Which absolute value inequality is modeled by this graph?
A.
y < |x − 2 | − 2
B.
y > |4x + 2| − 2
C.
y > |2x − 4| − 2
D.
y < |3x − 6| − 2
Answers
Answer: Choice D
y < |3x − 6| − 2
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Explanation:
Writing y < |3x − 6| − 2 is the same as y < 3|x − 2| − 2 when factoring out the GCF from the absolute value brackets.
Let's look at a breakdown of each piece of y < 3|x − 2| − 2
The 3 out front means "vertically stretch by a factor of 3".The x-2 means we shift 2 units to the right.The -2 at the very end means "shift 2 units down"If we started with the parent V shaped graph of y = |x|, and applied those transformations listed above in the bullet points, then we'd get the boundary shown in the graph. The boundary is a dashed line to indicate "points on the boundary are NOT part of the shaded solution set". If we had an "or equal to" then we would include boundary points with a solid boundary line.
We shade below the dashed boundary to complete the shaded region for y < |3x − 6| − 2 aka y < 3|x − 2| − 2
Related Questions
A truck rental company rents a truck for a one-time fee of $25 plus $1.50 per mile traveled. Kelly has $80 she can spend on the rental truck. Written as a fraction, what is the greatest number of miles that she can travel?
Answers
Answer:
The greatest number of miles that she can travel is 36(2/3) miles
Step-by-step explanation:
m=miles
25+1.50m ≤ 80
1.5 m ≤ 55
m ≤ 36.66666......
m ≤ 36 (6/9)
m ≤ 36(2/3)
Find the area and perimeter of the following
Answers
Answer:
Perimeter is 8x²y+26x
Area is 52x³y
Step-by-step explanation:
The perimeter is 2W+2L and area is LW
Perimeter:
2(4x²y)+2(13x)
8x²y+26x
Area:
(4x²y)(13x)
52x³y
Esther cycles 70 miles over 4 days.
On day 1 she cycles 14 miles.
On day 2 she cycles 32 km.
On day 4 she cycles twice as far as she does on day 3
How far does she cycle on day 4?
Give units with your answer.
Answers
Answer:
16
Step-by-step explanation:
70 - 14 - 32 = 24 (Which is the amount of miles she cycled on both Day 3 and 4)
x + x*2 = 24
8 + 8*2 = 24
8 + 16 = 24
Therefore, she cycles 24 miles on Day 4.
pls help me solve this.
Answers
A taxi ride costs $3 plus $2.50 per mile. Write and graph an equation that represents the total cost of a taxi ride. Let m represent number of miles and c represent the total cost (in dollars) of the taxi ride. What is the total cost of a five-mile taxi ride?
Answers
Answer:
The answer is 3 + 2.50m = c.
Step-by-step explanation:
You would use the slope equation: y = mx+b where y is equal to the total cost of a taxi ride, in dollars and m is equal to the number of miles. $3 is your base cost which represents your y-intercept or your b and $2.50 represents your slope.
Hope this helps! :)
help me. I need help
Answers
Answer:
2
Step-by-step explanation:
2 repeats indefinitely
2/9 = 0.222222222
Hope this helps!
Please help me
Write an equation to represent the following statement
j is 14 less than 22.
Solve for j.
j =
Answers
Answer:
J is 8. (J= 22-14) So that would simplify to (J= 8)
Step-by-step explanation:
hope this helps :)
J is 8. (J= 22-14) So that would simplify to (J= 8)
Hello Please help me do this its due in 23 minutes!!!!!
Answers
Answer:
y = x³
Step-by-step explanation:
Hope it helps.
Answer:
y = x³
Step-by-step explanation:
I assume you meant to ask for a function that represents this.
x = input
x³ = cube of input
y = output
y = x³
what is the slope of the line lassing through the points (-3, 4) and (4, -1)
A- -1
B- 3/5
C- 3
D- -5/7
Answers
(y2-y1) / (x2-x1)
(-1-4) / (4- -3)
= -5/7
Please help I will give brainliest.
