Which describes how to graph g) XH +7 by transforming the parent function? Translate the parent function 5 units to the left and 7 units up OTranslate the parent function 5 units to the right and 7 units up. OTranslate the parent function 5 units down and 7 units to the right. OTranslate the parent function 5 units up and 7units
Answers
Answer:
Step-by-step explanation:
The translation rule:
The parent function is translated 5 units to the right and 7 units up.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
To graph the function g(x) = ∛(x - 5) + 7, we need to transform the parent function f(x) = ∛x.
We can achieve this transformation by first translating the function 5 units to the right and then 7 units up.
This is because the "x - 5" inside the cube root shifts the function horizontally to the right by 5 units, and the "+7" outside the cube root shifts the function vertically up by 7 units.
Therefore, the correct answer is to translate the parent function 5 units to the right and 7 units up.
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Related Questions
What is a uniform circular motion?
a. Uniform circular motion is when an obiect accelerates on a
circular path at a constantly increasing velocity
b. Uniform circular motion is when an object travels on a
circular path at a variable acceleration
c. Uniform circular motion is when an object travels on a
circular path at a constant speed
d. Uniform circular motion is when an object travels on a
circular path at a variable speed (answer this quickly pls)
Answers
Answer:
C. Uniform circular motion is when a object travels on a circular path at a constant speed.
Rewrite in simplest terms: -4(-2x-7)+6x-7
Answers
6x+28+6x-7
12x+21
Given m||n, find the value of x.
(8x-27) (7x-4)
Answers
Answer:
56ײ-221x+108
Step-by-step explanation:
7. Identify the appropriate mixed number for the picture shown.
O A. 1²
O B. 3
C. 244
O D. 2 ½
Answers
The fastest recorded lava flow moved at an average speed of 7 miles per hour. The function y = 7x
describes the distance y the lava moved on average in x hours. Graph the function. Use the graph to
estimate how many miles the lava moved after 6.5 hours.
50
y
45
40
35
30
25
20
15
10
5
.
0
0
1
2
3
4
5
6
7
8
9
10
?
y = 7x
Answers
Put this on a graph (I recommend putting the coordinates into desmos for easy graphing)
0 hours: (0, 0)
1 hours: (1, 7)
2 hours: (2, 14)
3 hours: (3, 21)
4 hours: (4, 28)
5 hours: (5, 35)
6 hours: (6, 42)
6.5 hours: (6.5, 45.5)
After 6.5 hours the lava would have travelled approximately 45.5 miles
I hope this helps you!
a rectangle has a width of 2x + 1 and a length of 6X which expression describes this area
Answers
Given parameters:
Width = 2x + 1
Length = 6x
Unknown:
Expression for the area = ?
Solution:
The area of a rectangle is the space it occupies,
Area of rectangle = length x width
Input the parameter and solve;
Area of rectangle = 6x(2x + 1)
= 12x² + 6x
The area of the rectangle is 12x² + 6x
1. -9n + 1 = -80
2. 144 = 144 = -12(m + 5)
3. -243 = -9(10 + r)
4. -10 = -10 + 7x
5. 4 - 7m = - 66
6. 2(y – 3) = −12
7. 16 = 2(1 + 7a)
8. 3 + 5r = −47
9. −10x + 6 = −74
With work please :) Please and ty
Answers
Answer:
1. n = 9
2. m = - 17
3. r = 17
4. x = 0
5. m = 10
6. y = -3
7. a = 1
8. r = -10
9. x = 8
Step-by-step explanation:
Doughnuts are sold in bags and cartons.
A bag hold 4 doughnuts and a carton holds 10 doughnuts
Tom buys B bags and C cartons of doughnuts.
He buys a total of T doughnuts.
Write down a formula for T in terms of B and C
Answers
Answer:
t = b4+c10
Step-by-step explanation
4 times however how many bags
10 times however how many cartons
16 + 7h = 2 what does that equal too?
Answers
7h = 2-16
7h = -14
h = -2
Answer:
h = -2
Step-by-step explanation:
16+7h = 2
subtract 16 from BOTH sides
7h = 2-16
simplify
7h = -14
divide BOTH sides by 7
h = -2
Eric is swimming along the surface of the sea. He uses positive numbers to represent elevations above the surface of the sea and negative numbers to represent depths under the surface of the sea. Mark is sitting on the deck of a ship above Eric , and Ariel is diving beneath Eric. Who could be at an elevation of -3 m?
