Select the correct answer.
What is the range of the function f(x) = 4x + 9, given the domain D={-4,-2,0, 2}?
Answers
Given:
The function is
[tex]f(x)=4x+9[/tex]
Domain = {-4, -2, 0, 2}
To find:
The range of the given function for the given domain.
Solution:
We know that domain is the set of input values and range is the set of output values.
We have, [tex]f(x)=4x+9[/tex] and domain = {-4, -2, 0, 2}.
Putting x=-4 in the given function, we get
[tex]f(-4)=4(-4)+9[/tex]
[tex]f(-4)=-16+9[/tex]
[tex]f(-4)=-7[/tex]
Putting x=-2 in the given function, we get
[tex]f(-2)=4(-2)+9[/tex]
[tex]f(-2)=-8+9[/tex]
[tex]f(-2)=1[/tex]
Putting x=0 in the given function, we get
[tex]f(0)=4(0)+9[/tex]
[tex]f(0)=0+9[/tex]
[tex]f(0)=9[/tex]
Putting x=2 in the given function, we get
[tex]f(2)=4(2)+9[/tex]
[tex]f(2)=8+9[/tex]
[tex]f(2)=17[/tex]
The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.
Therefore, the correct option is D.
Related Questions
Use your scratch paper to draw a coordinate plane and plot the following data set: (4,3), (1,2), (9.1), (10,2), (9,10), (1,7),(5,0), and (6,1),
What type of association exists between the data points?
Answers
Answer:
3,)ft
Step-by-step explanationpads: 1 7(.9t
Help!please do this fast!!!
Answers
Answer:
The ordered pair works for the first equation on the top, but not the second equation on the bottom.
Step-by-step explanation:
You have to plug in the x and y values into the equations:
x - 2y = -6
2 - 2(4) = -6
That equation works.
...now for the next one...
3x + 2y = 12
3(2) + 2(4) = 12
That equation doesn't work.
Hope this helps!
Observe:
2-2(4)=-6
-6=-6 this is a true statement
3(2)-2(4)=12
6-8=12
-2≠12 this is a false statement
Therefore the solution 2,4 doesn’t apply to the system since it only applies to one of the equations
I WOULD LIKE AN ACRUAL EXPLANATION, I NEED TO UNDERSTAND THIS, THANK YOU
csc^-1 4.25 to degrees
Answers
9514 1404 393
Answer:
13.609°
Step-by-step explanation:
The csc^-1 function is the arccosecant function. It gives the angle whose cosecant is given. If we let A represent that angle, your statement is ...
A = csc^-1(4.25)
It is used to solve the relation ...
4.25 = csc(A)
__
Some calculators can give you the value directly (see attached). Most cannot. In any event, you need to make sure the angle mode for the calculator is set to degrees.
When your calculator does not have the csc^-1 function, you can make use of the trig identity ...
csc(x) = 1/sin(x)
In the above equation, this becomes ...
4.25 = 1/sin(A)
sin(A) = 1/4.25 . . . . . solve for sin(A)
All scientific and graphing calculators will have the inverse sine (arcsine) function.
A = sin^-1(1/4.25)
A ≈ 13.609° . . . . . . . calculator mode in Degrees
_____
Additional comment
For inverse functions, especially inverse trig functions, I find it useful to read them as ...
csc^-1(x) ⇒ "the angle whose cosecant is x"
sin^-1(x) ⇒ "the angle whose sine is x"
This reminds me that the value it gives is an angle (degrees or radians), and the argument it takes is a pure number (one with no units).
Yhe length of a rectangler garden is four times its width w plus 3 feet. Ehich expression represnts the garden length in feet
Answers
Answer:
l = 4w + 3
Step-by-step explanation:
What is the best estimate of the total number of crabs found in the Mid-Atlantic region? Help please
Answers
Answer:
100
Step-by-step explanation:
because i got it right
Derek earns $ 4800 in 3 months. what is his annual income
Answers
Answer: Annual Income Is $192000
Step-by-step explanation:
firstly know one month income we divide by 48000 by 3
= 16000
we know one month income 16000
than we for know annual income we multiply by 12
16000×12 =192000
annual income is $192000
Is this non linear or linear?
