Answers
Answer:
[tex]g(x) = 4-4\sqrt{x}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4\sqrt{x}+1[/tex]
1. 5 units down translation
2. Reflection in the x-axis
Required
Determine the resulting function g
1. 5 units down translation
This is defined by the rule:
A down translation is:
[tex]f'(x) = f(x) - b[/tex]
Where b is the number of units.
So, we have:
[tex]f'(x) = 4\sqrt{x} + 1 - 5[/tex]
[tex]f'(x) = 4\sqrt{x} -4[/tex]
2. Reflection in the x-axis
For a function f(x),
When reflected over the x-axis, it becomes -f(x)
So:
[tex]g(x) = -f(x)[/tex]
[tex]g(x) = -(4\sqrt{x} - 4)[/tex]
[tex]g(x) = -4\sqrt{x} +4[/tex]
[tex]g(x) = 4-4\sqrt{x}[/tex]
Related Questions
IF YOU ARE SMART DO THIS PROBLEM NOT PEOPLE WHO DONT WANN HELP
An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.
Answers
Answer:
3.28ft
Step-by-step explanation:
Rectangular Prism Formula:
l*w*d = v
(plug in values)
2.6*1.4*d=11.94
3.64*d=11.94
d = 3.28ft
Hi can someone help me with these 2.
Answers
Step-by-step explanation:
13. 43/5 = 8 3/5
(I) he can make 8 rows .
(ii)= 3 soldiers will be left in the last row .
14. 17/2 = 8 1/2
I) she can make 8 booklets
2) yes she will have any extra sheet
3 ) 1 sheet will be left extra .
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Lin runs 5 miles in 40 minutes.
A. How many minutes per mile that?
B. How many miles per minute is that?
C. If Lin runs 9 miles at the same rate, how long does it take her?
Answers
1 mile
1 hr and 12 mins
PLEASE HELPP!!
|y.
2
X X
-2 1
45
2
3
What is the slope of line b?
01
2
2.
-2
0 -1
2
Answers
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0-(-2)}{4-0}[/tex] = [tex]\frac{0+2}{4}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. (Round your answers to four decimal places.) (a) What is the (approximate) probability that X is at most 30
Answers
Answer:
0.9726 = 97.26% approximate probability that X is at most 30
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).
This means that [tex]p = 0.11[/tex]
Random sample of 200 shafts
This means that [tex]n = 200[/tex]
Mean and Standard deviation:
[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]
(a) What is the (approximate) probability that X is at most 30
Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 22}{4.42}[/tex]
[tex]Z = 1.92[/tex]
[tex]Z = 1.92[/tex] has a pvalue of 0.9726.
0.9726 = 97.26% approximate probability that X is at most 30
1. It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase
7.5 lbs of walnuts? Explain or show your reasoning.
Answers
Answer:
$34.50
Step-by-step explanation:
First, how many 3/4 lbs are in 7.5 lbs?
7.5 lbs = 15/2 lbs.
(15/2) / (3/4) = 10
There are 10 "3/4" lbs in 7.5 lbs.
So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.
Let me know if this helps!
A gallon of gas last summer was $2.28. This week, a gallon costs $3.48.
What is the percent change?
Answers
Answer:
52.63%
Step-by-step explanation:
The gasoline increased by $1.20. This means it grew by about 52.63% (Double-check to make sure I am correct)
A . it is increasing and linear
B. it is decreasing and linear
C. it is increasing and non linear
D. It is decreasing and non linear
Answers
Answer:
The answer is B.
Step-by-step explanation:
From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.
Of the 80 students in the student body, 60 voted for the winning candidate. What percent voted for the winning candidate
Answers
Answer:
20 studenti fac laba on a romania
Answer:75%
Step-by-step explanation:
Total no. of students= 80
No. of students who voted the winning candidate=60
% of students that voted for the winning team=60/80 x 100%
A class of 50 students is divided into two groups. One group has 8 more students than the
other. How many students are in each group?
$76 nor week plus S16 for each sale
Answers
Answer:
Step-by-step explanation:
Sam has 6 boxes of pencils. Each pack has x pencils in it. After Julie gives Sam 4 more pencils, he has a total of 40 pencils.
40 - (x + 4) = 6
6(x + 4 ) = 40
6x + 4 = 40
6 + 4x = 40
Answers
Answer:
6x + 4 = 40
Step-by-step explanation:
6 boxes
x = number of pencils per box
therefore Sam had 6x and received 4 more
Answer:
6x + 4 = 40
explanation
Step-by-step explanation:
6 boxes
x = number of pencils per box
therefore Sam had 6x and received 4 more
Find the volume of this cuboid 5cm
Answers
Answer:
125[tex]cm^{3}[/tex]
Step-by-step explanation:
5x5x5= 125
A trapezoid has 62 feet base and 36.4 feet base, as well as 70 feet height. What is the area?
