Answers
Answer:
See attachment.
Step-by-step explanation:
The main part of the function is an absolute value function and so it forms a V with the center of the V at (0,0). The sides of the V go up and over 1 unit at a time. However, since 2 is added to the it outside of the absolute value, the center of the V moves from (0,0) to (0,2). The sides stay the same. The division by 2 changes the sides. The sides move from up and over 1 unit to up 1 unit and over two units. It spreads or widens the graph. Lastly, the interval selects a specific part of the graph only from 0 to 6 on the x-axis. This takes just one side of the V and looks like a line segment. See attachment.
Answer:
We are given a function,
[tex]y=\frac{|x|+2}{2}[/tex] if 0 ≤ x < 6
We need to draw the graph of the function.
We know that Parent function of the given function is Modulus function | x |.
Consider given function,
[tex]y=\frac{|x|+2}{2}[/tex]
[tex]y=\frac{|x|}{2}+\frac{2}{2}[/tex]
[tex]y=\frac{|x|}{2}+1[/tex]
So, the given function is translated 1 unit upward and compressed by factor of 1/2.
So the obtained graph is attached.
Related Questions
Lawrence's parents pay him a base allowance of $20 per week and $3.55 per hour for extra chores he completes. Mrs. Johnson pays Lawrence $7.15 per hour to lifeguard at the city pool. Which equation models Lawrence's total weekly income? A. I = 7.15x ? 3.55y ? 20 c. I = (3.55 + 7.15)x + 20 b. I = (3.55 + 20)x + 7.15y d. I = 3.55x + 7.15y + 20
Answers
Answer:
7.15x + 3.55y + 20 = weekly income
Step-by-step explanation:
7.15x + 3.55y + 20 = weekly income
If y varies directly with x and y = 2 when x = 10, then what is the value of y when x = 40? A. 8 B. 45 C. 200 D. 320
Answers
Answer:
A
Step-by-step explanation:
given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the given condition y = 2 when x = 10
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
y = [tex]\frac{1}{5}[/tex] x ← equation of variation
when x = 40, then
y = [tex]\frac{1}{5}[/tex] × 40 = 8 → A
The value of y when x = 40 with the same proportion will be 8 thus option (A) is correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
If y varies directly with x.
y ∝ x
y = kx
k = y/x
Thus, k will be the same for both conditions.
2/10 = y/40
1/5 = y/40
40/5 = y
8 = y
Hence "The value of y when x = 40 with the same proportion will be 8 ".
For more information about ratios and proportions,
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Elaine has a $350 gift card to Target. Elaine spent $334.50 on a sound bar at Target. If the sales tax is 8%, what was her final bill? Does she have enough money on the gift card to pay for the sound bar?
Answers
Answer:
1) Her final bill: 334,5+ the tax
the tax = 334,5*8/100= 26,76 $
Her final bill = 334,5+ 26,76= 361,26 $
2) The gift card only has 350$ and the bill is 361,26
therefore she doesn't have enough money to pay for the sound bar
Step-by-step explanation:
A student jog the same number of laps each week.9 students jogged 63 laps.How many laps will 13 students jog
Answers
13 students jog 91 laps.
What is the domain of f/g, given f(x)=x+8 and g(x)=x-3?
Answers
[tex]( - \infty ,3 ) \cup (3, \infty )[/tex]
EXPLANATION
The given functions are
[tex]f(x) = x + 8[/tex]
and
[tex]g(x) = x - 3[/tex]
The function,
[tex] \frac{f}{g} = \frac{f(x)}{g(x)} [/tex]
This implies that,
[tex] \frac{f}{g} = \frac{x + 8}{x - 3} [/tex]
The domain of this rational function refers to all values of x for which
[tex] \frac{f}{g} = \frac{x + 8}{x - 3} [/tex]
is defined.
This function is defined if the denominator
[tex]x - 3\ne0[/tex]
[tex]x \ne3[/tex]
In interval form, we write this as,
[tex]( - \infty ,3 ) \cup (3, \infty )[/tex]
The correct answer is C.
Answer: Correct Option is "C"
( - ∞ , 3) U (3, ∞ )
Step-by-step explanation:
The function f/g is defined as
( x + 8) / (x -3)
Domain of the function is the set of values which the independent variable can assume.
Clearly in the above function x cannot assume the value 3, otherwise the function would become undefined.
So domain of the function is
( - ∞ , 3) U (3, ∞ )
Hope it helps.
Thank you.
math help will be marking brainliest
Juan runs an experiment. He flips a coin 20 times. It landed on Heads 13 times and Tails 7 times. Find the experimental probability.
Compare your experimental probability to the theoretical probability of flipping a coin and it landing on heads.
Which of the following statements is true?
Question 5 options:
The theoretical probability is greater than the experimental probability.
