which set of ordered pairs best represents the linear function f(x) = 1/2x + 2 ?
Answers
The set of ordered pairs that best represents the linear function f(x) = (1/2)x +2 is the third option.
H { (-4, 0), (-1, 1.5), (2, 3), (4, 4)}
Which set of ordered pairs best represents the linear function?We want to see which one of the given sets best represents the linear function:
f(x) = (1/2)x +2
To identify the correct option, we need to see which set of ordered pairs only includes points that are on the linear equation.
For example, the first set starts with the point (-4, -7.5)
Replacing these values in our function we will get:
-7.5 = (1/2)*-4 + 2
-7.5 = -2 + 2
-7.5 = 0
This is false, so we can discard the first equation.
(We also can see that f(-4) = 0, so we can also discard the second option).
Now let's look at the third option, the second point is (-1, 1.5)
f(-1) = 1.5 = (1/2)*-1 + 2
1.5 = -0.5 + 2
1.5 = 1.5
This point belongs to the functions graph.
(and on the other set we have the point (-1, 3), that point clearly does not belong to the graph, so we can also discard this option).
Finally, the only remaining option is the third one, H.
{ (-4, 0), (-1, 1.5), (2, 3), (4, 4)}
Learn more about linear equations:
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Related Questions
Suppose a researcher compiled a data set consisting of the following variables for a sample of 100 retired men. For each variable, select whether it is discrete or continuous. Variable Discrete Continuous The number of meals eaten out in the last week The number of pets currently living in the household Pant size Height in inches Pounds of chocolate consumed in the past year
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Step-by-step explanation:
A discrete variable can be defined as a definite variable that we can get it's possible values just by counting. With this in mind.
1. The number of countries ever visited is a discrete variable
2. Shoe size is definite, it is a discrete variable.
3. Number of pets living in a household is a discrete variable.
A continuous variable is one that we can get the value through measurements.
1. Pounds of chocolate consumed in the past is continuous
2. Height in inches is continuous
Plz solve the calculus :')
Answers
Answer:
[tex] \frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c[/tex]
Step-by-step explanation:
[tex] \int \frac{1}{ \sqrt{x} - \sqrt{x - 1} } dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x} - \sqrt{x - 1} )( \sqrt{x} + \sqrt{x - 1} )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x})^{2} - (\sqrt{x - 1} )^{2}} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - (x - 1 )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - x + 1} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ 1} dx \\ \\ = \int (\sqrt{x} + \sqrt{x - 1}) dx \\ \\ = \int \sqrt{x} \: dx+ \int\sqrt{x - 1} \: dx \\ \\ = \int {x}^{ \frac{1}{2} } \: dx+ \int {(x - 1)}^{ \frac{1}{2} } \: dx \\ \\ = \frac{ {x}^{ \frac{3}{2} } }{ \frac{3}{2} } + \frac{ {(x - 1)}^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} {x}^{ \frac{3}{2} } + \frac{2}{3} {(x - 1)}^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \bigg[ \sqrt{ {x}^{3} } + \sqrt{ {(x - 1)}^{3} } \bigg] + c \\ \\ = \bold{\purple {\frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c}} [/tex]
Prove: An even plus an even is
an even
2n + 2m = [? ](n + m)
= even
Answers
Answer:
2(n + m)
Step-by-step explanation:
Help me pls and pls show work
Answers
Answer:
if you need it as improper then 25/12
Step-by-step explanation:
Mother plans to buy 1/2 kilogram of chicken and 2/5 kilogram of beef How many kilograms of meat does she plan to buy?
Answers
Answer:
Step-by-step explanation:
Write a response to the following using Claim, Evidence, Reasoning.
Refer to the kite ABCD with diagonal AC shown above.
Use careful reasoning to explain why 21 22 and 23 24.
Answers
Answer:
The answer is A 21
Step-by-step explanation:
Two different age groups were surveyed about the amount of time they spent on social media.
Answers
For b you had to add 25 and 35 together to make 60.
