a) one unit up = Ix + 2I + 1
b) one unit down = Ix + 2I - 1
c) one unit to the left = Ix + 1I
d) one unit to the right = Ix + 3I
What is transformation on the graphs?Let the function f(x) and g(x) are two real functions.
And g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
The graph of y = |x+2| is a V-shaped graph centered at x = -2.
To translate this graph, we need to modify the equation to shift it up/down or left/right.
Here are the equations for each translation:
a) To shift the graph one unit up, we need to add 1 to the equation:
y = |x+2| + 1
b) To shift the graph one unit down, we need to subtract 1 from the equation:
y = |x+2| - 1
c) To shift the graph one unit to the left, we need to replace x with (x+1) in the equation (since moving left means decreasing x by 1):
y = |(x+1)+2|
Simplifying this gives:
y = |x+3|
d) To shift the graph one unit to the right, we need to replace x with (x-1) in the equation (since moving right means increasing x by 1):
y = |(x-1)+2|
Simplifying this gives:
y = |x+1|
Therefore, all the required values are given above.
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Find the difference using the correct number of significant digits.
32.020
– 4.1
Answer: the answer is 27.92
Step-by-step explanation: if you right it vertical and line the desimals you will get the answer
What is the value of B?
Answer:
61 degrees
Step-by-step explanation:
180-(58+61)=61
Please help! I’m soooooo confused
The number of purple T shirts that the Trenton's scouting group made is 15.
What is a Pie Chart?A pie chart is a type of graph where a circle is divided into certain sectors where each sector shows a proportion of the whole.
Given is a pie chart or circle graph.
This shows the number of different colored T shirts that the Trenton's scouting group made.
Total number of T shirts = 100
Total degree of a circle = 360°
The circle is divided in to various sections with each section of different degree.
Angle measure for the purple section = 54°
Proportion of purple T shirts to the full T shirts = 54 / 360
= 0.15
Number of purple T shirts in total of 100 T shirts = 0.15 × 100
= 15
Hence the number of purple T shirts made is 15.
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Please answer soon, thank you! Image is attached. Worth 30 points
Answer:
Initially, as x increases, y is constant.
Afterward, the slope of the graph of the function equals 2 for all x between x = 3 and x = 5.
The slope of the graph equals -1 for x between x = 5 and x = 9.
The greatest value of y is y = 4, and it occurs when x = 5.
Step-by-step explanation:
Initially, the graph of the function is flat. The quantity y remains constant as x increases from x = 0 to x = 3. The linear equation that corresponds to the function in that region is y = 0. The slope is m = 0 because the graph is a horizontal line. The graph of the function starts to increase starting at x = 3. The slope, rise/run, once we solve it, is equal to 2 for when x is between 3 and 5. After x = 5, y starts to decrease as x increases. The slope of the graph between x = 5 and x = 9 is -1. The maximum value of y occurs at the top of the bump in the graph. The coordinates of the top of the bump are (5,4). Therefore, the maximum value is y = 4, and it occurs when x = 5.
I hope this helps and please mark me as brainliest!
Rewrite each number sentence using numerals and symbols.
Add 7 and 6 and then add 9
Please help im so confused
Answer:
50% i think
Step-by-step explanation:
brainliest if it is right
Answer:
The answer is 192.33
Step-by-step explanation:
A coaster measures 7 cm in diameter. The total area of five roller coasters must be determined.
The diameter of the coaster is d = 7 cm
The radius is:
[tex]r =[/tex] [tex]\frac{d}{2}[/tex]
[tex]=[/tex] [tex]\frac{7}{2}[/tex] [tex]cm[/tex]
[tex]= 3.5[/tex] [tex]cm[/tex]
The area of the circle is:
[tex]A =[/tex] [tex]\pi r^{2}[/tex]
= (3.14 x 3.5^2) [tex]cm^{2}[/tex]
[tex]= 38.465[/tex] [tex]cm^{2}[/tex]
We now know that the area required for five coasters is 5 x 38.465 [tex]cm^{2}[/tex]
[tex]= 192.325[/tex] [tex]cm^{2}[/tex]
Round 192.325 to the nearest hundredth and you'll get 192.33 as the correct answer.
