Which is the graph of the equation y- 1 =} (x 3)?
10
06
6 4
(9,5)
3.1)
1
-10-A-22
2 4 6 8 10 x
4
od
wo
10
6
Answers
y-intercept(0,-1)
Related Questions
One month Ivanna rented 7 movies and 9 video games for a total of $80. The next month she rented 5 movies and 3 video games for a total of $34. Find the rental cost for each movie and each video game.
Answers
Answer:
each movie costs $2.75, each video game costs $6.75
Step-by-step explanation:
x = movies, y = video games
7x + 9y = 80
5x + 3y = 34
simplified to
x = 11/4 , y = 27/4
Which statements about the relationship between the two triangles below are true? Check all that apply,
Answers
Answer:
I don't know, because i really don't know
Write the sum using summation notation, assuming the suggested pattern continues.
2, -10, 50, -250, +…
Is this sequence arithmetic or geometric? How do you know?
Answers
Answer:
[tex]\sum_{n = 1} 2*(-5)^{n-1}[/tex]
Step-by-step explanation:
An arithmetic sequence is of the form:
[tex]A_n = A_{n-1} + d[/tex]
While a geometric sequence is of the form:
[tex]A_n = A_{n-1}*r[/tex]
notice that first, we have a change of sign in our sequence, so we already can discard the arithmetic sequence.
In fact, the pattern is kinda easy to see.
The first term is:
A₁ = 2
the second term is:
A₂ = -10
notice that:
A₂/A₍ = r = -10/2 = -5
The third term is:
A₃ = 50
the quotient between the third term and the second term is:
A₃/A₂ = 50/-10 = -5
Whit this we can already conclude that the n-th term of our sequence will be:
[tex]A_n = A_{n-1}*(-5)[/tex]
Then the summation will be something like:
[tex]\sum_{n = 1} A_n = A_1 + A_2 + A_3 + ... = 2 - 10 + 50 - ...[/tex]
We can write:
[tex]A_n = A_{n-1}*(-5) = (A_{n-2}*(-5))*(-5)) = A_1*(-5)^{n-1} = 2*(-5)^{n-1}[/tex]
Then the summation is just:
[tex]\sum_{n = 1} 2*(-5)^{n-1}[/tex]
In a class of 5 , there are 3 students who have done their homework. If the teacher 2 chooses 2 2 students, what is the probability that none of them have done their homework?
Answers
Answer:
2 over 5
Step-by-step explanation:
This means out of 5 students only three did their work so 5-3=2
And the number of students who did their work over the total number of students in the class to find the probability
The probability that none of them have done their homework is 0.57%
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We are given that there are 3 students who have done their homework.
If the teacher 2 chooses 2 students, then;
Total no. of Outcomes= 5
Students who did their homework = 3
Students who didn't do their homework is 5-3 = 2
Probability of no. of students who haven't done their homework.
P(e)= 2/5
Thus P(students who haven't done homework) P(e)=0.57%
Learn more about probability here;
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What is 10+2
Please I need help
Answers
Answer: 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Check the picture below
A precise statement of the qualities of an idea, object, or process is called a
O A. theorem
O B. proof
C. definition
D. common notion
Answers
Answer:
C. definition
Step-by-step explanation:
A precise statement of the qualities of an idea, object, or process is called a definition. Hence, option (C) is answer.
HELP ME PLS!!!!!
Which of the following is | 5-12i |?
A) -√119
B) √119
C) −13
D)13
Answers
Answer:
D) 13
[tex]\sqrt{169} = 13[/tex]
Step-by-step explanation:
A boy's mother was 32 years old when he was born. Let a represent the boy's age and m represent the mother's age.
Complete the table using the relationship between a and m.
PLEASE ANSWER!!!!
Answers
see the picture attached
Wilbur spent $27 on a magazine and some notepads. If the magazine cost $3 and
each notepad cost $3, then how many notepads did he buy?
A) 11
B) 9
C) 8
D)12
Answers
Answer:
d 12
Step-by-step explanation:
27-3=24÷3=12 do the mathssssss
Answer:
If it was 11, it would be 33 dollars which is over the total so its not a.
It can't be b because that would be 27, and that would be on just notebooks not magazine
24 is correct because he baught one magazine so + 3 which is the total so it is C
Step-by-step explanation:
f(x) = −16x2 + 24x + 16
what is the vertex
Answers
Answer:
VERTEX: (0.75,25)
Step-by-step explanation:
the vertex will be at [-b/2a, f(-b/2a)]
−16x2 + 24x + 16
4(-4x^2 + 6x +4)
a = -4, b=6,c=4
-6/-8 = 3/4
f(3/4) = 25
A scientist has acid solutions with concentrations of 4% and 15%. He wants to mix some of each solution to get 44 milliliters of solution with a 12% concentration. How many milliliters of each solution does he need to mix together?
Answers
Let x and y be the amounts (in mL) of the 4% and 15% solutions, respectively, that the scientist needs to use.
He wants to end up with a 44 mL solution, so
x + y = 44 mL
Each milliliter of 4% solution contains 0.04 mL of acid, while each mL of 15% contains 0.15 mL of acid. The resulting solution should have a concentration of 12%, so that each mL of it contains 0.12 mL of acid. Then the solution will contain
0.04x + 0.15y = 0.12 × (44 mL) = 5.28 mL
of acid.
Solve for x and y. In the first equation, we have y = 44 mL - x, and substituting into the second equation gives
0.04x + 0.15 (44 mL - x) = 5.28 mL
0.04x + 6.6 mL - 0.15x = 5.28 mL
1.32 mL = 0.19x
x ≈ 6.95 mL
==> y ≈ 37.05 mL
. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased black sweaters. If you select a customer at random, what is the probability that they purchased a green or a gray sweater
Answers
Answer:
The probability that they purchased a green or a gray sweater is [tex]\frac{12}{31}[/tex]
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:
P(A∪B)= P(A) + P(B) - P(A∩B)
Where:
P (A): probability of event A occurring.
P (B): probability that event B occurs.
P (A⋃B): probability that event A or event B occurs.
P (A⋂B): probability of event A and event B occurring at the same time.
Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)
In this case, being:
P(A)= the probability that they purchased a green sweaterP(B)= the probability that they purchased a gray sweaterMutually exclusive eventsYou know:
8 purchased green sweaters4 purchased gray sweatersnumber of possible cases= 12 + 8 + 4+ 7= 21So:
[tex]P(A)=\frac{8}{31}[/tex][tex]P(B)=\frac{4}{31}[/tex]P(A⋂B) = 0Then:
P(A∪B)= P(A) + P(B)
P(A∪B)= [tex]\frac{8}{31}+ \frac{4}{31}[/tex]
P(A∪B)= [tex]\frac{12}{31}[/tex]
The probability that they purchased a green or a gray sweater is [tex]\frac{12}{31}[/tex]
Solve the equation for all values of xx.
−3x(x−3)(x 2 +16)=0
Answers
Answer:
x = 0 or x = 3
Step-by-step explanation:
-3x(x-3)(x^2+16)=0
3x = 0
x-3 = 0
x^2+16 =0 (not possible with real numbers)
x = 0, x= 3
Hence,
x = 0 or x =3
Feel free to mark this as brainliest :D
Plz help, fill in the blanks in order
Answers
3.3 A circle has a radius of 12cm. An angle of 3.2 radians is subtended at the centre by an arc. Calculate the length of the arc. (3)
Answers
Answer:
S = 38.4 centimeters.
Step-by-step explanation:
Given the following data;
Radius, r = 12 cmAngle = 3.2 radsTo find the length of the arc of a circle;
A full circle measures an angle of 360 degrees.
π = 180°
So; Angle, A = 360° = 2π
Therefore, a full circle is equal to 2π in terms of radians (rads).
Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.
Mathematically, the length of the arc of a circle is given by the formula;
S = rA
Where;
S is the length of the arc.A is the angle measured in radians.Substituting into the formula, we have;
S = 12 * 3.2
S = 38.4 centimeters.
Mr. Johnson took up an appointment with Nestle Ghana as an accountant with an annual salary of $164 million. as part of his appointment, he was promised a yearly increment of $24 million. Mr Johnson got promoted to chief accountant after six years of work with an annual salary of $300 million and yearly increment of$36 million.
calculate a) Mr. Johnson's salary in the tenth year of service.
b). Mr. Johnson's total earnings at the end of the tenth year of service.
