Given that D( x ) = 2 x , select all of the following that are true statements.
D( x ) is a direct variation.
D( x ) is a function.
D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4).
x is the dependent variable.
D(6) = 3
Answer:
3rd
Step-by-step explanation:
Answer:
D(x) is a function. TRUE. It is a function of x.
x is the dependent variable. FALSE. x is the independent variable because the function is expressed in terms of the independent variable.
D(6) = 3. FALSE. D(6) = 2(6) = 12. D(6) should be equal to 12.
D(x) is a direct variation. TRUE. This holds true to the definition of direct variation where one variable is related to the other variable at the same constant multple. In this case, it is 2.
D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). TRUE. If you replace x with the first coordinate, the function would be equal to the corresponding second coordinate.
Step-by-step explanation:
A won a race at the local fair by running 10.5 miles in exactly 2 hours. At this constant rate, how long does it take the same dog to run the 21 mile state fair race? Use ratio reasoning to solve. * 1 point
Answer:
The dog will run the 21-mile race in 4.04 hours
Step-by-step explanation:
The first thing we need to do is find out how far he ran the race at the local fair in 1 hour.
To do this, we can set up a simple relationship:
If he ran 10.5 miles in 2 hours,
He will run x miles in 1 hour
Cross multiplying, we have
x = (10.5 X 1)/2 = 5.25 miles in 1 hour.
We can now comfortably say that he runs at the rate of 5.2miles/hr
He now goes to the state fair race, which is 21 miles long.
if he runs at the rate of 5.2 miles in 1 hour,
He will run 21 miles in y hours
y = 21 / 5.2 = 4.04 hours
The dog will run the 21-mile race in 4.04 hours
Isabella is deciding between two parking garages. Garage A charges an initial fee of
$4 to park plus $3 per hour. Garage B charges an initial fee of $12 to park plus $2 per
hour. Let A represent the amount Garage A would charge if Isabella parks for t
hours, and let B represent the amount Garage B would charge if Isabella parks for t
hours. Write an equation for each situation, in terms oft, and determine the hours
parked, t, that would make the cost of each garage the same.
Answer:
i. A = 4 + 3t .......... 1
B = 12 + 2t .......... 2
ii. The hours required would be 8 hours.
Step-by-step explanation:
The charges at each of the garages can be expressed as;
i. For garage A,
A = 4 + 3t .......... 1
ii. For garage B,
B = 12 + 2t .......... 2
where A is the amount charged at garage A, B is the amount charged at garage B, and t is the number of hours.
To determine the number of hours parked that would make the cost of each garage the same.
Let:
equation 1 = equation 2
4 + 3t = 12 + 2t
collect like terms
3t - 2t = 12 - 4
t = 8
The hours that would make the cost of each garage the same is 8 hours.
Which one does not belong?
A. 3x
B. 8x
C. 3
D. -5x
Answer:
--5x
Step-by-step explanation:
Hiii I need help guysss tyyy and also need to plot points TYSM
Answer:
6x+10
Step-by-step explanation:
6 left and go up 10 and thats the point
What is the value of the expression , 10 + (2x3) 2 : 4 x (1/2)
Given:
The expression is
[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]
To find:
The value of the expression.
Solution:
We have,
[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]
It can be written as
[tex]=\dfrac{10+(2\times 3)^2}{4\times \dfrac{1}{2}}[/tex]
[tex]=\dfrac{10+(6)^2}{2}[/tex]
[tex]=\dfrac{10+36}{2}[/tex]
[tex]=\dfrac{46}{2}[/tex]
[tex]=23[/tex]
Therefore, the value of the given expression is 23.
someone help pleasee
Answer:
Option (3)
Step-by-step explanation:
If the sides of a triangle are unequal then the measure of sides opposite to these angle will be in the order from least to greatest.
