I can’t download anything so if anyone can find a way to help with this I’d be grateful (^_^)
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
simplify 3.4n+9.6-2.1n
Answer:
1.3n + 9.6
Step-by-step explanation:
3.4n-2.1n is 1.3n and we have the left over +9.6 .
CAN SOMEONE PLEASE HELP ME
What is the number in What is 95% of 60
Answer:
57
Step-by-step explanation:
57 is 95% of 60
(See image below for more information)
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
help solve please!!!!
Answer:
60 squared cm
Step-by-step explanation:
If half of the top of the shape is 3, that means the whole top is 6.
6 x 10 = 60
Area = Length x Width
leaf plot.
Name
Stem & Leaf Plots DOL
1. The total number of cupcakes sold in a fund-raiser is shown in the stem and
STEM
LEAF
1| 2 3 5 5 5 5
2| 34 479
3| 0 2 5 6 77
Which statement is best supported by the data in the stem and leaf plot?
A. The range of the number of cupcakes sold is 27.
B. The range of the number of cupcakes sold is 19.
6 The most common number of cupcakes sold is 15.
D. The most common number of cupcakes sold is 30.
Answer:
C.
Step-by-step explanation:
there are 4 15's, which is the most thing repeated.
For what value of x is 2x + 3 = 6x - 17 true?
Answer:
x = 5
Step-by-step explanation:
10 + 3 = 30 - 17
If the lowest price in the past year occurred 48 days ago, find the approximate average change per day since then.
Answer:
0.72
Step-by-step explanation:
According to the stock listing mentioned in the listing for Enam Telecom is
52 wk high = 122.86
52 wk low = 64.77
Div. = 3.45
Close = 99.14
Net change = 4.74
Now it is mentioned that lesser price i.e. 64.77 arised 48 days ago.
As yesterday closing price was 99.14
So, the net change in value would be
= 99.14 - 64.77
= 34.37
For 48 days, the average change per day would be
= Total change ÷ number of days
= 34.37 ÷ 48
= 0.716
= 0.72
Answer:
is B. 0.72I
Step-by-step explanation:
Edge 2022
luis has a cooler full of soda. For every 5 cans of coke there are 3 cans of sprite. if there are 25 cans of coke, how many cans of sprite are there?
Answer: 15 cans of sprite
Step-by-step explanation:
5 cans of coke and 3 cans of sprite
then its
25 cans of coke and 15 cans of sprite
chose the correct equation type for each system WILL MARK BRAINLIEST!!!!!!!!!
look at this table
is this relation a function
Answer:
i believe function !
Step-by-step explanation:
cuz im smart
Answer:
No
Step-by-step explanation:
The tables shows two inputs that are the same value which is not possible in a function
HELPPPPPPP MEEEEEEEEEE
Answer:
A. (0,1) and (1,2)
Step-by-step explanation:
I graphed it
3-4/5X-2/3–3/15+3/5divided by -3/2
Answer:
-2(6x-13)/15
Step-by-step explanation:
This is done by simplifying the expression as well as combining like terms
Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide.
Answer:
The length of the fish tank is 17 inches.
Step-by-step explanation:
The volume of a rectangular prism is length × breadth × height.
You already know the volume, breadth, and height, so you can find the length.
Length = 2244 ÷ 12 ÷ 11
= 17 inches
The height of the tank is 17 inches.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given that,
The shape of the fish tank is rectangular prism.
The formula to calculate the volume of the rectangular prism is,
Volume = Length × Width × height
Given,
Volume of the tank = 2,244 cubic inches
Length = 12 inches
Width = 11 inches
Let x be the height.
Substituting the given values,
2,244 = 12 × 11 × x
x = 2244 / (12 × 11)
x = 2244 / 132
x = 17 inches
Hence the height of the tank is 17 inches.
Learn more about Volume here :
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Your question is incomplete. The complete question is given below.
Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide. What is the height of the tank?
You buy a car for $8,000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?
15 less than twice the sum of 61
Answer: 38
Explanation the answer is 38
A student has two part-time jobs. He earns $8.50 per hour for babysitting and $11.50 for each lawn he mows. If the student babysits for 512 hours and mows 7 lawns, how much money will he earn?
Answer:
$4,352 + $126.50= $4,478.50
Step-by-step explanation:
8.50 x 512 = 4,352
11.50 x 7 = 126.50
All together it equals
4,478.50
Hope this Helps! :)
Find the value of x in the image above
Answer:
Step-by-step explanation:
Find the sum.
5y+2/xy^2 + 2x-4/4xy
[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]
or just (xy+8y+4)/2xy^2 if u can't see the equation
The value of the expression using sum will be (8y + xy + 4) / (2xy²).
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]
Simplify the expression, then we have
⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]
⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]
⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]
⇒ (20y + 8 + 2xy - 4y) / (4xy²)
⇒ (16y + 2xy + 8) / (4xy²)
⇒ (8y + xy + 4) / (2xy²)
The value of the expression using sum will be (8y + xy + 4) / (2xy²).
More about the Algebra link is given below.
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Does anyone know it?!
Answer:
x = 136º
Step-by-step explanation:
Answer:
x = 136º
Step-by-step explanation:
It is congruent to the angle with the measure of 136 degrees, so it will be 136.
Hope that helps!
Work out the mean for the data set below: 58002, 58003, 58002, 58003, 58003, 58005, 58003
Step-by-step explanation:
Mean x¯¯¯ 58003
Median x˜ 58003
Mode 58003
Range 3
Minimum 58002
Maximum 58005
Count n 7
Sum 406021
Quartiles Quartiles:
Q1 --> 58002
Q2 --> 58003
Q3 --> 58003
Interquartile
Range IQR 1
Outliers 58005
copy machine goes brr
Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm
Answer:
area = 58.5 cm²
Step-by-step explanation:
area = 18 x 6.5 x 0.5 = 58.5 cm²
The marked price of a refrigerator is $1660. John has a coupon for 15% off. Find the selling price of the refrigerator with the coupon
Answer:
answer is selling price=$1411
Step-by-step explanation:
discount percentage=100%-15%=85%
i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported
Answer:
for volume you multiple l*w*h so 2)432 4)1,216
If the number of hours you hours you work is proportional to the amount of money you earn per hour, which og tye following statements is true?
Answer:
it should be a
Step-by-step explanation:
if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money
6a-4b when a=5 and b=3
Answer:
18
Step-by-step explanation:
Answer:
Use substitution to receive: 18
Step-by-step explanation:
6a - 4b when a = 5 and b = 3
6(5) - 4(3)
30 - 12 = 18
Find an equation for the line below
Somebody please help and explain it.
Explanation is in the file
tinyurl.com/wpazsebu
The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answer:
Step-by-step explanation:
Square is x meters on each side.
Area of square = x²
Width of rectangle = x+1
Length of rectangle = x+4
Area of rectangle = (x+1)(x+4) = x²+5x+4
Combined area = 2x²+5x+4 = 33
2x²+5x-29 = 0
x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4