Given:
The set of points.
To find:
Which set of points represents a function?
Solution:
A set of points represents a function if there exist a unique y-value for each x-value.
It option A, the set of points is
{(1,-2), (3,-5), (3,-2), (5,-7), (7, -8)}
This is not a function because there exist two y-values y=-5 and y=-2 for x=3.
It option B, the set of points is
{(0,1),(1,−3),(2,−5),(3,−7),(4,−9)}
This is a function because there exist a unique y-value for each x-value.
It option C, the set of points is
{(−1,1),(−1,3),(−1,5),(−1,7),(−1,9)}
This is not a function because there exist five y-values y=1,3,5,7,9 for x=-1.
It option D, the set of points is
{(−4,0),(−3,−1),(−3,1),(0,−2),(0,2)}
This is not a function because there exist two y-values y=-1 and y=1 for x=-3.
Therefore, the correct option is B.
Answer:
problem ...
Which of the following sets represents a function?
{(3, 5), (-1, 7), (3, 9)
{(1, 2), (3, 2), (5, 7)}
{(1, 2), (1, 4), (1, 6)}
Step-by-step explanation:i think is
{(1, 2), (3, 2), (5, 7)}
Use inductive reasoning to describe the pattern of the sequence. Then find the next two terms. 6, 24, 96, 384, ...
A. Multiply by 3; 672, 960.
B. Multiply by 4.5; 402, 420.
C. Multiply by 4; 1536, 6144.
D. Multiply by 3.5, 576, 764.
Answer:
1536 and 6144
Step-by-step explanation:
you are multiplying by 4
I hope this helps you to understands better
The next two-term of the sequence is 1536 and 6144 and the multiplicity is 4
Given the sequence of numbers expressed as 6, 24, 96, 384, ...
The given sequence is a geometric sequence. The nth term of the sequence is expressed as;
[tex]T_n = ar^{n-1}[/tex]
a is the first term
r is the common ratio or multiplicity
n is the number of terms
Given the following parameters
a = 6
r = 24/6 = 96/24 = 4
n = 5 and 6 (5th and 6th term)
For the fifth term;
[tex]T_{5} = 6(4)^{5-1}\\T_5=6(4)^4\\T_5 = 1536[/tex]
For the sixth term;
[tex]T_{6} = 6(4)^{6-1}\\T_6=6(4)^5\\T_6 = 6144[/tex]
Hence the next two-term of the sequence is 1536 and 6144 and the multiplicity is 4
Learn more here: https://brainly.com/question/9300199
Simplify: -(-9) - 8(6 - 2)
Answer:
28
Step-by-step explanation:
-(-9) -8(6-2)
-(-9)-8(4)
-(-9)-32
9 - 32
28
Find the value of f(-2) for the function f(x) = 4x + 10.
Answer:
f(-2)=2
Step-by-step explanation:
Replace all x’s with -2’s.
f(-2)=4(-2)+10
f(-2)=-8+10
f(-2)=2
The answer is 2
What is the length of segment AB?
10
12
13
15
Answer:
Side AB is 13 plots long.
Step-by-step explanation:
Square sides A and side B
12 x 12 = 144
5 x 5 = 25
Now add the sides together. Then, find the square root of the sum.
144 + 25 = 169
[tex]\sqrt{169}[/tex] = 13
Check your work:
13 x 13 = 169
Write a unit rate for the situation.
270 miles in 6 hours
___miles per hour
Answer:
I believe it it 13 miles per hour.
Step-by-step explanation:
We know that an object travels 270 miles, so the rate is 270 miles.
---------------------------------
6 hours
1 mile = 5,280 feet 1 day = 24 hours
5,280 x 270 = 425,600 1 hour = 3600 seconds
270 miles = 425,600 feet 3600 x 6 = 21,600
3600 x 24 = 86,400
Fraction: Fraction:
425,600 feet 4,256 ft 21,600 sec 1
------- = ----- ------------ = -------- hour
5,280 feet 528 ft 86,400 sec 4
4,256/528 ÷ 1/4 = 4,256/528 x 4/1 (reciprocal) = 17,024/528 = 439/33 = 13
Hope this helps! :)
1. Trini needs more than 51
cubic feet of soil to top up
his raised garden. Each bag
of soil contains 1.5 cubic
feet. Write and solve an
inequality to find how many
bags of soil Trini needs.
Answer:
Step-by-step explanation:
51 feet / 1.5 = 34 bags needed minimum
But trini needs more than 51 bags so:
X>34 is the answer
I need help ASAP will reward a lot of points and mark BRAINLIEST
11 is b because the bottom needs to be 5 to dived the amount by 5 minutes and the top is the amount of words she types in 5 minutes
CAN SOME ALGEBRA 2 PERSON PLEASE HELP ITS DUE IN A FEW HOURS!!!!!
