Answers
Answer:
B
Step-by-step explanation:
Notice that the function gives us 1 in the ordinate for an abscissa of 3.
Let's try each expression and see the outcome.
A. g(3)= (1/3)*9
=3
that is false
B. g(3)= [(1/3)*3]²
= 1
that is True!
we found the answer but let's try the rest
C. g(3)= 3*3²
= 27
False
D. g(3)= [(1/9)*3]²
= 1/9
Related Questions
Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $4$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answers
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Answer:
31:9
Step-by-step explanation:
Let $A$ and $B$ be the amount of money Alice and Bob have, respectively, at the beginning. We know that
\begin{align*}
A + n &= 4(B - n),\\
A - n &= 3(B + n).
\end{align*}
Simplifying, we have
\begin{align*}
A + 5n &= 4B, \\
A &= 3B + 4n.
\end{align*}Subtracting the first equation from the second gives $5n = B - 4n$, so $B = 9n$. Substituting this into the first equation gives $A + n = 4(9n - n)$, from which we get $A = 31n$.
Therefore, the desired ratio is $\frac{A}{B} = \frac{31n}{9n} = \boxed{\dfrac{31}{9}}$.
rationalize the denominator of
1/3+√2
Answers
Answer:
(-√2 + 3)/7
Step-by-step explanation:
To rationalize the denominator, we need to multiply by the conjugate:
1/(3 + √2)*(3 - √2)/(3 - √2)
(3 - √2)/(9 - √4)
(3 - √2)/(9 - 2)
(-√2 + 3)/7
Whats TWO expressions that are equal to 2(3j+ 5 + 6j). REMEMBER I NEED TWO. ANSWER GETS BRAINLEST, 10 POINTS, 5 STARS, AND A THANKS.
Answers
Answer: I hope this helps!!!
Step-by-step explanation:
Phrase 1: 18j+10
Phrase 2: 2(9j+5)
Answer:
see explanation
Step-by-step explanation:
Given
2(3j + 5 + 6j) ← distribute the parenthesis by 2
= 6j + 10 + 12j ← equivalent expression ( collect like terms )
= 10 + 18j ← equivalent expression ( factor out 2 from each term
= 2(5 + 9j) ← equivalent expression
Worker A could paint a whole room in 2 hours. Worker B could paint a whole room in 3 hours.
How many parts of the room could both of them paint in 1 hour if worker A and worker B worked together.
Answers
half of room because worker A can paint fast so he will paint fast
Answer:
5/6 of the room would be painted if both of them painted the room together in 1 hour
Step-by-step explanation:
Work done by A in 1hour=1/2
Work done by B in 1hour=1/3
Therefore total work done by both in 1hr=1/2+1/3
LCM of 2 and 3 is 6
therefore 1/2+1/3=3/6+2/6=5/6
Round 0.0008873319 to 2 significant figures
Answers
Answer:
0.00089.
Step-by-step explanation:
The third significant figure is 7 so we round up the 8,
Which table of values corresponds to the graph below? On a coordinate plane, a line goes through points (0, 0), (3, 1), and (6, 2). A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 3, 0, 3, 6. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 1, 0, 1, 6.
Answers
Answer:
Table 1
Step-by-step explanation:
Points on the graph:
(0, 0), (3,1), (6,2)Points according to tables, compared to points on the graph:
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2.
(-3, -1), (0,0), (3,1), (6,2)- yesA 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 3, 0, 3, 6.
(-1,-3), (0, 0), (1,3), (2, 6)- not matchingA 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2.
(-1,-1), (0,0), (1,1), (6,2) - not matchingA 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 1, 0, 1, 6.
(-1, -1), (0, 0), (1,1), (2,6)- not matchingThe data of table 1 satisfies the graph.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
Points on the graph: (0, 0), (3,1), (6,2)
Now, comparing these points with the table we have
Coordinates according to table - 1
(-3, -1), (0,0), (3,1), (6,2)
As, the coordinates matches with the table.
Hence, table-1 satisfies the situation.
Learn more about graph here:
https://brainly.com/question/16608196
#SPJ2
120 decreased by 45%
Answers
Answer:
Try 66 For your answer......
Dan is 8 years older than Fiona. Gavyn is 9 years younger than Fiona. If the total of their ages is 56, how old is the eldest of them?
