Answer:
Option D.
Step-by-step explanation:
The given parent function is
[tex]f(x)=\dfrac{1}{x}[/tex]
The given function is
[tex]g(x)=\dfrac{1}{x+4}-6[/tex]
Using the parent function, the given function can be written as
[tex]g(x)=f(x+4)-6[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=4>0[/tex], it means the graph shifts 4 units left.
[tex]b=-6<0[/tex], it means the graph shifts 6 units down.
So, g(x) is shifted 4 units left and 6 units down from f(x).
Therefore, the correct option is D.
Transformation involves changing the form of a function.
The true option is (d) g(x) is shifted 4 units left and 6 units down from f(x).
The functions are given as:
[tex]g(x)= \frac{1}{x + 4} - 6[/tex]
[tex]f(x)= \frac{1}{x}[/tex]
Start by shifting the function to the left, by 4 units.
This is represented as:
[tex](x,y) \to (x + 4,y)[/tex]
So, we have:
[tex]f'(x)= \frac{1}{x + 4}[/tex]
Next, shift the function down, by 6 units.
This is represented as:
[tex](x,y) \to (x,y - 6)[/tex]
So, we have:
[tex]g(x)= \frac{1}{x + 4} - 6[/tex]
Hence, the true option is (d)
Read more about transformation at:
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The graph of Y = COS X+ż is the graph of the y = cos(x) shifted in which direction?
T
2 units to the left
2
units to the right
units up
2 units down
Answer:
2 units up
Step-by-step explanation:
You're just taking the entire graph of cos(x) and then adding 2 so it moves everything up. If you added 2 to x BEFORE taking the cosine
(like y = cos (x+2) ), then you would shift it left 2. Adding and subtracting from the x moves everything left or right. Adding or subtracting at the end just moves it up and down.
The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.
Here, The function is,
⇒ y = cos x
Now, After translate 2 units up, we get;
⇒ y = cos x + 2
Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''
Learn more about the transformation visit:
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Number 11-16 please help me I must make sure You choose a Method of choice so whichever is easiest .
Answer:
#11: 1180.428 571
#12: 80.166... repeating
#13: 237.5
#14: 686
#15: 2682.333 repeating
#16: 122
Step-by-step explanation:
Hopes this helps. Also #12 and #15 are repeating. Just FYI.
HELP WITH THIS QUESTION???
Answer:
The range is 9 i think I'm not sure.
step-by-step explanation:
Help Me! I'm not good at this! I will mark brainliest!
Answer:
1.61 * 10 ^8
3.3 * 10^-7
Step-by-step explanation:
Multiply the numbers and then add the exponents
2.3 * 10^1 * 7 * 10^6
2.3 *7 * 10^(1+6)
16.1 * 10^7
We need to make this scientific notation by moving the decimal one place to the left and adding 1 to the exponent
1.61 * 10 ^8
Multiply the numbers and then add the exponents
1.1* 10^-5 3*10^-2
1.1 *3 * 10^(-5+-2)
3.3 * 10^-7
Answer:
1. B
2. C
Step-by-step explanation:
1. 2.3 × 10¹ × 7 × 10⁶
2.3 × 7 × 10^(1+6)
16.1 × 10⁷
1.61 × 10⁸
2. 1.1 × 10^-5 × 3 × 10^-2
1.1 × 3 × 10^(-5-2)
3.3 × 10^-7
how to i find b in y=my+b if the slope is undefined?
Answer:
By finding the y- intercept in the graph.
Step-by-step explanation:
This is the only point in the graph that is on the y axis.
What is the sum of 1-2 and V-18?
Answer:
v-19
Step-by-step explanation:
Answer:
It depends on what you mean.
Step-by-step explanation:
If its to separate questions,
1-2= 1
V-18= -13
If its one whole question then
1-2 - V-18= 14
1-2 / V-18= -0.07692307692
1-2 * V-18= -13
1-2 + V-18= -12
Hope this helps! :D
Which expression can be used to find the surface area of the following triangular prism?
A. 6+6+33+44+55
B. 6+6+55+55+55
C. 12+12+33+44+55
D. 12+55
Answer:
C
Step-by-step explanation:
3×4=12
3×11=33
5×11=55
The volume of the giant beach ball is approximately 267.95 feet^3 . Find the diameter of the ball. Use 3.14 for pie.
Answer:
8 feet
Step-by-step explanation:
Hello, I can help you with this.
the volume of a sphere is given by.
