determine the effects on the graph of the parent function f(x)=x+10 when g(x)=0.3f(x)
Answers
Answer:
First, remember the definition of a vertical contraction/dilation.
If we have a function f(x), and we dilate it with a factor A, such as:
g(x) = A*f(x).
If A is larger than 1, then we are dilating the graph of f(x)
if A is smaller than 1, then we are contracting the graph of f(x).
In this case we have:
f(x) = x + 10 and g(x) = 0.3*f(x) = 0.3*x + 0.3*10 = 0.3*x + 3.
A = 0.3
then we have a contraction.
From this, we can conclude that the effects of this transformation in the graph will be that the graph of g(x) will be a vertical contraction of the graph of f(x).
(Where contracting means that in a given interval [x1, x2] the associated interval [f(x1), f(x2)] will be larger than [g(x1), g(x2)])
Below you can see both graphs, and see the difference between them, where green is f(x) and blue is g(x)
Related Questions
A store sells a shirt discounted by 10%. A coupon is used for an additional 10% off the discounted price. What is the total percentage discounted off the shirt? (PLEASE HELP ME)
Answers
Answer:
20%
Step-by-step explanation:
on a scale, 1 inch represents 600 miles. How many miles does 3/4 represent
Answers
Find the sum or the difference a. -2.63+3/1/4
Answers
Answer:
-1.88
Step-by-step explanation
Put both terms in decimal form. -2.63 is already in decimal form, so, you only have to put 3 1/4 in decimal form.
So, -2.63+0.75=-1.88
Solve for d.
2d = 8
d = ?
Answers
Answer:
d = 4
Step-by-step explanation:
First, we take the equation 2d = 8
In order to find out what the value of 9 must be in order to make this equation true, we must isolate the variable. That can be done by doing the opposite operation. In this case, the opposite operation would be division since d is being multiplied by 2 to get 8.
So, we have to divide both sides of the equation by 2:
2d = 8
2 2
2d divided by 2 is equal to d.
And 8 divided by 2 is equal to 4.
Therefore, d is equal to 4.
Hope this helps!!
Answer:
d=4
.......................................
is c=2.54n a proportional relationship
Answers
Answer:
No
Step-by-step explanation:
Answer:
yes because it is being multiplied by N
Dividing integers
-2/15 divided by 11/30
Answers
Answer:
-0.36363636363
Step-by-step explanation:
Divide it.
The platform of a roller coaster is 12 feet off the ground. The first hill rises an additional 102 feet. The first drop is 90 feet. How far off the ground is the rollercoaster after the first drop?
Answers
Answer:
The roller coaster is 24 feet above the ground after the first drop.
Step-by-step explanation:
12 feet + 102 feet - 90 feet = 24 feet.
Answer:
The roller coaster is 24 feet above the ground after the first drop.
Step-by-step explanation:
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes. Calculate the price per 36 rolls for each shop. Write which shop is the best value for money in the comment box. lidals deal is 9 £3.51 oldi deal is 4 £1.52
Answers
Answer: Oldi gives the best value of money.
Step-by-step explanation:
Lidal's deal : 9 rolls for £3.51
Oldi's deal : 4 rolls for £1.52
Cost per roll = [tex]\dfrac{\text{total cost}}{\text{Number of rolls}}[/tex]
So,
For Lidal, Cost per roll = [tex]\pounds\dfrac{3.51}{9}=\pounds0.39[/tex]
For Oldi', Cost per roll = [tex]\pounds\dfrac{1.52}{4}=\pounds0.38[/tex]
Clearly, [tex]\pounds 0.39> \pounds 0.38[/tex]
Hence, Oldi gives the best value of money.
4. Write the modal class of the following frequency distribution:
Class interval
10-20 , 20 - 30 ,30 - 40, 40-50, 50 - 60
Frequency..
33
38
65
52
19
48
Answers
The modal class, or mode class, is the class that has the highest frequency. Visually on a bar graph or histogram, it is the bar that is the tallest.
