Answer:
1. R = 15
2. X = 10
Step-by-step explanation:
1. 11 = R - 4
+4 +4
15 = R
2. -3 + X = 7
+3 +3
X = 10
If the relationships below are given in the form (input, output), which pairing always describes a function? (a person’s age in years, that same person’s height in inches) (a person’s weight in pounds, that same person’s height in inches) (a person’s height in centimeters, that same person’s height in inches) (a person’s telephone number, that same person’s height in inches)
Answer:
A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:
(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.
(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.
(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.
(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.
So, the pairings that always describe a function are:
(a person’s age in years, that same person’s height in inches)
(a person’s weight in pounds, that same person’s height in inches)
(a person’s height in centimeters, that same person’s height in inches)
These three pairings meet the criteria of a function, where each input corresponds to a unique output.
The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)
How did we arrive at this assertion?A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:
1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).
2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.
3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.
4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).
So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)
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Vic has 3 pairs of pants, blue, brown and black. He has 2 dress shirts, white and striped. He can also wear a yellow or green tie. If he chooses his outfit randomly, what is the probability he will get blue pants, white shirt and green tie?
Find the volume of a prism. Show your work.
Answer:
Step-by-step explanation:
11 times 22
the area of its cross-section multiplied by the length
answer: 242cm squared
Pls help!! This dream box lesson is hard!
Answer:
12+H
Step-by-step explanation:
I've never used dream box, but if the equation you need to simplify is 2+h+7+3, you would simply combine like terms. This means you will add all of the numbers since they are all positive.
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
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hello I need an quick answer please
2-step equation(explination need please and thank you )
x-4/3>10
Answer:
x > 7.5
Step-by-step explanation:
1. Multiply the reciprocal of 4/3 to both sides (3/4)
- x> 10/1 x 3/4
- x >30/4
2. Simplify the equation:
- x > 30/4
- x > 7 2/4
7 2/4 - 7.5
ANSWER = x > 7.5
1. The number line shows the graph of an inequality:
A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the first mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −2.5 can be a value in the shaded region?
a
Yes it can, because −2.5 lies to the left of −0.5.
b
Yes it can, because −2.5 lies to the right of −0.5.
c
No it cannot, because −2.5 lies to the left of −0.5.
d
No it cannot, because −2.5 lies to the right of −0.5.
2. If x = − 4, which number line shows the value of |x|? (5 points)
a
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and 4 is written on the line.
b
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and negative 4 is written on the line.
c
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and 4 is written on the line.
d
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and negative 4 is written on the line.
Step-by-step explanation:
a
Yes it can, because −2.5 lies to the left of −0.5.
Okay, another question! Im so sorry if this is annoying. Also please no joke answers, and if possible please explain so I can understand!
Rain made an error.
The expression should be \(3\left(\frac{1}{2}\times10\times \bf{12}\right)+ \left(\frac{1}{2}\times10 \times 8.7\right)\)
Note the term in bold which is 12. I've replaced 13 with this value. This is because the height of each lateral side is 12 inches, instead of 13 inches.
-----------------
The steps needed to be taken are therefore:
\(3\left(\frac{1}{2}\times10\times 12\right)+ \left(\frac{1}{2}\times10 \times 8.7\right)\\\\\\3\left(5\times 12\right)+ \left(5 \times 8.7\right)\\\\\\3\left(60\right)+ 43.5\\\\\\180+ 43.5\\\\\\223.5\\\\\\\)
This means the triangular pyramid's surface area should be 223.5 square inches.
Addyson claims that if two triangles each have a side length of 11 units and a side length of 8 units, and also an angle measuring 100, they must be identical to each other. Do you agree?
yes or no
I will give brainliest to the best answer btw
Solve:
3x + 3x - 2x = 12
Group of answer choices
X = -8
X = 8
X = 3
X = -3
Answer:
X= 3
Step-by-step explanation:
3x+3x+(-2x)=12
3x+3x=6x
6x+(-2x)
4x=12
4x/4x
12/4
x=3
The volume of the prism shown below is 84 cubic yards. What is the height, h, of the prism?
