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
Determine the domain of the graph above
Answers
Find the distance between the points (-3,7)
and
(6, 7).
Answers
Answer:
9
Step-by-step explanation:
use the distance formula:
[tex]\sqrt{(x2 -x1)^{2} + (y2-y1)^{2} }[/tex]
so, with your two points, x2=6, x1=-3, y2=7, and y1=7
so then just plug in the values
[tex]\sqrt{(6--3)^{2} + (7-7)^{2} }[/tex]
because you have 6 minus a negative number, it turns into 6+3, like shown
[tex]\sqrt{(6+3)^{2} + (7-7)^{2} }[/tex]
so then add and subtract the parenthesis
[tex]\sqrt{(9)^{2} + (0)^{2} }[/tex]
so then because 0 squared is just zero, you simply have the square root of 9 squared
[tex]\sqrt{9^{2} }[/tex]
so then square the 9
[tex]\sqrt{81}[/tex]
then take the square root of 81, and you get 9!
[note that when you have the square root of a squared number, it is just the number, so the square root of 9 squared is just 9, but if it helps, you can work it out like I did to show you :)]
The distance between the points (-3, 7) and (6, 7) is 9.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
Where (a, b) and (c, d) are the two points.
We have,
(-3, 7) = (a, b)
(6, 7) = (c , d)
Now,
Distance between these two points.
= [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
= √(6 + 3)² + (7 - 7)²
= √9²
= 9
Thus,
The distance between the points is 9.
Learn more about distance of a line here:
https://brainly.com/question/14645718
#SPJ2
What is the unit rate for 64 books on 4 shelves
Answers
Answer:
the unit rate would be 16 books per shelves because 64/4 would equal 16:)
Step-by-step explanation:
A lumber company has 40,000
boards in stock. A construction
company bought 500 boards for
each of its construction projects. If
the lumber company has 12,000
boards left, how many construction
projects did the company have?
Answers
Answer:
12500
Step-by-step explanation:
we all know this is not high school math -_-
Find the missing side
Answers
Answer:
its E 21
Step-by-step explanation:
You're saying 5/6 + 7/8 has the greatest possible value.
How do you know for sure?
Plz help me
Answers
Answer:
yes you are saying 5-9-16 is greatest possible value but how can you show it please help me I am also
3. A serving of a frozen casserole is 1/6 of a pan. If Vicky eats 1/7 of the pan, what fraction of a serving has Vicky eaten? Vicky has eaten of a serving (Type an integer or a simplified fraction.)
Answers
Answer:
[tex]x=\dfrac{6}{7}[/tex]
Step-by-step explanation:
A serving of a frozen casserole is 1/6 of a pan.
Vicky is 1/7 of the pan
We need to find the fraction of a serving has Vicky eaten. Let he has eaten x. It means (1/6) of x is equal to (1/7).
ATQ,
[tex]\dfrac{1}{6}x=\dfrac{1}{7}\\\\x=\dfrac{6}{7}[/tex]
So, he has eaten (6/7) of a serving Vicky eaten.
Whats the Square root of 13?
Answers
Answer:
3.25
Step-by-step explanation:
Go 3.25 units of distance in any direction. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line.
You will have travelled along a square route whose total distance is 13 units. Alternatively you could have turned counter clockwise each time.
20 points question is in the pic pls hurry will also brainliest
Answers
Answer:
( 1 , 4 )
Step-by-step explanation:
This Is Where The Coordinates Of M Are IN the Graph. Hope This Helps! Please Rate Brainiest!
-Aslina
Graph the line with slope of 4/3
and goes through the point (1,3)
ANSWER THIS FAST!
Answers
Answer:
Step-by-step explanation:
y=4/3 x +b
goes through the point (1,3)
3=4/3(1)+b
b=3-4/3
b=9-4/3
b=5/3
equation : y=4/3 x +5/3
The graph of the line with slope of 4/3 and goes through the point (1,3) is shown in attached figure.
What is Equation of line?
The equation of line with slope m and passes through the point (x₁, y₁) is given as;
y - y₁ = m (x - x₁)
Given that;
The slope of line = 4/3
And, Point on line = (1, 3)
Since, The equation of line with slope m and passes through the point (x₁, y₁) is given as;
y - y₁ = m (x - x₁)
Thus, The equation of line with slope 4/3 and passes through the point (1, 3) is given as;
y - 3 = 4/3 (x - 1)
Solve as;
3 (y - 3) = 4 (x - 1)
3y - 9 = 4x - 4
3y = 4x - 4 + 9
3y = 4x + 5
y = 4/3x + 5/3
Thus, The equation of line will be;
y = 4/3x + 5/3
So, The graph of the line y = 4/3x + 5/3 is shown in attached figure.
Learn more about the equation of line visit:
https://brainly.com/question/13763238
#SPJ2
9. When graphing, what does the y intercept describe? *
The place where the line or curve crosses, or touches, the x axis
The place where a line or gurve crosses, or touches, the y axis
O I don't know.