The experimental probability is greater than the theoretical probability.
The experimental probability is equal to the theoretical probability.
Can not determine which probability is greater.
Answers
C it the answer because since heads hit 14 times it haves a higher percent of hitting heads again.
What is the measure of Angle 1 and 2? Enter your answer as a number.
Answers
The measure of angles can be in degrees, minutes of arc, and seconds of arc, with the example given (9:00 a.m. clock hands) resulting in a 90-degree angle.
Explanation:The measure of angles is often given in degrees, minutes of arc, and seconds of arc.
These units subdivide a degree into finer measurements, where one degree equals 60 minutes and one minute equals 60 seconds.
One example of using these measurements is in Astronomy, where astronomers measure the angular separation of stars in the sky.
Angles are crucial to understanding the positions and movements of celestial bodies.
Returning to the practice problem provided: 'What is the angle in degrees between the hour hand and the minute hand of a clock showing 9:00 a.m.?', we can calculate this using the understanding that each hour on the clock represents 30 degrees (360 degrees / 12 hours).
At 9:00 a.m., the hour hand is on the 9 and the minute hand is on the 12, creating a 90-degree angle between them.
Write an equivalent expression to 2x + 3 + 5x + 6 by combining like terms then use x=3 to show expressions are equivalent
Answers
Answer:
7x + 9
Yes they are equivalent
Step-by-step explanation:
The first expression given to us is
2x + 3 + 5x + 6
Let us call it equation (i)
Now we have to find equivalent expression to it
the given equation is 2x + 3 + 5x +6
similar terms are terms involving x and not involving x
so solving the equation gives
2x + 5x + 3 +6
= 7x + 9
Now we have two equations one is
2x + 3 +5x + 6 ...............(i)
Other is
7x + 9 ..............(ii)
To check they are equivalent or not
Put x = 3 in equation (i)
2(3)+3+5(3)+6= 6 + 3 + 15 + 6
=30
Now put x=3 in second equation
7(3)+9=21 + 9
=30
As the answer of both the equations are 30 so they are equivalent
To write an equivalent expression to 2x + 3 + 5x + 6 by combining like terms, the expression can be simplified to 7x + 9. Substituting x with 3 in both expressions shows that they have the same value, which is 30.
Explanation:To write an equivalent expression to 2x + 3 + 5x + 6 by combining like terms, we add the coefficients of the like terms. In this case, the like terms are the terms with the same variable, which is x. So, 2x + 3 + 5x + 6 simplifies to 7x + 9. To show that this expression is equivalent to the original expression, we can substitute x with 3. So, when we replace x with 3, both expressions 2x + 3 + 5x + 6 and 7x + 9 result in the same value, which is 30.
Learn more about Combining like terms here:https://brainly.com/question/16601020
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what is the perimeter of triangle with side lengths of 29, 15, and 4xy?
Answers
Answer:
P =44 + 4xy
Step-by-step explanation:
To find the perimeter of a triangle, add up the three sides
P = 29+15+4xy
P =44 + 4xy
What are the coordinates of the midpoint of the segment whose endpoints are A (-1, -2) and B (6, 12)
x-coordinate:
y-coordinate:
Answers
Answer:
Mid point = [tex](\frac{5}{2} ,5)[/tex]
Step-by-step explanation:
We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.
The coordinates of the end points are: A (-1, -2) and B (6, 12).
We know the formula of the mid point:
Mid point = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
So putting in the given values to find the mid point of line segment AB:
Mid point = [tex](\frac{-1+6}{2} ,\frac{-2+12}{2} )[/tex] = [tex](\frac{5}{2} ,5)[/tex]
use the given information to prove that BC=DE
Answers
2. CD = CD , Reflexive Prop.
3. BC = DE, Subtraction Prop.
Question 11(Multiple Choice Worth 5 points) Perform the requested operation or operations. f(x) = 4x + 6, g(x) = 5x2 Find (f + g)(x).
Answers
Answer:
(f + g)(x) = 5x^2 + 4x + 6
Step-by-step explanation:
The given functions are f(x) = 4x + 6 and g(x) = 5x^2
(f + g)(x) = f(x) + g(x)
= 4x + 6 + 5x^2
= 5x^2 + 4x + 6
Thank you.
In quadrilateral LMNO, LO ∥ MN. What additional information would be sufficient, along with the given, to conclude that LMNO is a parallelogram? Check all that apply. ML ∥ NO ML ⊥ LO LO ≅ MN ML ≅ LO MN ⊥ NO
Answers
Answer:
In quadrilateral LMNO, LO ∥ MN.
ML ∥ NO
LO ≅ MN
Answer:
1 & 3 is correct on edg.
a sample of 144 was taken from a population with a standard deviation of 36 inches. In this case the sample mean will be within how many inches of the population mean 99.7% of thew time?