Answers
The experimental probability and theoretical probability of an event are not
necessarily the same.
A) true B) false
Answers
Translate each of the following English statements into logical expressions. The domain is the set of all real numbers. (a) There are two numbers whose ratio is less than 1. (b) The reciprocal of every positive number is also positive. (c) There are two numbers whose sum is equal to their product. (d) The ratio of every two positive numbers is also positive.
Answers
Step-by-step explanations:
Since the domain is a set of all real numbers, all the expression are with respect to real numbers.
a. 3 x,y : x/y < 1 ∧ y/x < 1
b. ∀x > 0, 1/x > 0
c. 3 x,y : x + y = xy
d. ∀x > 0 ∧ y > 0, x/y > 0 ∧ y/x > 0.
3 means "there exists"
∀ means "for every value of"
∧ means "and"
Write 125 as a fraction
reduced to lowest terms.
Answers
Answer:
1/8
Step-by-step explanation:
—> 125/1000
Divide by 25:
5/40
Divide by 5:
1/8
In a class of 30 students, 13 of them are boys.
What percentage of the class are girls?
Give your answer to 1 decimal place.
Answers
Answer:
56.7%
Step-by-step explanation:
30-13=17
(on a scientific calculator) 17/30=
0.56666667 x 100= 56.7 (round it up)
you can use this method everytime when trying to find a percantge.
which shows the product of 23 and 39
Answers
Answer:
23 * 29
Step-by-step explanation:
pls give thanks, 5 star, brainliest
the total for a restaurant bill is $95.20 if the bill is split among 8 friends equally, how much will each person pay
Answers
Answer:
11.90
Step-by-step explanation:
What is the greatest common factor of 3 and 27?
Answers
Answer:
9
Step-by-step explanation:
3*9=27
The greatest common factor of 3 and 27 is 3.
Given numbers are 3 and 27.
To find the greatest common factor of 3 and 27, find the factor each number individually.
So, the factor of 3 are:
3 = 1, 3
and, the factor of 27 are:
27= 1, 3, 9, 27
Now, the greatest common factor will be 3.
Learn more about greatest common factor here:
https://brainly.com/question/29584814
#SPJ6
Bob can eat 24 pizzas in 1 1/3 hours. How many pizzas per hour?
Answers
Answer:
Step-by-step explanation:
Find the slope of the line through the given points.
(-7, 7), (-1, 10)
Answers
Answer:
slope={10-7)/(-1--7)=3/(-1+7)=3/6=1/2
Answer:
3/6 or 1/2 (simplified)
Step-by-step explanation:
Use the slope formula: (change in y)/(change in x)
what's the answer to this
Answers
Divide 4 1/2 by the following unit fractions. 1/8 b. 1/4 c. 1/6
Answers
Answer:
a. 36
b. 18
c. 27
Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)?
Answers
Answer:
7 5/6
Step-by-step explanation:
1 1/2= 1 3/6
6 1/3= 6 2/6
1 3/6
+6 2/6
————-
7 5/6
Graph the line with the equation y = 1/5 x - 5 , ILL MARK BRAINLIST
Answers
Answer:
The line will cross point (0,-5) and (25,0)
Step-by-step explanation:
Proved graph in the picture using desmos graphing software
Pls someone help the multi choice answers are
A:3:10
B:2/5
C:3:7
D:1/2
Answers
it will be A
Step-by-step explanation:
because it adds up to 3:10
Which expression does not equal to the others?
A
567 /1,000
-------------------
B
56.7 / 10,000
----------------------
C
5.67 /10
---------------------
D
56.7 /100
Answers
Answer:
B is not equal to the others
Step-by-step explanation:
g(x)=1/6(8)^x-5. x=9
Answers
Answer:
[tex]g(9) = \frac{2048}{3}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]x = 9[/tex]
Required
Solve
Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]
Remove bracket
[tex]g(9) = \frac{1}{6}* 8^4[/tex]
[tex]g(9) = \frac{1}{6}* 4096[/tex]
[tex]g(9) = \frac{1* 4096}{6}[/tex]
[tex]g(9) = \frac{4096}{6}[/tex]
Simplify fraction
[tex]g(9) = \frac{2048}{3}[/tex]
John owns a hot dog stand. His profit, in dollars, is given by the equation P(x) = -x + 10x + 34, where x is the number of hot dogs sold. What is the most he can earn?
O A. $39
OB. $59
O C. $99
O D. $25
Answers
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