In this case, the highest frequency is 65 which corresponds to the class 30-40. The third frequency is the highest, so the third class is the modal class.
Answer: The interval 30-40 is the modal classMay you please help me!? (Also may you please show your work so I understand?)
Answers
Answer:
(2,3) (-2,1) (-4,-1) (4,-1) (4,-2) (0,-3)
Step-by-step explanation:
its x then y so you would find the number on the line the dot is on going from left to right for x, then for y go from up to down. also the answers are going from the top of the page, down. hope i helped!
i need help asap plsssssss helpppppp
Answers
The radius, you are correct, but to the nearest whole number would simply be 12. So the radius is 12cm.
For the area, you use the formula pi r^2.
So the area would be 452cm^2
If (3 , K) and (2, 4k) are two points on a graph of a line and k is not equal to 0, what is the slope of the line?
Answers
-1.1 devide by -2 need help with this
Answers
Answer:
Step-by-step explanation:
-1.1 divided by -2 would be -3
Answer:
11/20 or 0.55
Step-by-step explanation:
-1.1÷-2=0.55
what is the midpoint between point A and B
Answers
Answer: (-1,4) is the answer
Carla makes $18.50 per hour. Calculate her earnings for a 30 hour week.
Gross Earnings
Taxes Withheld
Social Security Tax
Gross Pay:
$33.48
Medicare Tax
$7.83
Federal Tax
$65.50
Total Amount of Withholdings/
$21.60
Deductions:
State Tax
Deductions
Net Pay:
Net Earnings
Answers
Answer:
Her earnings would be $555
Answer:It's b
Step-by-step explanation:
What is the point slope of a line with the slope 4 that contains the point (-3, -4) ?
A. y + 4 = -4 (x + 3)
B. y - 4 = -4 (x - 3)
C. y - 4 = 4 (x - 3)
D. y + 4 = 4 (x + 3)
Answers
Answer:
Correct choice: D.
[tex]y+4=4(x+3)[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
[tex]y-k=m(x-h)[/tex]
Where m is the slope and (h,k) is a point through which the line passes.
According to the question, the slope of a line is m=4 and it contains the point (-3,-4), thus, replacing the values:
[tex]y-(-4)=4(x-(-3))[/tex]
Operating:
[tex]\boxed{y+4=4(x+3)}[/tex]
Correct choice: D.
Find the product of each pair of complex conjugates.
(3 + 8i)(3 – 8i)
Answers
Answer:
73
Step-by-step explanation:
What is the vertex of the quadratic equation? y=(x+6)^-4
(6,-4)
(6,4)
(-6,-4)
(-6,4)
Answers
Math!!! Ugh I need help please
Answers
Answer:
The relationship is 10+5(r)
Step-by-step explanation:
im not sure but this might be it or at least might help you find your answer:)
What is the distance between (-5, 4) and (-6, 2)? Round your answer
to the nearest ten
Answers
Step-by-step explanation:
apply distance formula
8. A line passes through the points (0-2) and (0,5). Is it possible to write an equation of the line in
slope-intercept form? Justify your answer.
Answers
Answer: No
Step-by-step explanation:
There is no slope
It is not possible to write the equation of the line passing through (0, -2) and (0, 5), because slope is not defined.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given that a line passes through two points (0, -2) and (0, 5).
Both the points are on Y axis.
Therefore the line is along the Y axis.
Slope of a line along the Y axis is not defined since the Y axis is making 90° with the X axis and tan 90° is the slope, which is not defined.
Or in other words, taking the given points,
slope = change in y coordinates / change in x coordinates
= (5 - -2) / (0 - 0)
= 7 / 0, not defined.
Hence the equation of the line along the Y axis cannot be written in the slope intercept form as the slope is undefined.
To learn more about Slope, click :
https://brainly.com/question/29027297
#SPJ2
Choose one of the formulas, i do not know which one to choose from.Explanation as well please.
