Answers
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|.
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Related Questions
The graph below shows the
relationship between the distance a
car is driven and the number of
gallons of gas used. What is the slope
and what does it represent?
Answers
Answer:
The slope is 30 and it represents the distance the car can travel per gallon of gas used
Step-by-step explanation:
We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30
It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.
Slope = 60 mi/2 gal
Slope = 30 mi/gal
The slope represents the distance a car travels and the gas used.
how do you evaluate numbers in math?
Answers
To evaluate an expression in maths, plug in he value of the variable, then simplify the expression following the order of operation.
Assuming we are given the expression, 3x + (2x - 1), and we are required to evaluate the expression, the following shown below is how to evaluate the expression if we are told that x = 1.
First step is to plug in the value of the variable, x, into the expression:3(1) + (2(1) - 1)
3 + 2 - 1
Using the order of operation, simply4
Therefore, to evaluate an expression in maths, plug in he value of the variable, then simplify the expression following the order of operation.
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-5 5/6 - ( -2 1/3 ) + 5 1/6
Answers
Sponges are sold for 20 dollars. How many sponges per dollar.
Answers
Answer:
$1 or $1.25
Step-by-step explanation:
Not sure. Maybe
What is the value of the digit in the ten thousands place?
16,985,717
A. 90,000
B. 8,000
C. 10,000,000
D. 80,000
Answers
Answer:
D. 80,000
Step-by-step explanation:
A tip might be to read the number outloud and then the answers to see the similarities.
Hope this is helpful :)
how to find the domain and range of a piecewise function without a graph
Answers
Answer:
Step-by-step explanation:
The x component of a function is domain and the y component is range of a function . For example - R1={(3,4),(5,6),(7,9)} The domain of R1 ={3,5,7} The range of R1={4,6,9}
Dez was called to solve a problem on the whiteboard in class. His work is shown below.
0.8 × Four-fifths
8/10 × 4/5 = 32/5
StartFraction 32 over 5 EndFraction = 6Two-fifths
Is the answer shown reasonable?
(A) The answer is reasonable because 0.8 was converted to an equivalent fraction.
(B) The answer is reasonable because it is greater than both factors.
(C) The answer is not reasonable because 4/5 of a number should be less than the number.
(D)The answer is not reasonable because StartFraction 32 over 5 EndFraction does not equal 6Two-fifths.
HELP ME PLZ!!!!!
Answers
Answer:
C. The answer is not reasonable because 4/5 of a number should be less than the number
Step-by-step explanation:
On Edge
The answer to the problem need quick
Answers
Answer:
1 3/4 + 1 5/12 + 2 1/3=5.5
5.5*10.5=57.75
Hope This Helps!!!
What is the solution to this inequality?
−15x>75
x<−5
x>−5
x≥−5
x≤−5
Answers
Answer:
x < -5 (the first option)
Step-by-step explanation:
I hope this helps!
The solution of the inequality will be;
⇒ x < - 5
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - 15x > 75
Now,
Since, The inequality is,
⇒ - 15x > 75
Hence, The solution of the inequality is,
⇒ - 15x > 75
⇒ - x > 75/15
⇒ - x > 5
⇒ x < - 5
Thus, The solution of the inequality is,
⇒ x < - 5
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An Ipad that costs $500 is on sale for 15% off. Then has a 6% tax. What's the final price?
Answers
Answer:
subject tooo
Step-by-step explanation:
sorry
Answer:
$450.50
Step-by-step explanation:
Philip has $5,774 in a savings account. The interest rate is 13%, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
(compound interest formula)
Answers
[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 5774(1 + \frac{13}{100} ) ^{1 \times 5} - 5774 \\ \sf= 5774 \times ( \frac{113}{100} ) ^{5} - 5774 \\ \sf= 10638.22 - 5774 \\ \sf = 4864.22[/tex]
Answer:
$4864.22 (approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
y=
4
5
x+1
y=
–
3
5
x–6
Answers
Answer:
Step-by-step explanation:
Answer:
So, yea i cant get you an exact answer but... i can tell you howto solve it.
Step-by-step explanation:
IN this case you would need to rewrite it so it is on the left side!
Bye friend! :)
you have also wasted your time by going down heere so, YOUR FAULT
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter
Answers
Answer:
125 cmStep-by-step explanation:
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter?
A Regular polygon is a polygon with all sides of equal length
so
25 * 5 = 125 cm
If AB∥ED and m∠ABC = m∠DEF. Prove CB|| EF.
Answers
Explanation:
( ) . . . . stuff that is given
∠ABE ≅∠DEG . . . . corresponding angles at a transversal
∠ABC +∠CBE = ∠ABE . . . . angle addition postulate
∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality
∠DEF +∠FEG = ∠DEG . . . . angle addition postulate
∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality
∠FEG = ∠ABE -∠ABC . . . . substitution property of equality
∠CBE = ∠FEG . . . . substitution property of equality
CB║EF . . . . converse of corresponding angles theorem
28 degree + x-4 degree+2x=180 degree
Answers
Answer:
x = 52
Step-by-step explanation:
28 + x - 4 + 2x = 180
Simplify the left side
3x + 24 = 180
Subtract 24 from each side
3x = 156
Divide each side by 3
x = 52
Which sign makes this number sentence true?
|-1011 _-85
A)>
B) <
C) =
D) X
Answers
which inequality is a true statement select each correct answer
Answers
Answer:
A. False
B. True
C. False
D. False
E. True
Hope This Helps!!!