[tex]Volume= \frac{4}{3} \ \pi\ radius^{3}\\\\[/tex]
Step one
isolate radius
[tex]\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}[/tex]
According to the question the volume is 267.95 cubic feet , and pi= 3.14
put this values into the equation
let
volume =267.95
pi=3.14
[tex]volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}\\radius=\sqrt[3]{\frac{3}{(4 *3.14) }*267.95}\\radius=\sqrt[3]{64}\\\\radius=4[/tex]
so the radius of the beach ball is 4 feet, but we need its diameter
Diameter=2* radius
radius=4 feet
Diameter= 4 feet*2
Diameter=8 feet
what a big ball¡¡
I hope it helps, have a great day.
Simplify x^2-4x+4/x^2-4
Answer:
x2 - 4x - 4
———————————
x - 2
Step-by-step explanation:
Select the correct answer from the drop-down menu.
Find the polynomial.
2(3y − 1)(y − 3) is the factored form of .
Answer:
6y² - 20y + 6
Step-by-step explanation:
Use FOIL method
(3y - 1)(y-3) = 3y*y + 3y*(-3) + (-1)*y + (-1)*(-3)
= 3y²- 9y - y + 3 {add the like terms}
= 3y² - 10y + 3
2(3y - 1)(y - 3) = 2 ( 3y² - 10y + 3)
= 2*3y² - 2*10y + 2*3
= 6y² - 20y + 6
Which of the following is a correct step for constructing a median of triangle LMN? Bisect side LN. Construct a line perpendicular to LN through vertex M. Bisect the angle at vertex M. Extend the angle bisector to intersect side LN. Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN. Bisect side LN and side MN. Construct a line segment connecting the two midpoints. plzzz help
Answer:
C: Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN.
Step-by-step explanation:
Just took assignment.
Answer:
C
Step-by-step explanation:
c
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
Find an explicit formula for the geometric sequence 3, 15, 75, 375...
Answer:
3 * 5 ^ (n-1)
Step-by-step explanation:
3 is the first term and it multiplies by 5
The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]
The standard explicit formula for a geometric sequence is expressed as:
[tex]T_n = ar^{n-1}\\[/tex]
a is the first term
r is the common ratio
n is the number of terms
Given the sequence of numbers 3, 15, 75, 375...
r = 15/3 = 75/15 = 5
a = 3
Substitute the given parameters into the formula to have:
[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]
Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]
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Maria bought an SUV for 21,000 dollars. Nancy bought a sedan for 2/3 as much. How much less did Nancy spend on her sedan?
Answer:
7000
Step-by-step explanation:
21,000*(2/3)=14000
21,000-14,000=7000
Answer:
7,000 dollars
Step-by-step explanation:
21,000 divided by 3 is 7,000 = 1/3
So 2/3 = 7,000 x 2 = 14,000
To find how much less Nancy spent on her sedan you do 21,000 - 14,000 = 7,000
Evaluate A^2 for A = -4. -16 -8 8 16
Answer:
The answer is 4^2 (-16)
Step-by-step explanation:
I need help finding the length of GH.
Answer:
length of arc=2r+teete ×2πr
360
2×13+155°×2×22×13
360. 7
26+155°×572
360. 7
26+88660
2520
88686
2520
35.404
The distance from home to school is 7/8 of a mile for Amy and 2/4 of a mile for Tom. How much farther does Amy walk than Tom?
The answer is 3/8
because 2/4 × 2 = 4/8
7/8 - 4/8 = 3/8
Answer:
3/8 of a mile more
Step-by-step explanation:
2/4=4/8
7/8-4/8=3/8
what is the gcf of 36 and 78
Answer:
6
Step-by-step explanation:
36: 2 2 3 3
78: 2 3 13
GCF: 2 3
2x3=6
hope this helps
HAVE noice DAY ^_^Question 15
2 pts
The daily caloric intake for a group of women follows a normal distribution with a mean of
1,750 calories and a standard deviation of 200 calories. What is the z-score for a woman
who had a daily intake of 2,100 calories?
2,091
-1.75
1.75
1.09
Question 16
2 pts
What is it called when you get a positive test result for a disease that you do not have?
False Negative
Margin of Error
Accuracy
True Positive
False Positive
Answer:
1. Z = 1.75
2. False Positive
Step-by-step explanation:
1. mean = 1750 calories
standard deviation, sd = 200 calories
value of interest, x = 2,100
z-score is computed as follows:
Z = (x - mean)/sd
Z = (2100 - 1750)/200
Z = 1.75
2. A false positive happens, when a negative case is detected as a positive case
A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
(x-7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
-6x + 3
ox2 - 21
ox2 - 4x - 21
ox² - 7x + 3
Answer:
x2 - 4x - 21
Step-by-step explanation:
Area = (x -7 )(x +3)
= x*x - 7*x + x*3 - 7*3
=x2 - 4x - 21
Math question down below
Answer:
314.961
Step-by-step explanation:
PLEASEEEEE ANSWERRRRRRR!!!!!!!!!!!!
