The graphs of f(x)=|x| and g(x)=|5x| are related in the sense that they are similar in shape, but with a difference in scale along the x-axis.
What do you mean by graph?A graph is a visual representation of mathematical data or functions. It usually depicts the relationship between two variables on a coordinate plane. The x-axis and y-axis represent the two variables, and the graph of a function is a set of points in the coordinate plane that satisfies the rule defined by the function. Graphs are used to analyze and interpret data, model real-life situations, and provide insights into the behavior of mathematical objects. There are several types of graphs, including bar graphs, line graphs, scatter plots, and histograms, and each type is used to represent data in a unique way.
The graph of f(x)=|x| is a piecewise linear function that represents the absolute value of x. It has two branches, one for x>=0 and the other for x<0, both of which are straight lines with slope 1. The graph of this function forms a V-shape, with the vertex at the origin (0,0).
The graph of g(x)=|5x| is similar to that of f(x)=|x|, but with a difference in the scale of the x-axis. As the function has a coefficient of 5, it means that the shape of the V-shape will remain the same, but the height of the branches will be 5 times that of f(x)=|x|. In other words, the graph of g(x)=|5x| will be steeper and more spread out than the graph of f(x)=|x|.
So, the graphs of f(x)=|x| and g(x)=|5x| are related in the sense that they are similar in shape, but with a difference in scale along the x-axis.
To know more about coefficient visit:
https://brainly.com/question/27481600
#SPJ1
The angle of elevation of a car to the top of a tree is 60°. If the height of the tree is 34 feet, find the distance between the car and the tree rounded to the nearest whole number.
Answer:
17 feet
Step-by-step explanation:
cos = adj/hyp
cos60 = adj/34
34 * cos60 = adj
adj = 17
This Histogram shows the heights in inches of members of a middle school volleyball team. How many members are between 50 and 70 inches tall?
A. 12
B. 10
C. 6
D. 4
Answer:all i know its either 12 or 6 i hope u get it right:)
Step-by-step explanation:
Answer: B.12
Step-by-step explanation: DID YOU EVAN THINK BECAUSE I DIDNT
You guys are legit tjamks
Answer:
The answer is option C. 13/15
Step-by-step explanation:
1-2/15= 13/15
What is the simple interest earned on a $1,000 principle, with a 7.8% interest rate, after 4 years? (Show your work)
Answer:
312
Step-by-step explanation:
1000x.078=78 interest per year
78 interest x4 years=312 interest after 4 years.
find the perimeter and area of the polygon with the given vertices. P(-3,4), Q(1,4), R(-3,-2), S(3,-2)
Answer:
OMG!!!!!!!!!OMG!!!OMG
CAN SOMEONE HELP ME PLEASEEEEEEE
Answer:
a) = 7x² + 4y²
b) = 3x + 7xy - 7
Step-by-step explanation:
a) = (9 - 2) x² + (-3 + 7) y²
= 7x² + 4y²
b) = (8 - 5) x + (3 + 4) xy - 7
= 3x + 7xy - 7
find the measure of side NO. Figures are not drawn to scale.
Which of the graphs below represents a system of equations that has no
solution?
Answer:
the second graph which shows parallel lines
Step-by-step explanation:
ANSWER FAST WILL GIVE BRAINLIEST A box contains red, green, blue, and yellow balls. Jill randomly took a ball out of the box 55
times and recorded its color. Each time, she replaced the ball before taking out another one.
The table shows the colors of the balls that Jill took out of the box.
Can u solve these please I need help
Answer:
Step-by-step explanation:
take 48 degree as reference angle
using tan rule
tan 48=opposite/adjacent
1.11=missing side/58
1.11*58=missing side
64.38=missing side
Daniel used wire fencing to form a border around a circular region in his back yard.
If the radius of the circular region was 5 yards, what was the total length of the border,
rounded to the nearest tenth of a yards
Answer:
31.4 yards
Step-by-step explanation:
credits: ApusApus
source: https://brainly.com/question/9514844
can someone help me plz
Answer:
biuwrou cb irebcjhdhi qiiqbc uof hwtgapkvbzoire oicsboeoubdqubvugfh vxjcwdhwocddjhcqwugcgwcidcdbvubirjgcuiscidvibszj uschosclhsihfhrvghsuviefytcurdyg/cvadhrhegvtxj hachjcskpkevjkgrjtbwfn. crjcbejcbjthrhs d .
