What is the graph of y = 3jx|?
Ο Α.
5
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Note: Your question sounds a little unclear and incomplete. I assume you want to get the idea about the graph of 3|x|. My answer may still clear your concept about the graphs.
Answer:
The graph of y=3|x| is attached below.
Step-by-step explanation:
Given the function
[tex]y=3\left|x\right|[/tex]
Determining the domain:
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
The function has no undefined points nor domain constraints. Therefore, the domain is:
[tex]-\infty \:<x<\infty \:[/tex]
Determining the range:
We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
[tex]\mathrm{The\:range\:of\:an\:absolute\:function\:of\:the\:form}\:c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=0[/tex]
[tex]f\left(x\right)\ge \:0[/tex]
Thus,
[tex]\mathrm{Range\:of\:}3\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Determining the x-intercept and y-intercept:
From the graph, it is clear that at x=0, y=0. Therefore, the y-intercept is (0, 0)From the graph, it is clear that at y=0, x=0. Therefore, the y-intercept is (0, 0)The graph of y=3|x| is attached below.
Someone please Help??
solve for "x" : 2x + 3x + 4x =36
Answer:
4
Step-by-step explanation:
2x + 3x + 4x = 36
Evaluate like terms.
9x = 36
Find x.
x = 36 ÷ 9
x = 4
Answer:
b) 4
Step-by-step explanation:
2x+3x+4x=36
=5x+4x=36
=9x=36
x=36/9
x=4
Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Cindy?
Answer:
70
Step-by-step explanation:
It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70
Hope this helped!
Please help I’ll give you brainliest
Jim's timecard is below. For each day figure out the total hours he
worked (a-e), and find the total number of hours he worked for the week. Please help
TOTAL
OUT
4:30
5:00
a.
b.
Monday
Tuesday
Wednesday
Thursday
Friday
IN
8:30
8:30
8:30
8:00
8:30
OUT
11:30
12:30
11:30
12:00
11:30
IN
12:30
1:00
12:00
12:30
12:30
C.
d.
6:00
6:30
7:30
Total
e.
f.
Answer:
a. 7
b 8
c 9
d 10
e 10
f 44
Step-by-step explanation:
find the slope from the graph. (3,-1) (0,-3)
Solve and Graph: 12 – ⅔ x > 6
Answer:
There's the graph
But the answer is x<9
X is all values below 9.
The lines represented by the equations y = 1x – 5 and 3y + x = -15 are
O
parallel
Submit Answer
the same line
neither parallel nor perpendicular
perpendicular
Answer:
Neither parallel nor perpendicular
Step-by-step explanation:
The lines represented by the equations y = 1x – 5 and 3y + x = -15 are .....
Solve for y in 3y + x = -15.
[tex]3y + x = -15 \\ \frac{ - x = - x}{3y = - x - 15} \\ \\ \frac{3y = - x - 15}{3 \: \: = \: \: \: \: \: \: \: \: \: 3} \\ y = - \frac{1}{3}x - 5[/tex]
[tex]y = - \frac{1}{3}x - 5 \: and \: y = 1x - 5[/tex]
[tex]I need help can someone help? I’m really stuck and it’s so really soon! I need to show my work[/tex]
What is an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x + y = 1?
An equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
Given that, the equation of a line is 2x+y=1 and the coordinate point is (-2, 2).
What is an equation of the line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.
In the equation of a line 2x+y=1, slope is 2.
As we know the slopes of parallel lines are equal, that is m1=m2.
Now, put (-2, 2) and m=2 in y-y1=m(x-x1) and simplify.
That is, y-2=2(x+2)
⇒ y-2=2x+4
⇒ y=2x+4+2
⇒ y=2x+6
Therefore, an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
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please please help i’ll give brainliest tysm:))
A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 28, 29, 40, 41, 28, 34. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die
Solution :
The objective of the study is to test the claim that the loaded die behaves at a different way than a fair die.
Null hypothesis, [tex]$H_0:p_1=p_1=p_3=p_4=p_5=p_6=\frac{1}{6}$[/tex]
That is the loaded die behaves as a fair die.
Alternative hypothesis, [tex]$H_a$[/tex] : loaded die behave differently than the fair die.
Number of attempts , n = 200
Expected frequency, [tex]$E_i=np_i$[/tex]
[tex]$=200 \times \frac{1}{6} = 33.333$[/tex]
Test statistics, [tex]$x^2= \sum^6_{i=1} \frac{(O_i-E_i)^2}{E_i} $[/tex]
[tex]$=\frac{(28-33.333)^2}{33.333}+\frac{(29-33.333)^2}{33.333}+\frac{(40-33.333)^2}{33.333}+\frac{(41-33.333)^2}{33.333}+\frac{(28-33.333)^2}{33.333}+$[/tex][tex]$\frac{(34-33.333)^2}{33.333}$[/tex]
≈ 5.8
Degrees of freedom, df = n - 1
= 6 - 1
= 5
Level of significance, α = 0.10
At α = 0.10 with df = 5, the critical value from the chi square table
[tex]$x^2_{\alpha}= \text{chi inv}(0.10,5)$[/tex]
= 9.236
Thus the critical value is [tex]$x_{\alpha}^2=9.236$[/tex]
[tex]$P \text{ value} = P[x^2_{df} \geq x^2]$[/tex]
[tex]$=P[x^2_5\geq 5.80]$[/tex]
= chi dist (5.80, 5)
= 0.3262
Decision : The value of test statistics 5.80 is not greater than the critical value 9.236, thus fail to reject [tex]$H_o$[/tex] at 10% LOS.
Conclusion : There is no enough evidence to support the claim that the loaded die behave in a different than a fair die.
8 - 10 is the same as
A. -8 + -10
B. 8 + (-10)
C. -8 + 10
D. 8 + 10
please solve this equation and show work 4y−70=12y+2
Answer:
Step-by-step explanation:
Simplifying 4y + -70 = 12y + 2
Add -12y to each side of the equation. -70 + 4y + -12y = 2 + 12y + -12y
Add 70 to each side of the equation. -70 + 70 + -8y = 2 + 70
Divide each side by -8.
So y = -9 is your answer.
Hope I Helped!!!
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest. Lin read the first 54 pages from a 270-page book in the first 3 days. Diego read the first 100 pages from a 320-page book in the first 4 days. Elena read the first 160 pages from a 480-page book in the first 5 days. If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning:
Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
Step-by-step explanation:
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.
Their rates is calculated as:
For Lin
Lin read the first 54 pages from a 270-page book in the first 3 days.
54 pages = 3 days
270 pages = x
Cross Multiply
54x = 270 × 3
x = 270 × 3/54
x = 15 days
For Diego
Diego read the first 100 pages from a 320-page book in the first 4 days.
100 pages = 4 days
320 pages = x days
Cross Multiply
100x = 320 × 4
x = 320 × 4/100
x = 12.8 days
For Elena
Elena read the first 160 pages from a 480-page book in the first 5 days.
160 pages = 5 days
480 pages = x days
Cross Multiply
160x = 480 × 5
x = 480 × 5/160
x = 15 days
If they continue to read every day at these rates, who will finish first, second, and third?
Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time
Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
please help me like i really don't understand this and i really need help
Answer:
Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.
A'(-5, -2.5)B'(2.5, 5)C'(5, -10)Step-by-step explanation:
Given the vertices of ΔABC
A(-2, -1)B(1, 2)C(2, -4)Given that ΔA'B'C' is a dilation of ΔABC with a scale factor of 2.5 and the center of dilation (0, 0).
We know that when the scale factor > 1, then the image is enlarged.
The formula to determine the dilation with a scale factor of 2.5.
P(x, y) → P'(2.5x, 2.5y)
Here, P' is the image of P, and the vertices of the image is dilated by a scale factor of 2.5.
In other words, the vertices of the image can be obtained by multiplying the vertices of the original triangle with 2.5.
Thus,
P(x, y) → P'(2.5x, 2.5y)
A(-2, -1) → P'(2.5(-2), 2.5(-1)) = A'(-5, -2.5)
B(1, 2) → B'(2.5(1), 2.5(2)) = B'(2.5, 5)
C(2, -4) → C'(2.5(2), 2.5(-4)) = C'(5, -10)
Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.
A'(-5, -2.5)B'(2.5, 5)C'(5, -10)Find the distance between 5 + 4i and 9 + 3i.
Answer:
Distance = √17
Step-by-step explanation:
We are looking for the distance between 5 + 4i and 9 + 3i.
This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)
Distance between the 2 points will be;
D = √[(5 - 9)² + (4 - 3)²]
D = √(16 + 1)
D = √17
HELP ILL GIVE BRAINLIEST AND POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent
1. from 60 to 48
2. from 180 to 108
3. from 64 to 24
4. from 6.5 to 4.8
5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.
Answer:
Hey, ill do like 2 and you can do the rest
percent decrease or change is
new-old over old
So like #1
1) 60 is old, 48 is new
so 48-60=-12
now over old which is 60
-12/60
-1/5
20 percent decrease
2) 180 is old, 108 is new
108-180=-72
-72/180
40 percent decrease
Step-by-step explanation:
the answer for:
Consider the quadratic equation x^2 - 6x - 16 = 0.