PLEASE SHOW UR WORK, IT IS QUESTIONS 12-29! ;w;
12. 5x² - 180 = 0
5x² = 0 + 180
5x² = 180
x² = 180/5
x² = 36
x = √36
x = 6
13. 3x² - 100 = 332
3x² = 332 + 100
3x² = 432
x² = 432/3
x² = 144
x = √144
x = 12
14. ⅔x² - 8 = 16
⅔x² = 16 + 8
⅔x² = 24
2x² = 24 × 3
2x² = 72
x² = 72/2
x² = 36
x = √36
x = 6
15. ½x² - 5 = 5
½x² = 5 + 5
½x² = 10
x² = 10 × 2
x² = 20
x = √20
16. x² + 1 = 3x² - 13
1 + 13 = 3x² - x²
14 = 2x²
14/2 = x²
7 = x²
√7 = x
17. 2(x² + 4) = 10
2x² + 8 = 10
2x² = 10 - 8
2x² = 2
x² = 2/2
x² = 1
x = √1
x = 1
18. 3(x² - 1) = 9
3x² - 3 = 9
3x² = 9 + 3
3x² = 12
x² = 12/3
x² = 4
x = √4
x = 2
19. 2(x + 3)² = 8
2(x² + 3² + 2×x×3) = 8
2(x² + 9 + 6x) = 8
2x² + 18 + 12x = 8
2x² + 12x = 8 - 18
2x² + 12x = -10
2(x² + 6x) = -10
x² + 6x = -10/2
x(x + 6) = -5
x + 6 = -5/x
6 = -5/x - x
6 = -5/x - x²/x
6 = (-5 -x²)/x
6x = -5 - x²
Adam buys some theatre tickets in a sale. the normal prices are: £80 for each adult £40 for each child in the sale the prices are reduced by 15%. adam buys 2 adult tickets and 1 child ticket at the sale price. a 2% booking fee is then added to the total cost of the tickets. calculate the total amount that adam must pay
Answer:
Adam has to pay £173.40
Step-by-step explanation:
If you take 15 percent off of 80 you get 68 and if you multiply that by 2 then you will get 136. And 15 percent off of 40 is 34. Then you add 34 to 136 and you get 170. And 2 percent of 170 is 3.40. You add that to 170 and you get £173.40.
Please mark brainliest.
Simplify the expression.
pls i need help
Answer:
7x+1
Step-by-step explanation:
Keith has $500 in a savings account at the beginning of the summer. He withdraws $25 each week for food, clothes, and movie tickets. He wants to have an account balance of at least $200 in the account at the end of the summer.
Answer:
You can put this solution on YOUR website!
the inequality is 500 - 25x >= 200
this insures that he will have at least 200 at the end of the summer.
subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x
simplify to get 300 >= 25x
divide both sides of that equation by 25 to get 300 / 25 >= x
simplify to get 12 >= x
12 >= x means x <= 12.
when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.
when x = 12, what is left in the account is 500 - 25 * 12 = 200.
when x = 11, what is left in the account is 500 - 25 * 11 = 225.
when x = 13, what is left in the account is 500 - 25 * 13 = 175.
the maximum number of weeks he can withdraw money from his account is 12.
Step-by-step explanation:
An art class has 33 students. The ratio of boys to girls is 5:6. How many girls are in this
class?
Answer:
boys = 15
girls = 18
---
Step-by-step explanation:
g/b = 6/5
g = (6/5)b
g + b = 33
---
g + b = 33
(6/5)b + b = 33
(6/5)b + (5/5)b = 33
(11/5)b = 33
---
b = 33(5/11)
---
Answer:
18 girls
Step-by-step explanation:
Because you have to add the 5 and 6 to get 11. And then you divide the total amount of students (33) by the 11 you got earlier which you get a 3 from.Then you multiply the 3 times the number of girls (6) to get 18 girls. And you would multiply the 3 times the 5 if you wanted to find the number of boys in the art class.
Have a most wonderful day!!
Prove Theorem 6-6. Given:m AB =m CD. Prove: m AB = mCD
Answer:
Step-by-step explanation:
The measure of angle 1 is equal to the measure of angle 2, its proved by using the theorem angle of tangency using arc measure.
What is the Measure of an Angle of Tangency Using Arc Measure?Let A be a point on a circle and B be the point where a tangent (passing through B and C) intersects the circle. Then, the angle of tangency ∠ABC is half of the measure of the arc AB formed on the same side.
Given that, Arc AB= Arc CD in circle P.
Here, Arc AB= 1/2 ×m∠1 ------(i)
Arc CD= 1/2 ×m∠2 ------(ii)
Equation (i) and (ii) are equal, we get
1/2 ×m∠1=1/2 ×m∠2
m∠1=m∠2
Hence, proved.
To learn more about the circle theorems visit:
https://brainly.com/question/19906313.
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"Your question is incomplete, probably the complete question/missing part is:"
Arc AB= Arc CD in circle P.
Prove that, m∠1=m∠2
using ratio plz help im stuck i need #5 for one side 1-5 for the other
WILL MARK BRAINLIEST! What is the formula to calculate the slope? Is it y^2-y^1/x^2-x^1? Please type it in for me.
Answer:
You are correct. Remember: rise over run.
