It should be noted that to obtain the graph of g(x) = |3x| from one of the basic graphs, we can start with the graph of y = |x|, which is the basic graph for the absolute value function.
How to explain the graphFirst, we need to take the original function g(x) = |3x| and replace x with x/3 to get g(x/3) = |x|. This transformation stretches the graph horizontally by a factor of 1/3, making it narrower.
Next, we need to apply the vertical stretch by a factor of 3 to the graph of y = |x|. This involves multiplying all the y-coordinates of the points on the graph by 3. This transformation will make the graph taller.
Finally, we combine these two transformations by graphing the transformed function g(x/3) = |x| with the vertical stretch by a factor of 3. The resulting graph of g(x) = |3x| will be a taller, narrower version of the basic graph of y = |x|, with the vertex at the origin and the slope changing from negative to positive at x = 0.
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Tommy bought a total of 30 apples and oranges for a classic picnic. Apple's cost $3 per pound and oranges cost $4 per pound. Tommy spent $100 total. How many apples and oranges did Tommy buy?
Answer:
20 apples and 10 orangesStep-by-step explanation:
Let amount of apples be x and oranges be y
Then we have:
x + y = 303x + 4y = 100Subtract triple of the first equation from the second one:
3x + 4y - 3(x + y) = 100 - 3*303x - 3x + 4y - 3y - 10y = 10Then finding x
x = 30 - 10 = 20So apples = 20, Oranges = 10
rights answers only:)
The measure of angle 6 is 38°.
What are vertically opposite angles?
Vertically opposite angles are pairs of angles formed by two intersecting lines that are opposite to each other and share the same vertex but are not adjacent angles.
When two lines intersect, they form four angles at the intersection point. The vertical opposite angles are the pairs of angles that are opposite to each other and are not adjacent angles.
We know that, if two lies are parallel and a transversal cuts the lines.
then, the angle formed are corresponding angles ad the vertically opposite angles formed will be equal.
similarly, In the give figure,
we ca see that angle 6 ad angle 38 are vertically opposites angle.
so, angle 6 = 38°
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Equation of a line with a slope: m= 4/5 and y-intercept = -3
Write the equation of a line that will intersect the line above at a 90 degree agnle
The perpendicular line to the given one is of the form:
y = (-5/4)*x + b
Where b can be any number.
How to write the linear equation?A general linear equation can be written as:
y = m*x + b
Where m is the slope and b is the y-intercept.
Here we know that:
m= 4/5 and y-intercept = -3
Then the line is:
y = (4/5)*x - 3
And a line that intersect's it a 90° angle is a perpendicular line. Two lines are perpendicular if the product of the slopes is -1
So if a is the slope of our line:
a*(4/5) = -1
a = -5/4
The perpendicular line is of the form:
y = (-5/4)*x + b
Where b can be any real number.
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When can parallelism make your algorithms run faster when could it make your algorithms run slower?
When an algorithm necessitates extensive sharing of instantaneous results, parallelism slows it down. Because there are multiple independent parallel processes and the right number of threads, parallelism will speed up an algorithm.
What algorithm is parallelizable?The ones with data dependencies are the most challenging. It will be exceedingly challenging, for instance, if you are dealing with a vector and the input for the computation at point n depends on the output at position n-1.
When this occurs, you must comprehend what the original algorithm is doing and take an alternative approach. For the aforementioned case, it might be a difficulty with digital signal processing including a feedback-containing digital filter. These are challenging to parallelize, but that is not the sole solution. Instead, you might use the filter and signal's fast Fourier transforms, multiply them, and then perform the inverse transform. All of these operations can be partially parallelized.
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On a highway a wreck occurred and caused an 8 mile traffic jam on one side of the road. The average car is 14.5 feet in length, the average truck is 21 feet in length, and the average 18 wheeler tractor trailer is 73 feet in length. 70% of the traffic jam consists of cars, 20% trucks, and 10% 18 wheeler tractor trailers. If the average distance between vehicles is 4 feet, how many vehicles are stuck in the traffic jam?