(13-(4-1)-2)+4 Help I got finals and don't understand
Answers
Do the inner parentheses first
(13 - (3) - 2) +4
(13 - 3 - 2) + 4
(8) + 4
12
Hope this helps!
Brainliest is much appreciated!
Answer:
12
Step-by-step explanation:
( 13-3-2) +4
= 8 +4
=12
Need help!!!!!!!!!!!!!!!!!!!!!!!!
Answers
[tex]\mathfrak{( \frac { 6 x } { y } ) ( \frac { y } { 3 x - 3 } ) } [/tex]
[tex]\mathfrak{ \frac{6xy}{y\left(3x-3\right)} } [/tex]
[tex]\mathfrak{ \frac{6x}{3x-3} } [/tex][tex]\mathfrak{ \frac{6x}{3\left(x-1\right)} } [/tex]
[tex]=\boxed{\mathfrak{\frac{2x}{x-1} } }[/tex]
☆ Option 3 is correct.
[tex]\mathbb{MIREU} [/tex]
What is the volume of a cube with sides of length 9m?
Answers
Answer:
V = 729 m³
General Formulas and Concepts:
Pre-Algebra
Evaluation
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cube Formula: V = s³
V is volume (in units³)s is a side lengthStep-by-step explanation:
Step 1: Define
Identify variables.
s = 9 m
Step 2: Find Volume
Substitute in variables [Volume of a Cube Formula]: V = (9 m)³[Order of Operations] Evaluate: V = 729 m³Where do planes PRS and QRST intersect?
Answers
P = x y . Find P when: x = 8 and y = − 11
Answers
Answer:
P= -88
Step-by-step explanation:
Since P=xy (Or x times y)
We can solve it since we know that x and y is: 8 and -11
So 8 times -11
Which is -88
Thus P= -88
Hope this helps!
How I can apply the distribute property to this question?
Answers
Answer:
6(4c+6d+3)
Step-by-step explanation:
First, find the greatest common factor, which is 6, in this case.
24/6=4
36/6=6
18/6=3
6(4c+6d+3)
-hope it helps
EJ practice football for a minimum of 6 hours a
week. He practices for 1.5 hours each session. If
EJ has already practiced 3 hours this week, how
many more sessions must he practice to meet or
exceed his goal?
Answers
Answer:
He must practice at least 2 more times
Step-by-step explanation:
A sphere has an area equal to 4800 cm2. Considering π = 3, what is the measure of its radius? * 15 cm 10 cm 144 cm 12 cm 20 cm
Answers
Answer:
20 cm
Step-by-step explanation:
Use the formula
A=4πr^2
Solving for radius
[tex]r = 1/2 \sqrt{A/\pi } = 1/2 \sqrt{4800/\pi }[/tex] ≈ 19.5441
We are given –
[tex] \sf \begin{cases} \sf A_{\circ} = 4\: 800\: cm^2 \\ \sf \pi = 3 \\ \sf r = \:?\: cm\end{cases}[/tex]
A sphere is a three-dimensional object that results from the rotation of a circle around its diameter.The spherical surface area is given by–[tex] \pink{\bf\boxed{ \bf{A = 4 \pi \cdot r^2}}}[/tex]Just use the formulas for the sphere's area to determine the radius.
[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf A_{\bigcirc} = 4 \pi \cdot r^2} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 4 \cdot 3 \cdot r^2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 12 \cdot r^2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = \dfrac{4\:800}{12} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = 400 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \sqrt{400} [/tex]
[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf r = 20\: cm} [/tex]
Henceforth, the radius of the sphere measures [tex] \bf = 20\: cm [/tex].
7. A cargo train covers 375 km in 15 hours. Find: b) time taken to travel 770 km.
Answers
Answer:
30 hours 48 minutes
Step-by-step explanation:
Using the relationship
average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{375}{15}[/tex] = 25 Km / hour
Then
time = [tex]\frac{distance}{speed}[/tex] = [tex]\frac{770}{25}[/tex] = 30.8 hours = 30 hours 48 minutes
Answer:
30.8 or 30 hours and 48 mins
Step-by-step explanation:
375 km > 15 Hours
Divide 375 and 15, equals to 25.
So, to proof that 375 is equals to 15 hours, divide 375 and 25 then you will get the answer 15. :)
Now, divide 770 and 25 to get the time taken to travel 770km.
And the answer is 30.8 hrs or... 30hrs and 48mins
Welcome ;)
Factorize the following: 9x²+6x+1-25y²
Answers
Answer:
(3x - 5y + 1)(3x + 5y + 1).
Step-by-step explanation:
9x²+6x+1-25y²
= 9x^2 - 25y^2 + 6x + 1
= (3x - 5y)(3x + 5y) + 6x + 1
3x + 3x = 6x and 1 * 1 = 1 so we have:
= (3x - 5y + 1)(3x + 5y + 1)
9x2+6x+1−25y2
.......................... (3x)2+(2x3xx1)+(1)2−25y2
.................................applying Rule (a+b)2=a2+b2+2ab
.(3x+1)2−(5y)2
........................... . (3x+1+5y)(3x+1−5y)
.................................. .... applying Rule a2−b2=(a+b)(a−b)
(-x + 3) + (4x - 10)
Answers
This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.
Answers
Answer:
A = 21 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height between bases and b₁, b₂ are the parallel bases
Here h = 3, b₁ = 9, b₂ = 5 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (9 + 5) = 1.5 × 14 = 21 cm²
M.) A typical tip in a restaurant is 15% of the
total bill. If the bill is $125, what would the
typical tip be?