considering the function for what values of x is f constant Options: (negative infinity,10]never(10,15)[15, infinity)
![Considering The Function For What Values Of X Is F Constant Options: (negative Infinity,10]never(10,15)[15,](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/Znruzsgz92dxsilmlPCmJcr0BwwVCtAZ.jpeg)
Answers
So, as shown at the function
f(x) is constant at the middle interval (10 , 15)
at which f(x) = 2 and the digit 2 is constant
so, the answer is (10 , 15)
Related Questions
At a high school, the cafeteria staff provides optional comment cards to students eating in the cafeteria. Students who wish to make a comment can obtain and fill out a comment card and return it to a drop box in the front office. At the end of the semester, the staff analyzes the responses and finds that 72% of the students who filled out a comment card recommend major changes to the food selection. What conclusions can the cafeteria staff draw from these responses?.
Answers
Based on the described sampling approach, it should be concluded that the responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions. (Option D).
Voluntary response sample refers to a response sample in which the researcher puts out a request for population members to join the sample, and the decision of whether or not to be in the sample resides with the people. As it is a sample comprising of voluntarily participants, people who chose to participate usually do so as they have a strong opinion on the subject of the survey. Typically, voluntary response samples oversample members with strong opinions and under sample members with little to no opinion on the subject of the survey. Hence, inferences from a voluntary response sample are not as reliable as conclusions based on a random sample of the entire population under consideration.
Note: Question is incomplete. The options were missing which are a. Since all of the students had an opportunity to respond, this is evidence that a majority of all the students supports major changes. b. The cafeteria staff should not use the results to draw any conclusions since some students may not have filled out a comment card, which is nonresponse. c. If the students recorded their grade level with their response, the staff could make the original sample a stratified sample and use the responses to learn what proportion of each grade recommends major changes to food selection. d. The responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions. e. The opportunity to fill out comment cards should be offered to students at all high schools in the school district to get a larger sample size, which will make the results more reliable
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HELP ME PLEASE ASAP!!!
2. Use the space provide to respond to each statement concerning the given graph of a radical function.
a.) State the domain of the function.
b.) State the range of the function.
c.) Identify the end behavior of the function.
d.) Identify the y – intercept. Write as an ordered pair.
e.) Explain how you know this function is increasing?
Answers
Part a
The domain is the set of x-values, which is [tex](-\infty, \infty)[/tex].
Part b
The range is the set of y-values, which is [tex](-\infty, \infty)[/tex].
Part c
As [tex]x \to \infty[/tex], [tex]y \to \infty[/tex], and as [tex]x \to -\infty[/tex], [tex]y \to -\infty[/tex].
Part d
The y-intercept is when x=0, which is [tex](0, 1)[/tex].
Part e
The function is increasing when y increases as x increases, which is true for this function.
7/5 convert improper fractions
Answers
Answer:
1 2/5
Step-by-step explanation:
Improper Fraction - A fraction that has a numerator that is larger than the denominator
Mixed Fraction - A fraction with a whole number, or a quotient with its remainder
In order to convert improper fractions to mixed fractions, you must divide the numerator by the denominator.
So, 7/5 = 7 ÷ 5 = 1 2/5
The quotient being 1, and the remainder being 2/5 because there is 2 left out of the 5.
Estelle is having her birthday party at Gold Frames Art Museum this year. A party package
costs $265 and covers the entrance fee for guests, a private party room, and an activity
guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the
total to $305.
Which equation can you use to find f, the cost of each favor?
265(f+ 8) = 305
265f + 8 = 305
How much did each favor cost?
Submit
8f +265 305
8(f+265): = 305
Answers
By using proportions, it is discovered that each favor costs $5.
Using the rule of three and proportions, this problem can be resolved.
The party's price is increased by $40 with the addition of 8 favors.
A proportion is an equation that sets two ratios at the same value.
How much does one favor cost?Using the rule of three and proportions, this problem can be resolved.
The party's price is increased by $40 with the addition of 8 favors.
The threes rule states:
$40 for 8 favors
$1 for 1 favor
Cross-multiplication application
8x=40
x= 40/8
x = 5
There is a $5 fee for each favor.
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4).