Answer:
1647
Step-by-step explanation:
Given the following information:
Length of traffic = 8 miles
Average Length of vehicles on the road :
Cars = 14.5 feets
Trucks = 21 feets
18 Wheeler tractor = 73 Feets
% distribution of the different vehicles :
Cars = 70% = 0.7
Trucks = 20% = 0.2
18 wheeler tractor = 10% = 0.1
Distance between vehicles = 4feets
Number of vehicles stuck in the traffic :
Let number of vehicles = v
Summation of (number of vehicles * length of each vehicle) + distance between each vehicle = Length of traffic
Total distance between each vehicle = 4(v-1)
(0.7v * 14.5) + (0.2v * 21) + (0.1v * 73) + 4(v - 1) = 8 miles
1 mile = 5280
8 miles = (5280 * 8) = 42,240
10.15v + 4.2v + 7.3v + 4v - 4 = 42240
25.65v = 42240 + 4
25.65v = 42244
v =42244 / 25.65
v = 1646.939
v = 1647.
you flip a coin twice. what is the probability that you observe tails on the first flip and heads on the second flip? (write as a decimal)
.25
Step-by-step explanation:
probability can be difficult to answer because of the overlap with possibility and chances etc etc... lower level classes will typically take the answer .25 while higher-level classes may prefer the answer .5
Therefore, the probability of observing tails on the first flip and heads on the second flip is 0.25 or 1/4.
When flipping a fair coin twice, the outcome of each flip is independent of the other. The probability of observing tails on the first flip is 1/2 (0.5), and the probability of observing heads on the second flip is also 1/2 (0.5).
To find the probability of both events occurring, we multiply the probabilities together:
P(tails on first flip and heads on second flip) = P(tails on first flip) * P(heads on second flip) = 0.5 * 0.5 = 0.25.
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I need help with 6 and 7
Answer:
6. the answer is x=35
7. the answer is x=12
Step-by-step explanation:
In the inequality
a> 3x+8 or a>-4x-1, which value of a does the solution consist of numbers greater than -6 and less than 5?
A-16
B-26
C-19
D-23
Answer:
I think it is B correct me if I am wrong
Step-by-step explanation:
I need help ASAP!!!!!!
Answer:
r = 27
Step-by-step explanation:
Thank you for all your help I need this too ASAP pls
Answer:
A
Step-by-step explanation:
Quadratic equation
what is 5+5+5+5 please help me
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation: 5+5=10 ... 10+10=20
5 x 4 = 20ù
What is the fraction to this equation 0.020
Pls help fast.
Answer: 1/50
Step-by-step explanation:
0.020 = 20/1000 = 1/50
please help me answer the question in the picture
answer the following questions
Answer:
A) Even Numbers and Odd Numbers
Step-by-step explanation:
Help me solely this please
The value of b would be 5√3.
What is the 45-45-90 triangle?
A 45-45-90 triangle is a right triangle where the two acute angles are both 45 degrees and the hypotenuse is sqrt(2) times the length of either leg. This special right triangle is often used in geometry and trigonometry because its ratios of sides are simple and easy to remember. Specifically, if the length of one leg of a 45-45-90 triangle is x, then the length of the other leg is also x, and the length of the hypotenuse is x*sqrt(2).
In the given figure, apply the rule of 45-45-90 triangle, we get
Side opposite to the 45 degree = 1/√2 * Hypotenuse
b = 1/√2 * c
b = 1/√2 * 5√6
b = 5√3
Hence, the value of b would be 5√3.
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Find the mode for the following data set:10 30 10 36 26 22
In this particular data set, 10 is the only value that occurs more than once, so it is the only mode
The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.
Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.
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Can you use SSS to prove congruence?
The SSS(Side-Side-Side) Triangle congruency is proven by following rule.
In SSS (Side-Side-Side) condition the two triangles are said to be congruent if the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.
In mathematics, the term "congruent" refers to figures and shapes that can be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes. A triangle is a closed polygon with three line segments that intersect at each of its three angles.
Two shapes are congruent if their sizes and forms are comparable. Additionally, if two shapes are congruent, then their mirror images are likewise congruent.
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Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates that he has paid $240,141 towards the mortgage. What is the approximate APR?
