3 is an element in the domain of the function g(x)= -2x - 4 . What is the corresponding element in the range?
Hello! :)
[tex]\large\boxed{g(3) = -10}[/tex]
If 3 is apart of the domain, then x = 3.
The range is equivalent to g(x), or the y-value. To solve for this when x = 3, we must plug 3 into the equation:
g(x) = -2x - 4
g(3) = -2(3) - 4
Simplify:
g(3) = -6 - 4
g(3) = -10
Please help me with this question I am really confused
Step-by-step explanation:
The answer is consistent
The polynomial - 16t+ vt +s, represents the height (in feet) of an object, where v is the
initial vertical velocity (in feet per second), s, is the initial height of the object (in feet), and t is the time in seconds). Write a
polynomial that represents the height of the object. Then find the height of the object after 1 second
Answer:
At 1.5 seconds and 2.5 seconds
Step-by-step explanation:
Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.
Set that equal to 0 and factor to solve for t:
Using the quadratic formula, we get t = 1.5 and t = 2.5
The height of the object after 1 second is 229 feet.
It is required to find the height of the object after 1 second.
What is polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations. sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.
Given:
The polynomial - 16t² + vt+ s, represents the height (in feet) of an object,
where
v is the initial vertical velocity (in feet per second),
s, is the initial height of the object (in feet),
t is the time in seconds.
We are given;
v(o) = 45 ft/s
s(o) = 200 ft
According to given question we have,
Thus, polynomial that represents the height is;
h(t) = -16t² + vt+ s,
After a time of 1 second, height is;
h(1) = -16(1)² + 45*1+ 200
h(1) =-16+45+200
h(1) =229 feet
Therefore, the height of the object after 1 second is 229 feet.
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A poker deck consists of fifty-two cards, representing thirteen denominations (2 through ace) and four suits (diamonds, hearts, clubs, and spades). A five-card hand is called a flush if all five cards are in the same suit but not all five denominations are consecutive. Pictured below is a flush in hearts. Let N be the set of five cards in hearts that are not flushes. How many outcomes are in N
Answer:
10
Step-by-step explanation:
Let N represent the set of 5 hearts cards that are not flushes
From the image attached below; there are thirteen (13) denominations on deck
i.e. (A,K,Q,J,10,9,8,7,6,5,4,3,2) in the deck
Let us take an integral look at the set of cards that contains consecutive dominations in hearts. Relating them from the lowest denomination to the highest denomination. Also, for hand to be in a straight all cards, they must be in consecutive order.
So, starting from the lowest straight A-2-3-4-5 to the highest straight, we would have a royal flush 10, J, Q, K, A
∴
[tex]N = \left \{ {{(A,2,3,4,5,),(2,3,4,5,6),(3,4,5,6,7),(4,5,6,7,8)(5,6,7,8,9)} \atop {(6,7,8,9,10),(7,8,9,10,J),(8,9,10,J,K),(9,10,J,K,L),(10,J,Q,K,A)}} \right. \}[/tex]
Hence, the total no of outcome for N = 10
let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.
9514 1404 393
Answer:
(x, y) = (8, 2)
Step-by-step explanation:
The relevant equations are ...
3x -y = 22
x +2y = 12
__
We can eliminate y by adding twice the first equation to the second.
2(3x -y) +(x +2y) = 2(22) +(12)
7x = 56
x = 8
Substituting into the first equation gives ...
3(8) -y = 22
y = 24 -22 = 2
The first number is 8; the second number is 2.
f(x) = V2x
g(x) = V50x
Find (f .g)(x). Assume x2 0.
Answer:
(F.g)(x)
F 2x
50(2x)
=100x
Question: f(x)= √2x
g(x)= √50x
Find (f*g) (x). Assume x ≥ 0.
(f*g)(x)=10x
is a set that is contained in a larger set.
Answer:
I- What? yes?
Step-by-step explanation:
1. How do you find the slope in a graph?
How many minutes in 255 seconds A)2 11/12 B)3 5/12 C)3 3/4 D) 4 1/4
Answer:
4 1/4
Step-by-step explanation:
divide 255 by 60
Martin has 5 cups of flour if he needs 1/4 cups of flour for one jumbo cookie how many jumbo cookies can he make?
