Answers
3+(5+4)(8-6)
3+(9)(2)
3+18
21
Related Questions
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)
Answers
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))
Solve for x'if3 - 2x 35-*.
Answers
Answer:
-16..
Step-by-step explanation:
the question is not clear
which pic you choose
Answers
.............that apple do be looking good doe........ : /
Drag the vertices of the triangle below to draw a right triangle with side lengths 10, 24, and 26.
16
15
Answers
Answer:
15 ? :)
Step-by-step explanation:
Mr. Jamison wants to borrow $375,000 to
open a Pizza Shack franchise. If he can
pay $28,125 a year in interest, what
interest rate can he afford to pay on his
| loan? (Write your answer as a percent.)
Answers
Answer: The interest rate can he afford to pay on his | loan =7.5%
Step-by-step explanation:
Given: Principal amount = 375,000
Interest amount per year = $28,125
Interest percentage = [tex]\dfrac{\text{Interest}}{\text{Principal}}\times100\%[/tex]
[tex]=\dfrac{28125}{375000}\times100\%\\\\=7.5\%[/tex]
Hence, The interest rate can he afford to pay on his | loan =7.5%
I can’t download anything so if anyone can find a way to help with this I’d be grateful (^_^)
Answers
The answer of a second question is {x|x is greater or equal to -3.
if someone was on a diet from march to july. his mass in march was 95.2kg and in july 88.7kg. what is the percentage change in mass?
Answers
Answer:
6.82%(or -6.82%, it depends)
Step-by-step explanation:
95.2-88.7=6.5
6.5/95.2=6.82%
) 0 Solve the following equation for x. - 4 (1 – 3x) + 4x = -100 what is x?
Answers
Step-by-step explanation:
4 (1 – 3x) + 4x = -100
4-12x+4x=-100
-12x+4x=-100-4
-8x=-104
x=-104/-8
x=13
Answer:
x = − 12
Step-by-step explanation:
Does anyone know it?!
Answers
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!
What is the data range of the data below 625, 638, 619, 677, 638, 659
Answers
Answer:
58
Step-by-step explanation:
The range is the difference between the highest and the lowest numbers in the number set.
The highest number in this set is 677 and the lowest number is 619.
677 - 619 = 58
help me please help me please
Answers
3 =15
7=35
1=5
Constant of 1 is 5
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.
Answers
Answer:
C.
Step-by-step explanation:
there are 4 15's, which is the most thing repeated.
Work out the mean for the data set below: 58002, 58003, 58002, 58003, 58003, 58005, 58003
Answers
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
look at this table
is this relation a function
Answers
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
Let’s say we are using 12 inch diameter balloons filled with helium to lift objects off of the surface.
*Let’s say that 5 balloons can lift 60 grams of weight.
What is the unit rate for weight/balloon? ________
Answers
Answer:
its 12
Step-by-step explanation:
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?
Answers
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
Find the value of X......
Answers
Answer:
720 = x +133+138+148+95+105
x = 101
Please help and right the real answer
Answers
Answer:
(-6,-3) would be the answer
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?
Answers
If it’s not correct, I’m sorry, but if it is, please mark the brainliest!!
CAN SOMEONE PLEASE HELP ME
Answers
Sophie buys a wheelbarrow priced at $72. If the sales tax is 5%, what will be the total cost
including tax?
Answers
Answer:
$75.6
Step-by-step explanation:
5%of 72 = 3.6
72+3.6 = 75.6
DUE TODAY HELP
It is not possible to plagiarize in math when the questions are multiple choice since
you don't have to write out your work.
True
False
Answers
Please help me ASAP.
Answers
Answer:
I believe the answer is D
Step-by-step explanation:
help solve please!!!!
Answers
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
6th grade math easy helpp
Answers
Answer: 18 degrees
Step-by-step explanation:
If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is
10hours:12 degrees
to find hours divide both sides by 2 and multiply by 3 to get
15hours: 18 degrees
Simplify
(3x^2y^3/z^3)^3
Answers
Answer:
27x^6 y^9
z^9
Step-by-step explanation:
That should be the answer,if not...sorry!:)
Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm
Answers
Answer:
area = 58.5 cm²
Step-by-step explanation:
area = 18 x 6.5 x 0.5 = 58.5 cm²
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?
Answers
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
Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age is divided by three, the sum of those numbers is fourteen. How
old are Janine and Ingrid?
Answers
Answer:
Janine is 28. Ingrid is 30.
Step-by-step explanation:
Let the ages be x and x + 2 for Janine and her sister, respectively.
x/7 + (x + 2)/3 = 14
Multiply both sides by the LCD, 21, to get rid of denominators.
21 * x/7 + 21 * (x + 2)/2 = 21 * 14
3x + 7(x + 2) = 294
3x + 7x + 14 = 294
10x = 280
x = 28
x + 2 = 30
Answer: Janine is 28. Ingrid is 30.
Answer:
Janine is 28 and Ingrid is 30.
Step-by-step explanation:
Let Janine's age be x years , then Ingrid's age is x+2 years.
From the given information we have the equation:
x/7 + (x + 2)/3 = 14
Multiplying through by the LCM of 3 and 7 (21), we have:
3x + 7(x + 2) = 294
10x + 14 = 294
10x = 294-14 = 280
x = 28, so:
Janine is 28 and Ingrid is 30.
.necesito resolver estas operaciones con factorial ayuda por favor
- A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
2. (6ǃ-4ǃ)/2ǃ
2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
R = 10ǃx8ǃ/(6ǃ+5ǃ)
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Answers
Answer:
A. 4
B. 348
C. 2
D. 174182400
E. x = 2
Step-by-step explanation:
Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
B = (6ǃ-4ǃ)/2ǃ
C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
D = 10ǃx8ǃ/(6ǃ+5ǃ)
E - ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Proof -
A.
(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]
= 2! [ 4×3 + 1 + 3] / 2! [3 + 1]
= [12 + 1 + 3] / [4]
= [16] / [4] = 4
⇒(4! + 2! + 3! )/ (3! + 2!) = 4
B.
(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!
= 4! [6×5 - 1] / 2!
= 4×3×2! [ 30 - 1] / 2!
= 12 [29] = 348
⇒(6ǃ-4ǃ)/2ǃ = 348
C.
2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]
= 2!×3!×4! / 4! [ 5 + 1]
= (2×1) × (3×2×1) / 6
= 12 / 6 = 2
⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2
D.
10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]
= (10×9×8×7×6×5×4×3×2×1) ×(8×6)
= 174182400
⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400
E.
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!
[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)! [ (x+4)+ 1] = 6!
[(x+5)(x+4)(x+3)! / ( [ x+ 5 ] = 6!
(x+4)(x+3)! = 6!
(x+4)! = 6!
x+ 4 = 6
x = 6 - 4
x = 2
Note :
x! = x(x-1)(x-2).......(4)(3)(2)(1)