Answers
Answer:
Its x-intercepts are at (0,0) and (11,0)
The x-coordinate of its vertex is 5.5
Step-by-step explanation:
(both of the answers)
Step-by-step explanation:
x intercept is where you graph cuts the x axis
put this equation equal to 0 and then solve for x
[tex]2x(x - 11) = 0 \\ 2x = 0 \: \: \: \: \: or \: \: \: \: \: x - 11 = 0 \\ x = 0 \: \: \: or \: \: \: \: x = 11[/tex]
so x intercept is (0,0) and (11,0).
To find vertex
x coordinate is -b/2a
[tex]2x(x - 11) \\ 2x {}^{2} - 22x \\ so \: vetex \: is \: - \frac{ - 22}{2(2)} \\ \frac{22}{4} \\ 5.5[/tex]
in the figure in angle abc point d on side BC is such that angle BAC is equal to angle abc prove that CA²=CB×CD
Answers
Answer: 2205
Step-by-step explanation CB is 45 and CD is 49 45x49 is 2205 hope this helps :)
I need help please thanks
Answers
Answer:
1,120
Step-by-step explanation:
L x W x H = 14 x 10 x 8
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50 points helppppppppppppppppppppppppppppppppppppppppppppppp i need it fast
Answers
All triangles in this shape have same area as they have same base length and height length.
area of triangle: 1/2 * base * heightHere the base is 4.2 cm and height is 2.5 cm for all the given triangles.
As a result, we can say that the area of [tex]\triangle[/tex] A, [tex]\triangle[/tex] B, [tex]\triangle[/tex] C are equal.
Answer:
area A = 5.25 cm²
area B = 5.25 cm²
area C = 5.25 cm²
Step-by-step explanation:
area of a triangle = 1/2 x base x height
area of A = 1/2 x 4.2 x 2.5 = 5.25 cm²
area of B = 1/2 x 4.2 x 2.5 = 5.25 cm²
area of C = 1/2 x 4.2 x 2.5 = 5.25 cm²
Triangles A, B and C have the same area as they all have the same measures of base and height.
(PLS HELP)The diameter of a cylindrical water tank is 12 ft, and its height is 14 ft. What is the volume of the tank?
Use the value 3.14 for л, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answers
Solution:
First, let's find the radius with the given diameter.
⇒ Diameter = 2(Radius)
⇒ 12 ft = 2(Radius)
⇒ 6 ft = Radius
The area of the cylinder is basically the area of a circle in the cylinder multiplied by the height of the cylinder. This means that the volume of the cylinder is πr²h. Now, let's find the volume of the cylinder.
⇒ πr²h = Volume of cylinder
⇒ (3.14)(6²)(14) = Volume of cylinder
⇒ (3.14)(36)(14) = Volume of cylinder
⇒ 1582.56 ft³ = Volume of cylinder
Volume:-
[tex]\\ \rm\rightarrowtail \pi (6)^2(14)[/tex]
[tex]\\ \rm\rightarrowtail \pi 252(2)[/tex]
[tex]\\ \rm\rightarrowtail 504\pi [/tex]
[tex]\\ \rm\rightarrowtail 1582.56ft^3[/tex]
Solve the equation 3y=2x-3
Answers
Answer:
m = 2/3
Step-by-step explanation:
sorry if its wrong
how much money do you have when you pay 500 dollars every two weeks for a month?
Answers
(show ur work) 1875 ÷ 125 = ?
Answers
Answer:
15
Step-by-step explanation:
1875÷125=15 125×15=1875
Answer:
15
Step-by-step explanation:
What is AE?
Enter your answer in the box.