Answers
Answer:
9 inches
Step-by-step explanation:
The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below
The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size
population standard deviation = 36
sample size = 144
standard deviation of the sample mean = 36/ sqrt(144)
=36/12
=3
The margin of error is the number of standard deviations above the mean * the standard deviations
margin of error = 3 * 3
= 9 inches
Answer:
sonk
Step-by-step explanation:
honey p
Please help ASAP!!!
triangle a'b'c' is a dilation of triangle abc. which is the correct description of the dilation?
Answers
Answer: A
Step-by-step explanation:
[tex]\overline{AB}[/tex] has a length of 6
[tex]\overline{A'B'}[/tex] has a length of 6 + 12 = 18, which is 3 times the length of [tex]\overline{AB}[/tex]
B = B' so this will be the center point
⇒ center B and a scale factor of 3
Answer:
Option A is the answer.
Step-by-step explanation:
Triangle A'B'C' is a dilation of triangle ABC.
We can apply the formula to get the scale factor as
Scale factor = [tex]\frac{\text{One side of triangle A'B'C'}}{\text{Corresponding side of triangle ABC}}[/tex]
= [tex]\frac{A'B'}{AB}[/tex]
= [tex]\frac{AB'+AA'}{AB}[/tex]
= [tex]\frac{6+12}{6}[/tex]
= [tex]\frac{18}{6}[/tex]
= 3
Therefore, ΔABC has been dilated with a scale factor of 3 about the point B as the center.
Option A is the answer.
FInd the slope of a line
Answers
Answer:
First I'm not exactly sure what you're asking but the equation for slope is:
Y2-Y1/X2-X1=M
Step-by-step explanation:
M is your slope
X1 and Y1 represent your first point
X2 and Y2 represent your second point
To translate you are finding the rate of change (slope) between two points
Answer: Slope = ∆y/∆x = y2-y1/x2-x1
Step-by-step explanation:
The slope of a line which is also known as the gradient can be gotten by taking the ratio of the change in coordinate of y-axis to the x-axis of the line.
Change in y axis = y2-y1
Where y2 and y1 are final length and initial length respectively on the y axis
Change in x axis = x2-x1
Where x2 and x1 are final length and initial length respectively on the x axis.
The slope of the line therefore gives;
Slope = ∆y/∆x = y2-y1/x2-x1
A six sided number cube is rolled 12 times. An even number is rolled 7 times. What is the experimental probability that an even number is rolled?
Answers
Answer:
The experimental probability is 7/12 or 58.3%
Step-by-step explanation:
In order to find the experimental probability, we just look at the amount of times it happened in our test. The fact that the actual probability is 50% does not matter when looking at experimental numbers.
Help with these questions please!
Answers
Answer:
1. 16
2. -4
Step-by-step explanation:
First factor the expression
lim x→1 (x^3 + 5x^2 + 3x-9)/(x-1)
lim x→1 (x-1) (x+3)^2/(x-1)
Canceling the x-1 in the top and bottom
lim x→1 (x+3)^2
Let x=1
lim x→1 (1+3)^2 = 4^2 = 16
2. lim x→0 (x^2 -6x+8) /(x-2)
First factor the expression
lim x→0 (x-4) (x-2) /(x-2)
Canceling the x-2 in the top and bottom
lim x→0 (x-4)
Let x=0
lim x→0 (0-4) = -4
Filling in the table
x -.1 -.01 -.001 .001 .01 .1
f(x) -4.1 -4.01 -4.001 -3.999 -3.99 -3.9
I know this isn't helpful, but I REALLY need help on this question...
Given: f(x) = x^2 + 7x + 10. From the Rational Root Theorem, we know p=10 and q=1. List all potential roots using the ratio p/q.
A couch weighs approximately 100 pounds. If 40,000 couches are sent to furniture stores, what is the total weight in pounds of the couches?
A) 400,000
B) 4,000,000
C) 40,000,000
D) 400,000,000
23)
Which property explains how we get the equation shown in step 2?
Given: -5(x -4) - 20 = -15
Step 1: -5x + 20 -20 = -15 (Distributive)
Step 2: -5x = -15 (__________________)
Step 3: x = 3 (Multiplicative Inverse)
A) Associative
B) Commutative
C) Additive Inverse
D) Multiplicative Identity
24)
Simplify.
