g(x)=3/4f(x) graphed
Answers
The function g(x) is a dilated form of f(x) and the dilation scale factor [K] in this case is (3/4). The graphs f(x) and g(x) are attached with the answer.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is the following equation-
g(x) = 3/4 f(x)
Since, the functions are not given, we will assume them by ourselves. You can use the same procedure for any pair of functions of the form -g(x) = n f(x)
Assume that -
f(x) = 2x + 1
Now -
g(x) = (3/4) f(x)
g(x) = (3/4)(2x + 1)
g(x) = (3/2)x + 3/4
Now, both the graphs f(x) and g(x) are attached below. In general, g(x) is a dilated form of f(x) and the dilation scale factor [K] in this case is (3/4).
Therefore, the function g(x) is a dilated form of f(x) and the dilation scale factor [K] in this case is (3/4). The graphs f(x) and g(x) are attached with the answer.
To solve more questions on straight line, visit the link below-
https://brainly.com/question/27730503
#SPJ1
Related Questions
Is x = 6 a solution to the equation 5(x - 3) = x + 13?Follow the steps to find out.1. Rewrite the equation 5(x - 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true.Write your answer in the space below. 2. Simplify both sides. Show your work.Write your answer in the space below.3. Is x = 6 a solution to the equation? Why or why not? Write your answer in the space below.4. Find a value of x that is a solution to 5(x-3) = x + 13.Write your answer in the space below.
Answers
The given equation is
5(x - 3) = x + 13
We want to test if x = 6 is a solution. We would substitute x = 6 into the equation. We have
5(6 - 3) = 6 + 13?
5(3) = 6 + 13?
15 = 19?
Since both sides of the equation is not equal, then
x = 6 is not a solution of the equation
Geometry homework
Please help me figure this out
Answers
According to the solving the space between Arthur and Jamie are 39.1 meters.
What is a coordinate system?A coordinate system is a method for determining how to place points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.
how to locate Distance between two points?The length of the line segment bridging two locations in a plane is known as the distance between them. d=√((x2 – x1)² + (y2 – y1)²). is a typical formula for determining the separation between two places. Any two sites on an x-y plane or coordinate plane can have their distance between them calculated using this equation.
According to the given data:location of Arthur is (20, 30)
location of Jamie is (45, 60)
Let's apply the rule of distance to determine how far away they are because we know that :
d = √((X₂ - X₁)² + (Y₂ - Y₁)²)
let substituting the value we get:
d = √((X₂ - X₁)² + (Y₂ - Y₁)²)
d = √((45 - 20)² + (60 - 30)²)
= √(25)² + (30)²)
= 39.1
According to the solving the space between Arthur and Jamie are 39.1 meters.
To know more about coordinate system visit:
https://brainly.com/question/4726772
#SPJ13
4/x-2 + 3/x-3 = 5
X=
X=
Note: the answers have to be either integers or decimals
Answers
Answer:
x = 4 , x = 2.4
Step-by-step explanation:
[tex]\frac{4}{x-2}[/tex] + [tex]\frac{3}{x-3}[/tex] = 5
multiply through by (x - 2)(x - 3)
4(x - 3) + 3(x - 2) = 5(x - 2)(x - 3)
4x - 12 + 3x - 6 = 5(x² - 5x + 6)
7x - 18 = 5x² - 25x + 30 ( subtract 7x - 18 from both sides )
0 = 5x² - 32x + 48
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × 48 = 240 and sum = - 32
the factors are - 20 and - 12
use these factors to split the x- term
0 = 5x² - 20x - 12x + 48 ( factor the first/second and third/fourth terms )
0 = 5x(x - 4) - 12(x - 4) ← factor out (x - 4) from each term
0 = (x - 4)(5x - 12)
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
5x - 12 = 0 ⇒ 5x = 12 ⇒ x = 2.4
Phindi is an athlete . as part of her training, she runs around the outside of a circular track that has a radius of 88m. as part of her training, she has to run 12kmon the track. how many circuits of the track will she have to run?
Answers
It takes Phindi to run almost 22 tracks to cover 12kms
Given that,
First you have to figure out the length of the track whihc is circumference of circle ,
r is the radius of circular track which is 88m
The athlete has to run 12km on the track
Circumference of circle = 2πr
Solving circumference will give length of the circular track which is,
Circumference of circle = 2(3.14)(88)
=552.6 meters
If she covers 552.6 m whe runs one circular track then,
1 circular track -------- 552.6 meters
? circular track -------- 12000 meters or 12 kilometers
No of circular tracks = 12000/552.6 = 21.7 tracks
Therefore, It takes Phindi to run almost 22 tracks to cover 12kms
To learn more Circumference about click here :
brainly.com/question/17009561
#SPJ4
What is the geometric definition of this angle?
Answers
Answer: It is obtuse
Step-by-step explanation: the angle looks greater than 90 degrees :)
(Theoretical Probability LC)
When given a set of cards laying face down that spell M, A, T, H, I, S, F, U, N, determine the probability of randomly drawing a consonant.
Answers
The probability of drawing a consonant from the given set of cards is 0.66.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The given letters are M, A, T, H, I, S, F, U and N.
Total number of letters are 9.
The number of vowels is 3.
Then, the number of consonants is 9 - 3 =6.
Now, the probability for choosing consonant is given as follows,
P(Consonant) = Number of Consonants ÷ Total letters
⇒ 6/9 = 0.66
Hence, the probability of randomly drawing a consonant is given as 0.66.
To know more about probability click on,
https://brainly.com/question/11234923
#SPJ2
Answer: 6/10 is answer
Step-by-step explanation:
Just trust please
f(n) = 3 to the power of n
f(-1) =
Answers
The answer to the function as provided that f(n) = 3 to the power of n can thus, solving the linear function as n for -1 we get the answer.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A statement, rule, or law that establishes a relationship between an independent variable and a dependent variable in mathematics (the dependent variable) is said as a function.
f[n]= [tex]3^n[/tex]
And find f(-1)
So put -1 in place of n
thus f[-1] = [tex]3^{-1[/tex]
=1/3
=0.33
In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
To know more about function, visit:
https://brainly.com/question/28028288
#SPJ13
Ashley is a software saleswoman. Her monthly salary is $2200 plus an additional $40 for every copy of math is fun she sells. Let S represent her total salary (In dollars), and let N represent the number of copies of math is fun she sells. Write an equation relating S to N and then graph your equation using the axes below
Answers
The equation of S in terms of N is S(N) = 2200 + 40N
How to determine the equation that relates S to NFrom the question, the given parameters are
Monthly salary = $2200
Additional earnings = $40 per copy of Math fun sold
The equation that relates S to N is then calculated as
Total = Monthly salary + Additional earnings x Number of copy of Math fun sold
Substitute the known values in the above equation
So, we have
S(N) = 2200 + 40N
So, the equation is S(N) = 2200 + 40N
See attachment for the graph
Read more about linear equations at
https://brainly.com/question/14323743
#SPJ1
Why do you think 900km is less than the perimeter of the of Bhutan (about 1075km)?
Answers
900km is less than the perimeter of the of Bhutan about 1075km.
Describe perimeter.The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. The surface of a shape's area is measured.
To learn more about perimeter from given link
https://brainly.com/question/19819849
#SPJ9
Solve the inequality.
3x+6<3(x-7)
Answers
Simplify both sides of the inequality.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6 < 3x-21 } \end{gathered}$} }[/tex]
Subtract 3x from both sides.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6-3x < 3x-21-3x } \end{gathered}$} }[/tex][tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{6 < -21 } \end{gathered}$} }[/tex]Subtract 6 from both sides.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{6-6 < -21-6 } \end{gathered}$} }[/tex][tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{0 < -27} \end{gathered}$} }[/tex]
There are no solutions.Standard form: x ∈ ∅Answer:
0 < - 27
Step-by-step explanation:
1. Distribute
3x + 6 < 3(x-7)
3x + 6 < 3x - 21
2. Subtract 6 from both sides
3x + 6 < 3x - 21
3x + 6 - 6 < 3x - 21 - 6
3. Simplify
subtract
3x + 6 - 6 < 3x - 21 - 6
3x < 3x - 21 - 6
subtract
3x < 3x - 21 - 6
3x < 3x - 27
4. Subtract 3x from both sides
3x < 3x - 27
3x - 3x < 3x - 27 - 3x
5. Simplify
combine like terms
3x - 3x < 3x - 27 - 3x
0 < 3x - 27 - 3x
0 < 3x - 27 - 3x
0 < - 27
And that is how you get your answer
Is this a function if so explain if not explain
Answers
are the following solutions to the equation y=1/3x-2?