Answers
Answer:
x = 4
Step-by-step explanation:
AE = ED
2x+4 = x+8
Subtract x from each side
2x+4-x = x+8-x
x+4 = 8
Subtract 4 from each side
x+4-4 = 8-4
x = 4
four and eight tenths minus two and five tenths equals− two and eight tenths
a
two and three tenths
b
two and two tenths
c
one and three tenths
d
1
Answers
Answer:
it's two and three tenths / option a
Step-by-step explanation:
4-2 = 2
8-5 = 3
A store is having a sale in which all bookbags are discounted by `30\%`. Mai has a coupon for `\$5` off the regular price of one bookbag. The store first applies this coupon, and then takes `30\%` off the reduced price. Mai pays `\$23.10` for the bookbag.
You said the equation represents this scenario, and the solution to your equation was `\$35.56`.
Explain what the solution to the equation means within the context of the problem.
Answers
The regular price of the book bag was $38.
EquationAn equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the regular price of the bag. After applying the coupon:
Price = x - 5
After the discount:
23.10 = (x - 5) - 30% of (x - 5)
23.10 = (x - 5) - (0.3x - 1.5)
0.7x - 3.5 = 23.10
x = 38
The regular price of the book bag was $38.
Find out more on Equation at: https://brainly.com/question/2972832
Arielle is filling up the kiddie pool for her younger sister and places a hose in the pool, allowing water to fill the pool. After a certain number of minutes, Arielle finds a second hose, places it in the kiddie pool, and allows more water to fill the pool.
Arielle can express the average rate of water entering the kiddie pool in gallons per minute as 2x+6(x+3)/2x+3.
What is the meaning of the parts of this rational expression in the context of the situation?
Select from the drop-down menus to correctly complete the statements.
The numerator of the rational expression represents the ____
The denominator of the rational expression represents the ____
Possible solutions for the fill in the blank above:
A. Total number of gallons of water in the kiddie pool.
B. Total number of minutes filling the kiddie pool.
C. Number of gallons each hose dispenses.
Answers
The given rational function that gives the average rate of water entering
the pool is the total volume in the pool divided by the time.
Response:
The numerator of the rational expression represents the;
A. Total number of gallons of water in the kiddie pool
The denominator of the rational expression represents the;
B. Total number of minutes of filling the kiddie pool
Which methods are used to determine the parts of the rational function?The given parameters are;
[tex]Expression \ for \ average \rate \ of \ water \ entering \ the \ pool = \mathbf{ \dfrac{2 \cdot x + 6 \cdot (x + 3)}{2 \cdot x + 3}}[/tex]
The parts of the given expression can be analyzed as follows;
x = The time in which the second hose is in use
2 = The flow rate of the second hose in gallons per minute
6 = The flow rate of the first hose in gallons per minute
x + 3 = The time in which the first hose is in use
x + x + 3 = 2·x + 3 = The total number of minutes of filling the kiddie pool
Therefore;
2·x = The volume added to the pool due to the second hose
6·(x + 3) = The volume added to the pool due to the first hose
2·x + 6·(x + 3) = Total number of gallons of water in the kiddie pool
Which gives;
The numerator of the rational expression represents the;
A. Total number of gallons of water in the kiddie pool
The denominator of the rational expression represents the;
B. Total number of minutes of filling the kiddie pool
Learn more about rational functions here:
https://brainly.com/question/16823676
Look at the steps used when solving 3(x - 2) = 3 for X.
3(x - 2) = 3
3x - 6 = 3
3x - 6 + 6 = 3 + 6
3x = 9
Write the original equation.
Use the Distributive Property.
Step 1
Step 2
3x 9
3
3 3
Step 3
x = 3
Step 4
Which step is the result of combining like terms?
Which step is justified by division property of equality?
Answer in at least TWO COMPLETE SENTENCES.
Answers
Answer:
3×-6=3
3×=3+6
3×=9
×=3
Step-by-step explanation:
multiply 3 by the variables in the bracket.
then you will get 3×-6=3.
take the -6 to the right hand side and it becomes+6
then you get 3×=3+6 therefore =3×=9
then divide both sides by 3.
3×÷3 and 9÷3
×=3
A few students finished up their NCVPS work early and are playing skip
rope. As the rope rotates it is observed that its maximum height is 2.75m
after 1 second. The first minimum height of 0.25m occurs 2 seconds after
the maximum height. Sketch a graph to model the situation.