In ΔABC,
m∠CAB = 180°- (m∠B + m∠C)
= 180° - (25° + 27°)
= 180° - 52°
= 128°
Since, ∠CAB > ∠ABC ∠ACB
Therefore, a > b > c ---------(1)
Now from ΔADB,
m∠BAD + m∠ADB + m∠DBA = 180°
32° + m∠ADB + m∠35° = 180°
m∠ADB = 180° - 67°
= 113°
Since, m∠ADB > m∠DBA > m∠BAD
Therefore, c > d > e -------(2)
Combining both the inequalities,
a > b > c > d > e
Option (3) will be the answer.
What is the slope of a line perpendicular to the line whose equation is x - 3y = -18. Fully reduce your answer.
Given:
Equation of a line is
[tex]x-3y=-18[/tex]
To find:
The slope of the line perpendicular to the given line.
Solution:
The slope of the equation [tex]ax+by=c[/tex] is
[tex]Slope=-\dfrac{a}{b}[/tex]
We have,
[tex]x-3y=-18[/tex]
Here, a=1, b=-3. So, slope of this line is
[tex]m_1=-\dfrac{1}{-3}[/tex]
[tex]m_1=\dfrac{1}{3}[/tex]
Product of slopes of two perpendicular lines is -1.
Let slope of perpendicular line is [tex]m_2[/tex].
[tex]m_1\cdot m_2=-1[/tex]
[tex]\dfrac{1}{3}\cdot m_2=-1[/tex]
[tex]m_2=-3[/tex]
Therefore, the slope of the perpendicular line is -3.
Can someone help me plz and thank u
Answer:
<A = 44
Step-by-step explanation:
A triangle is 180 degrees
(x+59) + (x+51) + 84 = 180 >> add everything on the left side
2x + 194 = 180 >> subtract both sides by 194
2x = -14 >> divide both sides by 2 to get x alone
x = -7
since you are finding A<, substitute
<A = x + 51
<A = (-7) + 51
<A = 44
Which college is better?
Harvard
Yale
Stanford
Princeton
Answer:
yale
Step-by-step explanation:
harvard overrated
Answer:it is a personal opinion
Step-by-step explanation:
each school has its goods and bads. I personally would chose Stanford or Princeston because I haven't heard that many bad things from there and has great education. hope this helps
1) three times a number is equal to thirty
Answer:
10!!
Step-by-step explanation:
10 x 3 = 30
10 + 10 + 10 = 30
(4-8)( 12, 8)
Write the equation of a line using slope intercept form
Answer:
y=2x-16
Step-by-step explanation:
so gradient is 8-(-8)/ 12-4
so 16/8 which is 2
equation of line is: y= 2x+c
substitute the values into x,y
8=2(12)+c
8=24+c
8-24=c
-16= C
this is because when it goes over the equal sign it becomes negative so now the equation is y=2x-16
Answer:
Y=2x+16
Step-by-step explanation:
Please help! Thank you!
uhhh please help lol
Answer: c
..........................
How does the risk of needing insurance impact the cost of premiums? O A. In some cases, higher risk results in lower costs. B. Higher risk always results in lower costs. C. Higher risk always results in higher costs. In some cases, higher risk results in higher costs.
Answer:
A
Step-by-step explanation:
PLEASE HELP, WILL MARK YOUR ANSWER
Answer:
Your answer is B
Oh and have a nice day and stay safe!
- all love from jen <3
Answer:
The answer should be B. [tex]\frac{2\sqrt{3ef}}{3f}[/tex]
Step-by-step explanation:
Write a ratio and a percent for the shaded area.
3/10, 27%
1/2, 50%
1/3, 33.33%
3/10, 30%
PLEASE HELP ME IVE BEEN STUCK BECAUSE I THOUGHT THAT 12/60 WAS 1/5 SIMPLIFIED??
Answer:
1/3, 33.33%
Step-by-step explanation:
The full square is 6x6 which means there are 36 tiles in total. The shaded area is 3x4 which is 12. 12/36 is 1/3 simplified or 33.33%.