Answers
Answer:
300 million(1+ 36 million) y
Step-by-step explanation:
A canoeist traveling with the current traveled the 24 miles between two riverside campsites in 2 hours. The return trip against the current took 3 hours. Find the speed of the canoeist in still water and the speed of the current, both in miles per hour.
Answers
Answer:
Speed of canoiest is 10 miles/hour.
Speed of current is 2 miles/hour.
Step-by-step explanation:
Let the speed of canoiest is v and the speed of current is u.
distance = speed x time
24 = (v + u ) x 2
v + u = 12 ..... (1)
Now
24 = (v- u) x 3
v - u = 8 .... (2)
By solving (1) and (2)
2 v = 20
v = 10 miles/hour
u = 2 miles/hour
does anyone know how to do this help please
Answers
Answer:
[tex]\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}[/tex]
Step-by-step explanation:
A quadratic function is given to us . And we need to fill out the table by using the function . The given function is ,
[tex]\rm\implies y = x^2+x - 6 [/tex]
Here we need to substitute the different values of x , to get the different values of y.
Put x = -3 :-
[tex]\rm\implies y = 3^2-3-6\\ [/tex]
[tex]\rm\implies y = 9 - 3 - 6 \\[/tex]
[tex]\rm\implies y = 0 [/tex]
Put x = -2 :-
[tex]\rm\implies y = 2^2-2-6\\ [/tex]
[tex]\rm\implies y = 4 -2-6\\[/tex]
[tex]\rm\implies y = -4 [/tex]
Put x = -1 :-
[tex]\rm\implies y = -1^2-1-6\\[/tex]
[tex]\rm\implies y = 1 -1-6 \\[/tex]
[tex]\rm\implies y = -6 [/tex]
Put x = 1 :-
[tex]\rm\implies y = 1^2+1-6\\ [/tex]
[tex]\rm\implies y = 2 -6[/tex]
[tex]\rm\implies y = -4[/tex]
Put x = 2 :-
[tex]\rm\implies y = 2^2+2-6\\ [/tex]
[tex]\rm\implies y = 4 +2-6\\ [/tex]
[tex]\rm\implies y = 2[/tex]
Put x = 3 :-
[tex]\rm\implies y = 3^2+3-6\\ [/tex]
[tex]\rm\implies y = 9 +3-6\\ [/tex]
[tex]\rm\implies y = 6 [/tex]
Final table :-
[tex]\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}[/tex]
please help me out! i absoluten don’t get this :(
Answers
Answer:
Option B
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-5, -2) and (3, -1) will be,
m = [tex]\frac{-1+2}{3+5}[/tex]
m = [tex]\frac{1}{8}[/tex]
Equation of the line passing through (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of the line passing through (3, -1) and slope = [tex]\frac{1}{8}[/tex] will be,
[tex]y+1=\frac{1}{8}(x-3)[/tex]
[tex]y=\frac{1}{8}x-\frac{3}{8}-1[/tex]
[tex]y=\frac{1}{8}x-\frac{11}{8}[/tex]
Option B will be the answer.
Help with this please!
Answers
Answer:
A
Step-by-step explanation:
The correct answer is A
Use a calculator to find the mean of the data. {21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2}
Answers
Answer:
The mean of the data is 21.41
Step-by-step explanation:
To find the mean of a data set you must...
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
The mean of the data set 21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2 is 21.41 the asnwer is 21.41.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
We have a data set:
{21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2}
As we know from the definition of the mean:
The mean can be calculated using the formula:
Mean = sum of the data set/number of the data in the data set
Mean = 471/22
Mean = 21.409 ≈ 21.41
Thus, the mean of the data set 21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2 is 21.41 the asnwer is 21.41.
Learn more about the mean here:
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The length of a ladder leaning against a building is 60 feet. The ladder hits the building at the top of the building. The distance to the building from where the ladder touches the ground is 15 feet. What is the height of the building to the nearest foot?
A. 38ft
B. 48ft
C. 58ft
D. 68ft
Answers
Answer:
C. 58ft
Step-by-step explanation:
An imaginary triangle is described here. The hypotenuse is 60, and one of the other sides is 15.
60*60=3600
15*15=225
3600-225=3375
sqrt3375=58.09
round that to get 58ft
There are about 320 million people living in the United States. Of these, how many would you predict wear corrective lenses?
Answers
Answer:
243840000 people
Step-by-step explanation:
The total sample size = 1000
Samole proportion of those who wear corrective lenses :
p = x / n ; n = sample size
p = 762 / 1000 = 0.762
To predict the number of people who wear corrective lenses :
Total population * p
320,000,000 * 0.762
= 243840000 people
Answer:
243840000
Step-by-step explanation:
Alonzo finish history assignment and 5/8 hours then he completed his math assignment and 1/3 hours what was the total amount of time allowed to spend doing these two assignments
Answers
Step-by-step explanation:
The answer is 5/8 + 1/3
Answer = 5*3 /(8*3) +8/24 =23/24
Answer = 23/24
n-1 increased by 110%
Answers
Answer:
2.1n-2.1
Step-by-step explanation:
The increase is
1.10 (n-1)= 1.1n -1.1
Add this to the original amount
(n-1) + 1.1n - 1.1
2.1n-2.1
A triangle is rotated 90º about the origin. Which rule describes the transformation?
Answers
Write functions for each of the following transformations using function notation. Choose a different letter to represent each function. For example, you can use R to represent rotations. Assume that a positive rotation occurs in the counterclockwise direction.
translation of a units to the right and b units up
reflection across the y-axis
reflection across the x-axis
rotation of 90 degrees counterclockwise about the origin, point O
rotation of 180 degrees counterclockwise about the origin, point O
rotation of 270 degrees counterclockwise about the origin, point O
please use this format:
T(x, y) = (x + 6, y)
T<6, 0>(x, y) = (x + 6, y)
T6, 0(x, y) = (x + 6, y)
Answers
Answer:
[tex](a)\ T_{a,b} =(x +a,y+b)[/tex]
[tex](b)\ F_{y\ axis} = (-x,y)[/tex]
[tex](c)\ F_{x\ axis} = (x,-y)[/tex]
[tex](d)\ R_{o,90^o} = (-y,x)[/tex]
[tex](e)\ R_{o,180^o} = (-x,-y)[/tex]
[tex](f)\ R_{o,270^o} = (y,-x)[/tex]
Step-by-step explanation:
Solving (a): Translate a units right, b units up
When a function is translated a units right, the number of units will be added to the x coordinate
When a function is translated b units up, the number of units will be added to the y coordinate.
So, we have:
[tex]T_{a,b} =(x +a,y+b)[/tex]
Solving (b): Reflect across y-axis
When a function is translated across the y-axis, the x coordinate gets negated.
So, we have:
[tex]F_{y\ axis} = (-x,y)[/tex]
Solving (c): Reflect across x-axis
When a function is translated across the x-axis, the y coordinate gets negated.
So, we have:
[tex]F_{x\ axis} = (x,-y)[/tex]
Solving (d): 90 degrees rotation counterclockwise
When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.
So, we have:
[tex]R_{o,90^o} = (-y,x)[/tex]
Solving (e): 180 degrees rotation counterclockwise
When a function is rotated 180 degrees counterclockwise, the coordinates are negated.
So, we have:
[tex]R_{o,180^o} = (-x,-y)[/tex]
Solving (f): 270 degrees rotation counterclockwise
When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.
So, we have:
[tex]R_{o,270^o} = (y,-x)[/tex]
25% of £90
Work it out
Answers
Answer:
22.5
Step-by-step explanation:
percent is any number over 100, so 25% is 25 over 100, this means that 25% can be written as:
25100
Now, any number in fractional form (a number over a number) is the same as division so 25% can also be written as a decimal, we just move the decimal point 2 places to the right of 25, like this:
25100=0.25
Now we have two ways that we can solve this problem! I'll start with the fractional method of solving.
write the following decimal number in word 0.969?
Answers
Answer:
nine hundred sixty
nine thousandths
Step-by-step explanation:
Help me determine Rise/run
Answers
Answer:
The dots shown on the graph have a rise of 6 and a run of 4 (so 6/4)
This fraction can be reduced so your answer is 3/2