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Rewrite the expression using only positive integer exponents. (m2/3n-1/3)^5
Answers
When the expression (m²/³ n⁻¹/³)⁵ is rewritten, the equivalent expression is ∛m¹⁰n⁻⁵
How to rewrite the expression?From the question, the expression is given as
(m2/3n-1/3)^5
Rewrite the expression properly
So, we have the following representation
(m²/³ n⁻¹/³)⁵
Express the radicals as roots
So, we have
(m²/³ n⁻¹/³)⁵ = (∛m² ∛n⁻¹)⁵
Remove the brackets in the expression
This is done by multiplying the exponents
So, we have
(m²/³ n⁻¹/³)⁵ = (∛m¹⁰ ∛n⁻⁵)
Combine the roots
(m²/³ n⁻¹/³)⁵ = ∛m¹⁰n⁻⁵
Hence, the equivalent expression is ∛m¹⁰n⁻⁵
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The required simplified expression is given as ∛[m¹⁰/n⁵].
Given that,
For an expression (m²/³n-¹/³)⁵ we have to deduce the function that the solution only consists of the positive integer exponents.
Here,
Rewriting the given expression,
= (m²/³n-¹/³)⁵
Simplifying the expression,
using the property, (xᵃ)ᵇ = xᵃᵇ
= m¹⁰/³n⁻⁵/³
= [m¹⁰n⁻⁵]¹/³
we imply cube root for the exponent 1/3.
= ∛[m¹⁰n⁻⁵]
= ∛[m¹⁰/n⁵] (using the property x⁻¹ = 1 / x )
Thus, the required simplified expression is given as ∛[m¹⁰/n⁵].
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How tall is a building that casts a 71-ft shadow when the angle of elevation of the sun is 29 degrees.Round to the nearest foot
Answers
Solution
We will draw a diagram to illustrate the information
Using the concept of SOHCAHTOA
We are given adjacent and we want to find opposite
[tex]\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ tan29=\frac{H}{71} \\ cross\text{ multiply} \\ H=71tan29 \\ H=39.35594265 \\ H=39ft \end{gathered}[/tex]Therefore, the answer is
[tex]undefined[/tex]The equation y = -16x² +96x + 20 models the height, in feet, after a seconds, of a toy rocket
that is launched from a cliff that is 20 feet (ft) above the ground.
Use the above information to answer the questions below. Round all answers to the tenthplace.
Answers
Answer:
No questions are shown. See attached graph for more details.
Step-by-step explanation:
See attachment
3. Given the perimeter of the figure is 76 ft, Find
the dimensions of the shape.
(4x-5) ft
(25-x) ft
(13 + x) ft
T
(3x + 1) ft
Answers
The most appropriate choice for perimeter of a shape will be given by-
UT = 19 ft
ST = 19 ft
RS = 19 ft
UR = 19 ft
What is perimeter of a shape?
Perimeter of a shape is the length of the boundary of the shape.
It is obtained by taking the sum of all the length of the boundary.
Here,
UT = (25 - x) ft
ST = (3x + 1) ft
RS = (13 + x) ft
UR = (4x - 5) ft
Perimeter = UT + ST + RS + UR
= (25 - x + 3x + 1 + 13 + x +4x -5) ft
= (7x + 34) ft
By the problem,
[tex]7x +34 =76\\7x = 76 -34\\7x = 42\\x = \frac{42}{7}\\x =6[/tex]
UT = [tex]25 - 6[/tex] = [tex]19[/tex] ft
ST = [tex]3 \times 6 + 1[/tex] = [tex]19[/tex] ft
RS = [tex]13 + 6 = 19[/tex] ft
UR = [tex]4\times 6 - 5[/tex] = 19 ft
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3. Jackson's soccer coach filled the teams' water container with 40 quarts of
water. Since 32 ounces equal 1 quart, how many times can a soccer player fill a
16-ounce water bottle before using all the water?
Answers
40 times 32 = 1280
40 quarts = 1280 ounces of water
1280 ounces of water divided by 16 ounce water bottle = 80 refills
Greg purchased furniture for his home. He purchased a chair for $320 and a lamp for $55. The store charges 7% sales tax. How much did Greg pay in tax?
Answers
Given:
Price of chair = $320
Price of lamp = $55
Total cost of furniture Greg purchased is = $320 + $55 = $375
Since the store charges a 7% sales tax, it means the amount Greg paid in tax is
7% of Total cost of furniture purchased.