4. Un cuadrado tiene un área de 400 cm2; si se aumenta un centímetro por lado, ¿cuál será el perímetro del nuevo cuadrado?
Step-by-step explanation:
I can't read Spanish or read Spanish I'm sorry
Gary was looking for a new cell phone plan. Company A is offering $50 for the phone and $.20 per minute for data usage. How much would Company A’s phone plan cost if Gary spends on average 200 minutes for data?
Answer:
$90
Step-by-step explanation:
c = 50 + .2m
c = 50 + .2(200)
c = 50 + 40
c = 90
Sochi starts reading at 11 25 AM and ends at 12 09 PM How many minutes does Sochi read? Use the number pad to enter your answer in the box minutes
Answer:
Step-by-step explanation:
11.25=11.25 hrs
12.09=12.09 hrs
time=12.09-11.25=44 minutes
Answer:
44 minutes
Step-by-step explanation:
35 minutes from 11:25 AM to 12 pm
9 minutes from 12:00 pm to 12:09 pm
35 + 9 = 44 minutes.
what is the solution to this system of linear equations 2x +3y =3 7x -3y= 24
Answer:
5
Step-by-step explanation:
The question is in the image. Please help me.
Answer:
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the center of the circle and r is the radius. Our center is located at (0, 1), so h = 0 and k = 1. Going from the center straight up of down we have to move 2 units to get to a point on the outside of the circle, so r = 2. Filling in our equation:
[tex](x-0)^2+(y-1)^2=2^2[/tex] which simplifies a bit to
[tex]x^2+(y-1)^2=4[/tex]
can someone please help me with this question
Answer:
15 kilometers
Step-by-step explanation:
So we know:
For 4 days she runs 1500 meters each day.
For 3 days she runs 3 kilometers each day.
First off, lets convert 1500 meters into kilometers.
There are 1000 meters in a kilometer, so pluggin in 1500 meters:
1500/1000 = 1.5
So for 4 days she runs 1.5 kilometers each day.
Now, to find the total kilometers, we must find multiply the 1.5 kilometers by the 4 days, the 3 kilometers by the 3 days, then add those two together.
So lets do this:
1.5*4 = 6
So she ran 6 kilometers in the first 4 days.
Next we have:
3*3 = 9
So she ran 9 kilometers in the last 3 days.
Now finally add them together:
6 + 9 = 15
So she ran a total of 15 kilometers.
Hope this helps!
1/2x = -9 what to do help
Answer:
1
2
=
−
9
\frac{1}{2}x=-9
21x=−9
1
2
=
−
9
Answer:
Step-by-step explanation:
I'm assuming that you are solving for x, since there's nothing else you can do with this mathematically.
[tex]\frac{1}{2}x=-9[/tex] and the goal is to get the x all alone. So we have to lose the fraction. Do that by multiplying by the reciprocal of 1/2 which is 2/1 (a reciprocal is just a fraction flipped upside down). BUT...because this is an equation, what you do to the left side has to be done to the right side too. Like this:
[tex](\frac{2}{1})\frac{1}{2}x=\frac{-9}{1}(\frac{2}{1})[/tex]
On the left, everything cancels out but the x (which is why we do this), and on the right we multiply straight across the top and straight across the bottom to get
[tex]x=\frac{-18}{1}[/tex] which is
x = -18
I need help with this homework
Answer:
Step-by-step explanation:
P(even) fraction: 12/25 %: 48%
P(more than 20) fraction: 1/5... %: 20%
P(even and more than 20) fraction: 2/25 %: 8%
P(less than 5 or more than 20) fraction: 9/25 %: 36%
P(prime and less than 10) fraction: 4/25 %: 16%
P(multiple of 5) fraction: 1/5 %:20%
¿Cuanto es el 15% de 9,000?
Answer:
10% = 900
5% = 450
15% = 1,350
Please brainliest
Leia cuts congruent triangular patches with an area of 27 square centimeters from a rectangular piece of fabric that is 18 centimeters long and 6 centimeters wide.
How many of the patches can Leia cut from 30 pieces of the fabric?
Answer:
112 patches can be made.
You and your friends are starting a t-shirt business. The company you buy t-shirts from charges you $3 for each shirt plus a one-time screen print set up fee of $50. After surveying other students, you are going to sell the shirts for 7 each
A. Will your company be successful if you sell 23 shirts
B. Will your company be successful if you sell 10 shirts
C. How many shirts will you need to break even
Answer:
Part A. Answer: The company will be successful selling 23 shirts.
Part B. Answer: The company will not be successful selling 10 shirts.
Part C. Answer: 13 shirts
Step-by-step explanation:
initial cost: $50
cost per shirt: $3
sale price per shirt: $7
number of shirts: x
The cost, y, of x shirts is
y = 3x + 50
Part A.
cost of 23 shirts
y = 3(23) + 50
y = 119
revenue from selling 23 shirts:
23 * $7 = $161
It costs $119 to make 23 shirts. They are sold for $161.
Part A. Answer: The company will be successful selling 23 shirts.
Part B.
cost of 10 shirts
y = 3(10) + 50
y = 80
revenue from selling 10 shirts:
10 * $7 = $70
It costs $80 to make 10 shirts. They are sold for $70.
Part B. Answer: The company will not be successful selling 10 shirts.
Part C.
To break even, the cost and the revenue must be equal.
Cost of x shirts: 3x + 50
Revenue from selling x shirts: 7x
7x = 3x + 50
4x = 50
x = 12.5
The break even point is 12.5 shirts. Since the number of shirts sold must be a whole number, the break even number is 13.
Part C. Answer: 13 shirts.
Identify the explicit function for the sequence in the table x 1,2,3,4,5 y 9,14,19,24,29
Answer:
[tex]a_{n}[/tex] = 5n + 4
Step-by-step explanation:
There is a common difference between the consecutive terms of y
29 - 24 = 24 - 19 = 19 - 14 = 14 - 9 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 5 , then
[tex]a_{n}[/tex] = 9 + 5(n - 1) = 9 + 5n - 5 = 5n + 4
answer options for anyone who can give correct answer
For the given table of values for a polynomial function, where must the zeros of the function lie?
A. between 3.0 and 3.5 and between 4.0 and 4.5
B. between 3.5 and 4.0 and between 4.0 and 4.5
C. between 4.0 and 4.5 and between 4.5 and 5.0
D. between 3 .5 and 4.0 and between 4.0 and 4.5
E. between 3 .5 and 4.0 and between 5.0 and 5.5
Answer:
A. Between 3.0 and 3.5 and between 4.0 and 4.5
Step-by-step explanation:
The zeroes of a function occur whenever a value of x returns zero. To predict where the zeroes lie, determine the interval(s) where the function crosses the x-axis. This occurs when either [tex]f(x)[/tex] goes from a negative value to a positive value or vice versa.
From [tex]x=3.0[/tex] and [tex]x=3.5[/tex], the y-values go from 4.0 (positive) to -0.2 (negative), respectively. Therefore, there must be a zero in this interval.
From [tex]x=4.0[/tex] and [tex]x=4.5[/tex], the y-values go from -0.8 (negative) to 0.1 (positive), respectively. Therefore, there must also be a zero in this interval.
Thus, the zeros of this function occur between 3.0 and 3.5 and between 4.0 and 4.5, leading to answer choice A.
Answer:
between 3.0 and 3.5 and between 4.0 and 4.5
Step-by-step explanation:
Plato/Edmentum
Choose the correct simplification of the expression the quantity 4 times x all over y all to the second power
Answer:
[tex]( \frac{4x}{y})^{2}[/tex]
Step-by-step explanation:
A bag contains 2 red, 4 blue, and 4 yellow marbles. What is the probability of pulling a red marble, putting the marble back, and then pulling a blue marble?
Answer:
Red: 1/5 or 0.2 or 20% (depends if the question asked you to give the answer in fraction/decimal/percentage. Either way, it's still correct)
Black: 0
Blue: 2/5 or 0.4 or 40%
Step-by-step explanation:
In total, the bag contains 10 balls,
2 are Red = 2/10 = 1/5There are no black marbles so you have 0 chance of pulling them out.4 are blue = 4/10 = 2/5
Find the value of x. Round to the nearest degree.
A) 27
B) 60
C) 30
D) 26
Answer:
Step-by-step explanation:
take x degree as reference angle
using sin rule
sin x=opposite/hypotenuse
sin x=9/18
sinx=0.50
x=sin 30
x=30 degree
Help me I really need to get this done
Answer:
It’s the second one
Step-by-step explanation:
A car is traveling at a constant rate of x miles per hour how many miles will the car travel in y minutes
Answer:
Step-by-step explanation:
1 mile