Please help!!!!! Will give 17 points
Answer:
She has 2 pairs of shoes, 3 pairs of shorts, and 2 shirts to choose from.
Step-by-step explanation:
She got 7 new items and can choose from any of them to make a new outfit.
istg some 1 help
A label is placed around a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.
image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.8 inches
94.4π square inches
32π square inches
30.1π square inches
62.4π square inches
Answer:
Step-by-step explanation:
c
solve each compound inequality
f-4<5 and f-4 ≥ 2
y-1 ≥7 or y+3<-1
-5<3p+7≤22
To solve each compound inequality, we can break it into two separate inequalities and solve each one separately.
For the first compound inequality, f-4<5 and f-4 ≥ 2, we can break it into two separate inequalities: f-4<5 and f-4>2. Solving these inequalities separately, we get:
f-4<5
f<9
f-4>2
f>6
Therefore, the solution to the compound inequality is 6<f<9.
For the second compound inequality, y-1 ≥7 or y+3<-1, we can break it into two separate inequalities: y-1>=7 and y+3<-1. Solving these inequalities separately, we get:
y-1>=7
y>=8
y+3<-1
y<-4
Therefore, the solution to the compound inequality is y<-4 or y>=8.
For the third compound inequality, -5<3p+7≤22, we can break it into two separate inequalities: -5<3p+7 and 3p+7≤22. Solving these inequalities separately, we get:
-5<3p+7
3p>-12
p>-4
3p+7≤22
3p≤15
p≤5
Therefore, the solution to the compound inequality is -4<p≤5.
I need help with this question, I'm not very good at math and all help is appreciated!
Answer:
A
Step-by-step explanation:
We can solve for H by isolating it on one side of the equation, as follows:
J/H - I/H = G
Taking H as the common denominator:
(J - I)/H = G
Multiplying both sides by H:
J - I = GH
Adding I to both sides:
J = GH + I
Dividing both sides by G:
H = (J - I)/G
So the answer is
(A)
H = (J - I)/G.
Answer: A
Step-by-step explanation:
\(\frac{J}{H} = G + \frac{I}{H}\) >Since you are solving for H bring I/H to the other side
by subtracting I/H from both sides
\(\frac{J}{H}- \frac{I}{H} = G\) >There is a common denominator so you can
combine the fractions
\(\frac{J-I}{H} = G\) >Multiply both sides by H or cross multiply whichever
way your mind things about how to get H on top
\(J-I = G(H)\) >Divide both sides by G
\(\frac{J-I}{G} = H\) >Answer is A
The train is 100 metres long and approaching a 3000 metre long tunnel.
30 seconds would pass if the front car and last train car exit the tunnel.
How do I determine the constant speed of something in kilometres per hour?
Answer:
i have the same question sorry :((((
Step-by-step explanation:
choose all that apply ty
Solve for k. 10k–10=5(3k+5)
Answer: -7
Step-by-step explanation:
Answer:
Your answer is \(k = -7\)
Step-by-step explanation:
(attached)
Carlos and Clarita want to sell T-shirts with dogs and cats on them. They’ve found two local t-shirt companies. Shirts R Us will charge them a one-time set up fee of $20 and $15/t-shirt. The second company, Tee4U, has a $50 set up fee and charges $12/t-shirt. graphing inequalities
Answer:
i think the second one would be better
Step-by-step explanation:
hope it helps :)
The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness. It takes 198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of −418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 8848 meters. It takes 209 seconds to boil a perfect egg there. T(a) models the time (in seconds) it takes to boil a perfect egg at an altitude of a meters. Which number type is more appropriate for the domain of T? What's the appropriate domain?
Answer:
198
Step-by-step explanation:
198
What is 10x10x20x90?
Pls help!
