What is the function graphed below?
3
Oy=x-1
Oy=1 X-1
Oy=1x+11
Oy=x+1
The function that is graphed below is y = |x + 1|.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of the equation y = |x + 1| is a V-shaped curve that opens upwards and has a vertex at the point (-1, 0).
The absolute value function, represented by the vertical bars surrounding the expression (x + 1), means that the function will always output a positive value, regardless of the input.
When x is greater than or equal to -1, the expression inside the absolute value bars is non-negative, so the equation simplifies to y = x + 1.
This is a linear function with a slope of 1 and a y-intercept of 1, which means that the graph of y = |x + 1| for x ≥ -1 is a straight line that passes through the point (-1,0) and slopes upward to the right.
When x is less than -1, the expression inside the absolute value bars becomes negative, so the equation simplifies to y = -(x + 1) = -x - 1.
This is also a linear function, but with a slope of -1 and a y-intercept of -1, which means that the graph of y = |x + 1| for x < -1 is a straight line that passes through the point (-1,0) and slopes downward to the right.
The two linear segments meet at the vertex (-1,0), which is the minimum point of the graph.
The graph of y = |x + 1| is a continuous, piecewise linear function with a minimum value of zero at x = -1.
Thus,
The function that is graphed below is y = |x + 1|.
Learn more about functions here:
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Graph A (-3.-2), B (-5,-4), and C (-3,-4)
Pls solve the problems
Graph attached
Solve the equation below and explain how you solved it
x- 5 (x-1) = x- (2x-3)
(No bots or u will be reported)
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides
x - 5x + 5 = x - 2x + 3
- 4x + 5 = - x + 3 ( add x to both sides )
- 3x + 5 = 3 ( subtract 5 from both sides )
- 3x = - 2 ( divide both sides by - 3 )
x = [tex]\frac{2}{3}[/tex]
Find the value of x
3x = 9²
[tex]\huge\boxed{Hi\:there!}[/tex]
[tex]\huge\sf{3x=9^2}[/tex]
[tex]\huge\sf{3x=81}[/tex]
[tex]\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}[/tex]
[tex]\huge\sf{x=27}[/tex]
[tex]\huge\boxed{Hence,\:x=27.}[/tex]
[tex]\huge\sf\underline{Hope\:it\:helps}[/tex]
[tex]\boxed{CheerfulGirlie\:here\:to\:help}[/tex]
Find the value of x
3x = 9²
Answer:-x = 27
Explanation:-=> 3x = 9²
=> 3x = 81 [9² = 9×9 = 81]
=> x = 81/3
=> x = 27
someone pleeeeease help me
Answer:
22.4cm
Step-by-step explanation:
The formula for the diagonal is:
[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]
Where:
l is the length (AB, CD)
b is the width (BC, AD)
h is the height (AE, BF, CG, DH)
We know d, l, b and we can calculate h
[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]
We evaluate both sides to ² to remove the square root:
[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]
[tex]625 = 164 + h {}^{2} [/tex]
To find the value of h we have to do the square root, as it is to the ²:
[tex] \sqrt{625 - 124} = h[/tex]
[tex] \sqrt{501} = h = 22.4cm[/tex]
4x + 7 = 6x + 4. what is this answer step by step?
[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]
Answer:
x= 3/2
Step-by-step explanation:
4x+7=6x+4
Step 1: Subtract 6x from both sides.
4x+7−6x=6x+4−6x
−2x+7=4
Step 2: Subtract 7 from both sides.
−2x+7−7=4−7
−2x=−3
Step 3: Divide both sides by -2.
-2x=-3
-2 -2
=
3/2
Each time Cali babysits, she gives 35% of
the money to her sister who comes and
helps out. Find the expression that
shows how much money Cali keeps each
time she babysits.
A. (0.35%
B. X-(0.35)
C. x/0.35
D. X-0.35
What are the terms in this expression: x + 7 - 3x + 6y (Check all that apply)
A is x
B is -4
C is -3x
D is 6y
E is +7
3(x+2)+5x how do i simplify that expression?
Answer:
2(4x+3)
Step-by-step explanation:
Distribute 3 ( + 2 ) + 5 to 3 + 6 + 5
Combine the terms 3 + 6 + 5 to 8 + 6
Common factor Factor 3 ( + 2 ) + 5 to 2 ( 4 + 3 )
I need help with this problem:
Which system of equations belongs to the graph?
a) 2x - 2y = 6 and 2x + 3y = 6
b) 2x + 2y = 6 and 4x – 6y = 12
c) x - 2y = 6 and 4x + 6y = 12
d) None of the above
Answer:
b)
Step-by-step explanation:
2x + 2y = 6 ---> y=-1x+3
4x – 6y = 12 ---> y= 4/6x -2
Answer:
I think it is a
Step-by-step explanation:
You have to solve those systems first. In the first option, x would be equal to 3 and y would be 0. Therefore, the intersection is (3; 0)
can i get some help ?::
Answer:
7+3^2-2*5/4-1*2=
7+9-10/-2=
6/-2 or -3
3/4+1/8=
7/8 divided by 1/8=
7-2^2
3
-3<3
the second one is larger
Hope This Helps!!!
Simplify the variable expression below as much as possible.
X + 8 .z
Answer here
Answer:
It will stay at x + 8
Step-by-step explanation:
5/6+1/4 these are fractions
2 Divided by 1 / 5. Rlly need help on this
Answer:
The answer will be 10
Step-by-step explanation:
2/1/5=10
Which expression is equivalent to 9x – 2x2 + 4x – x?
