Answer:
A f3(x)=f2(f1(x))=1.2x+2
Step-by-step explanation:
The "F1" key is to perform a 20% enlargement in both dimensions. So, first the function F1 increases the dimension x by 20%. That is, our new dimension x' is now the initial dimension plus the increase. The initial dimension is x and the increase is 20% of x = 0.2x. So, x' = x + 0.2x = 1.2x. So, F1(x) = x' = 1.2x
Then, the "F2" key is to increase the picture size by 2cm in both dimensions. So, the function F2 works on x' and add 2 cm to it. So, our new dimension is thus x" = x' + 2.
So F2(x') = x" = x' + 2 = F1(x) + 2
F2(F1(x)) = x' + 2 = 1.2x + 2
F3(x) = F2(F1(x)) = 1.2x + 2
F3(x) = 1.2x + 2.
So, the equivalent function for a picture x cm by x cm is F3(x) = F2(F1(x)) = 1.2x + 2.
Which is a solution of 2(t-1)+3t<2?
t < 0.8
t ∈ ( - oo ; 0.8 )
Step-by-step explanation:Hi there !
2(t - 1) + 3t < 2
2t - 2 + 3t < 2
5t < 2 + 2
5t < 4
t < 4/5
t < 0.8
t ∈ ( - oo ; 0.8 )
Good luck !
Sammi had 19 marbles and bob gave him 1/7 of his marbles now Sammi has 27 how many marbles did bob have originally?
pls help
Answer:
56
Step-by-step explanation:
27 - 19 = 8
8 x 7 = 56
Bill cut out 6 squares and 8 circles . He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?
Answer:
2 groups
Step-by-step explanation
To find out how many groups can be made for 6 circles and 8 squares, start by finding what you can divide by both numbers.
6 can be divided by: 8 can be divided by:
1 1
2 2
3 4
6 8
The greatest number that they both have in common is 2. There would be 3 circles and 4 squares if Bill divided into 2 groups.
I hope this helped. Let me know if you still have any questions!
Consider the graph of the sixth degree polynomial f. Replace the values b, c and d to write function f.
f(x) = (x-b)(x-c)^2(x-d)^3
Answer:
f(x) = (x - 2)(x + 1)²(x - 4)³
Step-by-step explanation:
Multiplicity of a polynomial:
1). If the multiplicity is odd, the graph will cross the x-axis at that zero.
2). If the multiplicity is even, the graph will touch the x-axis at that zero.
Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.
Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.
So, the function will be,
f(x) = (x - 2)(x + 1)²(x - 4)³
Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3
Step-by-step explanation:
3/2 x -9 = 0 hiiiiiiiii please help :)
Answer:
x=6
Step-by-step explanation:
3/2x-9+9=0+9
3/2x=9
2. 3/2x=9. 2
3x=18
3x/3=18/3
x=6
Answer:
Hewo There!!
_______________________
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 6
______________________
“How wonderful it is that nobody need wait a single moment before starting to improve the world.” – Anne Frank
______________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
What is the index in the expression
2
2?
Answer:
2
Step-by-step explanation:
If the domain of a relation is all whole numbers between 2.5 and 7.5, and the range contains 6 different values, can you determine whether the relation is a function? Explain your reasoning. Choose the correct answer below. A. The domain has more values than the range, so at least one range value is mapped to by more than one domain value. The relation is not a function. B. The domain has fewer values than the range, so there must be a domain value which maps to more than one range value. The relation is not a function. C. The domain has as many values as the range, but it cannot be determined whether the relation is a function with only the given information. D. The domain has as many values as the range, so each domain value maps to only one range value. The relation is a function.
Answer:
This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
Step-by-step explanation:
A relation is said to be a function if each and every element of the domain has a distinct value value in the range.
Domain of a relation is a set of all whole numbers between 2.5 and 7.5, and the range contains 6 different values.
Whole numbers between 2.5 and 7.5 are [tex]3,4,5,6,7[/tex]
This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
B. This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
As we know that:
A relation is said to be a function if each and every element of the domain has a distinct value value in the range.
It is given that Domain of a relation is a set of all whole numbers between 2.5 and 7.5, and the range contains 6 different values.
Now, whole numbers between 2.5 and 7.5 are:
[tex]3,4,5,6[/tex]
There are 4 numbers in the domain and 6 numbers in the range.
That is the elements in domain are less than the elements in the range.
Therefore, this relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
Hence the correct option is A.
Learn more:https://brainly.com/question/2264373
What is the solution to the inequality f+4<2
a.f<6
b.f<-2
c.f<2
d.f<-6
Step-by-step explanation:
option b is the correct answer
simplify 3x(4x-5)+3 and its value for X = 3
Answer:
Step-by-step explanation:
3x ( 4x - 5 ) + 3
12x^2 - 15x + 3
12 × 3^2 - 15 × 3 + 3
12 × 9 - 45 + 3
= 108 - 45 + 3
= 66
Hope this helps
plz mark as brainliest!!!!!!
Please help me solve this problem please
Answer:
x=11
Step-by-step explanation:
5x-6x-3=25-3x
5x+3x-6x=25-3
2x=22
x=11
[tex]80 = 6400 \div [/tex]
plssss I need help
I NEED HELP ASAP!!!
Question: Which equation applies the associative property of multiplication?
(-45) + (+3) =
A -42
B -40
C 40
Answer:
Step-by-step explanation:
-42
misty is driving on a scenic road trip, and the graph shows the number of hours traveled compared to the number of miles of the trip remaining. Use the graph below to the answer.
Write an equation of the graph in slope-intercept form.
A. y=-100/3x+450
B. y=100/3x-450
C. y=450x+100/3
Answer:
omg im finding the answer too i go to bcms i see the travid isd thing on ur tabs
Step-by-step explanation:
Answer:
Option A. y=-100/3x+450 is correct.
Step-by-step explanation:
HELP ME NOW PLEASSEEE
A number line going from 2 to 3 in increments of StartFraction 1 over 10 EndFraction. Point C is between 2.3 and 2.4, point B is between 2.5 and 2.6, point A is between 2.8 and 2.9, point D is at 3.
A koala bear is approximately 2 5/6
feet tall. Which point on the number line represents this value?
A
B
C
D
Answer:
its A
Step-by-step explanation:
I got it right on edg 2020!!!!
Answer:
A
Step-by-step explanation:
just did the assigment good luck <3
a plane flies at 500km/h. 720 km how long does it take to travel 720km?
Answer:
Step-by-step explanation:
Speed = 500km/h
Distance = 720km.
Time = ?
Use your formula:
Time = Distance / Speed
Time = 500/ 720 = 1.44 hours
Solve for y 2x+5y=10
Answer:
y=2/5x−2
Step-by-step explanation:
Write an equation of the line passing through point P(4,3) that is parallel to the line y = 12(x+4).
Answer:
y=12x-45
Step-by-step explanation:
First we want to get y=12(x+4) into Slope intercept form which is y=mx+b and we do that by multiplying 12 by x so we get 12x and multiplying 12 by 4 so we get 48.
Now we have:
y=12x+48
where the slope is 12.
Parallel lines have the same slope. so the line that goes through (4,3) will have the same slope.
Now that we have a slope and a point we want to write an equation in point-slope form: y-y1=m(x-x1)
Step 1 for this: y-3=12(x-4)
Step 2: we will distribute and solve for y so our answer is in slope intercept form.
Step 3: we now have the equation y-3=12x-48 after distributing now we add 3 to -3 so it cancels out and we add 3 to -48 and we get -45
Our answer is y=12x-45
Hope this helps!
plz help me its due soon :( im sad
Answer:
your answer should be 25 feet
Step-by-step explanation:
Answer:
why are you sad
Step-by-step explanation:
25 ft
Put the equation in the correct order
Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity
Answer:
The correct option is B.
Step-by-step explanation:
The inequality is: -2(3x - 1) < 8.
Solve for x as follows:
-2(3x - 1) < 8
-6x + 2 < 8
-6x < 6
-x < 1
x > -1
The solution for x is in the interval (-1, ∞].
The number line will be:
B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity
At what
interest rate
would Dalton have
to have to invest $3,600
to double his money in 10 years?
Answer: I think beetlejuice post the answer here look up jewtube
a line with a slope of 1 passes through the point (18,15). What is its equation in slope-intercept form?
Answer:
y=x-3
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
We already have the value of m=1, but need to find b. To do this, we use the given point (18,15) and substitute the coordinates into the equation:
y=mx+b
15=(1)(18)+b
We have used the value m=1. Operating:
15=18+b
Solving:
b=-3
Thus, the equation of the line in slope-intercept form is:
y=x-3
a cookie recipe calls for 1 2/3 cups of sugar. If you plan on changing the recipe to make 2 1/2 times as much, how many cups of sugar will you need?
Answer:
4 1/6
Step-by-step explanation:
2 1/2 times 1 2/3 change those numbers into an improper fraction which are 5/2 for 2 1/2 and 5/3 for 1 2/3 multiply 5/2 and 5/3 you get 25/6 change the 25/6 into a mixed number and you get 4 1/6
help mehhhhhhhhhhhhhhhhhhhhhhh ;(
Answer:
180 minutes in 3 hours 225 miles in 3 hours
Step-by-step explanation:
What is the value of y
can someone help me
Answer:
B
Step-by-step explanation:
Cuz the other would be a straight line
Select the table that represents a linear function. (Graph them if necessary.)
10. -4x + 7 = 15; -2 and tell whether the given number is a solution of each equation
Answer:
[tex]x = - \frac{3}{2} [/tex]
Step-by-step explanation:
-4x+7=15-2
subtract number 15-2
-4x+7=13
-4x=13-7
-4x=6
divide
x=-3 over 2
What is the midpoint between (5,1) and (-1,4)
Answer:
2, [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given parameters:
Coordinates = (5,1) and (-1,4)
Unknown:
The midpoint = ?
Solution:
To find the midpoint of these endpoints;
this can be mathematically expressed as;
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1}+y_{2} }{2}[/tex]
From the given coordinates;
x₁ = 5 y₁ = 1
x₂ = -1 y₂ = 4
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{5+(-1)}{2}[/tex] , [tex]\frac{1 + 4}{2}[/tex] = 2, [tex]\frac{5}{2}[/tex]