Answers
Answer:
Ariel will be at an elevation of -3 m.
Step-by-step explanation:
There are three persons Eric, Mark and Ariel.
Location of these persons are,
Mark - Sitting at deck (Above the sea level)
Eric - swimming along the surface (At the sea level)
Ariel - diving beneath Eric (Below the sea level)
Since, all the distances above the sea level are measured with positive notation and below the sea level with negative.
Ariel will be at an elevation of -3 m.
Answer:
Ariel
Step-by-step explanation:
khan says so
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C?
A.
(7, -1)
B.
(2, -3)
C.
(2, -1)
D.
(5, -3)
Rese
Answers
Answer:
a
Step-by-step explanation:
Answer:
The correct answer for plato is option C
Step-by-step explanation:
C. (2, -1)
Dave is making lemonade. For each 8 cups of water, he uses 3 cups of lemon juice and 2 cups of sugar. If w the number of cups of water, l is the number of cups of lemon juice, and s is the number of cups of sugar, which equations are correct?
A. l = 3/8 (w)
B. l = 3s
C. w= 4s
D. l = 2/3 (s)
Answers
Answer: A and C are correct.
Step-by-step explanation:
Look at the proportions. For 8 cups of water there are 3 cups of lemon juice. So L 3/8(w)
For 8 cups of water there are 2 cups of sugar. 8 is 4 times 2. So the amount of water is 4 times the amount of sugar. W= 4s
What is the Slop?????Please give an actual answer. WILL ADD BRAINLIEST FOR BEST ANSWER!!!!!
Answers
Answer:
The Slope Is 2/3
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Answer:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
Here's my question. Thanks! :)
Answers
It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of calcium, and one ounce of cheddar cheese contains 200 mg of calcium. If a person meets the recommendation by consuming x ounces of whole milk and y ounces of cheddar cheese, then 25x + 200y ≥ 1,000.Give three different amounts of milk and cheese that a person could consume to meet the recommendation.
Answers
Answer:
20 ounces of milk and 3 ounces of cheddar cheese
30 ounces of milk and 4 ounces of cheddar cheese
40 ounces of milk and 5 ounces of cheddar cheese
Step-by-step explanation:
Consider the inequality [tex]25x+200y\geq 1000[/tex]
Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.
To write: three different amounts of milk and cheese that a person could consume to meet the recommendation
Solution:
Take [tex]x=20,y=3[/tex]
[tex]25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000[/tex]
So, [tex]x=20,y=3[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]
Take [tex]x=30,y=4[/tex]
[tex]25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000[/tex]
So, [tex]x=30,y=4[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]
Take [tex]x=40,y=5[/tex]
[tex]25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000[/tex]
So, [tex]x=40,y=5[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]
Therefore,
three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:
20 ounces of milk and 3 ounces of cheddar cheese
30 ounces of milk and 4 ounces of cheddar cheese
40 ounces of milk and 5 ounces of cheddar cheese
. Line A is represented by the equation y=1/4x+5
(a) Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8, 2) − . Show your work.
(b) Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, (4, 1) . Show your work.
Answers
Answer:
(a) y = 1/4x - 4
(b) y = -4x + 17
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
(a)
Parallel lines have the same slope but different y-intercepts.
m = 1/4x
y = 1/4x + b
-2 = 1/4(8) + b
-2 = 2 + b
b = -4
y = 1/4x - 4
(b)
Perpendicular lines have the negative reciprocal slope.
m = -4
y = -4x + b
1 = -4(4) + b
1 = -16 + b
b = 17
y = -4x + 17
Haley can read 5/8 pages in 2/3 minutes how many pages can she read in one minute
Answers
Given parameters:
Number of pages Haley can read = [tex]\frac{5}{8}[/tex] pages
Time to read the pages = [tex]\frac{2}{3}[/tex] min
Unknown:
Number of pages that can be read in 1 min = ?
Solution:
To solve this problem let us find Haley's rate;
Rate = [tex]\frac{Number of pages Haley can read}{Time }[/tex]
Input the parameters and find the rate;
Rate = [tex]\frac{5}{8} / \frac{2}{3}[/tex]
Rate = [tex]\frac{5}{8} x \frac{3}{2}[/tex]
Rate = [tex]\frac{15}{16}[/tex] pages/min
Now that we know the rate;
In 1 min; number of pages Haley can read;
Number of pages = Rate x time
Number of pages = [tex]\frac{15}{16}[/tex] x 1 = [tex]\frac{15}{16}[/tex][tex]\frac{15}{16}[/tex] pages
Haley can read pages [tex]\frac{15}{16}[/tex] in 1 minute.
A rectangle has a length that is 3 more than twice the width. Its perimeter is 96 inches.
Which equation models this?
Answers
Answer:
8x=96 inch
Step-by-step explanation:
How its in the draw you have this situation then the equation that model is the next one:
2*(3X) + 2*X = 96 inch
6X + 2X = 96 inch
8X=96 inch
We must multiply due that there is two sides that measure the same.
The equation which models this situation is,
⇒ 96 = 2 ((3 + 2x) + x)
or ⇒ 96 = 2 (3 + 3x)
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
A rectangle has a length that is 3 more than twice the width.
And, Its perimeter is 96 inches.
Let the width of rectangle = x
So, The length of rectangle = 3 + 2x
Now, We know that;
⇒ Perimeter of rectangle = 2 (Length + Width)
Substitute all the values, we get;
⇒ Perimeter of rectangle = 2 (Length + Width)
⇒ 96 = 2 ((3 + 2x) + x)
⇒ 96 = 2 (3 + 3x)
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Select the equation that is the inverse of the given function.
f (x) =( x minus 3 Over 5)
Answers
Answer:
x+3/5
Step-by-step explanation:
f(x)=x-3/5
y=f(x) let
y=x-3/5
put x at y and y at x
then,
x=y-3/5
y=x+3/5
f(x) inverse is x+3/5
state whether the linear equation has one (unique),infinely many,or no solutions
12(x+8)=11x-5
PLZ HELP! DO NOT PUT A SILLY AWSER I WILL REPORT U!
Answers
Answer:
One solution
Step-by-step explanation:
12x+96=11x-5
12x-11x= -5-96
x= -101
x only equals one solution, which is -101.
Which algebraic expression is equivalent to this expression?
3(2x − 8) – 11x
A.
-5x – 8
B.
-17x – 24
C.
-17x – 24
D.
-5x – 24
Answers
Answer:
the answer is d
Step-by-step explanation:
Answer:
[tex]\huge\boxed{D.\ -5x-24}[/tex]
Step-by-step explanation:
[tex]3(2x-8)-11x\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3)(2x)+(3)(-8)-11x=6x-24-11x\qquad|\text{combine like terms}\\\\=(6x-11x)-24=-5x-24[/tex]
Factor 2x^2-x-10. Rewrite the trinomial with the x term expanded using 2 factors.Then group the first 2 and last 2 terms together and find the Gcf of each
Trinomial (2x- ___) + (4x-10)
Gcf __ (2x-5) + __ (2x-5)
Answers
Answer:
Trinomial: (2x² – 5x) + (4x – 10)
GCF: x (2x – 5) + 2 (2x – 5)
Step-by-step explanation:
2x² – x – 10
The equation above can be factorised as follow:
2x² – x – 10
Multiply the first term (i.e 2x²) and the last term (i.e –10) together.
2x² × (–10) = –20x²
Find two factors of –20x² such that when we add them together, it will result to the 2nd term in the equation (i.e –x).
The factors are 4x and –5x.
Next, replace –x in the equation above with 4x and –5x. This is illustrated below:
2x² – x – 10
2x² – 5x + 4x – 10
Next, factorise
2x² – 5x + 4x – 10
Trinomial: (2x² – 5x) + (4x – 10)
GCF: x (2x – 5) + 2 (2x – 5)
HELP ME IM LOST :/
In the diagram, QRSTU is a regular pentagon and STVW is
a straight line. PQVW is a part of a regular polygon. Find
the number of sides of the regular polygon.
Answers
Answer:
15 sides
Step-by-step explanation:
Recall the following about interior and exterior angles of polygons.
Interior angles of polygons:
The formula (n - 2)180 gives the sum of the measures of the interior angles of a polygon of n sides.
If we know the number of sides, we can find the sum of the measures of the angles.
Exterior angles of polygons:
The sum of the measures of the exterior angles of a polygon is 360. If the polygon is a regular polygon of n sides, then the measure of each exterior angle is 360/n.
This problem:
QRSTU is a regular pentagon.
