When the function y=x is changed to y=|x|, how is the graph affected?
A. All points for x 0 are reflected over the line y=x.
B. All points for x 0 are reflected over the line y=x.
D. All points for x > 0 are reflected over the x-axis.
Answer:
First, the function:
y = x
Is:
Positive if x > 0
Negative if x < 0
Now, on another hand, the function y = IxI is:
Positive if x < 0
Positive if x > 0.
Then the only part that changes is the negative side of the domain, and the thing that changes is the sign (the change of sign is equivalent to a reflection over the x-axis or the line y = 0".
Then the correct option is:
"All points for x < 0 are reflected over the x-axis"
I suppose that this is option C, the missing one.
Luke's retirement party will cost $30 if he invites 6 guests. What is the maximum number of
guests there can be if Luke can afford to spend a total of $35 on his retirement party? Solve
using unit rates.
guests
Submit
Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)
First find the equation of y.
[tex]y=mx+n=\frac{\Delta y}{\Delta x}x+n[/tex]
Find the slope m.
[tex]m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1[/tex].
Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.
[tex]9=1(-3)+n\implies n=12[/tex].
The equation of a line y is:
[tex]y=x+12[/tex].
The perpendicular line [tex]y_{\perp}[/tex] is same like the normal line except its slope m becomes:
[tex]k=-\frac{1}{m}=-1[/tex].
The equation of a perpendicular bisector is thus:
[tex]y_{\perp}=-x+12[/tex].
Hope this helps.
Answer:
[tex]y = \frac{1}{2} x + 3[/tex]
Step-by-step explanation:
Using the given points, first find the slope:
m = (₂ - y₁) / (x₂ - x₁)
= (5 - 9) / (-1 - (-3))
= -4 / 2
= -2
Find y-intercept by using anyone of the give points and slope from above:
y = mx + b
5 = -2(-1) + b
5 = 2 + b
b = 3
With the m and b, you can make equation of line:
y = mx + b
y = -2x + 3
To find the perpendicular slope, make it opposite and inverse it.
m = -2 becomes 1/2
Regular equation of line:
y = -2x + 3
Perpendicular equation of line:
[tex]y = \frac{1}{2} x + 3[/tex]
Which mathematical property is demonstrated?
5x7x4=5x4x7
Answer:
Communitive Property of Multiplication
Explanation:
The communitive property means that you can switch the numbers in any order and you will get the same answer.
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Miss Sally waited on a large party at the Chesterfield Restaurant. The party bill totaled $110.00. As the party was pleased with the service they received, the tipped Miss Sally 20%. What amount did Miss Sally receive as her tip? Explain your answer.
quick math question, please help^^
Answer:
x= 81
Step-by-step explanation:
see attached the solution
Mrs. Stokes solved the equation shown below. Select the correct justification for each step shown.
-3(8x-2)=9-21x Original equation
8x-2=-3+7x
8x+1=7x
1=-x
-1=x
Answer:
Below in bold
Step-by-step explanation:
-3(8x - 2) = 9 - 21x
~Divide -3 to everything
8x - 2 = -3 + 7x
~Add 3 to both sides
8x + 1 = 7x
~Subtract 8x to both sides
1 = -x
~Divide -1 to both sides
-1 = x
Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.
Best of Luck!
Below in bold
Step-by-step explanation:
-3(8x - 2) = 9 - 21x
~Divide -3 to everything
8x - 2 = -3 + 7x
~Add 3 to both sides
8x + 1 = 7x
~Subtract 8x to both sides
1 = -x
~Divide -1 to both sides
-1 = x
Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.
Best of Luck!
The temperature dropped 5°C every hour for 6 hours. What was the total number of degrees the
temperature changed in the 6 hours?