7x + 3(x - 2) - 4x + 8
A) 6x + 2
B) 6x + 14
C) 6x - 2
D) 14x + 2
25)
According to the distributive property, a(5 + b) =
A) 5a + b
B) 5a + ab
C) a(b + 5)
D) 5(a + b)
Answers
Answer:
Step-by-step explanation:
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A. Green Grapes
B. Red Grapes
C. Red and Green Grapes cost the same
Answers
2,008 kilograms of potatoes were packed into sacks weighing 8 kilograms each how many sacks were packed
Answers
Answer:
251
Step-by-step explanation:
2008/8
Answer:
16064
Step-by-step explanation:
2,008 x 8= 16064
Elvie can type 4,200 words in 30 minutes givr the ratio of the time in minutes to the number of words
Answers
Answer:
30:4,200
Step-by-step explanation:
URGENT. Please help me!! 30 points :))
Answers
Answer:
<T = 83
Step-by-step explanation:
In a parallelogram <M = < P and < N = <T (opposite angles are congruent)
We also know that <M + <N = 180 ( consecutive angles are supplementary)
<M + <N = 180
6x+10 + 5x+10.5 = 180
Combine like terms
11x+20.5 = 180
Subtract 20.5 from each side
11x +20.5-20.5 = 180-20.5
11x = 159.5
Divide each side by 11
11x/11 = 159.5/11
x=14.5
We can find <N
<N = 5x+10.5
= 5(14.5)+105
=72.5 +10.5
= 83
<N = <T = 83
please help will give brainliest
What is the period of the function f(x) shown in the graph?
Answers
Answer:
The period is [tex]\pi[/tex].
Step-by-step explanation:
The answer is determined by finding the length of 1 cycle of the function. Trig functions sine and cosine have a wavy form. One starts and ends int he middle - sine. The other starts above and stops above- cosine. Regardless of the function, the period will be the same because the period asks "how fast does this function complete 1 wave?"
If cosine we start at one of the top points, trace the graph till we reach the same y-value again. The period is the time or difference in x-values. For instance if I started at the x-value [tex]\frac{\pi }{2}[/tex] and ended at [tex]\frac{3\pi }{2}[/tex] then I'd subtract them.
[tex]\frac{3\pi }{2}[/tex]-[tex]\frac{\pi }{2}[/tex]=[tex]\frac{2\pi }{2}[/tex]=[tex]\pi[/tex]
The period is [tex]\pi[/tex].
PLZZZZZZZZZZZZZZZZZZZZZ ANSWER IF ANSWERED YOU GET 98 POINTS HURRY!!!!!!!!!!!!!!!!!!
Answers
Answer:
y = 3x + C
y = mx + 5
y = 3x + 5
Step-by-step explanation:
A. The standard form for lines with slope = 3 is
y = 3x + C where C is the y-intercept and can be any number
B. The standard form for lines with y-intercept = 5
y = mx + 5 where m is the slope and can be any number
C. The only line with slope = 3 and y-intercept =5
y = 3x + 5
There is only one line because both m and C are given.
Answer:
Step-by-step explanation:
a is y=3x+c; c is the y-intercept
b is y=mx+5; m is the slope
c is y=3x+5 as it is the only line with both slope = 3 and y-intercept =5
Algebra II Please Help
Answers
[tex] {s}^{2} = 2gh[/tex]
[tex] {23}^{2} = 2 \times 32 \times h[/tex]
[tex]h = \frac{ {23}^{2} }{64} = 8.2[/tex]
Answer is A, approximately 8 feet
What is the value of Y who knows please help me
Answers
Answer:
y =65
Step-by-step explanation:
We will call the unknown angle in the triangle x
Angle x plus 130 form a straight line
x+130 = 180
Subtract 130 from each side
x+130-130 = 180-130
x = 50
The three angles in the triangle add together to make 180 degrees
x+y+y = 180
We know angle x = 50
50 + 2y = 180
Subtract 50 from each side
50+2y-50 = 180-50
2y = 130
Divide each side by 2
2y/2 = 130/2
y = 65
The union of sets P = {1, 2, 3, 4, 5, 6} Q = {4, 5, 6, 7, 8, 9} is given by which of the following?
{1, 2, 3, 4, 5, 6, 7, 8, 9}
{1, 2, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9}
ø
{4, 5, 6}
Answers
Answer:
The first one, because the x values are not repeated in a data set.
given the height, h, and the volume V of a certain cylinder, alex uses the formula r=√v/πh to compute its radius, r, to be 10 meters. a second cylinder has the same volume as the first cylinder, but is 25 times taller. what is the radius of the second cylinder?
a). 2/5 meter
b). 2 meters
c). 50 meters
d). 250 meters
Answers
[tex]r \: = \: \sqrt{ \frac{v}{\pi .h} } \: = \: 10 \: m[/tex]
[tex] {r}^{.} \: = \: \sqrt{ \frac{v}{25h\pi} } \: = \: \frac{1}{5} \sqrt{ \frac{v}{\pi.h} } \: = \: \frac{10}{5} \: m \: = \: 2 \: m[/tex]
What is the length of GH? ______cm
Answers
Area = 60cm^2
Length = 4
Width = GH = ? = x
60 = 4*x
solve for x
60/4 = x
x = 15
GH is 15cm