Answers
Answer: y-intercept (0,−2) and the slope is 1/3
is m parallel to n if so state the theorem you can use
Answers
If two lines and a transversal form corresponding angles that are congruent (shown by the marks in the angles) then the lines are parallel. Thus m and n are parallel.
Which of the following is a solution to the equation
2x² + 4x = 3 + 3x²
Answers
Answer:
x = 1 or x =3
Step-by-step explanation:
2x² + 4x = 3 + 3x²
2x²-3x²+4x -3 = 0
-x² + 4x -3 = 0
by calculator:
x = 1 or x =3
Kaia's mom is having triplets. Each baby could be either male or female.Which outcome would be included in the compound event "at least twomales"?
Answers
MFM (option A)
Explanation:Outcome could be male or female
At least two male means the minimum of number of men that we would have in the sample space outcome is 2.
The outcome that satisfies this are:
MMM, MMF, MFM, FMM
From the above, the one in the options is MFM (option A)
Select the correct answer. A mistake was made in the steps shown to simplify the expression. Which step includes the mistake? 1 + 3 2 5 + | - 10 | ÷ 2 Step 1: = 1 + 3 2 5 + 10 ÷ 2 Step 2: = 1 + 9 5 + 10 ÷ 2 Step 3: = 10 5 + 10 ÷ 2 Step 4: = 2 + 10 ÷ 2 Step 5: = 12 ÷ 2 Step 6:
Answers
Answer:
step 1 is correct
Step-by-step explanation:
when you find the absolute value of a number i.e | | the result is always positive
eg |-20| = 20
step 1 is correct
(Geometry 1)
#14 please answer quickly❗️
Answers
X being the variable.
Question 3 options:
Premises:
If you have a cat, then it will chase mice.
You have a cat.
Conclusion:
Your cat will chase mice.
The Law of
Answers
The law of mathematical logic that was used to derive the given conclusion is; Law of Syllogism
What is the Law of Syllogism?The law of syllogism is defined as a type of logical argument using deductive reasoning.
Now, In mathematical logic, the Law of Syllogism states that if the following two statements are true:
(1) If d , then e .
(2) If e , then f .
Then we can derive a third true statement:
(3) If d , then f .
Now, applying that law to our question, we see that;
1) If you have a cat, then it will chase mice.
2) You have a cat.
Then we can derive a third true statement:
3) Your cat will chase mice.
Read more about Law of Syllogism at; https://brainly.com/question/28560796
#SPJ1
A glass bottle filled with oil weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle of oil weighs 400 grams.
Answers
Assuming the question is : How much does x liters/milimeters of oil weigh?
First, we calculate how much mass did the bottle of oil lose : 590 - 400 = 190 (grams)
Since it loses 190 grams after Sophia uses 200 milimeters of oil, 200 milimeters of oil weighs 190 grams (yes.)
-> 1 milimeter of oil weighs : 190/200 = 0.95(grams)
So, to calculate the mass of x *liters* of oil, we take 0,95 x 1000 times x.
For example : To calculate the mass of 22,5 liters of oil, we take 0,95 x 1000 x 22,5 = 21375 (g) or 21.35(kg).
can anyone help me with this
Answers
Step-by-step explanation:
Since area = 27cm²
area = 3 × (x + 4)
27 = 3(x + 4)
expand the right side
27 = 3x + 12
move 12 to the left side and subtract it with 27
15=3x
then divide both sides with 3
x=5
2x+3x+4x=180 what’s x
Answers
[tex](2x + 3x + 4x) = 180 \\ 9x = 18 \\ \frac{9x}{9} = \frac{180}{9} \\ x = 20[/tex]
ATTACHED IS THE SOLUTION with the steps.
x=20
Hope this helped!