At the end of week one, a stock had increased in value from $5.75 a share to $7.50 a share.Find the percent of increase at the end of week one to the nearest tenth of a percent.At the end of week two, the same stock had decreased in value from $7.50 to $5.75.Is the percent of decrease at the end of week two the same as the percent of increase at the end of week one?Justify your answer.
Answers
First, we will find the increase. I don't think it's any of the 3 formulas listed.
The formula I'll be using is Increase = Increased value - Original value
Let x be increase.
x = $7.50 - $5.75
x = $1.75
We then divide the increase by the original value.
Percent of increase = Increase/Original value
Let x be percent of increase.
x = $1.75/$5.75
x is approximately 0.30437
To turn a decimal into a percent, multiply it by 100.
0.30437 x 100 = 30.437
30.437 can be rounded to 30.4
The percent of increase at the end of week one is 30.4%
At the end of week two, the same stock had decreased in value from $7.50 to $5.75.We will first need to find the percent of decrease.
The formula will be Decrease = Original value - Decreased value
Let x be decrease
x = $7.50 - $5.75
x = $1.75
We then divide the decrease with the original value.
Percent of decrease = Decrease/Original Value
Let x be percent of decrease
x = $1.75/$5.75
x is approximately 0.30437
To turn a decimal into a percent, multiply it by 100.
0.30437 x 100 = 30.437
30.437 can be rounded to 30.4
The percent of decrease at the end of week one is 30.4%
Is the percent of decrease at the end of week two the same as the percent of increase at the end of week one? Justify your answer.No because the full percent of increase at the end of week one is 100% + 30.4% so that would be like a 130.4% increase while at the end of week two, it would be 130.4% - 30.4% and that would lead us back to 100%.
How do I do this problem?
Answers
Answer: you would put x and y in their places
and solve it, remember, Ax+By+C=0
but in this case its Dx+Ey+F
4/5 x 2/7 because my teacher is saying its not this sooooo
Answers
Answer:
8/35
Step-by-step explanation:
4/5x2/7
4x2=8
5x7=35
Hope this helps. Plz give brainliest.
Answer:
8/35 Good luck sis ;)
Step-by-step explanation:
What is the slope, the Y-intercept and the equation for this graph??
Answers
Answer:
equation of the line: y=1/2x-1
slope :1/2x
y intercept: -1
Step-by-step explanation:
using y1-y2/x1-x2:
-1-0/0-2= -1/-2=1/2
the slope is 1/2.
plug in the numbers from the given points to find the y intercept:
-1=1/2•0+b
b= -1
the y intercept is -1.
with that, you've gotten the slope and the y intercept, which means you just have to plug them into y=mx+b.
so, the equation of the line is y=1/2x-1
need help with this
Answers
Answer:
Slope-int form: y = 3x+5
Standard form: y - 3x = 5.
Step-by-step explanation:
(reminder: slope-intercept form is expressed as y=mx+b, and standard form is expressed as ax+bx=c.)
Since the slope is 3, the coefficient of x is also 3, which makes the equation y=3x.
But the y coordinate of the equation at x = -2 is -6, so we need to add 5 to the end of the equation, leaving you with:
y=3x+5.
To convert it to standard form, subtract 3x from both sides:
y - 3x = 5.
I hope this helped you.
4. Solve the equation x2 = 10
Answers
Answer:
x=5
Step-by-step explanation:
u should know this not that hard to do
What would the equation be
Answers
Answer:
B= x + 5
C= 3x + 7
D= 5 * 7 =35 or 7 + 5= 12
A?= 3x^2 or 3x + x =4x
Step-by-step explanation:
The graph below showed the amount of money Jason saved over a 5 month period.
Part A write an equation that represents the graph
Answers
Answer:
owo
Step-by-step explanation:
3x-(2-4x) x is a variable
3x-(2+4x)
PLEASE ANSWER ASAP TEACHER CALLED ON ME
Answers
Answer:
Your answer is: - x - 2
Simplify the expression.
Step-by-step explanation:
Hope this helped : )