3.) Write the equation of a quadratic function that is shifted down 4 and horizontally compressed by 1/5
Answers
Answer:
[tex]5x^2 - 4[/tex]
Step-by-step explanation:
For shifted down a function you have to follow the next structured:
[tex]f(x) - c[/tex]
In our case is:
[tex]x^2 - 4[/tex]
Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:
[tex]f(cx)[/tex]
In our case is:
[tex]5x^2[/tex]
Maybe you can think, why 5 and not [tex]\frac{1}{5}[/tex] instead?. Well, when you multiply by [tex]\frac{1}{5}[/tex] this dilate or stretch the graft because the output of each value is smaller, example:
[tex]f(x) = x^2\\g(x) = \frac{1}{5} x^2[/tex]
Then evaluate for a number, for example 5:
[tex]f(5) = 25\\g(5) = 5[/tex]
the output of [tex]g(x)[/tex] is 5 steps a far from the answer of [tex]f(x)[/tex] this in a graph is illustrate as a stretching.
So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".
So combine the two transformation and get [tex]5x^2 - 4[/tex]
Related Questions
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Answers
The area of the pool is the amount of space it occupies
The expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and [tex]\mathbf{P = 4x +30}[/tex], respectively
Let the dimension of the pool be x and y, where x represents width and y represents length.
So, the relationship between the width and the length is given as:
[tex]\mathbf{y = 15 + x}[/tex]
The area of the pool would be:
[tex]\mathbf{A = xy}[/tex]
Substitute 15 + x for y
[tex]\mathbf{A = x(15 + x)}[/tex]
Open bracket
[tex]\mathbf{A = 15x + x^2}[/tex]
And the perimeter of the pool would be
[tex]\mathbf{P = 2(x + y)}[/tex]
Substitute 15 + x for y
[tex]\mathbf{P = 2(x +15 + x)}[/tex]
[tex]\mathbf{P = 2(2x +15)}[/tex]
Open brackets
[tex]\mathbf{P = 4x +30}[/tex]
Hence, the expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and [tex]\mathbf{P = 4x +30}[/tex], respectively
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20. True or False
When you multiply or divide
by a negative number, you
flip the sign
Answers
Answer:
That is true
You must flip the sign when you are multiplying or dividing by a negative number
Trey has bought 10 pounds of dog food. He feeds his dog
pounds for each meal. For how many meals will the food last?
Write your answer in simplest form
Answers
how many pounds does he feed his dogs for each meal?
PLEASE HELP PLEASEEE
Answers
Answer:
pointts Step-by-step explanation:
u
Answer:
d
Step-by-step explanation:
Review
Directions: What does each of the following mean? Write out in words and phrases.
Example: 7 - 12 means: seven minus twelve
1. 11 + t
2. 7rst
3. t - 17
4. (10)(n)
5. 15 * y
6. 4x
7. a + b
8. 14x + 3y
Answers
Answer:
1. Eleven plus t
2. 7 times r times s time t
3. t minus seven
4. ten times n
5. fifteen times y
6. four times x
7. a plus b
8. fourteen times x plus 3 times y
Step-by-step explanation:
Hope this helps!
Answer:
1, eleven plus t
2, seven rst
3,t-17
........................
What is the sum of 4 of the interior angles of a regular octagon?
Answers
Answer:
540°
Step-by-step explanation:
inter angle vertex = 135°
135 + 135 + 135 + 135 = 540°
NO LINKS!!!!
Consider the following sequence 4, 8, . . .
a. Assuming the sequence is arithmetic:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence.
b. Assuming the sequence is geometric:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence
Answers
9514 1404 393
Answer:
a. 12, 16, 20, 24; t(n)=4n
b. 16, 32, 64, 128; t(n)=2·2^n
Step-by-step explanation:
a. The difference of the given terms is 8-4=4, so the arithmetic sequence has a first term of 4 and a common difference of 4. The general term has the formula ...
t(n) = t(1) +d(n -1)
t(n) = 4 +4(n -1) . . . . . with t(1) and d filled in
t(n) = 4n . . . . . . . . . . simplified
This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...
t(3) = 12; t(4) =16; t(5) = 20, t(6) = 24
A table and graph are shown in the first attachment.
__
b. The ratio of the given terms is 8/4 = 2, so the geometric sequence has a first term of 4 and a common ratio of 2. The general term has the formula ...
t(n) = t(1)·r^(n-1)
t(n) = 4·2^(n-1) . . . . . . . with t(1) and r filled in
t(n) = 2·2^n . . . . . . . . simplified
This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...
t(3) = 16; t(4) = 32; t(5) = 64; t(6) = 128
A table and graph are shown in the second attachment.
Help on this fast?? Thank you
Answers
Answer:
The answer is 17.5 dollars an hour, if you were to divide 70 by 4 that is what you would get as a result.
Step-by-step explanation:
On a cold February morning, the temperature of the radiator fluid in Stanley’s car is Negative 18 degrees Fahrenheit. When the engine is running, the temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. Approximately how long will it take before the radiator fluid temperature reaches 60 degrees Fahrenheit? (HELPP)
Answers
It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the temperature in Fahrenheit of the radiator after t minutes.
Stanley’s car is Negative 18 degrees Fahrenheit. Hence b = -18. The temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. hence m = 5.4. The equation becomes:
y = 5.4x - 18
For the radiator fluid temperature to reach 60 degrees Fahrenheit:
60 = 5.4x - 18
5.4x = 78
x = 14.4 minutes
It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit
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100 points if you answer - if it's correct ill give brainliest
(01.04 MC)The elevation of city A is 60 feet above sea level; the elevation of city C is 12 feet above sea level. The elevation of city D is 1 over 2 of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)
Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
Answers
Answer & Step-by-step explanation:
A = 60 ft
C = 12
D = 1/2 of C
1/2 of 12 = 6
Part A:
e = 6ft
Part B:
It's positive because it is above sea level
Answer:
Step-by-step explanation:
gg I got the points
The perimeter of a rectangle is represented by the expression 12x-2812x−28. The length of the rectangle is represented by the expression 2x+102x+10. Which expression represents the width of the rectangle?
Answers
Answer:
339,006 that's the answer
A bag of marbles consists of 14 blue marbles and 7 red marbles. If you reach into the bag and choose 2 marbles,
what is the probability that they are both blue? Assume the first marble is not replaced.
Answers
Answer:
chances are 10.5
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 52.5 miles to km.
PLEASE HELP NO TIME FOR LINK!!!
Answers
Answer:
Step-by-step explanation:
52.5 mi(8 km/5mi) = 84 km
write a linear function for the data in each table
Answers
Answer:
19. y=5x+-1
20. y=-2.5x+4
Step-by-step explanation:
19: 9-4=5
-1+5=4 so m=5
b=-1
so y=5x+-1
20: -1-1.5=-2.5
4+-2.5=1.5
so m=-2.5
b=4
so y= -2.5x+4
Please mark me brainliest
Ernie deposits $9,800 into a pension fund. The fund pays a simple interest rate of 7%. What will the balance be after four years?
Answers
Answer:
$12,845.80
Step-by-step explanation:
take the first number and go +7%. repeat four times
hope this helps :-)
HELP ME OUT PLEASE!!!!!!!
Which equation could represent the relationship shown in the scatter plot?
A) y = -3x - 2
B) y = 9x - 1/2
C) y = -3/4x + 10
D) y = -2/3x + 1
Answers
Answer:
option C is correct.
according to me..
hope it helpful for you.
megan feeds her dog 1/2 cup of food each morning and each evening. how much food does she feed him in a 7 day week
Answers
Answer:
7 cups
Step-by-step explanation:
1/2 * 2 times per day * 7 days per week = 7
A restaurant has total of 60 tables . Of those tables , 38 are round and 13 are located by the window . There are 6 round tables by the window . If tables are randomly assigned to customers , what is the probability that a customer will be seated at a round table or by the window
Answers
Answer:
The probability that a costumer will be seated at a round table are 44/60 and the probability that he will be seated by the window is 13/60
The probability that a customer will be seated at a round table is [tex]\frac{19}{30}[/tex] and by the window is [tex]\frac{13}{60}[/tex].
What is Probability ?Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment.
Probability [tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]
We have,
Total number of tables [tex]=60[/tex]
Number of round tables [tex]=38[/tex]
Number of tables located by the window [tex]=13[/tex]
Number of round tables located by the window [tex]=6[/tex]
Now,
Number of possible outcomes customer will be seated at a round table [tex]=38[/tex]
So,
Probability of seated at a round table [tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]
[tex]=\frac{38}{60}=\frac{19}{30}[/tex]
Now,
Number of possible outcomes customer will be seated by the window [tex]=13[/tex]
Probability of seated by the window[tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]
[tex]=\frac{13}{60}[/tex]
So, probability that a customer will be seated at a round table is [tex]\frac{19}{30}[/tex] and by the window is [tex]\frac{13}{60}[/tex].
Hence, we can say that the probability that a customer will be seated at a round table is [tex]\frac{19}{30}[/tex] and by the window is [tex]\frac{13}{60}[/tex].
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Bạn dự định đi học thêm vào mùa hè này. Nếu đi học bạn sẽ không thể đi làm với thu nhập là 5 triệu đồng và không thể ở nhà nghỉ ngơi. Học phí là 2 triệu, tiền mua giáo trình 300 ngàn, sinh hoạt phí là 1.5 triệu. Hãy xác định chi phí cơ hội của việc đi học thêm vào mùa hè này.
Answers
Answer:
4 better inbox
Step-by-step explanation:
whoever answers ets brainliest, 5 stars, and a thanks. pls help asap!
evaluate: (5/6 + 2/3) - (3/4 + 1/12)
answer as a fraction in simplest form
Answers
Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?
Solution:-
Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]
Take the LCM of denominator 3 and 6 is 6.
Again take the LCM of denominator 4 and 12 is 12.
so,
⟼ [(5+4)/6 - (9+1)/12]
⟼ [9/6 - 10/12]
Now, take the LCM of the denominator 9 and 12 is 36.
⟼ [(54-30)/36]
Now, reduce the fraction by extracting and cancaling out with 2.
⟼ [24÷2/36÷2]
⟼ 12/18
⟼ 6÷3/9÷3
⟼ 2/3
Answer↓
Therefore, Evaluated form is 2/3.
Read more:
Similar questions
Question 1 Evaluate (5 + 2)2 − 40 + 3 6 11 12 34 -------------------------------------------------------------------------------- Question 2 Evaluate 7 + 52 • 4...
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Jeremy flew 8 times last week for work. If each flight was 2 hours long, how much time did Jeremy spend in the air?
Answers
The number of hours Jeremy spent in the air is 16 hours.
How to find the number of hours he spend in the air?He flew 8 times last week for work.
Each flight was two hours long.
Therefore, each flight, he spends two hours in the air.
Now he took this two hours flight for 8 times.
Therefore, the number of hours he spend in the air can be calculated as follows:
number of hours spent in the air = 8 × 2
number of hours spent in the air = 16 hours
Therefore, he spent 16 hours in the air.
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Which mixed number is represented by the shaded
area?
0 1 1/4
0 1 3/4
0 2 1/4
0 2 3/4
Hurry up plz I’m being timed
Answers
Explanation: count all the orange boxes, the one is completely full which is all orange which is 1 and then there’s only 1 box filled on the second one
Hope this helps!
the answer to the question is 11/4
ITS 100 POINTS!!!! AND DO IT IN A STEP BY STEP EXPLAINATION.
A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered pair (5, 2) is on the graphed line.
Part A: What is the price of 1 pound of cabbage? Show your work. (8 points)
Part B: What does the ordered pair (10, 4) on the graph represent? Explain in words. (2 points)
Answers
Answer:
part a: If x represents the number of pounds of cabbage and y represents the price in dollars, then (5, 2) means that 5 pounds of cabbage costs $2.00. If that is true, then 1 pound of cabbage will cost $0.40. (divide both values by 5)
The ordered pair (10, 4) means that 10 pounds of cabbage cost $4.00.
explanation: sorry its late but hope it helps
The image of (-6,6) after a dilation by a scale factor of 5 centered at the
а
Answers
Explanation:
Dilation centered at the origin multiplies each coordinate by the dilation factor.
image= 4(6,-6)
image= (24,-24)
The picture below shows the graph of which inequality?
Answers
Answer A is correct.
Step-by-step explanation:
Negative one is less than one.
Is the slope y=4/3x+2
(Just double checking) :)
(For linear equations)
Answers
Answer:
Yes it is 4/3
Step-by-step explanation:
For a given two-digit number, the second digit is 2 more than 5 times the
first digit. Also, 5 times the first digit is 3 more than the second digit. Find
the two-digit number.
Answers
Answer:
no solution
Step-by-step explanation:
U=5t+2
5t=u+3
5t=5t+5
t=t+1
0=1
No solution
Simplify the expression, ((p^(-2)+1/p)^1 )^p, when p=3/4, in both radical and rational exponents forms.
Radical form: Rational exponent form:
this question requires two answers please
Answers
Answer:
(1/27)252^(3/4)(1/27)fourth root(252^3)Step-by-step explanation:
The exponent of 1 can be ignored. This means we're simplifying ...
[tex]\left(\left(\dfrac{3}{4}\right)^{-2}+\dfrac{1}{\left(\dfrac{3}{4}\right)}\right)^{3/4}=\left(\dfrac{16}{9}+\dfrac{4}{3}\right)^{3/4}=\left(\dfrac{28}{9}\right)^{3/4}\\\\=\left(\dfrac{28\cdot9}{3^4}\right)^{3/4}=\boxed{\dfrac{252^{3/4}}{27}}\qquad\text{rational exponent form}\\\\=\boxed{\dfrac{\sqrt[4]{252^3}}{27}=\dfrac{\sqrt[4]{16003008}}{27}}\qquad\text{radical form}[/tex]
Sebastian is 3 years older than twice Amy's age. Sebastian is 33 years old. How old is Amy?
Answers
Answer:
15 years old
Step-by-step explanation:
You would have to create a equation. 2x+3=33, 2x=30, x=15.
Sebastian is 33 so subtract 3 for the three years older part. Then divide that 30 by 2
33-3= 30. 30/2=15
Therefore amy is 15
calculate the interquartile range of 45 47 48 49 50 51 52 53 60
Answers
Answer:
48
I hope it helps.