Answer:
420.72
Step-by-step explanation:
Given that f(x) = | x | is the parent function and that g(x) is the parent function reflected over the y-axis and contains a horizontal shrink by a factor of 1/3. Which of the following functions represents g(x)?
In geometry, several transformations (such as dilation, rotation, reflection, etc.) can be applied to move a parent function to a new function. The function that represents g(x) is [tex]g(x) = 3|x|[/tex]
Given that:
[tex]f(x) = |x|[/tex]
First, we reflect over the y-axis.
The rule of this transformation is: [tex](x,y) \to (-x,y)[/tex]
So, the function becomes
[tex]f'(x) = |-x|[/tex]
[tex]f'(x) = |x|[/tex]
Next, shrink horizontally by 1/3
The rule of this transformation is: [tex](x,y) \to (\frac{x}{a},y)[/tex]
Where:
[tex]a = \frac{1}{3}[/tex]
So, we have:
[tex]g(x) = |\frac{x}{1/3}|[/tex]
[tex]g(x) = |3x|[/tex]
[tex]g(x) = 3|x|[/tex]
Hence, the function that represents g(x) is [tex]g(x) = 3|x|[/tex]
Read more about function transformations at:
https://brainly.com/question/12865301
The weight of an object on the moon is
1/6 of its weight on Earth. If a moon rock
weighs 20.5 lb on Earth, how much did
the moon rock weigh on the moon?
Answer:
1/6 = 0.16 = 16%
restate the question: 16% of 20.5 is what? multiply: 20.5*.16 = 3.28 now, to find the weight of the object on the moon, subtract 16% from 20.5. 16% of 20.5 is 3.28 20.5-3.28 = 17.22 = 17 22/100 = 17 11/50
the weight of the object is 17 11/50 pounds on the moon.
Comparing Distance
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference?
A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units.
Which describes the relationship between the distance and the difference?
The distance is always the opposite of the difference.
The distance is exactly the difference.
The distance is the absolute value of the difference.
The distance is not related to difference.
NEED HELP FOR EDGUNITY
Answer:
C. The distance is the absolute value of the difference.Step-by-step explanation:
See the table made based on the given values.
It is easy to note that the numbers in the distance column are same as numbers in the a - b column but all numbers being positive.
So we can say that:
distance = |a - b|Correct choice is C
Please help me solve this short problem today is my last day to complete these
Answer:
shift of 1 unit to the right
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Given the parent function is y = x² , then
y = (x - 1)² is a shift to the left of 1 unit of the parent function
A water bottling company has purchased the rights to bottle 960 liters of spring water a month from the local spring.
How many 4-liter bottles can they produce a month?
Answer:
becouse 4×960 will give you
3840
Find the pressure exerted by a force of 240 N on an area of 30 cm2. Find the answer in SI unit
Answer:
Pressure is 80,000 pascals.
Step-by-step explanation:
Area:
[tex] = { \bf{ 30 \times {10}^{ - 4} \: {m}^{2} }}[/tex]
Pressure:
[tex]{ \bf{pressure = \frac{force}{area} }} \\ \\ { \tt{ = \frac{240}{30 \times {10}^{ - 4} } }} \\ = { \tt{80000 \: pascals}}[/tex]
18. PLEASE HELP ME
Solve the equation using square roots.
x2 – 14 = –10
A. ±2
B. 2
C. no real number solutions
D. ±4
9514 1404 393
Answer:
A. x = ±2
Step-by-step explanation:
Add 14, then take the square root.
x^2 -14 +14 = -10 +14
x^2 = 4
x = ±√4
x = ±2
Answer:
A
Step-by-step explanation:
X^2-14=-10
X^2=14-10
X^2=4
√X2=√4
X=±2
If f(x)=x^2-11, for what values of z is f(x) < 25?
a) -6 < x
b) x < 6
c) x ≤ -6 or x ≥ 6
d) -6 < x < 6
Answer:
D
Step-by-step explanation:
f(x) < 25
x² - 11 < 25
x² < 36
-6 < x < 6
Guys please help me solve this I’m struggling
Answer:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
Step-by-step explanation:
Given
[tex]z = 4x + 5y[/tex]
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
Required
The maximum and minimum of z
To do this, we make use of the graphical method
See attachment for graphs of
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
The corner points of the function are:
[tex](x,y) = (-1,1)[/tex]
[tex](x,y) = (-1,0)[/tex]
[tex](x,y) = (-1,-1)[/tex]
We have:
[tex]z = 4x + 5y[/tex]
Calculate z with the above values
[tex]z = 4(-1) + 5(1) = 1[/tex]
[tex]z = 4(-1) + 5(0) = -4[/tex]
[tex]z = 4(-1) + 5(-1) = -9[/tex]
So, we have:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
What is the area of the shaded region on the graph shown?
Answer:
As Doris Day said: Good morning to you
Answer 27/2
Step-by-step explanation:
[tex]f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}[/tex]
Find the value of x to the nearest tenth.
Answer:
Step-by-step explanation:
Using Pythagoreus Theorem
In the smaller rectangle
2²+4² = h²
20 = h²
h = √20
h = 2√5
Therefore two sides of the rectangle will 2√5
No using pythagoreus theorem in the bigger triangle
x² + (2√5)² = 9²
x² = 9² - (2√5)²
x² = 81 - 20
x = √61
x = 7.8102496759
When rounded off to nearest tenth the hundreth digit is in 0-5 range
x = 7.81
Please click thanks and mark brainliest if you like
Find the missing length.
Answer:
[tex]\frac{12}{16} =\frac{16-x}{12}[/tex] → [tex]144=256-16x[/tex]
[tex]16x=256-144[/tex]
[tex]16x=112[/tex] → [tex]x=7[/tex]
OAmalOHopeO
Please rewrite in simplest radical form (the problem in the photo below). Show each step of the process and explain what you did. Thank you for your time.