Answer:
1/3 and 33.33℅
Step-by-step explanation:
total number of rectangles is 36 and the shaded are 12
so 12/36 =1/3
1/3= 0.3333
to change to percent we multiply by 100
0.3333×100℅ = 33.33℅
Seth is analyzing the number of students in his class and high school who own skateboards. He puts
the data in the table shown. Given the information in the table, which event is the least likely?
Answer:it is the third option
Step-by-step explanation:
I took the test (:
Least likely event means probability of its occurrence is minimum among other events. The least likely events from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(A|B)[/tex]
How to find the conditional probability?Suppose that there are two events A and B. Then suppose the conditional probability are:
P(A|B) = probability of occurrence of A given B has already occurred.P(B|A) = probability of occurrence of B given A has already occurred.We can then use the chain rule to find them, or Baye's theorem also helps in finding these probabilities.
We are given the following table of joint relative frequency:
[tex]\begin{array}{cccc}&\text{Freshmen(B)}&\text{Non-Freshmen(B')}&\text{Total}\\\text{Owns a skateboard(A)}&40&110&150\\\text{Doesn't own skateboard(A')}&210&840&1050\\\text{Total}&250&950&1200\end{array}[/tex]
We named events as A, A' and B and B' (event and their complements).
The important probabilities which are going to be used are evaluated as:
[tex]P(A) = \dfrac{n(A)}{n(S)} = \dfrac{150}{1200} = \dfrac{1}{8}[/tex]
[tex]P(B) = \dfrac{n(B)}{n(S)} = \dfrac{250}{1200} = \dfrac{5}{24}[/tex]
[tex]P(A') = 1 - P(A) = \dfrac{7}{8}\\\\P(B') = 1-P(B) = \dfrac{5}{24} = \dfrac{19}{24}[/tex]
[tex]P(A \cap B) = \dfrac{n(A \cap B)}{n(S)} = \dfrac{40}{1200} = \dfrac{1}{30}\\\\P(A' \cap B') = \dfrac{n(A' \cap B')}{n(S)} = \dfrac{840}{1200} = \dfrac{7}{10}\\P(A' \cap B) = \dfrac{n(A' \cap B)}{n(S)} = \dfrac{210}{1200} = \dfrac{7}{40}[/tex]
Evaluating probabilities of choices given, we get:
Case 1: E = A randomly selected student who owns a skateboard is a freshmen
P(E) = ?
P(E) = P(B|A) = [tex]\dfrac{P(A \cap B)}{P(A)} = \dfrac{1/30}{1/8} = \dfrac{4}{15}[/tex]
Case 2: E = A randomly selected student who is a freshmen owns a skateboard:
P(E) = P(A|B) = [tex]\dfrac{P(A \cap B)}{P(B)} = \dfrac{1/30}{5/24} = \dfrac{4}{25}[/tex]
Case 3: E = A randomly selected student who doesn't owns a skateboard is a freshmen
P(E) = P(B|A') = [tex]\dfrac{P(A' \cap B)}{P(A')} = \dfrac{7/40}{19/24} = \dfrac{21}{95}[/tex]
Case 4: E = A randomly selected student who doesn't owns a skateboard is not a freshmen
P(E) = P(B'|A') = [tex]\dfrac{P(A' \cap B')}{P(A')} = \dfrac{7/10}{19/24} = \dfrac{84}{95}[/tex]
Thus, the least probability is for the second case.
Thus, the least likely event(the event having least probability) from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard
Learn more about probability here:
brainly.com/question/1210781
Graph and find the system of solutions ( I will give brainliest if the answer is correct )
Answer:k so graph 4 and then go 2 down for every one to the right and for the second one start by graphing -3 and go 5 up for every 1 to the right
Step-by-step explanation:here are some points -> (0,4) (1,2) (2,0) and for the second one -> (0,-3) (1,2) (2,7) and solution to lines is (1,2)
WILL GIVE BRAINLIEST! In the figure, a∥b and m∠1 = 34°.
What is the m∠5?
Enter your answer in the box.
°
Severely slanted line c diagonally crossing parallel lines a and b (reading from top to bottom). Angles formed by c crossing a are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by c crossing b are labeled five through eight, starting at top right and going counterclockwise.