The total change in the temperature was
Over the course of a month, Katniss caught three times as many squirrels as deer. She also caught five less rabbits than squirrels. The total number of animals she caught is ten more than four times the number of deer caught. How many rabbits did Katniss catch? Help steps
Answer:
10 rabbits
Step-by-step explanation:
Let us represent
Number of rabbits = x
Number of squirrels = y
Number of deer = z
Katniss caught three times as many squirrels as deer.
y = 3z
She also caught five less rabbits than squirrels.
y = x - 5
The total number of animals she caught is ten more than four times the number of deer caught.
x + y + z = 4 × z + 10
x + y + z = 4z + 10
How many rabbits did Katniss catch?
Number of rabbits = x
We make x subject of the formula
x + y + z = 4z + 10
x = 4z + 10 - y - z
y = 3z
x = 4z + 10 - 3z - z
x = 4z - z - 3z + 10
x = 4z - 4z + 10
x = 0 + 10
x = 10
Therefore, the number of rabbits Katniss caught is 10 rabbits
Really hard geometry problems. Please help!
Answer: For #3 the answer is 48 degrees, #4 is 70 degrees
Step-by-step explanation:
3. CGA and BGD are verticle angles which means they are congruent, and (2x-10)+(x+4)+(x+10) is 180. Which gives you X=44, then you substitute x into x+4 which gives you 48.
4. CEB and BED are supplementary which means they make up 180. BED and CEA are verticle angles which means they are congruent. We know CEB is 110 which means BED is 70 because 180-110=70. BED and CEA are verticle angles which means CEA is also 70 degrees
Answer:
i think #3 is 93 and #4 is 70
Step-by-step explanation:
a full circle is equal to 360
for #3, i used the equation (2x-10) + (x+4) + (x+10) = 360
combine all like terms and get 4x + 4 = 360
subtract 4 from both sides
4x + 4 = 360
4x = 356
divide 4 from both sides
x = 89. from here put 89 where x is . angle BGD and angle CGA are the same so 89 + 4 = 93
for #4, use the equation 45 + 3x - 19 = 110
combine like terms and get 26 + 3x = 110
subtract 26 from both sides and then divide by 3
3x = 84
x = 28
place 28 where x is and find the matching angle which is 70.
HOPE THIS HELPS!!
The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?
5th grade=6
6th grade=4
7th grade=5
8th grade=3
Answer:
2 : 9
Step-by-step explanation:
First find the total number
6+4+5+3 = 18
6th graders : total
4 : 18
Divide each side by 2
4/2: 18/2
2 : 9
What is 3/2
5= Pls help me i have no clue and i have a math test soon pls help me
Answer:
15/2
Step-by-step explanation:
You have 3/2 5so you do 3 x 5 which is 15 then you have the answer. You keep the bottom number the same always
Find the inverse of the given function.
(f) = -5x-9
Answer:
x=-4
Step-by-step explanation:
Answer: -x+9/5
Step-by-step explanation:
find the 2nd and 3rd term of the sequence -7, _, _, -22, -27
Answer:
-12,-17
Step-by-step explanation:
I just added five to each of the numbers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP WILL MARK BRAINLISTTT
Answer:
Y=8
ST=31
RT=81
Step-by-step explanation:
;)
Only 5,7,9 and 11.
d(x) = |x| – 4
m(x)= |x+1|
p(x)= 1/3 |x|
a(x)= -5|x|
Please help!!!!!!!!
Answer:
I don't no the answer so please ask from another guys
Step-by-step explanation:
30 POINTS!!
HELP ME PLZZ THIS IS DUE TOMRROW !!!
Answer:
Commutative property
Step-by-step explanation:
Erica plays 6 songs in 1/4 of an hour. How many would she play in 1 hour?
Answer:
24 songs
Step-by-step explanation:
4 × 6 = 24 songsI hope this helps!
John's phone company offers 2 cell phone plans, A and B. Both plans offer 450 free minutes per month, but plan A charges $40 per month and $0.35 for each additional minute, while plan B charges $45 per month and $0.30 for each additional minute. Which inequality shows the number of minutes, x, that John may use in a month in order to make plan B the better plan for that month?
A.
40 + 0.35(x − 450) 45 + 0.30(x − 450)
D.
40 + 0.35x > 45 + 0.30x
Answer: 45 + 0.30(x-450) > 40 + 0.35(x-450)
Step-by-step explanation:
Given: Free minutes = 450
For plan A,
Fix charge = $40
Charge per minute after free minutes = $0.35
For plan B,
Fix charge = $45
Charge per minute after free minutes = $0.30
Let x be the additional minutes.
Charges according to plan A = 40 + 0.35(x-450)
Charges according to plan B = 45 + 0.30(x-450)
If plan B is better than plan A.
45 + 0.30(x-450) > 40 + 0.35(x-450)
Required inequality : 45 + 0.30(x-450) > 40 + 0.35(x-450)
Please answer correctly, work is optional.
what is the unit rate of 1/4 kilometer in 1/3 hour
Answer:
3/4 km in 1 hour
Step-by-step explanation:
You divide to find unit rate.
1/4 divided by 1/3 is
1/4 x 3/1 = 3/4
3/4 kilometers in 1 hour
Hope this helps :)
The required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.
Given that,
To determine the unit rate of 1/4 kilometer in 1/3 hour.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is the rate of change?The rate of change is defined as the change in value with the rest of the time is called rate of change.
Here,
The unit rate of 1/4 kilometer in 1/3 hour,
Rate = (1 / 4 kilometer) / (1 / 3 hour)
Rate = 1 / 4 / 1 / 3
Rate = 3 / 4 Kilometer per hour.
Thus, the required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Just need a answer to this
Answer:
the answer is b 1.4
Step-by-step explanation:
the answer is b , 1.5
Austin is building a shed based on blueprints he found online. The scale on the blueprints is 1 inch to 24 inches. If the shed’s window in the blueprints is 1.5 inches wide by 0.75 inches tall, what size window should he buy?
18 inches wide by 9 inches tall
24 inches wide by 12 inches tall
36 inches wide by 18 inches tall
60 inches wide by 36 inches tall
6 ten thousands 2 thousands 7 hundreds 8 tens 9 ones
Answer:
62789
Step-by-step explanation:
Consider the following Expression.
3(x+2)=-5-2(x-3)
What is the value of x?
this is
the equation on the math
6. L
A machine can make 56 parts in 4 hours. It
can also make 70 parts in 5 hours. Write an
equation that relates the number of parts
the machine can make and the time in
hours. Predict how many parts the machine
can make in 9 hours, 30 minutes.
Answer:
133
Step-by-step explanation:
56/4=14 and 70/5=14. 14 x 9 = 126
30 mins is half of an hour which means you need to divide 14 by 2 which gives you 7.
126 + 7 = 133
133 parts the machine can make in 9 hours, 30 minutes.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A machine can make 56 parts in 4 hours.
56=4x
A machine can also make 70 parts in 5 hours.
70=5x
Now we need to write an equation that relates the number of parts
the machine can make and the time in hours.
14=x
Now, we need to find parts the machine can make in 9 hours, 30 minutes.
14 x 9 = 126
As 30 minutes is half an hour, so divide 14 by 2 we get 7
126 + 7 = 133
Hence 133 parts the machine can make in 9 hours, 30 minutes.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
An automobile's radiator has a capacity of fifteen quarts, and it currently contains twelve quarts of a thirty percent antifreeze solution. How many quarts of antifreeze are currently in the radiator?
Answer:
3.6 quarts.
Step-by-step explanation:
just take 30% of 12 which is 3.6
(I just did the assignment and got 100, so dw.)
\sqrt{\frac{V}{\pi h}}
Answer;
I if you dont have a question the dont
put random stuff like this but n Stot trying to be rude or mean im just saying what is needed to be said???
Rosa bought d drawings to and art show. After selling 14 of them she had 34 left. Identify the equation that represents this situation and the correct solution
Answer:
14+34=d hope this helps
Juan read 300 pages in 5 days. Which reading rate is equivalent?
A.) 150 pages in 3 days
B. )120 pages in 2 days
C.) 105 pages in 1 day
D.) 100 pages in 3 days
Answer:
A: 150 pages in 3 days
Step-by-step explanation: