Graph has been transformed from the graph of y = x³ by a horizontal shift of 4 units to the right then by a reflection over the x-axis, and 5 units upward of vertical shift.
What is a function?A function from a set X to a set Y assigns to each element of X exactly one element of Y.
The given function is y = -(x-4)³ + 5.
Let us use algebraic methods to understand the transformation of the graph of this function.
First, we can observe that the parent function is y = x³ has been transformed to y = -(x-4)³ by replacing x with (x-4).
This transformation gives a horizontal shift of the graph of 4 units to the right.
then negative sign in front of the function reflects the graph over the x-axis, resulting in an upside-down graph.
Finally, the entire graph is shifted vertically upward by 5 units, as observed by the constant term +5 in the equation.
Hence, the graph has been transformed from the graph of y = x³ by a horizontal shift of 4 units to the right then by a reflection over the x-axis, and 5 units upward of vertical shift.
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Write the sentence as an expression with a variable : 6 less than the quotient of 5 and a number
Answer:
6<(5/n)
Step-by-step explanation:
6 less than <
Quotient is the answer of division
Let "a number = n"
Quotient of 5 and a number is 5/n
2) Slope --1, y-intercept = 1
What is the solution to this system of equations?
Answer:
(-2,1)
Step-by-step explanation:
the blank is a aprt of the streen
ab/c=de make d the subject
Answer:
d
Step-by-step explanation:
Answer:
d = ab / ec
Step-by-step explanation:
ab / c = d x e
times both sides with c: ab = d x e x c
divide both sides with e x c: ab / ec = d
The trapezoid below has been enlarged by a scale of 1.5. What is the area of the enlarged trapezoid?
Answer:
New area by scale of 1.5 = 81 in²
Step-by-step explanation:
Given:
Current area = 36 in²
Find:
New area by scale of 1.5
Computation:
New area by scale of 1.5 = Current area x (scale factor)²
New area by scale of 1.5 = 36 x (1.5)²
New area by scale of 1.5 = 36 x (2.25)
New area by scale of 1.5 = 81 in²
Answer:
B.
Step-by-step explanation:
We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5.
We are asked to find the area of the enlarged trapezoid. The area of the original trapezoid is 36 square inches.
Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.
The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.
Therefore, the area of the enlarged trapezoid would be and option B is the correct choice.
ANSWER FAST PLEASE!! ILL GIVE BRAINLEST
What is the solution to the system of equations below?
Answer:
the solution is (-2,-5)
Step-by-step explanation:
please someone help on this
Answer:
1 solution
no solution
infinitely many
1 solution
Step-by-step explanation:
1. 2.3x-7=-7
2.3x=0
x=0
2. 3x=5+3x
0x=5
x=5/0
That’s undefined
3. 40-4x=4(10-x)
40-4x=40-4x
They both are equal no matter what. So, infinitrly many
4. -7+x=-(x+7)
-7+x=-x-7
2x=0
x=0
1 solution I.e 0
Answer: 1- One solution
2- No solution
3- Infinite
4- one solution
Step-by-step explanation: Hope this helps. pls mark me brainliest. :)
Oscar draws two lines on his paper. The lines are always one inch apart and do not intersect. Which term can be used to name what Oscar drew?
Answer:
Parralel lines
30 = y - 2
and work plzzz
Answer:
Step-by-step explanation:
y - 2 = 30
y = 32
Help pls, answer choices listed also
Answer:
A.
Step-by-step explanation:
Hi there!
By factoring the trinomial, we end with (x-9)(x-4)
However, we aren’t done yet. To find the zeros, set each expression equal to zero, so it looks something like this.
0 = x - 9
0 = x - 4
Using orders of operations, x = 9 and x = 4
Therefore, A is your answer.
I hope this helps!
Your cousin borrows $1125 to repair her car. The simple annual interest rate is 10%. She makes equal monthly payments of $25. How many years will it take to pay off the loan?
Answer:
26 months i believe is correct :)
Step-by-step explanation:
The number of years it will take to pay off the loan will be 4.125 years based on simple interest.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
As per the given,
Total loan = $1125
Rate of interest R = 10%
Monthly payment = $25
Yearly payment = 25 x 12 =$300
Suppose it takes T years,
Total amount A = principle P + interest
A = 1125 + 10% of 1125
A = 1125 + 0.10 x 1125
A = $1237.5
The number of years it will take will be as follows,
Total amount / yearly payment
⇒ 1237.5/300
⇒ 4.125 years.
Hence"The number of years it will take to pay off the loan will be 4.125 years based on simple interest".
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What is the solution to the system?
PLEASE HURRY WHATS THE ANSWER
Complete the steps to solve the equation -13x - 15 = -93.
Answer:
x = 6
Step-by-step explanation:
-13x - 15 = -93
-13x = -78
x = 6
If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.
0.74 units
1.17 units
1.64 units
2.14 units
Answer:
1.17
Step-by-step explanation:
(MUCH BETTER!)
From the definition of the sin of an angle, you know:
sin(45°) = AC/AB = 4/AB ⇒ AB = 4/sin(45°) ≈ 5.6569
sin(63°) = AC/AD = 4/AD ⇒ AD = 4/sin(63°) ≈ 4.4893
Then the difference AB-AD is:
AB -AD = 5.6569 -4.4893 = 1.1676
AB -AD ≈ 1.17 units
Sorry this took me so long to answer!
PLS HELP Use a trigonometric ratio to find the value of x.
write 34 as a product of its prime factors. PLEASE HELP I NEED TO TURN IT IN IN % MINUTES
Answer: Down below
Step-by-step explanation: First of all, as 34 is an even number, so it must be divisible by smallest prime 2.
Thus, 2 must be a factor of 34.
Now, look for number obtained on dividing 34 by 2 i.e.
34÷2=17.
So, 17 is our new number.
Now, look for factors/divisors of 17, which are precisely 1 and 17 i.e. 17 is itself a prime.
This implies only factors possible for 34 are 2 and 17.
Thus ,34 can be written as product of prime numbers 2 and 17 as 34=2×17.
Key idea. Given any number, divide it by smallest divisible prime and look for the number obtained on division.
Now, repeat the process for the number obtained.
If no division by a smaller prime than that number is possible, then our number is itself a prime.
Answer:
2(17)
Step-by-step explanation:
WHat is this answer: s=18n-360 ?
Answer:
n = s/18 + 20
Step-by-step explanation:
I will give brainliest!!!
Translate triangle ABC 2 units left and 3 units up.
What are the coordinates for point A'?
(-5,3)
(-4, 4)
(-4,-2)
(0,4)
Answer:
(-4,4)
Step-by-step explanation:
45 is ________% of 300
Answer:
15
Step-by-step explanation:
100/300=.3333333
.33333x45=15
Mr. Jones' class counted 500 birds on their field trip last week. The following pie graph shows the different bird species and numbers in the park. Use the information to answer the questions. Ducks 60 Eagles BO Pigeons 90 Parrots 30% Sparrows 120 Bird Species
Answer:
the answers for those are number 4 is 150 and 5 is 16%
Step-by-step explanation:
number 4 500 x 30= 15,000
15,000 ÷ 100= 150
number 5 80 x 100=8,000
8,000÷ 500= 16 so 16%
Answer:
150 and 120
Step-by-step explanation:
30% of 500 is 150
80% of 150 is 120
HELP PLEASEE!!!
What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?
A. y = x2 – 2x – 3
B. y = x2 + 3x + 2
C. y = x2 – 3x + 2
D. y = x2 + 2x – 3
Answer:
A. y = x² – 2x – 3Step-by-step explanation:
The given points are zero's or roots of the function.
We can put the equation as:
y = (x + 1)(x - 3) = x² -3x + x - 3 = x² - 2x - 3This is option A
Can someone help and please make sure the answer is right! :)
Answer:
x= 8
Step-by-step explanation:
srry i need the points so i can finish my work so i can go to sleep
MATH HELP PLZ! MAKRING BRAINLIST
Answer:
60 ML is you answer please mark me as brainllest
Step-by-step explanation:
1
Find the value of x.
Answer:
ask a tutor
Step-by-step explanation:
I need to know plz for math
What is Lcm of 30 and 40
Answer:
10
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
30 = 2 x 3 x 5
40 = [tex]2^{3}[/tex] × 5
-----------------------------
LCM = 2³x3x5
=120
PLEASE HELP ASAP! ITS DUE SOON, ILL GIVE BRAINLIEST PLEASE EXPLAIN YOUR ANSWER
Answer:
The answer is A!
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Your answer would be 189
Step-by-step explanation:
if you break the figure in to smaller parts you get for the two triangles 12*9/2. There are two of them, so that gets you 12*9/2+12*9/2, and all that equals 108. Finally, there is one more square in the middle, which equals 81, so 108+81=189, which is your answer.
FREE BRAINLIEST!! ill also answer questions that you have posted if you answer correctly!!!!
The Park family was traveling to Disney World on vacation. They drove 487.5 miles in 7.5 hours. At this rate, how many miles did the Park family drive per
hour?
They drove 65 miles per hour