Thus, the amount Greg paid in tax is:
[tex]\frac{7}{100}\times375=\text{ 0.07}\times375=26.25[/tex]The amount Greg paid in tax
Mrs. Harris has 5 blue, 8 red, 3 green, and 7 yellow candies in a bag. If Mrs. Harrisrandomly selects a candy, what is the probability she will select a yellow or blue candy?
Answers
Blue = 5
Red = 8
Green= 3
Yellow= 7
Total candles = 5+8+3+7 = 23
Yellow and blue candles = 7+5 = 12
To find the probability divide the number of blue and yellow candles (12) by the total number of candles.
12/23 = 0.52
In Exercises 1-3, graph AABC and its image after a reflection in the given line.
1. A(0, 2), B(1, -3), C(2, 4); x-axis
1.
2. A(-2,-4), B(6,2), C(3. – 5); y-axis
3. A(4, -1), B(3, 8), C(-1, 1); y = -2
Answers
The figures after each reflection are given at the end of the answer.
Reflection over the x-axis
The rule for the reflection over the x-axis is:
(x,y) -> (x, -y)
Hence the signal of the y-coordinate is changed.
Then the coordinates of the image of triangle ABC are given as follows:
A'(0,-2), B'(1,3) and C(2,-4)
Reflection over the y-axis
The rule for the reflection over the x-axis is:
(x,y) -> (-x, y)
Hence the signal of the x-coordinate is changed.
Then the coordinates of the image of triangle ABC are given as follows:
A'(2,-4), B'(-6,2) and C'(-3,-5)
Reflection over y = -2The rule for the reflection over the line y = -2 is:
(x,y) -> (x, y +/- constant)
The constants for each point are given as follows:
A': -3, hence point (4,-3), as -1 is one unit above y = -2, hence the reflected coordinate will be one unit below.B': -12, hence point (3,-12), as 8 is 10 units above y = -2, hence the reflected coordinate will be ten units below.C': -5, hence point (-1, -5), as 1 is 3 units above y = -2, hence the reflected coordinate will be three units below at y = -5.More can be learned about reflections at https://brainly.com/question/27224272
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a raised rectangular garden is two feet more than three times as long as it is wide. the depth of the pool is half the width. if the length is 11 feet, what is the volume?
Answers
Answer:
49.5ft³
Step-by-step explanation:
If it is 2 ft more than 3 times as long as it is wide then:
l = 3w + 2
which means:
w = (l-2)/3
and:
d = 1/2((l-2)/3)
Now just substitute in 11 for l
w = (11 - 2)/3
w = 9/3
w = 3
d = 1/2((11-2)/3)
d = 1/2(9/3)
d = 1/2(3)
d = 1.5
So the total volume is:
11 * 3 * 1.5
49.5
Which expressions are equivalent to 46 ?Choose all answers that apply:A6 + 2(b + 26)B36 +62(26)
Answers
hello
to solve this question, we just have to find the expression that is equal to 4b
option A
[tex]b+2(b+2b)=b+2b+4b=7b[/tex]option a is incorrect
let's look at option B
[tex]3b+b=4b[/tex]option B is correct
and finally option C
[tex]2(2b)=4b[/tex]option C is correct
from the calculations above, option B and C are the right answers
pls help me super confused on inequality
Answers
Solving ⬇️
40.50×d - 48 ≤ 210
40.50×d ≤ 210 + 48
40.50×d ≤ 258
d ≤ 258÷ 40.50
d ≤ 6.37
Please explain how you get the answer
Answers
The measure of the angle is calculated using the attached figure.
What is an angle?
An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction. Angle can also refer to the measurement of an angle or of a rotation. This measurement is the length of a circular arc divided by its radius. The arc is centered at the vertex in the case of a geometric angle.
From figure,
angle x = 180° - 110° = 70° (linear pair)
angle y = 37° (alternate interior angles)
Measure of angle 1 = 70° + 37° (exterior angle in a triangle is equal to the sum of opposite interior angles)
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Yasmin is making some pancakes. Her recipe makes 6 pancakes.
Flour
Eggs
Milk
100g
2
250ml
Yasmin wants to make 15 pancakes.
Complete the table to show how much she will need of each ingredient.
Answers
Answer:
tbh times them all by 15 and u should get the answers
3 ( x -5 ) = 3x - x - 8
Answers
Answer:
3(x-5) =3x - x - 8
3x-15 = 2x - 8
3x-2x= -8+15
x=7
Step-by-step explanation:
first 3 will multiply by x and -5,which are in bracet like this
3(x-5)= 3x - x -8
after they would became 3x-15 = 2x (because 3x will be subtracted by x) -8
so it will become like this
3x-15=2x-8
after that 3x will be subtracted by 2x like this 3x-2x and -8 will be add in +15 so it would be
x=7
A rental car company charges $76.50 per day to rent a car and $0.06 for every mile driven. Hunter wants to rent a car, knowing that:
He plans to drive 400 miles.
He has at most $330 to spend.
Use the drop-down menu below to write an inequality representing d, the total number of days Hunter can rent the car while staying within his budget.
Answers
The inequality representing d, the total number of days is 76.5d + 24 ≤ 330
How to determine the inequality that represents the scenario?From the question, the given parameters are:
Charges per day = $76.50
Charges per mile = $0.06
This means that the equation that represents the total charges for d days is
Total = Charges per day x Number of days + Charges per mile x Number of miles
So, we have
Total = 76.5 x d + 0.06 x m
Where m represents the number of miles
From the question, we have
He plans to drive 400 miles.He has at most $330 to spend.This means that
m = 400 and Total ≤ 330
So, we have
76.5 x d + 0.06 x 400 ≤ 330
Solve
76.5 x d + 24 ≤ 330
This gives
76.5d + 24 ≤ 330
Hence, the inequality that represents the scenario is 76.5d + 24 ≤ 330
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Determine whether the given pair of lines is parallel, perpendicular, or neither. 3x + 4y = 5 and 6x + 7y= 8 Choose the correct answer below. A. The lines are neither parallel nor perpendicular. B. The lines are perpendicular. C. The lines are parallel.
Answers
If two lines are parallel, then they have the same slope.
If two lines are perpendicular, then the slope of one line is the negative reciprocal of the other line.
The equation of a given line is expressed as
y = mx + b
Where
m represents slope
c represents y intercept
Considering the first equa
Apply the laws of exponents to evaluate the expression.
(0.5) (0.5) 4
(0.5)²
Answers
After evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².
What are exponents?Exponentiation is a mathematical operation that involves the base b and the exponent or power n. It is written as bn and is pronounced as "b to the n." There are four different types of exponents: positive, negative, zero, and rational/fractional. By interpreting the exponent as the total number of times the base number must be multiplied by the same base, one can determine the value of the number. Exponents laws: Keep the base constant when multiplying like bases and add the exponents. Keep the base constant and multiply the exponents when raising a base with power to another power. When dividing with like bases, keep the base constant and deduct the exponents of the numerator and denominator.So, evaluate "(0.5)∧(0.5)∧4 + (0.5)²" using laws of exponents:
Then,
(0.5)∧(0.5)∧4 + (0.5)By law: Power of power rule
(0.5)∧(0.5)×4 + (0.5)(0.5)²+ (0.5)²2(0.5)²Therefore, after evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².
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The correct question is given below:
Apply the laws of exponents to evaluate the expression.
(0.5)∧(0.5)∧4 + (0.5)²
the length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 8 cm/s. when the length is 7 cm and the width is 4 cm, how fast is the area of the rectangle increasing (in cm2/s)?
Answers
The rate at which the area is increasing is 95cm/sec² .
Let us take the variable a to be the length of the rectangle and take the variable to b be the width of the rectangle.
We know that the area of the rectangle is given by A=a × b
Now differentiating with respect to t we get :
[tex]\frac{dA}{dt} = w\times\frac{da}{dt} +l\times\frac{db}{dt}[/tex]
Substituting the values we get that the rate of increase in the area is :
Rate of increase = (32 + 63) cm/sec² = 95 cm/sec²
A constant function is also regarded as linear in this sense because it is a polynomial of degree zero, or the zero polynomial.
A line segment represents the graph of a single variable.In this context, a function that is also a linearly map may be referred to as a homogeneous linear function or a linear form (the other meaning). In the context of linear algebra, the scalar-valued affine mappings are functions of degree 0 or 1.To learn more about area visit:
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Last year the debate club had 25 members. This year there are 37 members in the club. Estimate the percent change in the number of club members.