A. 20
B. 5
C. 4
D. 24
Answer:
martin can make 20 jumbo cookies
Determine the value of the missing sides for the following triangle
Answer:
There is no picture or diagram so add them and i can edit this answer, look at paperclip sign first take picture screen shot then add pic on paperclip edit button here.
Step-by-step explanation:
For missing sides of a triangle we do the following.
Does it have a right Angle determine other angle measures, say if an external angle on a straight line showed 145 then its adjoing interior would be 180-145=35 degree.
Are the measure of the lengths congruent with a larger or smaller triangle shown.
If yes then if one triangle showed 4 and same triangle showed 6 and had ne missing, then the other had 8 and 10 and had one missing we would compare and if 8 was the same as 4 we would recognise the congruent triangle is x2 (scale factor 2) so measure 6 woyuld also be measure 12 for the other triangle. and then to find the smaller missing side we see 10 is left over and 10/2 = 5
Other ways to find length is through Pythagoras we use the squares a^2 + b^2 = c^2 for missing slant
and c^2 - b^2 = a^2 for any missing side
so a represents any missing side for the second equation and c represents the missing side if it is a slant only.
B
6
8
A
х
D
с
x = [?]
9514 1404 393
Answer:
3
Step-by-step explanation:
The angle bisector BD makes left-side segments proportional to right-side segments. We see that CD is half of CB, so we expect the same proportion between AD and AB.
AD/AB = CD/CB
x/6 = 4/8 = 1/2 . . . . fill in the values, simplify the fraction
x = 6(1/2) . . . . . . . . multiply by 6
x = 3
amy borrowed money from the lending company at 6% interest if she paid an interest of php450.00 after 19months how much money did she borrow
Answer:
She borrowed php4737.00.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
6% interest:
This means that [tex]I = 0.06[/tex]
19 months:
An year has 12 months, so [tex]t = \frac{19}{12} = 1.5833[/tex]
She paid an interest of php 450. How much money did she borrow
This is P when [tex]E = 450[/tex]. So
[tex]E = P*I*t[/tex]
[tex]450 = P*0.06*1.5833[/tex]
[tex]P = \frac{450}{0.06*1.5833}[/tex]
[tex]P = 4737[/tex]
She borrowed php4737.00.
The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set.
, , , , , , , , ,
Find x. (More info in the picture)
Answer:
The answer is 3.
Step-by-step explanation:
The table shows the amount of apple
sauce made from one apple of each size.
Patrice has 17 medium apples and 23
large apples. What is the total amount
of apple sauce that she can make with
these apples?
Patrice can make a total amount of 25.75 cups of apple sauce.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Patrice has 17 medium apples and 23 large apples.
Amount of apple sauce form a small apple = 1/3 cup
But Patrice does not have any small apples.
Amount of apple sauce from a medium apple = 1/2 cup
Amount of apple sauce from 17 medium apples = 17 × 1/2 cups
= 8.5 cups
Amount of apple sauce from a large apple = 3/4 cup
Amount of apple sauce from 23 large apples = 23 × 3/4 cups
= 17.25 cups
Total apple sauce made from 17 medium apples and 23 large apples = 8.5 cups + 17.25 cups = 25.75 cups
Hence the total amount of apple sauce that Patrice can make is 25.75 cups.
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i need help asap do tonight
Answer:
The first one..
Step-by-step explanation:
Answer:
The top one
Step-by-step explanation:
If you minus 19-10 you get 9 then if you divide 9 by 3 you get 3 which means that each soda costs 3 bucks
What is the length of arc S shown below? Enter an exact expression. The angle in the figure is a central angle in radians.
Answer:
h
Step-by-step explanation:
n
Answer:
the answer is 18π/5
Step-by-step explanation:
A Central angle (θ) measured in radians tells us how many times the radius fits into the arc.
arc length ÷ radius = θ
arc length = θ · radius
S = 3π/5 · 6 cm
S = 18π/5 cm
Therefore the answer is 18π/5
Work out 27 ÷ 9 + 9
Work out 4 + 5 x 3
Work out -9 + -4
) Work out 9 - -5
Answer:
1. 27/9=3+9=12
2. 4+5x3=5x3=15+4=19
3. -9+-4=-13
4. 9--5=14
Pls help im failing I’ll brainlest for the right answer
Answer:
65 miles per hour
Step-by-step explanation:
Challenge A large university accepts 60% of the students who apply. Of the students the university
accepts, 35% actually enroll. If 10,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Answer:
man i cant really say
Step-by-step explanation:
11a + 22 + 17a - 6 S I M P L I F I E D
Answer:
28a +16
Step-by-step explanation:
11a + 22 + 17a - 6
28a +16
Answer:
28a + 16
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variables, as well as same amount of that variable.
In this case:
11a + 17a + 22 - 6
(11a + 17a) + (22 - 6)
28a + 16
28a + 16 is your answer.
~
What is the height of a triangle, if the area is 20 square inches and the base is 5 inches? Be sure that you can explain how you found your answer.
so normally we would be finding the area of a triangle which is a=h*b/2
but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way
20=1/2(5)h
20=2.5
8=h
and to find out if that was correct lets do 8*5=40 40/ 2 =20 so this is correct
the height is 8
Answer:8
Step-by-step explanation:
An employee at a gift shop earns $72.00 for working 9 hours. At this hourly rate, what should the employee earn for a 40-hour work week?
Answer:
The employee would earn $320 for a 40-hour work week.
Step-by-step explanation:
Given
Total Earning amount = $72.00Total Time taken = 9 hoursTo determine
We have to find the employee's earning earn for a 40-hour work week.
First Step
Determining the hourly rate
In order to determine the hourly rate, the first step we need to do is to divide the earning amount by the total number of hours.
Hourly rate = Total Earning amount / Total Time taken
= $72.00 / 9 hours
= $8.00 per hour
Second Step
Determining the employee's earning earn for a 40-hour work week.
As we have already determined that employee is earning $8.00 per hour.
i.e.
Hourly rate = $8.00 per hourIn order to determine the employee's earning for a 40-hour work week, all we need is to multiply the hourly rate i.e. 8 with 40.
Thus,
Earning for 40-hour work week = Hourly rate × 40
= 8.00 × 40
= $320
Therefore, the employee would earn $320 for a 40-hour work week.
A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.
Receiver: Kenwood, Sony, Sherwood
Compact disc player: Onkyo, Pioneer, Sony, Technics
Speakers: Boston, Infinity, Polk
Turntable: Onkyo, Sony, Teac, Technics
A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:
A. In how many ways can one component of each type beselected?
B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?
C. In how many ways can components be selected if noneis to be sony?
D. In how many ways can a selection be made if at leastone sony component is to be included?
E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?
Answer:
Step-by-step explanation:
A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.
Receiver: Kenwood, Sony, Sherwood
Compact disc player: Onkyo, Pioneer, Sony, Technics
Speakers: Boston, Infinity, Polk
Turntable: Onkyo, Sony, Teac, Technics
A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:
A. In how many ways can one component of each type beselected?
B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?
C. In how many ways can components be selected if noneis to be sony?
D. In how many ways can a selection be made if at leastone sony component is to be included?
E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?
Alma and Crystal went out to et and spent $16. They wanted to tip the waitress 15%, what was the total cost of their meal including tip?
A: 2.40
B: 18.40
C: 4.80
D: 46.80
Answer:
B: $18.40
Step-by-step explanation:
100% is equal to $16 so 5% would be 16/20 or $0.80 then to get 15% you would multiply $0.80 by 3 which is $2.40. This is the tip. Then do $16 + $2.40 and the total + tip is $18.40. (Double check to make sure I'm correct)
Answer:
I dont know
Step-by-step explanation:
I don’t know
the sale price for swimming lessons is $20 per hour. The sale price for new student and 75% of the regular price
Answer:
Step-by-step explanation:
Your answer
New student price = 15$
Mark it as Brainlist answer. Follow me.
Simplify 2a + 4b + 3a – b
Step-by-step explanation:
2a+4b+3a-b
2a+3a+4b-b
5a+3b
Answer:
5a +3b
Step-by-step explanation:
u need to find the like terms
2a +3a and add them = 5a
+4b -b which = 3b
then combine the awnser to make
5a + 3b
hope this help comment if not
please help me
I need help bad
Answer:
C)
Step-by-step explanation:
I hope this helps :)
If f(x) = 2x^3 – 5x^2 + 5, then what is the remainder when f(x) is divided by
x + 2?
Answer:
-31
Step-by-step explanation:
Do long division and make sure to put a place holder for x