PLEASE HELP ASAP...
WILL GIVE BRAINLIEST
Answer:
34 degrees
Step-by-step explanation:
Margaret noticed some students in her class like to write with short pencils, while others were using long pencils. She measured the lengths of each student's pencil and displayed the results in a line plot. If the lengths of the pencils were divided equally among the total number of pencils, what would be the length of each pencil?
Answer:
heres some info for you!
Step-by-step explanation:
work out the value of angle x.
and give a reason for your answer.
pls help!
Answer:
60°
Step-by-step explanation:
Since, all sides of the given triangle are marked with identical signs.
So, measures of all sides are equal.
Therefore, it is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60°.
So, x = 60° ( Alternate angles)
What is the quotient?
Answer:
I got 4e+12 which is d
I think
Step-by-step explanation:
Answer:
[tex]4* 10^{12}[/tex] (The 2nd one)
Step-by-step explanation:
You can do 6 ÷ 1.5.
This will give you 4.
If following the exponents rule, when dividing exponents with the same base, you need to subtract the exponents.
8 - (-4) = 12
6 is your base and 12 is your exponent.
Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm,
3 cm
16 cm
Lucas put 30% of his paycheque in a saving account and used another $180 to buy groceries. He has left $590 left. How much money did Lucas get paid?
5x-2y=12
6x+2y=32
find the solution
Answer:
(4,4)
Step-by-step explanation:
There are two ways that you can solve this. You can solve it with the help of technology or you can solve it traditionally. I will show how to do it in both ways so you can pick which way you want to solve it.
Traditional Method:
5x - 2y = 12
6x + 2y = 32
Look at the variables and numbers in both equations. One of them has to be the same value but have to have opposite signs. The 2y in both equations are the same value but have different signs. That's what we want. We can add everything in the equation now. (5x + 6x), (-2y + 2y), and (12 + 32).
11x = 44
To get x alone, Divide each side by 11. Then we will get the value of x.
11/11x = 44/11
x = 4
Horray! We got x, but what about y? Pick one of the equations. I will go with 5x - 2y = 12. Substitute the x value inside the equation.
5(4) - 2y = 12
20 - 2y = 12
-2y = -8
y = 4
Good! We figured out y. Now we know the solution! The solution is (4,4).
Technology Method:
Grab a graphing calculator. Enter the equations. You will see two lines. Look at where they intersect. The point where they intersect is the solution. That line is (4,4). You could also do this on a piece of paper by graphing the equations.
I hope this helps! Let me know if you need any more help or if I got anything wrong.
plz plz answer-------------------
Answer:
1.55
Step-by-step explanation:
Answer:
1 11/20
Step-by-step explanation:
Sorry I don't have time to explain! Hope this helps and have a good day ^^
Find the inverse f(x) = 4 – 9x
Answer:
[tex]-\frac{x-4}{9}[/tex]
Step-by-step explanation:
Replace x with f(x)
solve for f(x)
Guina made a scale drawing of a window she is making for her house.
1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guina use to find the length of side B?
StartFraction 1 centimeters over 3 inches EndFraction = StartFraction 3 centimeters over x centimeters EndFraction
StartFraction 3 centimeters over 1 centimeter EndFraction = StartFraction x centimeters over 3 centimeters EndFraction
StartFraction 1 centimeter over 3 inches EndFraction = StartFraction 3 centimeters over x inches EndFraction
StartFraction 3 inches over 3 centimeters EndFraction = StartFraction x inches over 1 centimeter
Answer:
Proportion: 1/3=3/x
Step-by-step explanation:
The "1/3" proportion is telling us how the scale measurement relates to the real measurement.
The "3/x" describes the length of side B.
Now it is easy to figure out the answer! :D
Hope it helped!
Answer:
c
Step-by-step explanation:
i took the test mark brainlest if right
where is the blue dot on the number line?
Answer:
The blue dot is on -3.1
Step-by-step explanation:
Answer: The blue dot is -3.21