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
Answer:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
the 2 and 1 represent which number they are in a series of points. For example, if I were to have points (1,2) and (3,4)
4 would be [tex]y_2[/tex] meaning it is the second y value
2 would be [tex]y_1[/tex] meaning it's the first y value
Same goes for x
3 is [tex]x_2[/tex]
1 is [tex]x_1[/tex]
so the equation for slope is [tex]\frac{4-2}{3-1}[/tex], or 1
The proper way to write a large number in a sentence is:
a.) ten billion
b.) 10 billion
c.) 10,000,000,000
d.) tens of billions
please help :,) identify an equation in slope-intercept form for the line parallel to y=3x+5 that passes through (4,-1)
Answer:
A. y + 1 = -3(x - 4)
Step-by-step explanation:
If the equations are perpendicular, then that means they have the same slope, just with the opposite sign. In this case, the given equation's slope is 3, which means that the other equation's slope is -3. Now that we know the slope and one point, we can write the equation in point-slope form:
y - y1 = m(x - x1)
y - (-1) = -3(x - 4)
y + 1 = -3(x - 4)
The equation in point-slope form is answer choice A. y + 1 = -3(x - 4).
Hope this helps :)
HELP PLS :)
What is the slope of the line?
Answer:
-1/3
Step-by-step explanation:
if we use the rise over run method we see a fall of 1 and a run of 3. since we are using fall instead of rise that makes this slope negative. hope this helped :)
The length of a rectangle 10 more than twice the width, if a perimeter is 80 inches find the length and the width
Explain how to use the regression calculator to make a reasonable prediction given a data table.
Answer:
Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
Answer:
Sample Answer: Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
its from edge
Julio predicted that the average high temperature for January would be Negative 7 degrees Celsius. The actual average high temperature was 4 degrees higher than Julio’s prediction. Which describes the actual average high temperature for January?
–11°C
–3°C
3°C
11°C
Answer:
B (-3)
Step-by-step explanation:
Good Luck!
Find the time (in years) these accounts lasted for.
Annual interest rate
(in decimal form)
I=$30, P=$500,r=3%
9514 1404 393
Answer:
2 years
Step-by-step explanation:
Use the interest formula with the given information. Solve for t.
I = Prt
30 = 500×0.03×t
30/15 = t = 2 . . . . . . divide by the coefficient of t
The account lasted 2 years.
Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 3 people? thank u if u help and need this ASAP
Answer: 1 1/8 teaspoons
Step-by-step explanation:
1 person = 3/8 teaspoons
3/8 x 3 = 1 1/8 teaspoons
What is the solution to the equation?
5 = 2/5 a O 2 O4 3/5 O 12 1/2. O 25
Person who answers first gets brainliest
The probability of a basketball player making a free throw is 76%. In practice she shoots 10 free throws. What is the probability that he makes 7 free throws?
Answer:
0.243
Step-by-step explanation:
Given that :
Probability of success (p) = 76% = 0.76
Number of free throws (n) = 10
Probability of making 7 free throws = r
Using binomial distribution :
nCr * p^r * (1 - p)^(n-r)
10C7 * 0.76^7 * (1 - 0.76)^(10 - 7)
10C7 * 0.76^7 * 0.24^3
120 * 0.14645 * 0.013824
= 0.24294
Hence probability of making 7 free throws from 10 is 0.243
Answer:
MK
Step-by-step explanation:
What is the measure of a vertex angle of a triangle if the base angle measures 38° and two congruent sides each measure 42 units?
Answer:
Bearing in the mind that an ossicle triangle has twin sides and coming out of the vertex they make twin angles at the base check the picture out
Step-by-step explanation:
Same way with 42
Write the quadratic equation whose roots are 1 and -6, and whose leading coefficient is 5.
(Use the letter x to represent the variable.)
Answer:
[tex]f(x)=5x^2+25x-30[/tex]
Step-by-step explanation:
Quadratic Equation
If the roots of a quadratic equation are known, we can form the equation as follows:
[tex]f(x)=a(x-x_1)(x-x_2)[/tex]
where x1 and x2 are the known roots, and a is the leading coefficient.
We are given the roots as x1=1 and x2=-6, and the leading coefficient as a=5, thus:
[tex]f(x)=5(x-1)(x+6)[/tex]
Operating:
[tex]f(x)=5(x^2-x+6x-6)[/tex]
Simplifying:
[tex]f(x)=5(x^2+5x-6)[/tex]
Multiplying:
[tex]\mathbf{f(x)=5x^2+25x-30}[/tex]
Events which do not influence each other are called
Answer:
Independent Events
Step-by-step explanation:
Independent Events are events which do not affect each other.
HTH :)
12(x - 6) = 2(x - 9)
Answer:
Exact form: x = 27/5
Decimal form: x = 5.4
Mixed-number form: x = 5 2/5
Step-by-step explanation:
hope this helps :)
(2) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain your reasoning. *
Answer:
$65
Step-by-step explanation:
Let
x = original price of the item
Mai buys one item and saves $13,
This means 20% of the original price of the item = $13
20% of x = 13
20/100 * x = 13
0.2 * x = 13
0.2x = 13
Divide both sides by 0.2
x = 13 / 0.2
= 65
x = $65
Therefore, the original price of the item is $65