Answer:
A) f(x) = |x|
B) f(x) = -|x+3| + 3
Step-by-step explanation:
Absolute value functions
The general form of an absolute value function is f(x) = a|x-b| +c
a indicates the 'amplitude' or multiplier
b indicates horizontal shift
c indicates vertical shift
The turning point of f(x) = |x| is (0, 0)
a = y/x when b = 0 and c = 0
A) f(x) = |x|
Since the turning point is still (0, 0) there is no horizontal nor vertical shift, meaning b = 0 and c = 0
We have the point (2, 2), thus a = 2/2 = 1
f(x) = a|x-b| + c
f(x) = |x|
B) f(x) = -|x+3| + 3
The turning point is at (-3, 3) b = -3 and c = +3
We have the point (3, -3), thus a = y/x = -3/3 = -1
f(x) = a|x-b| + c
f(x) = (-1) (|x-(-3)|) + (+3)
f(x) = -|x+3| + 3
What is the area of a square with sides of length 2 1/2 cm?
The area of the square with the sides 2 1/2 cm will be A=6.25 square cm.
What is the area?The space covered by the square in the two-dimensional plane will be the area of the square. Square actually covers the area with four equal sides.
The formula for the area of the square will be given as:-
A=Side x Side
A= 2 1/2 x2 1/2
A=5/2x5/2
A=2.5x2.5
A= 6.25 square cm
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PLease Help me its a math question Is the function represented by the following table linear, quadratic or exponential?
Answer:
Exponential
Step-by-step explanation:
From the table :
3⁰ = 13¹ = 33² = 93³ = 273⁴ = 81Hence, the function is :
y = 3ˣAs the x-value is an exponential value, the function is exponential
Is the function represented by the following table linear, quadratic or exponential?
Linear
Quadratic
ExponentialExplanation:
Share what you already know about third grade math.
Answer:
6×6=36
Step-by-step explanation:
2×3=5
6×10=60
50×10=50
Find a factor pair of 80 that has a sum of 21.
Answer:
16 and 5
Step-by-step explanation:
Hope that helps! :)
10 in
12 in
6 in
8 in
Surface Area =
I need the surface area
Answer: the answer is 312in
The selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost of $420. Find the markup from cost to sale price. Please help!
Answer:
20%
Step-by-step explanation:
old selling price = $720
new selling price = 720 x (1 - 30%) = 720 x 70% = $504
cost = $420
markup = (504 - 420)/ 420 = 84/420 = 20%
HEEEEEEEEEEEEEEEEEEEEEEEEEEELP!
Answer: It's a 180 degree angle.
Step-by-step explanation:
The coordinates of point R are (−3, 2), and the coordinates of point T are (4, 1). What is the length of RT?
Answer: [tex]d=\sqrt{50}, 5\sqrt{2}, \,\text{or about}\;7.1[/tex]
Step-by-step explanation:
We can use the distance formula to solve.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(4--3)^2 +(1-2)^2}[/tex]
[tex]\displaystyle d=\sqrt{(4+3)^2 +(1-2)^2}[/tex]
[tex]\displaystyle d=\sqrt{(7)^2 +(-1)^2}[/tex]
[tex]\displaystyle d=\sqrt{49+1}[/tex]
[tex]\displaystyle d=\sqrt{50}[/tex]
d ≈ 7.1
8 sandwiches cost £18.40
Find the cost of 5 sandwiches.
Answer:
11.5
because
8 18.40
5 ?
5×18.40=92
92÷8=11.5
Answer:
£11.50
Step-by-step explanation:
Well to solve this equation you must divide the total cost of the 8 sandwhiches by 18.40
18.40 divided by 8 is 2.30
So that means the cost per sandwhich is £2.30
Then all you have to do is multiply 2.30 by 5
2.30 divided by 5 is 11.50
So the cost of 5 sandwiches would be £11.50
The formula for the area of a triangle is bh=A. Which of the following is not a possible first step to
rearrange this formula to find the base of the triangle?
Answer:
h = A ÷ b
Step-by-step explanation:
The base is to be the subject of formula not height so dividing through the equation by b to give h = A ÷ B is not a possible first step
What is 8C6?
O A. 10
O B. 28
O C. 14
O D. 35
Answer: B
Step-by-step explanation:
a 3. A card is pulled from a standard deck of cards.
Can you find P(queen or hearts)? (make sure you aren't double counting!!!)
Answer:
row 4 answer 6 i just took the quiz
Toni bought these items for
an art project. The sales tax
is 8.5%. What is the total cost including tax, rounded to the nearest cent?
Answer: D, 43.38
Step-by-step explanation:
add all of the items up and then divide by sales tax percent. then add up the original number by the sales tax amount
volume of a l=10 x w=10 x h=8in triangular prism
2yx^0/x^4
Simplify. I give Brainliest,.
Answer:
2y/x^4
Step-by-step explanation:
Apply the exponent rule: a^0 = 1, assuming a [tex]\neq[/tex] 0
Hence,
x^0 = 1
2y * 1/x^4
Multiply 2 and 1
2*1 = 2
= 2y/x^4
when the number in pattern H is 48 what is the corresponding term in pattern G
Answer:
explain it better please
Please help me with this it's algebra WILL GIVE BRAINLIEST and 5 points
Find the area of the circles.
Answer:
200.96 square units
Step-by-step explanation:
d = 16
r = diameter ÷ 2 = 16 ÷ 2
r = 8
[tex]\boxed{Area \ of \ circle = \pi r^2}[/tex]
= 3.14 * 8* 8
= 200.96 square units
Answer:
See Explanation!
Step-by-step explanation:
Brief History:
While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.
Solution: (Circle 1)⇒ Given :
Radius is 5Diameter is 10 (Can be known by adding the radius together.)Using the formulas
[tex]A=\pi r^{2} \\d=2r[/tex]
Solving for [tex]A[/tex]
[tex]A=\frac{1}{4} \pi d^{2} =\frac{1}{4} *\pi *10^{2}[/tex] ≈ [tex]78.53982[/tex]
[tex]A[/tex] ≈ [tex]78.54...rounded[/tex]
Solution: (Circle 2)⇒ Given :
Diameter is 16 Radius is 8Using the formulas
[tex]A=\pi r^{2} \\\d=2r[/tex]
Solving for [tex]A[/tex]
[tex]A=\frac{1}{4} \pi d^{2} *\pi *16^{2}[/tex] ≈ [tex]201.06193[/tex]
[tex]A[/tex] ≈ [tex]201.06...rounded[/tex]
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Answer:it should be b!
Step-by-step explanation:
I’m pretty sure I had the question before
If [tex]f(x)=[[x+2]][/tex] find [tex]f(1.5)[/tex]
Please Explain Answer Please. Thank you!
Answer:
f ( 1.5 ) = 1.5 + 2 = 3.5
If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!
Answer: ⇒ 3.5
Step-by-step explanation:
⇒ f(1.5) = 1.5 + 2
⇒ f(1.5) = 3.5
Which type of function is shown in the table below?
Answer:
Exponential
Mark brainliest :)
What is the slope below?? Please answer quickly! Due tonight.
What is the value of c? Round to the nearest tenth.
Answer:
30%
Step-by-step explanation:
The two dot plots show the number of goals per game. The data for each is taken from a random sample within a soccer league over a 1-month period. Complete the statements below. Goals Scored in English League A dot plot.
Answer:
first blank is 3
second blank is 2.5
last blank is 0.5
Step-by-step explanation:
Answer: Look at the attachment
3
2.5
0.5
Step-by-step explanation:
1. Reflect triangle A across the line x = 2.
2. Write a single rule that reflects triangle A across the line x = 2.
PLEASE HELP
I only have till tomorrow midnight to turn this in
Draw a perpendicular at x=2
Now reflect each coordinates across there
(2,2)
Will remain same as x=2 is on Q1 positive side(8,4)
x coordinate=2-8=-6y coordinate=4(same)New coordinate (-6,4)
(6,8)
x coordinate=2-6=-4 y coordinate is sameNew coordinate
(-4,8)Answer:
Rule: Reflect the figure across the y-axis then translate the reflected figure 4 units to the right.
Step-by-step explanation:
Part 1Points of Figure A:
(2, 2)
(8, 4)
(6, 8)
Draw a line at x = 2, then reflect each point across the line
(2, 2) → (2, 2)
(8, 4) → (-4, 4)
(6, 8) → (-2, 8)
Part 2Reflection in the y-axis: (x, y) → (-x, y)
As the y-values of our two figures have not changed, the first part of the rule is: reflect across the y-axis
If we reflect the figure across the y-axis, the points of the reflected figure are:
(-2, 2)
(-8, 4)
(-6, 8)
To bring the reflected figure back to where we want it (reflection in x = 2) we need to translate the figure 4 units to the right:
(-2 + 4, 2) = (2, 2)
(-8 + 4, 4) = (-4, 2)
(-6 + 4, 8) = (-2, 8)
So the final rule is:
Reflect the figure across the y-axis then translate the reflected figure 4 units to the right.
How much time will it take for an object to move 9 meters, if it moves 2 m/s? show your solution
Step-by-step explanation:
How much time will it take for an object to move 9 meters, if it moves 2 m/s?How do you find the speed of a falling object?
Calculate the final free fall speed (just before hitting the ground) with the formula v = g*t = 9.80665 * 8 = 78.45 m/s. Find the distance traveled by the falling object, using the equation s = 0.5 * g * t^2 = 0.5 * 9.80665 * 8^2 = 313.8 m.
Answer:
4.5
Step-by-step explanation:
4.5 x 2 = 9
very simple
four plastic bottles, each with a radius of 2 inches, are packed into a cardboard box. The glasses touch each other and the sides of the box. What is the area of the bottom of the box? (The area of a circle is equal to pi times radius squared)
The area of a 2D form is the amount of space within its perimeter. The area of the bottom of the box is 64 square inches.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.
Given the radius of the base of the plastic bottle is 2 inches, and there are four bottles arranged as shown below, therefore, the area of the bottom of the box is,
[tex]\rm \text{Area of the bottom of the box} = 8 \times 8 = 64\ in^2[/tex]
Hence, the area of the bottom of the box is 64 square inches.
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help me with this algebra equation
Answer:
it's D
Step-by-step explanation:
it's d because i guessed it was
6 Three of the ten people in the Latin club are chosen at random to represent the club at a tournament. What is the probability that Joseph, Heidi, and Katy are chosen?
The probability that Joseph, Heidi, and Katy are chosen is 1/40 if three of the ten people in the Latin club are chosen at random to represent the club at a tournament option (G) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Total ways of choosing 3 out of 10 = C(10, 3) = 120
Total outcomes = 120
Total favorable outcomes = 3(Joseph, Heidi, and Katy)
Probability = 3/120 = 1/40
Thus, the probability that Joseph, Heidi, and Katy are chosen is 1/40 if three of the ten people in the Latin club are chosen at random to represent the club at a tournament option (G) is correct.
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the price of a video game was reduced from 65 to 45.50. by what percent was the price of the video games reduced