Answers
Answer:
There was a 48% increase from last year.
Step-by-step explanation:
Last year the debate club had 25 members. This year there are 37 members in the club. Estimate the percent change in the number of club members.
= (37 - 25) / 25
= -12 / 25
= 0.48 or 48%
There was a 48% increase from last year.
check:
25 * 1.48 = 37
Which points are solutions to the system of inequalities shown below?
Check all that apply.
y2 x + 3
y< 2x
X>6
A. (8, 12)
B. (6, 11)
C. (7,10)
D. (5, 10)
E. (8, 10)
F. (9,12)
Answers
Solution for the given Inequality
x > 6 : (6 , 11), (5 , 10)
y < 2x: (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)
What is Inequality?
Inequality of wealth in major cities Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income.
Let us study each inequality and find the right solutions
∵ x > 6
∴ The x-coordinates of the points are 7,8,9
- That means answer A and D is out because its x-coordinate not greater
than 6 ⇒ (6 , 11), (5 , 10),
∵ y < 2x
∴ The y-coordinates of the points are 10,11,12
- That means all are answers because y-coordinates is
not greater than 2x ⇒ (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)
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The line parallel to y=3x+5 that passes through the point (-8,-4)
Answers
Answer:
y = 3x + 20
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 5 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
to find c substitute (- 8, - 4 ) into the partial equation
- 4 = - 24 + c ⇒ c = - 4 + 24 = 20
y = 3x + 20 ← equation of parallel line
Answer:
Step-by-step explanation: From the given point,
The line is: -8x-4y=0
viz, 2x+y=0
Line a is represented by the equation y=−7x+1.
How do these equations compare to line a?
Drag and drop the equations into the boxes to correctly complete the table.
Parallel to line a Perpendicular to line a Neither parallel nor perpendicular to line a
y = 7x - 5 y- = 7x + 3 y = 1/4x + 4
Answers
Answer:
Step-by-step explanation:
what is 3b= 39 can you pleasee help me
Answers
Answer: b=13
Step-by-step explanation:
b=39/3
b=13
Answer: its 13
Step-by-step explanation
I need this answered please
Answers
Answer:
76 child tickets were sold
Step-by-step explanation:
let a represent number of adults and c number of child tickets sold, then
a + c = 165 → (1)
5.8a + 8.9c = 1192.6 → (2)
multiplying (1) by - 5.8 and adding to (2) will eliminate a
- 5.8a - 5.8c = - 957 → (3)
add (2) and (3) term by term to eliminate a
0 + 3.1c = 235.6
3.1c = 235.6 ( divide both sides by 3.1 )
c = 76
that is 76 child tickets were sold that day
how is [tex] {1}^{4} [/tex]differ from [tex] { {0.1}^{4} }^{} [/tex]
Answers
1) According to the exponent's law, any exponent whose base is 1, that yields 1. For example
[tex]\begin{gathered} 1^4=1 \\ 1^3=1 \\ 1^{^{\pi}}=1\text{ } \\ \text{etc.} \end{gathered}[/tex]2) The same does not happen to 0.1
[tex]0.1=\frac{1}{10}^4=\frac{1}{10000}=0.0001[/tex]Since 0.1 is a fraction, we'll raise to the 4th power 1 and 10 simultaneously, as a ratio.
3) So the answer is
[tex]\text{Because 1}^4=1and0.1^4=0.0001[/tex]suppose that you need to build as many chairs as possible. each chair requires one seat, one back, and four legs. if you have 12 seats, 15 backs, and 44 legs, which of the chair components limits the number of chairs you can make? legs seats backs how many chairs can you make with the 12 seats, 15 backs, and 44 legs? what chair components will be leftover after making as many chairs as possible? seats and backs legs and backs seats and legs
Answers
The maximum number of chairs that can be made will be the minimum of 12, 15, and 11. That exists, 11 chairs can be made, limited by the number of available legs.
What is meant by probability?The study of probabilities, which are determined by the ratio of favorable occurrences to probable cases, is known as probability.
The maximum number of chairs that can be made will be the minimum of the number of parts divided by the number of parts required for each chair, as calculated across the various types of parts required.
seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible
backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible
legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible
The maximum number of chairs that can be made will be the minimum of 12, 15, and 11. That exists, 11 chairs can be made, limited by the number of available legs.
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