Answers
Jerome bought 2 postcards and received $1.50 in change in quarters,dimes. And nickels.The nickels, were worth $0.15.If he got 9 coins, back how many of each coin did he get
Answers
Answer:
Jerome got 5 quarters, 1 dime and, and 3 nickels.
Step-by-step explanation:
Let's define the variables:
N = number of nickels he got
D = number of dimes he got
Q = number of quarters he got
We know that the nickels were worth $0.15
And each nickel is whort $0.05
Then:
N*$0.05 = $0.15
N = $0.15/$0.05 = 3
N = 3
Now we also know that there is a total of 9 coins, then:
N + D + Q = 9
3 + D + Q = 9
D + Q = 9 - 3 = 6
D + Q = 6
And we also know that the total change received is $1.50, then:
D*$0.10 + Q*$0.25 + N*$0.05 = $1.50
We know that N = 3, then we can replace that and get:
D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50
D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35
D*$0.10 + Q*$0.25 = $1.35
Then we have two equations:
D + Q = 6
D*$0.10 + Q*$0.25 = $1.35
To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:
D = 6 - Q
Now we can replace this in the other equation:
(6 - Q)*$0.10 + Q*$0.25 = $1.35
Now we need to solve this for Q.
$0.60 - Q*$0.10 + Q*$0.25 = $1.35
Q*$0.15 = $1.35 - $0.60 = $0.75
Q = ($0.75)/($0.15) = 5
Q = 5
Then Jerome has 5 quarters.
Now we can return to the equation:
N + Q + D = 9
We already know that:
N = 3
Q = 5
Then if we replace those in the equation, we get:
3 + 5 + D = 9
8 + D = 9
D = 9 - 8 = 1
D = 1
Find the solutions of the inequality and complete the statements. The solutions of the inequality include all numbers . There are solutions of the inequality.
Answers
Answer:
All numbers greater than 40;
Infinite
Step-by-step explanation:
Given the inequality :
h > 40
The solution to the inequality is any number, h which makes the inequality expression true.
Hence, it includes all numbers, h greater than 40 ; beacuase every number greater than 40 represents a true inequality statement.
The number of solutions to the inequality is infinite because the number of solution is not confined to a certain specify. Range.
Answer
It's A and C
Step-by-step explanation:
I just finished my test
Josh and Lucy share some money in the ratio of 3 : 7 they share 84 in total how much money does Josh receive
28
58.80
25.20
8.40
Answers
PLEASE ANSWER PLEASE HURRRY!!!!! PLEASEEEEE
Answers
Answer:
the answer is D (4,-8)
Step-by-step explanation:
Its 4,-8
This is a complemntary angle. Solve for X
(Hi pls pls solve this! I will give someone the brainlest no bs)
Answers
Answer:
x = 30
Step-by-step explanation:
We start off with 90 degrees
2x + x = 90
Add all like terms
3x = 90
Divide 3 on both sides
[tex]\frac{3x} {3} = \frac{90} {3}[/tex]
x = 30
To check your answer:
Let x be 30
2x + x = 90
2 (x 30) + 30 = 90
60 + 30 = 90
90 = 90
Find the new price of a 10% markup on the original price of $36.00
Answers
36 + 3.6 = $39.60
You and your friend complete video game levels at the same rate. You complete 5 levels in 45 hours. How many levels does your friend complete in 9 hours?
DO TODAY PLZ HELP
Answers
Answer:
Your friend completes 1 level in 9 hours
Answer: 1 level in 9 hours 45/5 is 9 so it takes 9 hours to finish a level that means he can only do one level in 9 hours
Step-by-step explanation:
chords!
please please please help me solve for x
Answers
Answer:
x = 3
Step-by-step explanation:
arc KP = 50 degrees
arc KRQ = 2(110) = 220 degrees
arc 30x = 360 - 220 - 50 = 90 degrees
30x = 90
x = 3
Expand and simplify (x - 9)(x + 2)
pls, help need it ASAP!!
Answers
(
−
9
)
(
+
2
)
(
+
2
)
−
9
(
+
2
)
Answer:
x squared - 7x -18
Step-by-step explanation:
x * x = x^2
x * 2 = 2x
-9 * x = -9x
-9 * 2= -18
x^2-7x-18
A rectangle has a base of x squared y
inches, and a height of
inches.