I hope this helps! ^-^
x=25 what is the value of 5x-5
(Please explain it with proces)
Thank you
Answer:
120
Step-by-step explanation:
5x-5
Let x = 25
Substitute into the expression
5(25) - 5
Multiply
125 -5
Subtract 120
Answer:
120
Step-by-step explanation:
If X = 25
where you see X , you put 25 there
5X - 5
5(25) - 5
125 - 5
= 120
Eddie purchased 15 boxes of paper clips and 7 packages of index cards for a total of $55.40. Finn bought 12 boxes of paper clips and 10 packages of index cards for $61.70. Find the cost of one box of paper clips and one package of index cards
The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95
Step-by-step explanation:
Eldora and Finn went to an office supply store together
Eldora bought 15 boxes of paper clips and 7 packages of index cards for a total cost of $55.40
Finn bought 12 boxes of paper clips and 10 packages of index cards for a total cost of $61.70
We need to find the cost of one box of paper clips and the cost of one package of index cards
Assume that the cost of one box of paper clips is $x and the cost of one package of index cards is $y
∵ x represents the cost of one box of paper clips
∵ y represents the cost of one package of index cards
∵ Eldora bought 15 boxes of paper clips and 7 packages of
index cards for a total cost of $55.40
∴ 15x + 7y = 55.4 ⇒ (1)
∵ Finn bought 12 boxes of paper clips and 10 packages of
index cards for a total cost of $61.70
∴ 12x + 10y = 61.7 ⇒ (2)
Now we have system of equations to solve it
Multiply equation (1) by -10 and equation (2) by 7 to eliminate y
∵ -10(15x) + -10(7y) = -10(55.4)
∴ -150x - 70y = -554 ⇒ (3)
∵ 7(12x) + 7(10y) = 7(61.7)
∴ 84x + 70y = 431.9 ⇒ (4)
Add equations (3) and (4)
∵ (-150x + 84x) + (-70y + 70y) = (-554 + 431.9)
∴ -66x = -122.1
- Divide both sides by -66
∴ x = 1.85
Substitute the value of x in equation (1) or (2) to find y
∵ 12(1.85) + 10y = 61.7
∴ 22.2 + 10y = 61.7
- Subtract 22.2 from both sides
∴ 10y = 39.5
- Divide both sides by 10
∴ y = 3.95
The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95
(this is an answer I got previously)
What is the perameter and area of the photo below, also please show work and how you found your answer.
Answer: 286.1
Step-by-step explanation: i took the test!
Here is an inequality: -2x > 10.
List some values for x that would make this inequality true.
How are the solutions to the inequality -2x >/ 10 different from the solutions to -2x > 10? Explain your reasoning.
Answer:
-20,-30,-40,-44.......
There are infinite solutions.
Step-by-step explanation:
A negative multiplied by a negative is a positive. So that would make the answer positive. You can uses any negative number above 6.
Answer:
There are infinite solutions.
Step-by-step explanation:
A system of linear equations can have infinite solutions if the equations are equivalent. This means that one of the equations is a multiple of the other. It also means that every point on the line satisfies all of the equations at the same time.
Whoever gets it right can have brainliest but answer ASAP!
Answer:
the answer is 6×4=25 and 5×4=20 and 6×4=24
A custodian can clean 2 classrooms in 15 minutes. At this rate, how many classrooms can a custodian clean in 76 minutes?
Answer:
10 Classroom
Step-by-step explanation:
Since,
Custodian clean 2 classrooms in 15 minutes
Then ,
Let's see how many minutes does it takes for a custodian to clean for 1 classroom
To Find that we have to divide the given minutes by the given classroom.
15/2 = 7.5
Hence, in 7.5 minutes a custodian clean 1 classroom
Therefore:
Classroom to minutes:
1 = 7.5
2 = 15
3 = 22.5
4 = 30
5 = 37.5
6 = 45
7 = 52.5
8 = 60
9 = 67.5
10 = 75
11 = 82.5
Hence, we round to the nearest number:
which is 10 classroom in 75 minutes.