Answers
Answer:
Every straight line can be represented by an equation: y = mx + b. ... The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Which is not a prime number? A. 31 B. 47 C. 49 D. 53
Answers
Answer:
49 is not a prime number
Step-by-step explanation:
7 times 7 = 49
Answer:
C) 49
Step-by-step explanation:
Prime numbers are numbers that can only be factored into 1 and it's own number.
In the case of 49, it is a composite number.
Factors of 49: 1 , 7 , 49
1 x 49 = 49
7 x 7 = 49
49 x 1 = 49
~
What is the difference between the function's values on Day 1?
0
35
70
105
Answers
help me please i need help
Answers
Um question there is no question so I cannot answer,,,
Answer:
i'll help you
Step-by-step explanation:
122212i3jewfc ndskja cyas queen
Do this for a brain thingy!!!!
1087^{2}-12(3)=
Answers
Answer:
1181533
Step-by-step explanation:
It's called brainliest.
You can use Math way for that btw.
Answer:
simplifying the expression
Step-by-step explanation:
1181533
what is 234 divided by 2 pls help me
Answers
Answer:
the answer 117
Step-by-step explanation:
The 234 divided by 2 is 117.
To calculate 234 divided by 2, we perform the division operation step by step.
Step 1: Divide 234 by 2.
234 ÷ 2 = 117
The result of 234 divided by 2 is 117. When you divide 234 by 2, you are essentially dividing 234 into two equal parts. Each part contains 117. This can be confirmed by performing the calculation:
234 ÷ 2 = 117
Therefore, 234 divided by 2 is 117. Division is the inverse operation of multiplication, and in this case, we find that 234 is evenly divisible by 2, resulting in a whole number quotient of 117.
To know more about divided:
https://brainly.com/question/15381501
#SPJ6
solve the equation. check your solution 6(5-2v)=-4(3v+1)
Answers
34-12v=-12v
34=0
no solution
Which number line shows the solution to 6 + (−6)? (1 point)
1.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 12 is shown.
2.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 0 is shown.
3.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to positive 6 is shown.
4.A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 12 is shown.
Answers
Answer:
a negative number plus a positive number when both numbers are the same like for example: -4 + 4. it would be 0. so -6 + 6 = 0
Step-by-step explanation:
6
0 ------------>
-6
0 <------------
Solve and check the following equation. −75 = −5d − 150d =
Answers
Answer:
15/31 is the answer.
Step-by-step explanation:
-75 = -5d- 150d
-5d- 150d= - 155d
divide -75 from -155d
-155d / -155= -75 / -155
=15 / 31
-75 = -155d
-75/-155 = d
15/31 = d
!!!!!!!!
how many moles is 264.06 grams of carbon dioxide?
Answers
Questions
1 point
Previous
Calculate the mean of Bryanna's test scores if she has scored 75, 97, and 92 so far this
semester
A 284
o
B
88
c. 75
D
Answers
Work Shown:
Add up the values
75+97+92 = 264
Then divide by 3 since there are 3 scores
264/3 = 88
You can write this all as one step
(75+97+92)/3 = 88
So in short, you add the scores and then divide by the number of scores.
A number is written with a base and an exponent. What is
another name for the exponent?
-rational number
-base
-exponent
-power
Answers
Answer:
power
Step-by-step explanation:
The another name for the exponent is power, the correct option is D.
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
Given;
A number is written with a base and an exponent
Now,
n exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself and exponent is also called index or power.
Therefore, the answer will be exponent.
Learn more about exponentiation here:
https://brainly.com/question/26938318
#SPJ6
Which describes the association between variables x and y ?
Answers
The plot has a positive slope and very close together pattern, so I would say a strong positive
Write two integers with different signs that have a sum of -25.
Write two integers with the same sign that have a sum of -25.
Answers
Answer:
1.
-25+0
-30+5
2.
-15-10
-20-5
Just solve for 50 points and brainliest!
10-5x3=
6x4+10=
Answers
Answer:
10-5x3=15
Step-by-step explanation:
6x4+10=34
Answer:
10-5x3= 15
6x4+10=34
Step-by-step explanation:
What are parallel lines cut by a transversal?
Answers
Solve the equation for z.
-8z + 1 = z-8
Answers
Answer:
z= 1
Step-by-step explanation:
move the like terms, collect then calculate, divide on both sides :)
Answer:
z equals -1
Step-by-step explanation:
-8z + 1 = z-8
-9z + 1 = -8
-9z + 9
-9z ÷ 9
z = -1
What is the discriminant of the quadratic equation 6x2
9x – 8 = 0?
-111
273
111
-273
Answers
Answer:
-111
Step-by-step explanation:
Yesterday the temperature at noon was 25.9°F. By midnight, it had decreased by
26°F. What was the temperature at midnight?
Answers
Answer:
-.1 degrees
Step-by-step explanation:
Answer:
- 0.1 Fahrenheit
Step-by-step explanation:
Its just 25.9- 26
10 Convert 485 mL into litres.
© 0.485 L
D 485 000 L
B 4.85 L
A 48.5 L
Answers
Answer:
c
Step-by-step explanation: