cube B becomes:
SA (Cube B) =  6 × (6.56 ft)² = 6 × 43.0336 ft² = 258.2016 ft².
Between Cube A and Cube B, Cube A has the larger surface area.

Alegbra 2 honors need help

Answers


(2^3)(2^-4) = 2^(3-4) = 2^-1 = 1/2

answer is D.
add exponents and keep the same base.then find the reciprocal and change the sign of the exponent

Answer:

Step-by-step explanation:

2^3)(2^-4) = 2^(3-4) = 2^-1 = 1/2

answer is D.

add exponents and keep the same base.then find the reciprocal and change the sign of the exponent

Which expression is equivalent to the expression below?

Answers

it is the last answer you can tell by simplyfiying

Answer:

C. [tex]\dfrac{1}{(m-4)(m-3)}[/tex]

Step-by-step explanation:

First note that

[tex]m^2-16=(m+4)(m-4) \quad \text {and} \quad m^2-9=(m+3)(m-3)[/tex]

On the other hand, the expression from the question is equivalent to

[tex]\dfrac{m+3}{m^2-16} \cdot \dfrac{m+4}{m^2-9}=\dfrac{m+3}{(m+4)(m-4)}\dfrac{m+4}{(m+3)(m-3)}[/tex]

we cancel the equal terms in the numerator and the denominator and finally we get that our expression is equivalent to

[tex]\dfrac{1}{(m-4)(m-3)}[/tex]

Write the standard equation of a circle that passes through (1, −6) with center (7, −2).

Answers

The standard equation of the circumference is given by:
 (x ─ a) ^ 2 + (and ─ b) ^ 2 = r ^ 2
 Where,
 The ordered pair (a, b) represents the center of the circle.
 The radius of the circumference is r.
 In this case to find the radius of the circumference we must find the distance between the points (1, -6) and (7, -2).
 We have then:
 r = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
 r = root ((7-1) ^ 2 + (-2 - (- 6)) ^ 2)
 r = 2 * root (13)
 The equation of the circumference will be:
 (x ─ 7) ^ 2 + (y + 2) ^ 2 = (2 * root (13)) ^ 2
 (x ─ 7) ^ 2 + (y + 2) ^ 2 = 52
 Answer:
 (x ─ 7) ^ 2 + (y + 2) ^ 2 = 52

Look at the isosceles trapezoid below.

Answers

Answer:

Not enough information to decide

Step-by-step explanation:

If m were the midline, its length would be 32/2 = 16 cm. However, there is nothing in the figure to indicate that is the case. There is not enough information to decide.

​ Quadrilateral ABCD ​ is inscribed in this circle.



What is the measure of ∠A

Answers

180-74= 106
106 degerees.
If a quadrilateral is inscribed in a circle, then opposite angles are supplementary.

m<A + m<C = 180

m<A + 74 = 180

m<A = 106

Which rule describes the translation? T–3, –2(x, y) T–3, 2(x, y) T3, –2(x, y) T3, 2(x, y) 
SOMEONE PLEASE ANSWER PLEASE 

Answers

The rule which describes the translation of the figure is T–3, –2(x, y).

The translation T(x, y) → (x – h, y – k) moves a point (x, y) to a new point (x – h, y – k).

T–3, –2(x, y) moves the point 3 units to the right and 2 units down.

T–3, 2(x, y) moves the point 3 units to the right and 2 units up.

T3, –2(x, y) moves the point 3 units to the left and 2 units down.

T3, 2(x, y) moves the point 3 units to the left and 2 units up.

So the answer is T–3, –2(x, y).

Here is a table that shows the effect of each translation on the point (3, 4):

Original point | Translation | New point

(3, 4) | T–3, –2(x, y) | (0, 2)

(3, 4) | T–3, 2(x, y) | (6, 6)

(3, 4) | T3, –2(x, y) | (6, 2)

(3, 4) | T3, 2(x, y) | (0, 6)

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helpppppppppppppppppppppppppp

Answers

Answer:
3x^2 (y^5)^1/4 which is the first choice

Explanation:
The fourth root means that the bracket under has the root has a power of 1/4.
So, the given expression is:
(81 * x^8 * y^5)^1/4
Now, we will distribute the power as follows:
(81 * x^8 * y^5)^1/4 = (81)^1/4 * (x^8)^1/4 * (y^5)^1/4
                               = 3 * x^2 * y^5/4
This expression is equivalent to:
3x^2 (y^5)^1/4 which is the first choice

Hope this helps :)

HELP ASAP!!
Given: ABCD is a parallelogram.
Prove: ∠A and ∠D are supplementary.

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are ? angles. Because AB and DC are ? , the same-side interior angles must be ? by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Answers

sorry this is so late but the answers are: same-side interior, parallel, and supplementary

A parallelogram is a quadrilateral with four sides. The opposite sides of the parallelogram are equal and parallel.

In the given figure, AB||DC. AD is the transversal, such that:

∠A + ∠D = 180-degrees.

The parallelogram is a quadrilateral with equal and parallel sides, such that the interior angles present on the same side of the transversal are supplementary.

The sum of supplementary angles is equal to 180-degrees.

From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.

Since, in the parallelogram ABCD, AD is the transversal.

From the property of transversal, the interior angles on the same side of the transversal are supplementary.

Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.

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help help quickly!!!!!

Answers

[tex]\left( \frac{750}{512}\right)^{ \frac{1}{3} } = \sqrt[3]{ \frac{750}{512} }= \frac{ \sqrt[3]{750} }{ \sqrt[3]{512} }= \frac{5}{8} \sqrt[3]{6} [/tex]

The correct answers are A, B and C
i did solve the problem, the answer is the second choice, pl follow the steps
hope it helps

do you agree? explain why or why not

Answers

no. when plugging 4 into the equation, 0 is not the final result. instead it is 6. 

square root of 2(4)+1 = square root of 9 = 3 

3+3 = 6
and 6 is not 0 so x cannot = 4

A student concluded that the solution of the equation [tex]\sqrt{2x+1}+3 = 0[/tex] is x = 4. The conclusion is true.

What is a perfect square?

Perfect squares are those integers whose square root is an integer.

Let x-a be the closest perfect square less than x,

and let x+b be the closest perfect square more than x, then we get x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

Then, we get:

[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]

[tex]\sqrt{2x+1}+3 = 0\\\\\sqrt{2x+1}= -3[/tex]

by taking square on both sides we get

[tex](\sqrt{2x+1})^2 = (- 3)^2 \\\\2x+ 1 = 9[/tex]

when x = 4

2(4) + 1

= 9

Thus, the solution of the equation is 4.

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Consider this system of linear equations:

y = –3x + 5

y = mx + b

Which values of m and b will create a system of linear equations with no solution?

m = –3 and b = –3
m = 5 and b = –3
m = 3 and b = 5
m = 5 and b = –3

Engenuity answer is m= -3 and B= -3

Answers

Answer: m = - 3 and b = - 3.

Justification:

A system of linear equations will not have solutions if the two lines are parallel.

Two equations are parallel if their slopes (m) are equal and the y-intercep (b) are different.

Since the given equation is y = - 3x + 5, the value of m of the other equation, y = mx + b, in order to make a system with no solution, needs to be  - 3, and the value of b need to be different to 5.

The only pair from the choices that meets that is the first option m = - 3 and b = -3.

m = –3 and b = –3 or A

This figure shows circle O with diameter QS . mRSQ=290∘ What is the measure of ∠ROQ ? Enter your answer in the box. °

Answers

the complete question in the attached figure
we know that
mRSQ=290°
and 
mRSQ+mORQ=360°
therefore
mORQ=360°-mRSQ---------------> mORQ=360°-290°=70°

the answer is 70°

Answer: 70 I just took the test!


Step-by-step explanation:


What is the cricket’s hang time (amount of time the cricket is airborne)? Round to the nearest thousandth h(t) = –16t2 + 14t

Answers

we have that
h(t) = –16t² + 14t
using a graph tool
see the attached figure

the cricket’s hang time is the difference  between point (0,0) and (0.875,0)
(0.875-0)=0.875 sec

the answer is 0.875 sec

The hang out time is 0.875 sec.

What is Quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x²(a>0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are often expressed as integral values rather than fractions or decimals.

Given Equation:

h(t) = –16t² + 14t

For the Hangout time we can consider the function h(t)=0

0 =  –16t² + 14t

16t² = 14t

16t= 14

t= 14/16

t= 0.875 sec

Hence, the hang out time is 0.875 sec.

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Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain for this function?

Answers

0 to 100 miles per hour is the answer so now can i get a hug

o to 100 miles per hour

Helen's Shop is 60 meters wide and 80 meters long. The parking lot in front of Helen's Shop is twice as long as it is wide and is 50 meters wide.What is the sum of the area of Helen's Shop and the parking lot?

Answers

i did that in school the answer is 29 because the 50 must be subtracted by the 80 trust me then when u get 20 add it with 60

Answer:

9,800

Step-by-step explanation:

Helen's Shop

60 m x 80 m = 4,800 m2

Parking Lot

Length = 2 × 50 m = 100 m

Area = 50 m × 100 m = 5,000 m2

Final Answer

4,800 m2 + 5,000 m2 = 9,800 m2

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