Answer:
-2x^2+12x
Step-by-step explanation:
Suppose that 13 inches of a wire cost $.78 at the same rate how much in cents will 31 inches of wire cost
Answer:
1.86
Step-by-step explanation:
Important Info:
13 inches of wire cost = .78
Question to Answer:
How much in cents will 31 inches of wire cost?
Explanation/Solution:
Since, 13 inches of wire cost .78 then Find the Cost of 1 Inches..
To do that we have to Divide..
.78 ÷ 13
=
0.06
So, 1 Inches of Wire Cost 0.06.
Hence, 31 · 0.06
= 1.86
Therefore, 31 Inches of wire cost 1.86.
[ RevyBreeze }
Algebra 1
Q.13 Complete a function table from an equation 273
Complete the table.
f(x) = 2x - 10
х f(x)
6
7
8
9
Submit
Answer with step-by-step explanation:
To solve this, all we have to do is replace x in 2x - 10 with the number from the table.
6: 2(6) - 10 = 2
7: 2(7) - 10 = 4
8: 2(8) - 10 = 6
9: 2(9) - 10 = 8
There you have it! Have a good day :)
pls help on my maths
Answer:
X=((2q+5p)/3)^1/2
This is how x has to be subjected
Step-by-step explanation:
Please Brainlist
Answer:
[tex]x[/tex] = √2q + 5p / 3
Step-by-step explanation:
3[tex]x^{2}[/tex] = 2q + 5p
[tex]x^{2}[/tex] = 2q + 5p / 3
[tex]x[/tex] = √2q + 5p / 3
if 6 notebooks cost $15 how much would 1 notebook cost?
Answer:
well altogether it is 15 then it would be 3 dollars each
Step-by-step explanation:
:)
Why are the two houses of Congress a compromise? How did this address the concerns of both groups?
Answer:
To balance the interests of both the small and large states, the Framers of the Constitution divided the power of Congress between the two houses. Every state has an equal voice in the Senate, while representation in the House of Representatives is based on the size of each state's population.
Step-by-step explanation:
A circle has diameter 18 inches, and a chord is 14 inches long. What is the distance in inches from the chord to the center of the circle, to the nearest hundredth?
Answer:
Let O be the center of a circle whose radius is r cm , in which AB= 14 cm long
cord is at a distanceof 24 cm from O. Draw a perpendicular OD on AB , thus ,
OD= 24 cm.
In right angled triangle. ODB
OB^2 = OD^2+ DB^2
r^2 =(24)^2+(AB/2)^2 = 576+(14/2)^2
r^2 = 576+ 49=625
r = √625. =25 cm. Answer.
5 1/4 - 2 2/3 in fraction form
Answer:
6 1/10 (6.1)
Step-by-step explanation:
2 3/5 + 3 1/2 (2.6 + 3.5= 6.1)
2 6/10 + 3 5/10
5 11/10
6 1/10 (6.1)
if y is directly proportional with x and y=180 when x=15,what is the value of x when y=276
Answer:
23
Step-by-step explanation:
180/15 = 276/x
12 = 276/x
12x = 276
x = 23
Which expression is equivalent to 3 2 times 3-5 ?
Answer:
A)
Step-by-step explanation:
Use the formula ( v = u + at ) to work out the value of v : when u =6, a = 4, t =30
Answer:
V = 126
Step-by-step explanation:
Step 1) Given that u = 6, a = 4 and t = 30 the equation looks like this: V = 6 + 4(30) (V = U + AT)
Step 2) Multiply 4 by 30 to get 120 and add six to get the answer V = 126.
In the past month Melissa went to buy video games and 7 DVD the rental price for each video game was $3.10 the rental price for each DVD was $3.70 what is the total amount that Melissa bent on the video game and the DVD rentals in the past month
Justin took 55 minutes to get to school and his best friend Dwayne took 3/4 hours. How much time did they take to get to school altogether?
Answer:
100 mins or 1⅔ hrs
Step-by-step explanation:
¾ hr = ¾ × 60 mins
¾ hr = 45 mins
55 + 45 = 100
100 mins = 100 × hr/60
100 mins = 1⅔ hrs
Answer:
100 mins or 1⅔ hrs
Step-by-step explanation:
¾ hr = ¾ × 60 mins
¾ hr = 45 mins
55 + 45 = 100
100 mins = 100 × hr/60
100 mins = 1⅔ hrs
So it took them 1 2/3 hrs to get to school
What is the answer to | 6-4|-|3-8|
Answer:
-3
Step-by-step explanation:
Let's do the sums, and let's remember that the absolute value of a number is the number itself if positive, or it's opposite if negative [tex]|6-4|-|3-8|= |2| -|-5|=2-5=-3[/tex]
add: 8x^2+7xy-6y^2, 4x^2-3xy+2y^2 and -4x^2+xy-y^2
Answer:
8x² - 5y² + 5xy
Step-by-step explanation:
8x² + 7xy - 6y² + 4x² - 3xy + 2y² - 4x² + xy - y² = (8x² + 4x² -4x²) + (-6y² + 2y² - y²) + (7xy - 3xy + xy) = 8x² - 5y² + 5xy
What is the equation of the line?
Answer: x=0
Step-by-step explanation:
The line has an undefined slope and has infinitely many solutions as it passes through the y-axis
Therefore the equation of the line is x=0