Answers
Answer:
27
Step-by-step explanation:
If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:
x + x + 8 + x - 9 = 56
3x - 1 = 56
3x = 57
x = 19
The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.
The minimum weekly commission earned to be a STAR sales person is $9000. If Sandra receives a 12% commission on the sale of all cars, write and solve an inequality to represent the minimum number of cars she must sell in order to be a sales person
Answers
Answer:
[tex]numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}[/tex]
Step-by-step explanation:
Hello, I can help you with this
Step 1
define
The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M
if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person
Step 2
using a rule of three find the 100%
if
12% ⇔ $9000
then
100% ⇔x
the ratio is
[tex]\frac{12}{9000}=\frac{100}{x}\\[/tex]
Now, solve for x
[tex]\frac{12}{9000}=\frac{100}{x}\\\\\frac{12*x}{9000}=\frac{100}\\\\{12x}=9000*100\\\\12x=900000\\x=\frac{900000}{12}\\ x=75000\\[/tex]
so, Sandra must sell a minimun of $75000
Now, to give a response, we need to asume a only price for every car(p).
now, in matemathical terms.
the minimun number of cars she must to sell is
minum number of cars sandra has to sell to become a STAR sales person
is [tex]\frac{75000}{price\ of\ the\ car} \\[/tex]
[tex]\frac{75000}{price\ of\ the\ car} \\[/tex]
now, price of the car* number of the car = 75000
where
[tex]numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}[/tex]
Have a nice day
Write the equation 22x - 2y = –18 in slope-intercept form (y=mx+b).
Answers
Answer:
[tex]y=11x+9[/tex]
Step-by-step explanation:
[tex]22x - 2y = -18\\\text{Rearrange to isolate y term.}\\-18-22x=-2y\\2y=22x+18\\\text{Divide by the y coefficient.}\\\frac{2y}{2}=\frac{22x+18}{2}\\y=11x+9[/tex]
Answer:
y=11x+9
Step-by-step explanation:
22x - 2y = –18 in slope-intercept form (y=mx+b)
-2y=-18-22x or
-2y=-22x-18
y=-22/-2 x-18/-2
y=11x+9
Amy must form a three-letter arrangement using only letters from the word dice. She cannot use a letter more than once in the arrangement. (Her arrangement doesn't need to be a valid word.) The probability that Amy forms an arrangement that begins and ends with vowels is _____. The probability that Amy forms an arrangement whose letters are in alphabetical order (ascending or descending) is ______.
Answers
Answer #1: [tex]\frac{1}{2}[/tex]
Answer #2: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
__ __ __
There are 4 × 3 × 2 possibilities. For the first question, "The probability that Amy forms an arrangement that begins and ends with vowels is _____." To have a her word end in a vowel, then her word will have to end in either 'e', or 'i'. For this to be possible there are two possibilities for the last letter. Then the middle letter will have three possibilities because one letter will have been used for the last one. Finally, there will be two more possibilities for the letter at the end. That's 2 × 3 × 2 possibilities.
To get a word whose arrangement is in alphabetical order either backwards or forwards I just listed possibilities:
CDE
CDI
CEI
IDC
IEC
IED
There are six in all which means the answer to problem two is six out of twenty four.
A is 0.5 and b is 1
10. The sum of two numbers is 13 more than twice the first number. Their difference is 14 less than the second number. Find each of the numbers.
Answers
The sum of two numbers is 13 more than twice the first number:
x + y = 2x +13
x - y = y - 14
solve the system of equations:
x - (x + 13) = (x +13) - 14
x = -12
y = 1
A polynomial function can be written as (x + 1)(x + 4)(x – 7). What are the x-intercepts of the graph of this function?
