Answers
Answer:
the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]
Step-by-step explanation:
We need to transform [tex]f(x)=\sqrt{x}[/tex] into g(x) using following translations
1) reflection in the x-axis
The reflection across x-axis will be:
[tex]g(x)=-\sqrt{x}[/tex]
2) Horizontal shrink by a factor of 1/3
The horizontal shrink by a factor of 1/3 will make the function g(x)
[tex]g(x)=-\sqrt{\frac{1}{3} x}[/tex]
3) Vertical translation up 2 units
The vertical translation up 2 units will make the function g(x)
[tex]g(x)=-\sqrt{\frac{1}{3} x}+2[/tex]
So, the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]
Related Questions
What is the value of the expression below 64 5/6
Answers
Answer:
[tex]64\dfrac{5}{6}=\dfrac{389}{6}[/tex]
Step-by-step explanation:
We need to find the value of the expression :
[tex]64\dfrac{5}{6}[/tex]
It is in the form of a mixed fraction. We can simplify it as follows :
[tex]64\dfrac{5}{6}=\dfrac{64\times 6+5}{6}\\\\=\dfrac{389}{6}[/tex]
Hence, the value of the given expression is [tex]\dfrac{389}{6}[/tex].
Answer:
32
Step-by-step explanation:
Allison can work up to 35 hours per week. if she works 5 1/2 hours Monday, 6 hours on Tuesday, and 7 3/4 hours on Wednesday, how many more hours can she work during the week
Answers
Answer:
15 3/4
Step-by-step explanation:
this is simple addition and subtraction
15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine ounces. How many cans of corn should be bought for the dinner?
Answers
Answer:
there should be 5 cans of corn! hope This Helps
Step-by-step explanation:
Answer:
The answer is 5
Step-by-step explanation: You have to multiply the amount of people by the servings a person gets (15*3), you then divide that by the amount of ounces a can has (45/9) the result is 5.
Jada will draw two scale drawings of the same object on 1-cm grid paper. Each centimetre will represent a greater distance in the second
drawing than in the first. Jada claims that the lengths in the second drawing will be longer than the lengths in the first drawing. Do you agree? Give an example of a scale and a measurement to support your answer.
Search entries or author
Answers
Answer:
Jada is wrong. For example, say Jada is drawing scaled versions of a 10x10 yard square. In her first drawing, 1 centimeter = 1 yard, so the drawn square is 10x10 centimeters. In her second drawing, 1 centimeter = 2 yards, which is greater, like the problem says. This drawing will be only 5x5 centimeters, meaning the lengths will be smaller as each centimeter represents a greater number of yards.
In the figure to the right, AE+DC= 1 1/5 m, AB=1 3/4 cm, DE=1 1/4 cm, and BC =1 3/10 cm. Find the perimeter of the figure.
Answers
9514 1404 393
Answer:
5 1/2 cm
Step-by-step explanation:
The perimeter is the sum of the given lengths (in cm):
P = (1 1/5) +(1 3/4) +(1 1/4) +(1 3/10)
= (1 + 1 + 1 + 1) +(2/10 + 3/4 + 1/4 +3/10)
= 4 + 1 5/10
= 5 1/2
The perimeter of the figure is 5 1/2 cm.
Harold cut 18 and a half
inches off a rope that was 60 inches long. How is the length of the remaining rope in inches written in decimal form?
Answers
The length of the remaining rope is 41.5 inches.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Harold cut 18 and a half inches off a rope that was 60 inches long.
Let the remaining length of the rope be x.
This can be written as,
⇒ [tex]x=60-18.5[/tex]
⇒ [tex]x=41.5[/tex]
Hence we can conclude that the length of the remaining rope is 41.5 inches.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
Cal plans to paint a wall that is 9 feet tall and 9 feet long. He buys a can of paint that covers 100 square feet. Which of the following statements apply?
He will have half a can of paint left over.
He will have less than half a can of paint left over.
He will NOT have enough paint.
He will have exactly enough paint.
Answers
Answer:
D
Step-by-step explanation:
that is 100-81
=19
meaning the paint shall be enough
The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. a. Find the probability that a cat will live to be older than 14 years. b. Find the probability that a cat will live between 14 and 18 years. c. If a cat lives to be over 18 years, would that be unusual? Why or why not? d. How old would a cat have to be to be older than 90% of other cats?
Answers
Answer
a. 0.856
b. 0.78071
c. It is not unusual
d. 13.65 years old
Step-by-step explanation:
The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.
We solve this question using z score formula:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
a. Find the probability that a cat will live to be older than 14 years.
For x > 14 years
z = 14 - 15.7/1.6
z = -1.0625
Probability value from Z-Table:
P(x<14) = 0.144
P(x>14) = 1 - P(x<14) = 0.856
b. Find the probability that a cat will live between 14 and 18 years.