Answer:
The answer is 180,000
Answer: 180000
I really hope this helped you! good luck
Claire earns $8.50 per hour babysitting plus a $15 travel fee. Brooklyn earns $9.50 per hour walking dogs plus a $5 supply fee. How many hours do they have to work to earn the same amount of money?
Answer:
I believe Claire makes $24.50 and Brooklyn makes $14.50, so if you wanted to make Brooklyn walk an extra hour, she would have 24.00 adding the supply fee which is $5 which would make it $29.00.
Now i am going to try to actually solve it
8.50x15=127.5
9.50x5=47.5
9.50x13=123.5
this is so wrong i am so sorry, i just hope this helps you understand your question a bit more!
Step-by-step explanation:
what is the LCM of 4, 6, 8 and 12
Answer:
24
Step-by-step explanation:
Trust
Help what does mean?
Brainly, I did write 20 letters and its still not letting me post this answer, u good?
question
how would you solve this problem
the ratio of *name*'s age to his brother's is 2:3. In ten years, the ratio would be 4:5. How old is *name* and his brother now and in 10 years?
also how would you solve it if the ratio changed to something different, ex: 1:3 to 3:5 in 10 years
Answer:
*name* is 10 years old now and brother is 15 years now
In 10 years they would be 20 and 25 respectively
Step-by-step explanation:
Let x = *name*'s age now
let y = brother's age now
The first relationship is that the ratio of their ages now is 2:3 or, in fraction form 2/3
That means x/y = 2/3
Cross multiply => 3x = 2y =>
3x - 2y = 0 [1]
10 years from now x would become x + 10 years, y would become y + 10 years and the new ratio is 4/5
So (x + 10)/(y+10 = 4/5
Cross-multiply
5(x + 10) = 4(y + 10)
5x + 50 = 4y + 40
Subtract 4y from both sides
5x + 50 -4y = 40
and subtract 50 from both sides:
5x - 4y = 40 - 50
5x -4y = -10 [2]
Eliminate y terms by multiplying [1] by 2 and subtracting [1] from that
[1] x 2
=> 2(3x - 2y) = 2 x 0
=> 6x - 4y = 0 [3]
[3] - [2]
6x - 4y - (5x -4y) = 0 - (-10)
6x - 4y -5x + 4y = 10
x = 10
Using equation [1] we get
x/y = 2/3
=> 10/y = 2/3
10 x 3/2 = y
5 x 3 = y
y = 15
So their ages are 10 and 15 now.
In 10 years they would be 20 and 25
If the ratios change we would have a different set of equations to solve for
For example if the current ratio is 1/3
Then we would get x/y = 1/3
or 3x - y = 0 [4]
and if 10 years from now the ratio is 3/5 then
(x + 10)/(y + 10) = 3/5
=> 5(x+10) = 3(y + 10)
=> 5x + 50 = 3y + 30
=> 5x - 3y = -20 [5]
And we would solve these equations to get x and y in a similar mannter
FYI the answers would be
x = 5, y = 15
help asap please, this is due in 30 minutes.
2. Write and evaluate a subtraction expression to find the depth of the submersible at 2:17pm.
3. Write and evaluate a subtraction expression to find the depth of the submersible at 2:18pm.
4. if the submersible dove straight down, what is the distance between the submersible’s starting position at 2:15 and its position at 2:18? Show your work.
Answer:
-580
Step-by-step explanation:
Giving 50 points and brainliest to whoever answers this right
PLSSS HELP PLSSSSSSSS MARKING BRAINLIST QUESTION BELOW
Answer:
Hey there!
CarMart's rate of sales is 11 cars per day.
Winston's rate of sales is 10 cars per day.
Compared with CarMart, Winston is selling fewer cars per day.
Compared with CarMart, Winston started with 2 fewer cars.
Let me know if this helps :)
Answer:
CarMart's rate of sales is 11 cars in a day.
Winston's rate of sales is 10 cars in a day.
Compared with CarMart, Winston is selling less cars in a day.
Compared with CarMart, Winston started with two fewer cars.
Step-by-step explanation:
What is the equation of the line?