(1,0), (4,0), (7,0)
O(-1,0), (-4,0), (-7,0)
O (1,0), (4,0), (-7,0)
O(-1,0), (-4,0), (7,0)
Answers
Answer:
fourth option
Step-by-step explanation:
Given
f(x) = (x + 1)(x + 4)(x - 7)
To find the x- intercepts let f(x) = 0, that is
(x + 1)(x + 4)(x - 7) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
x - 7 = 0 ⇒ x = 7
x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )
Prices for a day-ticket entrance at the Day-ticket Disneyland Paris Resort are as follows Pric Entrance Adult 205 $45 E170 Children Work out the percentage discount offered with the family ticket option. 2 adults, 2 children)
Answers
Answer:
15%
Step-by-step explanation:
Price of daily tickets entrance
Adult=£55
Children=£45
Family (2 adults and 2children)=£170(discount price)
Let
price for adults=a
Price for Children=c
Price of tickets without discount for 2 adults and 2 children=2(a+c)
=2(55+45)
=2(100)
=£200
Percentage discount offered with the family tickets=difference in price/original price×100
=£200-£170/200×100
=30/200×100
=30/2
=15%
The Percentage discount offered with the family tickets=15%
Compare each whole number in the following pairs. Insert the symbol to make the statement true. a. 15 _____ 8 b. 4 _____ 134 c. 3 _____ 5 d. 351 _____ 215
Answers
Answer:
a. >
b. <
c. <
d. >
Step-by-step explanation:
15 is greater than 8
4 is less than 134
3 is less than 5
351 is greater than 215
Find the area of the triangle.
Answers
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
solve
1. (x+3) (x+4)=0
2. (2x-3)(x-1)=0
Answers
Answer:
(i) (x+3)(x+4)=0
x+3= 0 ⇒ x= -3 x+4= 0⇒ x= -4(ii) (2x-3)(x-1) =0
2x-3= 0 ⇒ 2x=3 ⇒ x= 3/2 x- 1= 0 ⇒ x= 1Which number(s) below belong to the solution set of the inequality? Check all that apply x + 30 < 60 a.300 b.1 c.29 d.30 e.50 f.45
Answers
Answer:
b and c
Step-by-step explanation:
x+30<60 -->x < 60 -30 = 30 --> x < 30
Answer:
B and C
Step-by-step explanation:
We can solve for x in the inequality just like you do when solving algebra equations of an = sign.
x + 30 < 60
x + 30 - 30 < 60 -30
x < 30
"<" means the number on the left is smaller than the number on the right. Both numbers must not be equal to each other.
Since x is smaller than 30, and is not 30,
the only option that is correct is B, 1 and C, 29.
the values of x and y vary diectly and one pair of values are given write an equation that relates x and y if x=-5 and y=10
Answers
Answer:
2x = -y
Step-by-step explanation:
In a study of pain relievers , 100 people were given product A , and all but 33 experienced relief . In the same study , 50 people were given product B , and all but 12 experienced relief
Answers
Answer:
Here we want to find the relative frequencies for both products.
for product A we have a sample of 100 people (our 100%) and all but 33 of them experienced relief.
Then, we can find the relative frequency as:
Pa = (33/100)*100% = 33%
this means that product A is not efficient in 33% of the cases.
For product B, the sample is 50 people (our 100%) and all but 12 of them experienced relief, then the relative frequency is:
Pb = (12/50)*100% = 24%.
This means that product B is not efficient in 24% of the cases.
We can see that, in percentage, the product B seems to be more efficient.
PLEASE HELP IM ON A TIMER ALSO NOBODY ANSWERED SAME QUESTION LAST TIME IM REPOSTING -3.6-1.9t+1.2+5.1t
Answers
Answer: 3.2t - 2.4
Step-by-step explanation:
Can u guys PLEASE answer this question ASAP. The line l has equation y=3x+5
1)what is the y intercept
2)what is the gradient
3)find the equation of the line that has the same y intercept as l but has a gradient of 1/2
4) find the equation of the line that has the same equation as l but has a y intercept of -2
Answers
Answer:
try to look in desmos graphic calculator
Step-by-step explanation:
Which graph represents the equation below
Answers
Answer:
c.
Step-by-step explanation:
c is the correct answer 1,4
Answer:
graph C
Step-by-step explanation:
so the equation given is [tex]f(x)=-(x+1)(x-3)[/tex]
the negative in front of the (x+1)(x-3) indicates that the parabola will reflect over the x-axis and will open downward. This eliminates graphs A and B
the (x+1)(x-3) part tells you the zeros of thr function(x-intercepts)
All you have to do is set (x+1) equal to zero and (x-3) equal to zero as shown:
x+1=0 -- subtract 1 from both sides to get -- x=-1
x-3=0 -- add 3 to both sides to get -- x=3
Therefore, -1 and 3 are your zeros or x-intercepts for the function.
Now, look at graphs C and D to see which of the two graphs passes through (-1,0) and (3,0), of course at the x-axis
The only graph that works is graph C so graph C is your answer
Which shows the correct method for solving the equation below? One-third (y minus 9) = 3 A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 6, y = 18. Column 2 is labeled property used with entries distributive property, addition property of equality, multiplication property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 27 = 3, one-third y = 30, y = 10. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 1, one-third y = 4, y = 12. Column 2 is labeled property used with entries distributive property, addition property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 0, y = 0. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.
Answers
Answer:
1st one 18
Step-by-step explanation:
you distribute the 1/3 then at 3 then multiply by 3
When I say multiply by 3 I mean 1/3=6 multiply both sides by 3
Answer:
Its A or 18
Step-by-step explanation:
thanks to the other guy
What is the midpoint of a line segment with endpoints at (0,-4) and (0,4)?
Answers
Answer: (0,0)
Step-by-step explanation:
a map is laid out in the standard (x, y) coordinate plane. how long in units, is an airplane's path on the map as the airplane flies along a straight line from city a located at (20, 14) to cuty b located at (5, 10)
Answers
Answer:
15.5 units
Step-by-step explanation:
If a plane flies from city a to city b, to determine how long in units the airplane's path on the map as the airplane flies along a straight line from city a located at (20, 14) to city b located at (5, 10), we will use the formula for calculating the distance between two points as shown.
D = √(x2-x1)²+(y2-y1)²
Given the location of city 'a' at a coordinate (20, 14) and city b at (5, 10)
x1 = 20, y1 = 14, x2 = 5 and y2 = 10
Distance between the two cities will be expressed as D = √(5-20)²+(10-14)²
D = √(-15)²+(-4)²
D = √225+16
D = √241
D ≈ 15.5 units
Hence, the airplane path on the map as it move from city a to b is approximately 15.5 units.
Find the total surface area of this triangular prism. first correct answer will get brainiest!!!
THANK YOUUU
Answers
Answer:
1930.47
Step-by-step explanation: formula=bh+(surface 1+surface 2+surface 3)H
AB is included between
A. BC and AC
B. AB and BC
C. ZB and ZC
D.A and B
Answers
Answer:
BC and AC are the answers
two numbers are in the ratio 3 : 5 if 5 is added to each the ratio becomes 2 : 3 find the number. frnds pls solve it pls it's urgent
Answers
Answer:
15 and 25
Step-by-step explanation:
x/y=3/5 ⇒ x= 3y/5
(x+5)/(y+5)= 2/3
3x+15= 2y+10 3x+5= 2y3*3y/5 +5= 2y2y- 9/5 y= 51/5y= 5y= 5*5= 25x= 3*25/5= 15Answer:
The numbers are : 15 and 25solution,
Let the number be X and y
[tex] \frac{x}{y} = \frac{3}{5} \\ or \: x \times 5 = 3 \times y \\ or \: 5x = 3y \\ or \: x = \frac{3y}{5} ............ > equation \: i \\ [/tex]
If 5 is added to each number,
[tex] \frac{x + 5}{y + 5} = \frac{2}{3} \\ or \: 3(x + 5) = 2(y + 5) \\ or \: 3x + 15 = 2y + 10 \\ or \: 3x - 2y = - 5[/tex]
putting the value of X
[tex]3 \times \frac{3y}{5} - 2y = - 5 \\ or \: \frac{9y}{5} - 2y = - 5 \\ or \: \frac{9y - 2y \times 5}{5} = - 5 \\ or \: \frac{9y - 10y}{5} = - 5 \\ or - y = - 5 \times 5 \\ or \: - y = - 25 \\ y = 25[/tex]
Replacing the value of y in equation (i)
[tex]x = \frac{3y}{5} \\ x = \frac{3 \times 25}{5} \\ x = \frac{75}{5} \\ x = 15[/tex]
The value of X is 15.
The value of y is 25.
Hence,the two numbers are 15 and 25.
Hope this helps...
Good luck on your assignment..
Which of the following is the solution set of -2|x| < -8
Answers
Answer:
x > 4 or x < -4
Step-by-step explanation:
First, you divide both sides by -2. Remember to switch the inequality.
|x| > 4. So you have to split this up:
x > 4 or x < -4
The solution set for the given inequality -2|x| < -8 is x > 4 or x < -4.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the inequality is -2|x| < -8. The inequality will be solved as,
First, you divide both sides by -2. Remember to switch the inequality.
|x| > 4.
x > 4
x < -4
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ5