Answer:
[tex]n = \frac{t - 2}{3} [/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]t - 2 = 3n[/tex]
2) Divide both sides by 3.
[tex] \frac{t - 2}{3} = n[/tex]
3) Switch sides.
[tex]n = \frac{t - 2}{3} [/tex]
Therefor, the answer is n = t-2/3.
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))
what's
[tex]12 + 24 \div 6[/tex]
Clara wants to run a total of 5miles. Each lap around the track is 0.25 miles. How many laps around the track does Clara need to run to complete 5miles?1 laps 2 laps 17.5 laps 22 laps
Tell whether the triangle is a right triangle. Show Work.
Answer:
This is not a right triangle because the hypotenuse is less than the two sides and aren't equal when following the Pythagorean thm
Step-by-step explanation:
To confirm if a triangle is a right triangle, we must use the Pythagorean thm
a^2 + b^2 = c^2
23^2 + 11.4^2 = 21.2^2
529 + 129.96 = 449.44
658.96 ≠ 449.44
Could someone please help??? "What is the simple interest that is missing from the table? Use the formula 1 = prt "
Answer:
$450.40
Step-by-step explanation:
I=(PRT)/100
I=(5630*4*2)/100=$450.40
Which expression models the phrase "Wally mowed two more lawns than he mowed last week"? n + 2 n minus 2 2 minus n 2 n
Given:
The phrase is "Wally mowed two more lawns than he mowed last week".
To find:
The expression that models the given phrase.
Solution:
Let the number of lawns mowed by Wally last week be n.
We know that, we use plus sign "+" for "more".
If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.
Lawns mowed this week = [tex]n+2[/tex]
The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
In a right triangle, one of the non-right angles is 73 degrees. What is the measure of the other non-right angle?
If a driver takes 6 hours to get to the town market which is 336 km away from his house, what is his average speed?
Answer:
[tex]56\ \text{km/h}[/tex]
Step-by-step explanation:
[tex]t[/tex] = Time taken = [tex]6\ \text{hours}[/tex]
[tex]d[/tex] = Distance = [tex]336\ \text{km}[/tex]
Average speed is given by
[tex]s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}[/tex]
[tex]\Rightarrow s=\dfrac{336}{6}[/tex]
[tex]\Rightarrow s=56\ \text{km/h}[/tex]
The average speed of the driver is [tex]56\ \text{km/h}[/tex].
A bag with 6 marbles has 2 blue marbles, 1 yellow marble, and 3 red marbles. A marble is chosen from the bag at random. What is the probability that it is blue?
Write your answer as a fraction in simplest form.
Please help im struggling so much and nobody ever actually helps litterally im so stressed with online school and i need help really bad so please make my dat why helping me IM SO STRESSED :(
Answer:
4/12
Step-by-step explanation:
hope this helps and have a great day
can u mark me as brainliest plz and thx
5
A rectangular box of rice is shown below.
How many cubic inches of rice can fit inside?
5 in.
6 in
7 in.
cubic inches
Answer:
210in^3
Step-by-step explanation:
Given data
Dimension
Length= 5in
Width= 6in
Height= 7in
The expression for the volume of a rectangle is given as
Volume= L*W*H
Substitute
Volume= 5*6*7
Volume= 210in^3
plz help giving brainlest plz due in 10 min will give extra points if u help
Answer:
1.209in²
2.125mi²
3.c=4mm
hope I helped you
A ray has ................ end point/points.
A. 1
B. 2
C. 3
D. no
Answer:
one
Step-by-step explanation:
Answer:
is is letter a since a ray has only 1 end point
draw the graph of y=3-1/2x
Simplify the left side of the equation.
(x + 10) + (4y - x - 10) = 180°
4y = 180°
y= 45°
Combine like terms.
Divide both sides by 4.
Therefore, x = 14 and y = 45.
Now find the measure of each angle. First, find the measure of ZBMQ. To do so, substitute the
value of x into the expression (x + 10)° and simplify.
(x + 10) = (14+ 10) Substitute.
Add.
Help
Answer:
24
Step-by-step explanation:
14 + 10 = 24.
The Question has given hints.
Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets.