For this reason, the answer is about 10 classroom
~lenvy~
2a + 6 = 12
a =
Please answer this in 1 minute
I would really appreciate it
Answer:
a=3
Step-by-step explanation:
[tex]2a + 6 = 12[/tex]
[tex]2a+6-6=12-6[/tex] ( Subtract 6 from both sides)
[tex]2a=6[/tex] ( Simplify)
[tex]\cfrac{2a}{2}=\cfrac{6}{2}[/tex] (Divide both sides by 2)
[tex]a=3[/tex]
~
Answer:
2a+6=12
2a=12-6
a=6/2
a=3
70 pts if your correct. ROUND YOUR ANSWER.
Answer:
12.12m
Step-by-step explanation:
because math
NEED HELP ON EOG ASAP The width of the rectangular school playground is half the length. * Let W represent the width of the playground. - Let L represent the length of the playground. Which equation expresses the relationship between the length and the width of the playground? A W=2 (B) W = L+2 W = , D W = L-2
Drag a model next to the matching description to complete this proof of the Pythagorean theorem. Show that a square with area z2 can be transformed into two squares with areas x² and y².
Answer:
Answer: The square is made of 4 congruent triangles.....Moving two of the triangles changes the figures shape....Step-by-step
explanation: Hope this help Cutieboyz
Sorry thats just my nickname for boys if u even are one lol
TYYYYYY
CAN SOMEOME HELP ,E?
Answer:
B
Step-by-step explanation:
Setting up long division we get:
Please help. Mathematics.
Three real-world examples of constant rate:
Driving a Car.
Filling a Bathtub.
Interest on a Loan.
What is speed?
Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values are given using this formula.
We have,
Here are three real-world examples of constant rate:
Driving a Car:
If a car is traveling at a constant speed of 60 km/h, it will cover a distance of 60 kilometers in one hour, regardless of the terrain, traffic, or weather conditions.
The car's speed is constant.
Filling a Bathtub:
If you are filling a bathtub with a faucet that is delivering water at a constant rate, the water level in the tub will rise at a constant rate until the tub is full.
Interest on a Loan:
If you take out a loan with a fixed interest rate, the interest will accrue at a constant rate over time, as long as you make your payments on time.
Thus,
Three real-world examples of constant rate:
Driving a Car.
Filling a Bathtub.
Interest on a Loan.
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How many acres are left for home sites. David runs [tex]\frac{1}{2}[/tex] of a [tex]1\frac{1}{2}[/tex] mile relay race. How far does he run?
Suppose the planned dimensions of a rectangular kitchen have a length-to-width ratio of 3 to 2. The length of the original kitchen is 6z feet. The original kitchen can be made larger by adding four feet to each original dimension. Write a polynomial expression that represents the floor area of the larger kitchen in square feet. Write your answer in standard form.
Answer:
150 sq. in.
Step-by-step explanation:
Because... Suppose the planned dimensions of a rectangular kitchen have a length-to-width ratio of 3 to 2. The length of the original kitchen is 6z feet. The original kitchen can be made larger by adding four feet to each original dimension. Write a polynomial expression that represents the floor area of the larger kitchen in square feet.
The polynomial expression that represents the floor area of the larger kitchen in square feet is 24z² + 40z + 16
What is Area of Rectangle?The area of Rectangle is length times of width.
The length-to-width ratio of the original rectangular kitchen is 3 to 2.
Let the width of the original kitchen "w".
Then the length of the original kitchen is length = 3/2×w
We are also told that the length of the original kitchen is 6z feet. We can use this information to solve for the width of the original kitchen:
6z = 3/2×w
w = 4z
So the width of the original kitchen is 4z feet.
To make the kitchen larger, we add four feet to each original dimension. The new length is:
length = 6z + 4 feet
width = 4z + 4 feet
Area = (6z + 4 feet) × (4z + 4 feet)
Multiplying out the terms, we get:
Area = 24z² + 40z + 16 square feet
Therefore, the polynomial expression that represents the floor area of the larger kitchen in square feet is 24z² + 40z + 16
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PLEASE HELP Mustang Middle School is getting a new frozen yogurt machine. To decide which flavor to serve, the cafeteria manager surveyed students at random.