The sum of the measures of the sides of a polygon of n sides is
(n - 2)180
For a pentagon, n = 5, so
(n - 2)180 = (5 - 2)180 = (3)180 = 540
The sum of the measures of the angles of pentagon QRSTU is 540.
Since it's a regular polygon, each angle measures 540/5 = 108.
Angles UQR, R, and S are interior angles of the pentagon, so each one measures 108 degrees.
Now look at polygon VQRS. It is a quadrilateral with sides VQ, QR, RS, and SV. The sum of the measures of the angles of a quadrilateral (4 sides; n = 4) is
(n - 2)180 = (4 - 2)180 = 2(180) = 360
m<VQU = 12 (given)
m<UQR = 108
m<VQR = m<VQU + m<UQR = 108 + 12 = 120
The angles of quadrilateral VQRS are <VQR, <R, <S ,and <TVQ. Their sum is 360.
<VQR + m<R + m<S + m<TVQ = 360
We now substitute the angle values we know and solve for m<TVQ.
120 + 108 + 108 + m<TVQ = 360
m<TVQ = 24
<TVQ is an exterior angle of the large polygon of which PQ, QV and VW are sides.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360. For a regular polygon, all exterior angles are congruent, and the measure of each exterior angle is the sum of the the measures of the exterior angles divided by the number of sides.
[tex] measure~of~an~exterior~angle = \dfrac{sum~of~the~measures~of~the~exterior~angles}{number~of~sides} [/tex]
[tex] a = \dfrac{360}{n} [/tex]
We know that the measure of an exterior angle is 24 deg.
[tex] 24 = \dfrac{360}{n} [/tex]
[tex] n = \dfrac{360}{24} [/tex]
[tex] n = 15 [/tex]
Answer: 15 sides
Answer:
15 sides
This was tough.
Peter drives at a speed of 70 miles per hour.
How long will it take to drive 455 miles?
hours
Answers
Answer: 6.5 hours
Step-by-step explanation:
You have to find out how long it’ll take, so you divide the total amount by the speed, so 455/70=6.5
Answer:6
Step-by-step explanation:
7 is a solution to the equation 3n + 9 = 33.
true or false
Answers
Answer:
false
Step-by-step explanation:
3(7) = 21+9 = 30
Answer:
False
Step-by-step explanation:
Hope This Helps!!!
Which measure of center is shown in a box plot? mean, median, mode, range
Answers
Answer:
B: Median
Step-by-step explanation:
edg2020
Answer:
B
Step-by-step explanation:
The expression xy3 has a positive value.
What must be true of the value of x if y is negative?
Answers
Answer:
x should be positive
Step-by-step explanation:
i need help me please :(
Answers
(1.33)(3.14)
4.188
=4.2
Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 commercials and movies. How many commercials and movies did Adrian's songs play on?
Answers
Answer:
Adrian's songs played on 9 commercials and 5 movies.
Step-by-step explanation:
Let x denotes number of commercials and y denotes number of movies.
Total number of commercials and movies = 14
So,
[tex]x+y=14\\x=14-y\,\,\,\,...(i)[/tex]
Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie
Total amount earned = $1010
[tex]40x+130y=1010\,\,\,...(ii)[/tex]
Put [tex]x=14-y[/tex] in (ii)
[tex]40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5[/tex]
Put [tex]y=5[/tex] in [tex]x=14-y[/tex]
[tex]x=14-5=9[/tex]
Therefore, Adrian's songs played on 9 commercials and 5 movies.
How much is the interest on my loan?
I borrowed $400 to buy an MP3 player. I got a two-year loan,
and the lender is charging 8% Simple annual interest. How
much money will I have to pay back?
Time
Interest Principal
$ ?
$400
Rate
0.08
2
/= Prt
1 = 400 x 0.08 x 2
Interest
I
1.00
Answers
You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.
What is Simple Interest ?
Simple interest can be defined as the ratio of product of principal amount , rate , time and hundred.
The interest on your loan can be calculated using the formula:
Interest = Principal x Rate x Time
In this case, the principal is $400, the rate is 8% (or 0.08 as a decimal), and the time is 2 years.
So, plugging in the numbers:
Interest = $400 x 0.08 x 2 = $64
Therefore, the total amount you will have to pay back is the sum of the principal and the interest, which is:
Total = Principal + Interest
= $400 + $64 = $464
Hence, You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.
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