Complete the tables of values for x+2y =7
Answers
(-2, 4 1/2) (-1, 4) (0, 3 1/2) (1, 3) (2, 2 1/2) (3, 2)
Step by step
First I put our equation into y intercept form
2y = -1x + 7
Divide both sides by 2 to isolate y
2/2 y = -1/2x + 7/2
y = -1/2x + 3 1/2
Now we fill in your chart
From this we see the y intercept is at 3 1/2, so at (0, 3 1/2) is our coordinate on the y axis.
Enter this on your chart at 0x.
From here, we see our slope or rate of change is - 1/2 for every x value. So moving to the right from 0
3 1/2 + -1/2 = 3, (1, 3)
3 + -1/2 = 2 1/2 (2, 2 1/2)
2 1/2 + -1/2= 2 (3, 2)
Moving left from 0
3 1/2 - -1/2 = 4 (-1, 4)
4 - -1/2 = 4 1/2 (-2, 4 1/2)
Now you can graph your points
I did a graph for you as an example in the attachment
Help me please will give brainlist
Answers
Answer:
1
5
Step-by-step explanation:
y = mx + b
b = -5 (the y-intercept)
m = 1/1 = 1
y = x - 5
Anna model airplane, the scale is 5 cm equals 2 m. If the models wingspan is 28.5 centimeters camera what is the actual wingspan?
Answers
Answer:
11.4 m
Step-by-step explanation:
2m / 5 cm * 28.5 cm = 11.4 m
Name:Unit 4: Congruent TrianglesHomework 4: Congruent TrianglesDate:Per:** This is a 2-page document! **1. Write three valid congruency statements given the triangles below.тHDa)b)MD-Wc)Directions: Given the congruency statement, list all congruent angles and sides,2. ΔΑΒΕ ΔΜΝΡ3. AQRY AJLSAnglesSidesAnglesSidesWrite another valid congruency statement:Write another valid congruency statement:4. Given ASTU AKLM, complete each of the following statements.Ua) TITd) MALIST
Answers
Firstly, congruent angles are equal
The three statements are
1. Triangle PTW = Triangle HGD
2. Triangle WPT = Triangle DHG
3. Triangle TWP = Triangle GDH
From the figures, it was observed that they are similar
When you look at the figures very well
You will observed that Triangle PTW is Similar to triangle HGD
They both have similar properties
Help help help help please Heldon 30 Points
Answers
Answer:Rotation then a translation
Step-by-step explanation: rotate 90 degrees clockwise around center J. Then translate 3 to the right, 2 down
34 is the product of gornan age and 2
Answers
Answer:
17 * 2= 34
therefore, 17 and 2 are the factors of 34
Step-by-step explanation:
If 3x - 14 + 3x +9 = 103 what does X equal?
Answers
Anwser is 18
I used a website
Answer: x = 18
Isolating a variable: rearranging the equation to make the variable on side of the equation and the others on the other side
1. Collect like terms
2. Inverse operations to isolate
3. simplify if necessary
Calculations:
[tex]3x -14 +3x +9= 103[/tex]
Collect like terms: [tex]6x -5 =103[/tex]
3x and 3x are alike and -14 +9 are alikeInverse operations:
[tex]6x = 103 +5[/tex]
[tex]6x= 108[/tex]
[tex]\frac{6x}{6}=\frac{108}{6}[/tex]
∴ [tex]x= 18[/tex]
Would you be able to help me on this question
Answers
a) From the exercise we can identify 3 unknowns from the 3 funds
• Large Growth = ,LG
,• Small Growth = ,SG
,• Large Value = ,LV
b)
[tex]\begin{gathered} LG+SG+LV=10,000\to(1) \\ LG=SG+2,000\to(2) \end{gathered}[/tex]if the base of a rectangle is 12cm and the area is 345 cm², what is the height of the rectangle
Answers
Answer: 28.75 cm
Step-by-step explanation:
Using the formula for the area of a rectangle, we can plug in our known values and solve for the height.
A = B * H
(345 cm²) = (12cm) * H
28.75 cm = H
Read more about solving for the height of a rectangle here: https://brainly.com/question/3086984