which inference is best supported by the data collected in the survey
A. The number of students who prefer strawberry is half the number of students who prefer cookies and cream
B. The number of students who prefer chocolate is higher than the combined number of those who prefer vanilla and those who prefer cookies and cream
C. The number of students who prefer strawberry is lower than the combined number of those who prefer vanilla and those who prefer cookies and cream
D. Most student prefer cookies and cream
Answer:
C
Step-by-step explanation:
A. False because the number of students who prefer strawberry is not half the number of students who prefer cookies and cream (15 ÷ 2 = 7.5, not 8)
B. False because the number of students who prefer chocolate is not higher than the combined number of those who prefer vanilla and those who prefer cookies and cream (12 is not greater than 18)
C. True because the number of students who prefer strawberry is lower than the combined number of those who prefer vanilla and those who prefer cookies and cream (12 is less than 18)
D. False because do not most student prefer cookies and cream (12 is greater than 8)
What happens to a 44-degree angle if you rotate it 90 degrees counterclockwise?
Answer:
We will have a new angle \theta_{new}=143^{\circ}θ
new
=143
∘
Step-by-step explanation:
If we rotate this angle 90 degrees counterclockwise we just need to add both angles, which means:
\theta_{new}=44^{\circ} + 99^{\circ}=143^{\circ}θ
new
=44
∘
+99
∘
=143
∘
Therefore, we will have a new angle \theta_{new}=143^{\circ}θ
new
=143
∘
I hope it helps you!
You divide a bag of trail mix into 8 portions for you and your friends to have as snacks on a bike ride. Each portion weighs 3 ounces. Find the total weight of the trail mix originally in the bag.
Answer:
Twenty-four ounces
Step-by-step explanation:
Multiply all the portions by three to get the total weight:
8 × 3 = 24 oz
Answer: 24 ounces
Step-by-step explanation:
You just need to see how many pieces there are and then multiply the amount by how much they weigh.
Hence, your answer is 24 ounces
pls mark me brainliest :)
PLEASEE SOMEONE I NEED RN
HELP ME !!!!! fbhabfab
Answer:
Positive correlation
Step-by-step explanation:
Overall as x increases, y increases.
Hope this helps!
please help me on my math problems screenshots are below
Answer:
1st. (0,-2)
2nd. yes
Step-by-step explanation:
Andrew writes the algebraic expression 2s + 2.79 to represent the cost of his lunch. He bought 2 sandwiches and a large drink. Identify any variable, coefficients, and terms in the expression. Tell what each represents
Help with the math question please
Answer:
a) Infinite solutions = intersect at every point (2 of the same line)
m = rise/run = 3/2
b = y-intercept = (0, -3)
y = 3/2x - 3
b) No solutions = no point of intersection (parallel lines)
m = 3/2 (same slope b/c parallel)
b = (0, 2)
y = 3/2x + 2
c) One solution = one point of intersection
Solution = (4, 3)
y - y₁ = m (x - x₁)
y - 2 = m (x - 2)
m = [tex]\frac{y2-y1}{x2-x1}=\frac{3-2}{4-2} =\frac{1}{2}[/tex]
y - 2 = 1/2 (x - 2)
y = 1/2x + 1
Check to see if (4, 3) is the solution to the system:
y = 1/2x + 1
y = 3/2x - 3
1/2x + 1 = 3/2x - 3
1 = 2/2x - 3
x = 4 ✅
y = 1/2(4) + 1 = 3 ✅
I hope this helps!
Answer: its a and the person above me is correct
Step-by-step explanation:
Find the area of the rug. DO NOT ROUND.
Answer:
28.26 ft²
Step-by-step explanation:
Formula
Area = πr²Given :
Diameter = 6 ft⇒ Radius = 3 ft [Diameter = 2 x Radius]Solving :
Area = 3.14 x 3 x 3Area = 3.14 x 9Area = 28.26 ft²Answer:
28.26 feet²
Step-by-step explanation:
Substitute the radius in the formula:
⇒ Area of circular rug = πr²
⇒ Area of circular rug = π(6/2)² [Diameter/2 = Radius]
Simplify the R.H.S:
⇒ Area of circular rug = π(3)²
⇒ Area of circular rug = π(9) [(3)² = 3 × 3 = 9]
Take π as 3.14 and simplify:
⇒ Area of circular rug = (3.14)(9)
⇒ Area of circular rug = 28.26 feet² (Using calculator)