Answer:
√x
Step-by-step explanation:
1/(x^(-3/6)
= x^(3/6)
= x^(1/2)
= √x
The slope of the line is-
A)m=-2
B)m=-(1/2)
C)m=1/2
D)=m=2
A point on the line is-
A)(-4,-1)
B)(4,1/2)
C)(1/2,-1)
D)(1,4)
Answer:
C
D
Step-by-step explanation:
Point slope form is written in
y - y1 = m(x - x1)
Where m is the slope and (x1, y1) is a point on the line.
Looking at the values we have m = 1/2 and x1 = 1, y1 = 4.
Therefore the slope is 1/2 and the point is (1,4)
Enter the repeating digit:
[tex] \frac{2 }{3} = 0. \frac{?}{?} [/tex]
Answer:0.6666...
Step-by-step explanation:
Dividing
translation geometry please help!! Acellus
Answer:
A' (-6,3)
B' (-3,0)
C' (-7,1)
Answered by GAUTHMATH
Answer:
A -6, 3
C -7 1
B -3,0
Step-by-step explanation:
Whats 782,835 divided by 5?
Answer:
156,567
Step-by-step explanation:
782,835 ÷ 5 = 156,567
Answer:
it is 165,567
Step-by-step explanation:
u divide
Pls help I am giving brainliest help me ASaP
Answer:
4
Step-by-step explanation:
4 because 4^2 = 16.
13. Classify the following number. (Select all that apply) *
-10
Natural
Whole
Integer
Rational
Irrational
Answer:
-natural
-whole
-integer
-rational
Brainliest is very much appreciated! :)
-2 (x+5):4
Pliss es para hoy
I don't know how you want it solved but, I am giving u -2 I hope this helps
There are 38 chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid chocolate in a row
Answer:
0.1294
Step-by-step explanation:
Number of chocolates in box = 38
Number of nuts = 8
Number of caramel = 16
Number of solid chocolate = 14
Since 2 are selected in a row and not replaced, then;
Probability of first being solid chocolate = 14/38
Probability of second being solid chocolate after first one = 13/37
Thus;
P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294
A number line is divided into fifths. How many equal segments are there between the point at zero and the point 4/5?
Answer:
3?
Step-by-step explanation:
A little confused by the question but is it just
1/5 2/5 3/5 4/5
1 2 3 4
so theres 3 in between
Good Afternoon I am really stuck on this question whoever solves it I will give them brainliest with no unacceptable question thank you so much!
Answer:
Card picked=2
P(factors of 28)={1,2,4,7,14,28}
total cards=4
in percentage=4 x 20 + 20
80+20=100
Therefore 2 in percentage will be
2 x 20 + 20
=40+20=60%
Please help me ASAP I need help
Answer:
(-9,1.5)
Step-by-step explanation:
(-6*1.5, 1*1.5)
1)2x(3x^2-2x+1)
2)4x(1-x-3x)
Answer:
1. 3x^3 - 2x^2 - x
2. -4x^2 + x
Step-by-step explanation:
A television was sold at a gain of 20% after allowing a discount of 20% on its marked price . Had it been sold after allowing 25% discount there would have been a gain of Rs.1450. Find the marked price of the television.
Answer: The marked price is 40% more than the original price
40% - 25% = 15% or 1450
Marked price = 140%
140 × 1450 ÷ 15 = 13533. 33
Step-by-step explanation:
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games? Two samples were randomly
Complete question is;
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games?
Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected.
If µ1 and µ2 represent the mean point spread for home games and away games, respectively, which of the following is the appropriate.
A) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 < 0
B) H0: μ1 - μ2 = 0
Ha: μ1 < μ2
C) H0: μ1 - μ2 > 0
Ha: μ1 - μ2 = 0
D) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 > 0
E) None of the above
Answer:
D) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 > 0
Step-by-step explanation:
We want to find out if oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games.
Now, since µ1 and µ2 represent the mean point spread for home games and away games, respectively;
It means we want to find out if µ1 > µ2 as the alternative hypothesis.
Thus, alternative hypothesis is;
Ha: µ1 - µ2 > 0
Meanwhile null hypothesis assumes that equal point spreads are given when the favored team plays home games as well as when the favored team plays away games.
Thus, null hypothesis is;
H0: μ1 - μ2 = 0
The only correct option is D.
What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, ...
Answer:
B. 4
Step-by-step explanation:
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer: D. -4
Step-by-step explanation: took the quiz and got it right.
Find the surface area of the cube shown below.
units?
2 1/2
Answer:
SA = 37.5 units^2
Step-by-step explanation:
2 1/2 = 2.5
the Surface Area of the cube
SA = 6a^2
SA = 6(2.5)^2
SA = 6(6.25)
SA = 37.5 units^2
Which expression(s) represent(s) the perimeter of the following figure? Select all that apply. (answers are in units)
Perimeter = the sum of the outer sides
#1. P = (2x + 3) + (2x + 3) + (5x - 1) + (5x - 1) + (x - 7)
#2. P = 2(2x + 3) + 2(5x - 1) + (x - 7)
#3. P = 4x + 6 + 10x - 2 + x - 7
#4. P = 15x - 3
A. Correct - equivalent to #2
B. Incorrect - does not include all of the sides
C. Correct - equivalent to #1
D. Incorrect
E. Incorrect
F. Correct - equivalent to #4
Hope this helps!
Answer:
A, C, F.
Step-by-step explanation:
Answers A, C, and F are all equal and represent the perimeter of the shape.
There are 2 sides that are (2x+3) and (5x-1) in size and 1 side that is (x-7) in size.