A. Solve the equation, and discuss how the type of roots affects the appearance of the graph of the function y = x^2 - 6x - 16.
B. What is the vertex of the graph of x^2 - 6x - 16 = 0?
C. What is the equation of the axis of symmetry?
D. Use this information to draw a rough sketch of the graph of the function.
Answer:
A. Solution=(x-8)(x+2),Zeros are 8,-2
The integer coefficient of x² is >1 and so the graph which is a parabola,curves downward and opens upward
B. The vertex or turning point is the minimum point =-b/2a=-(-6)/2(1)=3
f(3)=(3)²-6(3)-16=-25
the vertex occurs at y=-25
C. Equation of the axis of symmetry =-b/2a
which is x=3
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
It would be the 2nd one because 15+27=42 and that is less than 44 which should be more
Step-by-step explanation:
Me and my daughter are having a disagreement on this question, I would appreciate the help.
Answer:
(4t - 8/5) - (3 - 4/3t) = 16/3t - 23/5
5(2t + 1) + (-7t + 28)= 3t+33
(-9/2t +3) + (7/4t + 33) = -11/4c+56
3 (3t-4) - (2t + 10)= 7t -22
Sooo Sorry that it took soooo long! Hope this helps!!!
Happy holidays!!
Mrs. Malone has $75 to buy volleyball for lincoln Middle School. How many can she buy at $9 each?
Answer:
8porque9x8da72
Step-by-step explanation:
a
Answer:
Step-by-step explanation:
To find the number of volleyballs she can buy all you have to do is divide 75 by 9 which gives you 8.3333333 So she can buy approximately 8 volleyballs with 3 dollars to spare. You could also just multiply 9 by 8 to check your answer wich gives you 72 dollars
one bucket of gravel has a mass of 7.05 kg. what is the mass of 20 buckets of gravel in kilograms?
The weight of 20 buckets is 141 Kg.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
weight of 1 bucket of gravel = 7.05
weight of 20 buckets = 7.05 x 20
= 141 Kg
Hence, the weight of 20 buckets is 141 Kg.
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Anna sells candy apples at her yard sale. She wants to earn more than $40. She sells the apples for $2 and has earned $26. How many apples does she need to sell to reach her goal?
Answer:
7 apples
Step-by-step explanation:
40 - 26 = 14
14 / 2 = 7
I need help with those 2 the rest I know. I just don’t know what that means.
Answer:
What are the problems?
Step-by-step explanation:
simplify polynomial expressions with multiplication:
(8p-7)(5p^2+7p-3)
Answer:
-2p3 • (62p2 + 72p - 143)
Step-by-step explanation:
what is 6÷102??
for math
PLEASE HELPP!! (10 points)
Answer:
D.0.58
Step-by-step explanation:
Answer:
The answer is the 4th option: 0.58
Step-by-step explanation:
Absolute value is how far away that number is from the numberline.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
100 POINTS PLEASE HELP!!!!
Problem-solving Tickets for 2 adults and 4 children at a theme park cost £152.
An adult ticket costs twice as much as a child ticket.
Write and solve an equation to work out the price of an adult ticket.
Answer:
Apply the problem-solving method to solve problems involving tickets with ... How many student tickets and how many adult tickets were sold? ... Step 4. Translate: Write the equation by adding the total values of each type of ticket. ... We find the total value of each type of ticket by multiplying the number of tickets times its ...
Step-by-step explanation:
Ticket Problems: algebra word problems involving tickets, how to solve ticket word ... for distinguishing between quantity and value in this type of word problems. ... The cost of tickets for a play is $3.00 for adults and $2.00 for children . ... Use Substitution Method ... A child's ticket costs $6.00 and an adult's ticket costs $10.00.
Two friends shop for fresh fruit. Jackson buys a watermelon for $6.85 and 5 pounds of cherries. Tim buys a pineapple for $3.35 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more spent.
Answer:
3.5 + p
Step-by-step explanation:
Jackson:
Watermelon = $6.85
Cherries = 5p
Total spent = 6.85 + 5p
Tim:
Pineapple = $3.35
Cherries = 4p
Total = 3.35 + 4p
Where,
P = price per pound of Cherries
how much more spent?
Jackson's total spent - Tim's total spent
= 6.85 + 5p - (3.35 + 4p)
= 6.85 + 5p - 3.35 - 4p
= 3.5 + p