Answer:
3 student tickets and 5 adult tickets
Step-by-step explanation:
i need help please asap
no links or random answers i will report
question: ( A rectangular tabelcloth cost $3.25. A similar tablecloth is five times longer and five times wider. how much would you pay for the table cloth?)
Answer:
32.50
Step-by-step explanation:
times it all be 5 than you will get your answer
Answer:
$81.25
Step-by-step explanation:
A = l * w
5 (times longer) * 5 (times wider) = 25 (times longer & wider)
25 * cost
25 * $3.25 =
$81.25
Write the equation for the following quadratic relation in standard form:
a= -2 and with a vertex at (-3,4)
Answer:
3x-x+2=4
Step-by-step explanation:
What is radiant energy from the sun called
Answer:
Ultraviolent radient energy
please help, find the area
Answer:
26 units^2
Step-by-step explanation:
You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.
Triangle 1 = 1/2(2 x 7) = 7
Triangle 2 = 1/2(2 x 7) = 7
Triangle 3 = 1/2(2 x 6) = 6
Triangle 4 = 1/2(2 x 6) = 6
Total Area = 26
The area of the kite is 26 units^2
Pls Help asap thx alot
Answer: 52.5cm²
Step-by-step explanation:
Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.
To work out the area of the rectangle you would have to do 8x5=40.
To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.
Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5
To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²
Hope this helps :)
y=3/4x+2 linear or non linear
Answer:
linear
Step-by-step explanation:
What are the multiples of 2?
Answer:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
Step-by-step explanation:
Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.
Help, please :) Giving 16 points and PLEASE BE CORRECT! This is a test so I don't want to get it wrong. Thank you so much!
Answer:
y=x+4
Step-by-step explanation:
...
Simplify 4x^2 / 3 X 6/ 8x
Answer:
x
Step-by-step explanation:
The answer to
[tex] \frac{4 {x}^{2} }{3} \times \frac{6}{8x} [/tex]
= x
Answer:
x
Step-by-step explanation:
[tex]\frac{4x^{2}}{3}*\frac{6}{8x} = \frac{4x^{2-1}}{1}*\frac{2}{8}\\\\=4x*\frac{1}{4}\\\\= x[/tex]
What is 3.5 divided by 16.87 using long division.
Answer:
CORRECT ME IF I'M WRONGStep-by-step explanation:
#CARRY ON LEARNINGa recipe for barbecue sauce calls for 1/2 cup of brown sugar for every 2/3 of ketchup How many cups of brown sugar is required for every 1 cup of ketchup?
Answer:
3/4
Step-by-step explanation:
1/2 : 2/3
X : 3/3
3/4 : 3/3
Answer: 3/4
Step-by-step explanation:
Which choice is the solution for the inequality shown below? -5x + 10 > 5
A. x > 1
B. x < 1
C. x > -3
D. x < -3
(Also all the > and < signs had lines under them)
Answer:
d
Step-by-step explanation:
The average number of people who attended football games at a stadium increased from 8000 people in the year 2005 to 12500 people in the year 2012. By what percentage did the average number of people at the games increase from 2005 to 2012?
Answer: 43.75%
Step-by-step explanation:
The percentage change is given by:
= [Final value - initial value / Initial value] x 100
The percentage increase in the average number of people from 2005 to 2012 is 56.25%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
The average number of people in 2005 = 8000.
The average number of people in 2012 = 12500.
The change in the average number of people from 2005 to 2012.
= 12500 - 8000
= 4500
The percentage change in the average number of people at the games from 2005 to 2012.
= [Change in the average number of people / Average number of people in 2005] x 100
= (4500 / 8000) x 100
= 450/8
= 56.25%
Thus,
The percentage increase in the average number of people from 2005 to 2012 is 56.25%.
Learn more about percentages here:
https://brainly.com/question/11403063
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Find the equation of the line through point (4,−1) and perpendicular to y=x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Zak ears a fixed salary of $3,100 per month plus 2.65%
commission on the amount of his sales at a men's clothing
store. What would Zak earn this month if he sold $9,000
in clothing?
Answer:
$3100 base
9000 x .0265= 238.50 in commissions.
total of 3100+238.50= $3338.50