The area of a rectangle is A = bh.
What is the area of this rectangle in square inches?
Answers
Answer:
i don’t know
Step-by-step explanation:
Area of a circle 6ft
Answers
Answer:
Ok
Step-by-step explanation:
What do you want us to figure out? Did you forget the picture?
A= 6 ft
k + 12 greater or equal than20, if k = 15
Answers
Answer:
"k+12" IS greater than 20. If in this hypothetical question.
Step-by-step explanation:
Please brailiest me
Answer:
yes it is right decause:-
15+12=27 in which 27 is greater than 20
solve the right triangle. round your answer to the nearest tenth
Answers
Answer:
?
Step-by-step explanation:
answer asap thanks!!
Answers
Step-by-step explanation:
(5-\/5)²
25-10\/5+5
30-10\/5
Here, a=30 and b=-10
Find the circumference of the circle to the nearest tenth. Use 3.14 for p. The length from the center of the circle is 17in
Answers
Answer:
circumference = 106.76Step-by-step explanation:
radius = 17 inches
π = 3.14
circumference = 2×π×radius
= 2×3.14×17
= 6.28 × 17
= 106.76
what is this in slope intercept form?
Answers
Answer:
y=3/2x+2.5
Step-by-step explanation:
I'm confused. Can someone help and also lmk how to work it out? :)
Answers
Answer:
£5
Step-by-step explanation:
5 boxes will cose 5 x 15.40 = 77 normally.
according to the table, he will get 6.5% discount.
6.5 percent of 77 is 77x0.065 = 5.005 ≈ 5
Answer:
he orders 5 boxes of paperclips, that comes around to 77 dollars. That means he will get a 6.5 percent discount. So you would multiply 77 by .065 and you would get 5.005. You would take that number and subtract it by 77 and would get 71.995 and you can round that up to 72 dollars. My guess is that either 72 or 5.005 is the answer as 72 dollars is the price after the discount and 5.005 is how much he is saving
Step-by-step explanation:
Ursula scored 8 points in the second half of her basketball game. In total, she scored 32 points during the entire game. Click on the equation that can be used to determine how many points, p, Ursula scored in the first half of the game.
Answers
Answer:
.
Step-by-step explanation:
.
-7+n/5=-11
Solve it down here
Answers
Answer:
n = -20
Step-by-step explanation:
-7 + [tex]\frac{n}{5}[/tex] = -11
*multiply both sides by 5*
-35 + n = -55
*add 35 to each side*
n = -55 + 35
*calculate the sum*
n = -20
Help me please please
Answers
Answer:
a. 45 + 20x
30 + 26x
b. 2.5 hours
c. 95
Step-by-step explanation:
45 + 20x = 30 + 26x
subtract 30 from both sides of the equation
15 + 20x = 26x
subtract 20x from both sides of the equation
15 = 6x
divide 6x on both sides of the equation
2.5 = x
3) In the diagram shown, circles with centers at points A and B intersect at points Cand D. Segments AC, BC, AD and BD have been drawn to form quadrilateral ACBD. Circle A has a radius of length 5 cm and circle B has a radius of 3 cm. What is the perimeter of ACBD? Justify. (3 points)
Answers
Answer:
16 cm
Step-by-step explanation:
Whatever the positions of A and B changed, AC always = AD = 5 cm
and BC = BD = 3 cm
perimeter of ACBD = 2*5 + 2*3 = 16 cm
Will give brainliest! Given the 3 lengths of a triangle are 6 in, 8 in, and 11 in. A) Will this make a triangle? B) Will it be a right triangle?
Answers
Answer:
yes and no
Step-by-step explanation:
l
WILL GIVE BRAINLIEST
When melissa is born her parents invested 2,000 in a fund that paid an annual interest of 6%. How old will melissa be when the investment is worth at least $5,000?
Answers
Answer:
25 years
Step-by-step explanation:
Given data
Principal P= $2000
Interest rate r= 6%
FInal amount A=$5,000
The simple interest formula is given as
A=P(1+rt)
substitute and solve for t
5000=2000(1+0.06*t)
5000=2000+120t
5000-2000=120t
3000=120t
t= 3000/120
t= 25 years
Hence, for a simple interest investment, she will be 25 years