For x = 14 years
z = 14 - 15.7/1.6
z = -1.0625
Probability value from Z-Table:
P(x = 14) = 0.144
For x = 18 years
z = 18 - 15.7/1.6
z= 1.4375
Probability value from Z-Table:
P(x = 18) = 0.92471
The probability that a cat will live between 14 and 18 years is calculated as:
P(x = 18) - P(x = 14)
0.92471 - 0.144
= 0.78071
c. If a cat lives to be over 18 years, would that be unusual? Why or why not?
For x > 18 years
z = 18 - 15.7/1.6
z= 1.4375
Probability value from Z-Table:
P(x<18) = 0.92471
P(x>18) = 1 - P(x<18) = 0.075288
Converting this to percentage:
0.075288 × 100 = 7.5288%
Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.
d. How old would a cat have to be to be older than 90% of other cats?
From the question above, 10% of the cats would be older than 90% of other cats.
Hence, we find the z score of the 10th percentile
= -1.282
Hence,
-1.282 = x - 15.7/1.6
Cross Multiply
-1.282 × 1.6 = x - 15.7
- 2.0512 = x - 15.7
x = 15.7 -2.0512
x = 13.6488 years old
Approximately = 13.65 years old
Factor the expression using GCF of 4+22
Answers
Answer:
the answer would be 2(2+11)
Step-by-step explanation:
Solve: 19x2 +
12x2 +5x-4 - 122x+6
O x= 2
x= -5
x = 2, x= -5
no solution
Answers
Answer:
x = 2, x = -5 (The third option)
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for x
As part of her role on the planning committee for the high school prom, Keisha hired
a DJ. The DJ charges $150 per hour for performing plus a $100 flat fee for setup and
takedown. The committee budgeted $1000 for a DJ for the prom. Which of the
following represents the number of performing hours, x, for which the DJ could be
hired to stay within the committee budget.
A) x is less than or equal to 6
B) x is greater than or equal to 6
C)x is less than or equal to 7
D) x is greater than or equal to 7
Answers
x ≤ 6
which is A
or if not then it's B for
x ≥ 6
Sports Plus has a sale on all
baseball cleats for 25% off. If a
pair of cleats is priced at $74.00,
what is the price after the
discount?
Answers
Answer:
$55.5
Step-by-step explanation:
divide 74 by 100 to find out how much 1% of the shoe is and multiply that number by 25 and you will get 18.5 , then subtract 18.5 from 74 and you get $55.5!Hope this helps :)
Quinn is baking cookies for the bake sale at her school using her grandmother recipe. She uses 12.5 cups of flour to make 5 dozen cookies.
Find the constant of proportionality
Answers
Because 12.5 divided by 5 is equal to 2.5
for every dozen she makes she will use 2.5 cups of flour
OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe
Answers
Answer:
No, because a mean is the average.
Step-by-step explanation:
Consider the following example:
The set is:
19, 23, 11, 31
if you add all these up you get 84.
Then you divide by 4 and get 21. So, 21 is the mean but, when you look at the set of numbers, 21 is not there. So, the same goes for any number, a number can still be the mean even if it is not in the set.
If the measure of angle
A = 55 degrees, b = 12,
and c= 7, find a.
Answers
The Global Footprint Network is an organization dedicated to the advancement of environmental sustainability around the world. The organization performed a data analysis of the relationship between Ecological Footprint Consumption per Capita and human development index (HDI) by country. The Ecological Footprint Consumption per Capita represents the demand in land resources imposed by human consumption per person, measured in hectares. The Human Development Index (HDI) metric is a calculation that combines life expectancy, education, and per capita income data in order to rank countries by human development. The Ecological Footprint Consumption per Capita, HDI, and country name data for a set of countries are provided in the data file.Click to download the data in your preferred format. Crunchlt! CSV Excel JMP Mac-Text Minitab PC-Text R SPSS TI Calc Produce a scatterplot with Ecological Footprint Consumption per Capita as the response variable, y, on the vertical axis and HDI as the explanatory variable, x, on the horizontal axis. Identify the names of the countries that are outliers based on the scatterplot, starting with the most extreme outlier, followed by the second-most extreme outlier. Data:Length GRT_min98 14126 11115 27110 20120 2113 2891 1988 12.35107 15111 1490 10117 2496 7117 23117 1286 2896 979 1377 13118 4790 2784 10105 1591 1494 1886 1399 5 120 31118 1388 8.85118 18113 581 69.1797 28103 22.4111 22.75110 9.12112 7.48109 23.6789 57.25114 26.41101 1091 2197 9.48110 17.982 15.22106 21.77117 17.0599 17.93111 36.6579 23.38115 13.2296 23.3896 16.28
Answers
Answer:
i don't get this sorry but i'm going to try ok thanks
Step-by-step explanation:
The answer is 69.1797
what percent of 18 is 24? Side info: the answer is not 75% or 133%!!!
Answers
Answer:
133 1/3 %
Step-by-step explanation:
24/18 = 4/3
4/3 * 100 = 133 1/3 %
Missed that 1/3
Answer:
133.33%Step-by-step explanation:
24 is x% of 18, solving for x:
x = 24/18*100% = 133.33%Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y < -5
Please respond asap
Answers
Answer:
Hope this helps
Step-by-step explanation:
Keenan found a basketball on
sale for 15% off. If it cost
$39.99, what was the sale
price?
Answers
Answer:
$34
Step-by-step explanation:
Take 15% and multiply by $39.99
.15 x 39.99 = 5.99 (or, 6 rounded up)
Then, subtract that from the original price. $39.99 - 5.99 = $34
11) Solve the multiplication equation. Check your answer.
39 = 13y what does y equal?
Answers
Answer:
y = 3
Step-by-step explanation:
39 = 13y
y = 3 (explanation: by dividing 13)
Check answer:
39 = 13(3)
39 = 39
Answer:
y = 3
Step-by-step explanation:
39 = 13y
Divide each side by 13
39/13 = 13y/13
3 = y
Check
39 = 13*3
39 = 39
Our solution checks
Find the slope and the coordinates of the points of intersections of the following lines with coordinate axes y= -1/4x+2
Answers
Step-by-step explanation:
y = -0.25x + 2
The slope is the coefficient of x, which is -0.25.
y-intercept is the constant term, which is 2.
When y = 0, -0.25x + 2 = 0, -0.25x = -2, x = 8.
=> x-intercept = 8.
pweese help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
What is most reasonably measured in miles?
Answers
Answer:
Length of a Road
Step-by-step explanation: No man that has ever lived (Well unless they're a nephilim or smth) is over a mile tall. Swimming pools and buildings aren't usually big enough to be measured in miles unless they're either a skyscraper or a Wisconsin water park attraction.
ASAP ASAP 30 POINTS
A ratio table shows ratios that are....
A)equivalent
B)subtracted
C)unequal
Answers
Answer:
A ) equivalent
Step-by-step explanation:
<333 .! :)
Answer:
I agree with the answer equivalent because I am also doing the assignment
Have a great day!
A bicyclist is in the exact middle of a straight trail that has endpoints at coordinates (11, 2) and (13, 5)on a map. Each unit of the grid is equal to 1 mile. What are the coordinates of the bicyclist on the map? *
6.5, 9)
(12, 3.5)
(13, 18)
(24, 7)
Answers
We have to find the midpoint. So we do,
11+13=24 /2 = 12
2+5=7 /2 = 3.5
So the bicyclist is at (12, 3.5) on the map.
I’ve attached a picture of another example and the formula we use. Hope this helps!
help please!!!!!!!!!!
Answers
Answer:
x=3
y=5
Step-by-step explanation:
5x+3(0) The y is zero because in the x-intercept the y is zero (same for x)
5/5x=15/5
x=3
5(0)+3y=15
3/3y=15/3
y=5
write an expression to represent the sum of 10 and 5 times a number x
Answers
Answer:
10 + 5x
Explanation:
5 times a number x is going to be 5x.
The sum of 10 and 5x will be them added together which is 10 + 5x
Which graph can be used to solve the equation 2^x-1=x+2?
Answers
Answer:
Bottom Left
Step-by-step explanation:
I found the graph. All you needed to do was switch the red and blue line. I put a screenshot of the correct answer on I-Ready as well as the graph I had found.
The system of equations needed to solve the given equations is . Thus, the correct graph is the top-right graph. Its plotted below.
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be [tex]A = B[/tex]. If we take them to be equal to third variable, then:
[tex]A = B = C[/tex] type of equation is obtained.
We can then take it as system of two equations as:
[tex]A = C\\B = C[/tex]
Solution to this system will give us the solution to the considered equation
What is a solution to a system of equations?
For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs.
For the given case, we are given that:
[tex]2^x-1=x+2[/tex]
Taking these two mathematical expression equal to 'y', we get:
[tex]2^x-1=x+2 = y[/tex]
or
[tex]y = 2^x - 1\\and\\y= x+2[/tex]
Plotting these two functions on the X-Y plane, the common point of these curves is the common value which can satisfy both the equations simultaneously, and thus, being the solution to the considered system of equations.
Thus, the solutions are those two points that are intersections of those two curves.
Learn more about solution of a system of an equation here:
https://brainly.com/question/13722693
The area of rectangle is 35 square feet.the length of rectangle is 5feet what is the width of the rectangle
Answers
Answer:
the answer should be 7
Step-by-step explanation:
Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D
Answers
Solution: C represents a function