Both Table A and Table B in the question represent functions, as each x value corresponds to exactly one y value in both tables. The operation of replacing the graph of f(x) with f(x) + 4 results in a vertical shift of the graph 4 units upward.
The subject of the question involves interpreting the data sets presented in Table A and Table B and understanding the behavior of functions. According to the definition, a function is a mathematical relationship wherein each input (x) corresponds to exactly one output (y).
Now, let's determine which tables represent functions. Table A: each 'x' corresponds to exactly one 'y', so this represents a function.
For Table B, each 'x' also corresponds to exactly one 'y', so this also represents a function.
This means both Table A and Table B represent functions.
As for the second question, the operation of replacing the graph of f(x) with f(x) + 4 will result in the graph shifting 4 units upward. The vertical shift is a result of adding 4 to the entire function f(x).
Learn more about Functions and Graphs here:
https://brainly.com/question/40116062
#SPJ3
Two numbers are between 20 and 30. their greatest common factor is 4.Which two numbers could they be?
Find the coordinates of the midpoint of the segment whose endpoints are given . e(4,-4) , f (1,7)
14. For the equation 5x + 36 = x, which value could be a solution? A)–9 B) 5 C)9 D)–5
Two slices of Dans Famous pizza have 230 calories how many calories would you expect to be in 5 slices of the same pizza
The parent function of a graph is f(x) = x2. The graph shifts a units to the left and down b units. Which function models the transformed function?
A) y = x2 - a + b
B) y = (x - a)2 - b
C) y = (x + a)2 - b
D) y = (x - b)2 - a
Answer:
Option c
Step-by-step explanation:
A parent function is given by f(x) = x²
If the graph of the parent quadratic function is shifted a units to the left then new function will become
f'(x) = (x+a)²
Now the new function f'(n) is shifted b units down then the shifted function will be
f" (x) = (x + a)² - b
Therefore, Option c. is the answer.
The steps to do it. It says "solve for x. Each figure is a parallelogram. Show your work.
The value of x is 4.
To solve for x, we'll use the property of parallelograms that opposite angles are supplementary.
Given that one angle is [tex]\(140^\circ\)[/tex], we can set up the equation:
140 + 10x = 180
Now let's solve for x:
10x = 180 - 140
10x = 40
[tex]x = \frac{40}{10}[/tex]
x = 4
Therefore, the value of x is 4. Adjacent angles in a parallelogram are indeed supplementary.
please help me with my math homework??
The sum of the two numbers is 50 and their difference is 4 what are the two numbers
Can someone help me with this question?
Really need help with this GeoMETry qUIz
The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ. :
(picture attached)
According to the given information, segment UV is parallel to segment WZ while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are _____________ angles, they are congruent according to the ____________ Angles Postulate. Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality.
Which term accurately completes the proof?
1Same-side interior
2Corresponding
3Alternate interior
4Vertical
Find the absolute value and the opposite of the integer.
–989,006
does the set of numbers form a pythagorean triple explain 24 , 10 ,26
A car travels 95 miles on 5 gallons of gas. give the ratio of miles to gallons as a rate in miles per gallon.
11/12+(−7/12). Write your answer as a fraction in simplest form.
The result of the operation 11/12 + (-7/12) simplifies to 1/3, because the sum of the numerators is 4, and we keep the same denominator of 12, giving us 4/12. In simplest form, this fraction is 1/3.
Explanation:The question is asking us to perform an addition operation on two fractions. Specifically, we are asked to add 11/12 and -7/12. When adding or subtracting fractions, the most important thing is that they have the same denominator, which our fractions do. Here's how you perform the operation:
Add the numerators of the fractions: 11 + (-7) = 4.
You keep the same denominator: 12.
So, 11/12 + (-7/12) = 4/12.
To simplify this fraction, we find the greatest common divisor of 4 and 12, which is 4, and divide both the numerator and denominator by it. So, 4/12 simplifies to 1/3.
Learn more about Fraction Addition here:https://brainly.com/question/34291287
#SPJ2
In sakura's garden for every 5 red flowers, there are 10 yellow flowers. There are a total of 75 yellow and red flowers in her garden. How maNY red flowers are in sakura'sgarden?
Answer:
25 red flowers
Step-by-step explanation:
yeah
Find the GCF of the given polynomial.
16a⁴b⁴ + 32a³b⁵ - 48a²b⁶
A rectangle has a length of n units its width is 6 unit less its length what is the area of the rectangle
Answer:
Step-by-step explanation:
Find the least common multiple of 3,4,5,6,10,15
Suppose you drop a ball from a window 10 meters above the ground. The ball bounces to 80% of its previous height with each bounce. What is the total number of meters (rounded to the nearest tenth) the ball travels between the time it is dropped and the 10th bounce?