Answers
Answer:
see attached
Step-by-step explanation:
The graph can be shown as a sine wave with a maximum of 2.75 m and a minimum of 0.25 m. Its period will be twice the time from maximum to minimum, so will be 2×2 seconds = 4 seconds. The midline of the graphed function will be halfway between the extremes, at 1.5 m.
The equation of the graph will put the first peak at 1 second, so if a cosine function is used, it will have a horizontal shift of 1 second to the right.
Cindy is baking a 2-layer cake .The too layer has a diameter of 8 inches and the bottom layer has a diameter of 10 inches. What is the difference in area between the top surface of two cakes? Use 3.14 for pi
Answers
Answer:
28.26
Step-by-step explanation:
Already put an answer before for you and explained pretty sure
A swimming pool has a volume of 40,075 cubic feet. How many gallons of water does the pool hold
Answers
Answer:
299,781.8 gallons
Step-by-step explanation:
There are 576/77 gallons of water in one cubic foot, so the volume of the pool is ...
(40075 ft³)(576/77 gal/ft³) = 3297600/11 gal ≈ 299,781.8 gal
The pool holds about 299,781.8 gallons.
Find the area of the iscoselies triangle when the base is 10cm and hypotenuse is 13
Answers
hope it helps
please give brainliest
Step-by-step explanation:
.
Answer:
[tex]\sf\: Area \: of \: the \: triangle \: = \boxed{\boxed{\bf\:50 \: cm^{2}}}[/tex]
Step-by-step explanation:
Given,
The triangle is an isosceles triangle.
Base (b) = 10 cmHypotenuse = 13 cmAltitude (h) = Base = 10 cm [isosceles triangle has equal opposite sides]Since, we are given the hypotenuse, the triangle will be an isosceles right angled triangle.
We know that, area of a right angled triangle = ½ × b × h
By substituting the values in the above formula...
½ × b × h
= ½ × 10 × 10
= ½ × 100
= [tex]\boxed{\boxed{\bf\:50 \: cm^{2}}}[/tex]
______________
Have a wonderful day!
If it if 2 multiplies by x and the answer if 8 . What is the value of x ??
Answers
(Divide 2 from both sides)
x=4
i do not know the answer for this
Answers
Answer: R = (-2,0) S = (-9,0)
Solve the system by substitution.
y = 5x
y = 9xx+ 8
Answers
x=6
Step-by-step explanation:
I'm not very good at this so ya.
What is f(5) if f(1) = 3. 2 and f(x 1) = Five-halves(f(x))?
Answers
Function assign value from one set to another. The value of f(5), if f(1) = 3.2 and f(x+1) = Five-halves(f(x)) is 125.
What is Function?A function assigns the value of each element of one set to the other specific element of another set.
As it is given the value of the function f(1) is 3.2, while the value of f(x+1) is [tex]f(x+1) = \dfrac{5}{2}[f(x)][/tex], therefore, in order to find the value of f(5), we need to calculate the value of f(4).
f(2)
[tex]f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(2)=f(1+1) = \dfrac{5}{2}[f(1)]\\\\f(2) = 2.5 \times 3.2\\\\f(2) = 8[/tex]
f(3)
[tex]f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(3)=f(2+1) = \dfrac{5}{2}[f(2)]\\\\f(3) = 2.5 \times 8\\\\f(3) = 20[/tex]
f(4)
[tex]f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(4)=f(3+1) = \dfrac{5}{2}[f(3)]\\\\f(4) = 2.5 \times 20\\\\f(4) = 50[/tex]
f(5)
[tex]f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(5)=f(4+1) = \dfrac{5}{2}[f(4)]\\\\f(5) = 2.5 \times 50\\\\f(5) = 125[/tex]
Hence, the value of f(5), if f(1) = 3. 2 and f(x+1) = Five-halves(f(x)) is 125.
Learn more about Function:
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Answer:
Its 125
Step-by-step explanation:
got it right on ed