3%
4%
6%
7%
Answer:
About 3%
Step-by-step explanation:
3% of $167,000 is $5,010
5010 times the 20 years is 100200 add that to the 167000 and you get $267,200
The actual answer is about 2.4% but 3% is the closest.
4) Choose the best answer.
Which is the correct piecewise definition for the function y=|x+5|-2?
y=x+3 for x < -5 and y=-7 for x ≥ −5
y=x-3 for x< 5 and y = -x + 7 for x ≥ 5
y=x+3 for x>-5 and y=-x+7 for x < -5
y=x-3 for x≥ 5 and y = -x + 7 for x ≥ 5
The correct piecewise definition for the function y = |x + 5| - 2 is,
y = x + 3, for x ≥ -5 and y = - x - 7, for x < - 5.
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Given, y = | x + 5 | - 2.
Now, y = (x + 5) - 2, for x + 5 ≥ 0 and y = - (x + 5) - 2, for x + 5 < 0.
y = x + 3, for x ≥ -5 and y = - x - 7, for x < - 5.
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jhony has ten apples he eats 1 how many does he have left
its odd you're in high school and you're asking this but its 9
For each of the following, define variables, write a system, and solve the system
algebraically:
a) An organization is holding a banquet in honor of its member of the year. Tables and
chairs must be rented in order to seat all the guests. A large table seats 12 and costs
$50. A small table seats 8 and costs $25. How many of each type of table must be
rented to seat 100 guests for $350?
b) The jazz band and choir are attending a concert. The jazz band bought 16 student tickets and 3
adult tickets for $110.50. The choir bought 12 student tickets and 4 adult tickets for $96. Find the
cost of each type of ticket
(i) Large Table Required are 3 and Small Table required are 8
(ii) Price of Student Ticket is $5.5 and Adult Ticket is $7.5
What is Linear Equation in Two Variable?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
(i)
Seats in Large Table = 12
Cost of Large Table = $50
Seats in Small Table = 8
Cost of Small Table = $25
Let, Number of Large Tables = x
Number of Small Tables = y
According to the Question:
12x + 8y = 100
50x + 25y = 350
x = 3, y = 8 (refer graph 1)
(ii)
Cost of Student Ticket = x
Cost of Adult Ticket = y
According to the Question:
16x + 3y = 110.5
12x + 4y = 96
x = $5.5, y = $7.5 (refer graph 2)
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please help me answer number 3 !!!
Answer:
Prime factorization method.(Table method)Step-by-step explanation:
Answer& Step-by-step explanation:
To multiply powers of the same base, add their exponents.
5d³ / 3f
Is 1/11 a irrational number?
Answer:
No
Step-by-step explanation:
Am irrational number is a number that can't be expressed by a ratio (fraction). 1/11 is a fraction so it is rational, not irrational.
A submurine was situated 832 deet below sea level. If it ascends 289 feet, what is its new position?
Answer:
It has moved 543 feet below sea level.
I hope this helps.
Answer:
-543 feet or 543 feet below sea level
Step-by-step explanation:
The submarine is currently at 832 feet below the sea level, or -832 feet. Ascending 289 feet means traveling up 289 feet. The equation to represent this would be -832 + 289, which equals -543.
Therefore, the submarine's new position is -543 feet or 543 feet below sea level.
hope this helps! <3
Apply the distributive property to factor out 5x.
(5x · x2) + (5x · 3x) − (5x · 7) =
Answer:
5x^3+15x^2-35x
Step-by-step explanation:
Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!
Hello, just checking my work. First right answer will be brainiest
Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long, for how many hours was Irwin riding?
0.2 hours
0.4 hours
2.5 hours
5.0 hours
Answer:
0.4
Step-by-step explanation:
how many minutes are in 4 miles
Answer:
I believe it’s C. 2.5
Step-by-step explanation:
Help me with this please?
V
What is the measure of the angle shown?
Answer:
The arrow indicates that the angle terminates in the second quadrant, meaning that its more than 270 deg
Write the algebraic expression (ex. 2x - 5) for this problem: Eight less than a number
Answer:
x - 8
Step-by-step explanation:
Answer:
Here you can simply use a single operator:
x - 8
Please help, 10 points <——- and will mark Brainly
Answer:
chicken and chicken
Step-by-step explanation:
just took the test