What is the area of figure?
A trapezoid with short base eighteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
A. 320 square centimeters
B. 608 square centimeters
C. 448 square centimeters
D. 560 square centimeters
Answer:
C. 448 square centimeters
Step-by-step explanation:
38+18/2(16)
=448 square centimeters
:3
13. A circle with radius x is shown below. The diagram is not drawn to scale. (1 point)
What is the value of x? Round the answer to the nearest tenth.
Answer: 16.1
Step-by-step explanation:
x^2 = 8^2 + (28/2)^2
x^2=64 + 196
x^2= 260
Take the square root of 260 and get 16.1!
The value of x is x=16.1
Chord
The perpendicular from the center of a circle bisects the chord
RadiusA line from the center of the circle to the circumference of the circle is the radius of the circle
Lets connect the center of the circle to the other end of the chord that is at the circumference of circle
The diagram attached below
The line OA from the center bisects the chord
AB= half of 28 = 14
the triangle AOB forms a right angle triangle
apply Pythagorean theorem to find out the value of x
[tex]x^2=8^2+14^2\\x^2= 64+196\\x^2=260\\\sqrt{x^2}=\sqrt{260} \\ x=16.1[/tex]
The value of x is 16.1
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What is the true solution to 2 In x=2 in 8
Answer:
x=2 is the true solution.
Step-by-step explanation:
We have been given the expression:
2\ln 4x=2\ln 8
Using:
n\ln m=\ln m^n
Our given expression becomes:
\ln{4x}^2=\ln{8^2}
Cancel ln from both sides we get:
4x^2=8^2
On simplification we get:
16x^2=64
x^2=4
Final simplification gives the result:
x=2
Answer:
x = 8
Step-by-step explanation:
2 In x=2 ln 8
Divide by 2
ln x = ln 8
Raise to the e base
e^ ln x = e^ ln 8
x = 8
I need help nothing is working for the answer p÷3> 2
Answer:
p > 6
Step-by-step explanation:
Given
[tex]\frac{p}{3}[/tex] > 2 ( in fractional form )
Multiply both sides by 3 to clear the fraction
p > 6
Answer:
honestly idk
Step-by-step explanation:
it may be p (1/3)
hope this is right:000
PLEASE HELP ASAP worth alot
Answer:
I believe it is C
Step-by-step explanation:
Hope this helps
and if it at all possible and you mark me brainlyest please
Answer:
5 pts isnt a lot but ok.. and yes it is c
Step-by-step explanation:
A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9800 each week. Which inequality represents the number of backpacks ,x, that need to be sold each week for the factory to meet this goal?
Answer:
x (40-10) -12000≥980
The factory must sell 433 backpacks to meet its weekly goal.
Hi, to answer this question we have to write an inequality.
So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.
12,000 of operating expenses are also expenses.
So, for the profit:
Profit = revenue- cost
P = 40x-10x-12,000
P = x (40-10)-12000
The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.
x (40-10) -12000≥980
Solving for x
30x-12000≥980
30x≥980+12000
30x ≥12980
x≥12980/30
x≥432.6
x≥433 (rounded, because if the sell 432 they will not meet the goal)
The factory must sell 433 backpacks to meet its weekly goal.
Step-by-step explanation:
burritos are on the sale for 30% off. Your favorite burrito normally costs $8.50. how much does it cost now?
Answer:
5$
Step-by-step explanation:
70%x8.50 equalss 5$
$8.5− 30
/100 = 41
/5
(Decimal: 8.2)
Jimmy is in New York City to see a Drake concert. He needs to get
from his Airbnb to the concert venue, so he decides to take a cab.
The cab charges a $3 boarding fee in addition to charging $0.50
per mile traveled. Jimmy gave the driver a $2 tip and paid $10.
How far away was the concert venue?
Answer:
16
Step-by-step explanation:
y= .5x+3
10=.5x+2
What is the value of x?
B
80°
Enter your answer in the box.
x=
Х
А
55°
с
Answer:
x = 45
Step-by-step explanation:
The sum of the angles of a triangle is 180
80+55+x = 180
135 +x = 180
Subtract 135 from each side
x = 180-135
x =45
Answer:
45
Step-by-step explanation:
combining the a and b lengths gives you 135 then subtract by 180 and you get 45.