79.3 meters
73.2 meters
89.3 meters
77.5 meters
Pqr is a right angle. If pq=8 what is equivalent
If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 4, what is the equation of the new function?
A. g(x) =1/4 x2
B. g(x) = (1/4x)2
C. g(x) = 4x2
D. g(x) = (4x)2
Answer:
B is your answer
Step-by-step explanation:
g(x)=(1/4x)^2
A car travels 100 meters in 5 seconds. What is the speed of the car/7281023/14f0e74f?utm_source=registration
Rectangle EFGH is graphed on a coordinate plane with vertices at E(-3,5), F(6,2), G(4,-4), and H(-5,-1). Find the slopes of each side. What do you notice about the slopes of opposite sides? What do you notice about the slopes of adjacent sides?
The sum of 4 consecutive even integers is 36, what is the 3rd largest integer in the set?
The sum of four consecutive even integers that equal 36 is broken down to find the smallest integer. Once the smallest integer is found (6), we can determine that the third largest integer in the sequence is 8.
Explanation:To solve for the third largest integer in a set of four consecutive even integers that sum to 36, we can define the smallest integer as x. The next integers would be x + 2, x + 4, and x + 6. Setting up the equation:
x + (x + 2) + (x + 4) + (x + 6) = 36
Combining like terms, we get:
4x + 12 = 36
Subtracting 12 from both sides:
4x = 24
Dividing by 4:
x = 6
Now we have our integers: 6, 8, 10, 12. The third largest integer, which is the second smallest, is 8.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation. time (hours) 4, 6, 8, 10 distance (miles) 212, 318, 424, 530
Answer:
The car travels 53 miles per hour.
Step-by-step explanation:
time (hours) 4 6 8 10
distance (miles) 212 318 424 530
The rate of change can be given as:
[tex]\frac{318-212}{6-4}[/tex] = [tex]\frac{106}{2}[/tex] = 53 mph
[tex]\frac{424-318}{8-6}[/tex] = [tex]\frac{106}{2}[/tex] = 53 mph
Hence, the rate of change is 53 mph or we can say the car travels 53 miles per hour.
In a triangle, the measure of the first angle is three timesthree times the measure of the second angle. the measure of the third angle is 80 degrees80° more than the measure of the second angle. use the fact that the sum of the measures of the three angles of a triangle is 180degrees° to find the measure of each angle.
I made a clay snake 9 5/8 inches long, but a section 1 7/8 inches long broke off. How long is the snake now?
Brandon has 7/1/2gallon of paint. He plans on using 1/1/2 gallon on each room. How many rooms will he be able to paint.
-3(m-2n) = 5m
solve for m
Answer:
n=3n/4
Step-by-step explanation:
A local civic group is selling t-shirts to raise funds for Relay to Life. They plan to sell
2500 t-shirts for $10. They consider raising the t-shirt price in order to earn more
profit. For each $1 increase, they will sell 100 fewer t-shirts. Let x represent the
number of $1 increases.
a. Write a function,
Write a function, c(x), to represent the cost of one t-shirt based on the number
of increases.
b. Write a function, t(x), to represent the number of t-shirts sold based on the
number of increases.
c. Write a revenue function, r(x), for the t-shirt sell that could be used to maximize
a. Let us say that c(x) is the cost of one t shirt based on the number of increases therefore:
c = 10 + x
b. Say that t(x) is the number of t shirts sold based on the number of increases so:
t = 2500 – 100 x
b. The revenue is simply the product:
r(x) = (10 + x) (2500 – 100 x)
Combining:
r(x) = 25000 – 1000 x + 2500 x – 100 x^2
r(x) = 25000 + 1500 x – 100 x^2
Taking the 1st derivative and setting dr / dx = 0 to get the maxima:
dr / dx = 1500 – 200 x
1500 = 200 x
x = 7.5
t = 2500 – 100 x = 2500 – 100 (7.5) = 1750
Hence 1750 shirts should be sold.
What is the sum of the first five terms of the geometric series 3 − 6 + 12 − . . . ?
3,−6,12,−24,...
You can rewrite this as:
(−1)n3⋅(1,2,4,8,...)
If we focus on 1,2,4,8...
an+1=2an
with a0=1.
This can be written out as a nice sum:
N∑n=02n=20+21+22+23+...
=1+2+4+8+...
Thus, now we can recombine everything to get:
3N∑n=0(−1)n2n