Divide 60 by 2 to get 30. 30 is the average between the two numbers. You then find the frequency of 30 using the graph. For the 12 year olds it is 40 and for the 18 year olds it is 60. Find the difference between these 2. So 60-40= 20
A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?
A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x
Answers
find y and round to the nearest tenth. thank you
Answers
Answer and Step-by-step explanation:
31 degrees on the top would be equal to the angle in between x and 600ft, by the interior angles theorem.
That means we can solve for y using the trigonometric function of tangent.
[tex]tan(31) = \frac{y}{600}[/tex]
Multiply by 600 to both sides, then use a calculator to solve.
600(tan(31)) = x
x = 360.5163714
x ≈ 360.5 is the answer.
What is the temperature shown?
Answers
Answer:
-3
....................
Answer:
-3
Step-by-step explanation:
1. Is a triangle with side lengths 6, 4, 3 a right triangle? Why or why
not?
Answers
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 6 , then 6² = 36
4² + 3² = 16 + 9 = 25
Since 4² + 3² ≠ 6² then triangle is not right.
SOEMOEN HELP ME WITH THE MATH PROBLME If x is 6, what is:
X 2
Answers
Answer:
36
Step-by-step explanation:
The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!
It is given that y =x^2. If x is increased by 10%, find the percentage change in y.
Answers
Answer:
Step-by-step explanation:
y = x^2
X increased by 10% = 1.10x
(1.10x)^2 = 1.21x^2
y increases by 21%
A contractor is required by a county planning department to submit one, two, three, four, five, six, or seven forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y—that is, p(y) = ky for y = 1, , 7.
A) What is the value of c?
B) What is the probability that at most three forms are required?
C) What is the probability that between two and four forms (inclusive) are required?
D) Could pX(x) = x^2/50 for x = 1, . . . , 5 be a probability distribution of X? Explain.
Answers
Answer:
Step-by-step explanation:
Given that:
P(Y) = ky
where;
y =1,2,...7
To find the value of c or k (constant)
[tex]\sum P(Y) = 1[/tex]
[tex]\sum \limits_{y \to 1}^7 k*y = 1[/tex]
= k(1+2+3+4+5+6+7) = 1
28k = 1
[tex]k = \dfrac{1}{28}[/tex]
b) The required probability is P ( X ≤ 3)
[tex]P(X \le 3) = \sum \limits^3_{y=1 } P(y)[/tex]
[tex]P(X \le 3) = \sum \limits^3_{y=1 } \dfrac{1}{28}(y)[/tex]
[tex]P(X \le 3) = \dfrac{1}{28} (1 +2+3)[/tex]
[tex]P(X \le 3) = \dfrac{6}{28}[/tex]
P ( X ≤ 3) = 0.2143
c) The required probability P(2 ≤ Y ≤ 4)
[tex]P(2 \le Y \le 4) = \sum \limits ^4_{y=2} P(Y)[/tex]
[tex]P(2 \le Y \le 4) = \sum \limits ^4_{y=2} \dfrac{1}{28}(Y)[/tex]
[tex]P(2 \le Y \le 4) = \dfrac{1}{28}(2+3+4)[/tex]
[tex]P(2 \le Y \le 4) = 0.3214[/tex]
d) The required probability:
[tex]P(X) = \dfrac{x^2}{50} ; \ \ \ \ where; \ x= 1,2,...5[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)= \sum \limits ^5_{y =1} \dfrac{1}{50}(x)^2[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)= \sum \limits ^5_{y =1} \dfrac{1}{50}(1+4+9+16+25)[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)=1.1[/tex]
Please help Firts I need to write with a function
Second what is the answer
Answers
Answer:
Step-by-step explanation:
The answer is 48 hotdogs because 120 divided by $2.50 is 48
Select the expression that is equivalent to 2b+ 5 + 6b − 2b − 1.
Answers
Step-by-step explanation:
no entiendo.....aaaaa
Answer:
6b+4
Step-by-step explanation:
6/30 in its simplest form
Answers
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
6/30 can be simplified by finding the LCD (least common denominator), which is 6
divide both the top & bottom by 6
6/6 = 1
30/6 = 5
thus, your answer is 1/5
If a scientific team uses special equipment to measures the pressure under water and finds it to be 282 pounds per square foot, at what depth is the team making their measurements?
Answers
p=282 pounds per square foot =1 376.8 kg/m2
d- density of water
d≈997 kg/m³
p=d*h
h=p/d
h=1 376.8/997
h=1.38 m (about 4530 feet 105⁄64 inches)
find the meassure of the missing angle
Answers
Step-by-step explanation:
Side A is 4
Side B is 6
Perimeter is 28
I need help on this :)
Answers
Answer:
<
Step-by-step explanation:
Need points :(
Answer:
Step-by-step explanation:
x+23+x=90
2x=67
x=33.5
Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5
Answers
Answer:
3
Step-by-step explanation:
2 plus 1 is 3
Please help me!!!!
Eight students share 12 mini oatmeal muffins equally and 6 students share 27 mini apple muffins equally.
Carmine is in both groups of students.
What is the total number of mini muffins Carmine gets?
Carmine gets
muffins.
Answers
Step-by-step explanation:
oatmeal 12/8 = 1.5 per student
apple 27/6 = 4.5 per student
carmine gets 1.5 + 4.5 = 6 muffins
Answer:
Step-by-step explanation:
(12 oatmeal)/(8 students) = (1.5 oatmeal)/student
Each student gets 1.5 oatmeal muffins.
(27 apple)/(6 students) = (4.5 apple)/student
Each student gets 4.5 apple muffins.
Carmine gets 1.5 oatmeal plus 4.5 apple = 6 muffins
The probability of a head is 0.27. The coin is thrown 200 times. Write an
estimate for the amount of tails
Answers
Answer:
The estimate for the amount of tails is 146.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a head, or it is tails. Throws are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The probability of a head is 0.27.
This means that the probability of tails is [tex]p = 1 - 0.27 = 0.73[/tex]
The coin is thrown 200 times.
This means that [tex]n = 200[/tex]
Write an estimate for the amount of tails
This is the expected value, so:
[tex]E(X) = np = 200*0.73 = 146[/tex]
The estimate for the amount of tails is 146.
(1,−1)and(6,9) Write the slope-intercept form of the equation of the line through the given points.
Answers
Answer:
2
Step-by-step explanation:
So first you would do y2-y1/x2-x1
9-(-1)/6-1
10/5=
2
Steps are on paper.
And if you need more explanation, you can ask on the comment.
At a party, the amount of people who ate chicken wings was 9 less than 3 of the total
number of people. The number of people who ate chicken wings was 2. Write and solve an equation
to find the number of people at the party. Let x represent the number of people at the party. Use pencil
and paper. Write a one-step equation that has the same solution.
Answers
Answer:
3-9= the number of people who at chicken wings and the number of people who ate chicken wings were 2. By the way i dont know if did my math absolutley correct. sry:(
Whoever answers first gets brainliest
Answers
Step-by-step explanation:
nasaan po ang tanong, where is the question
Sarah is a news anchor. She works 55 hours a week, but she is only on-air about 17% of those hours. Approximately how many hours is Sarah on-air each week?
Answers
Sarah spends 9.35hours on air.
The area of a rectangle is 2x*2-13x+12 and another area is 6x^2-13x+21, what is the combined area of both rectangles?
Answers
Answer:
8x^2 - 26x + 33
Step-by-step explanation:
Add the expressions.
2x^2 - 13x + 12 + 6x^2 - 13x + 21 =
= 2x^2 + 6x^2 - 13x - 13x + 12 + 21
= 8x^2 - 26x + 33
n is an integer.
Write the values of n such that -15 < 3n <6
I need know please
Answers
Answer:
-5<n≤2
Step-by-step explanation:
Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2
HURRY IM TIMED!!!
Select all the expressions that are equivalent to 21.
A.210 ÷ 10
B.741 ÷ 39
C.630 ÷ 30
D.756 ÷ 36
E.200 ÷ 10
Answers
Answer:
A, C, and D
Step-by-step explanation:
Answer: A - C - D
Step-by-step explanation:
A= 21
B= 19
C= 21
D= 21
E= 20