Answers
Answer:
The range of the function is the set of all possible outputs, that is, the set of all values obtained by applying the function to elements of the domain. So the set of all values which can be obtained by applying h(x) to an element of its domain is {−4,0,5,60} , and thus that is the range of h(x)
Step-by-step explanation:
GOOD LUCK
Related Questions
Solve me this please
X=33500+0,2Y
Y=26500+0,1X
Answers
Answer: X= 108125 and Y = 373125.
Step-by-step explanation:
Given system :
[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]
Consider (ii)
[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]
Multiply 10 on both sides , we get
[tex]10Y-X=265000 (iii)[/tex]
Add (i) and (iii)
[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]
Put this in (i)
[tex]X= 33500+0.2(373125) =108125[/tex]
Hence, X= 108125 and Y = 373125.
The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sates after 2 and 4 weeks are 200 units and 350 units respectively.
A. S(t) = 50 [3 ln t/ln2 +1]
B. S(t) = 550 [3 ln t/ln3 +150]
C. S(t) = 50 [3 ln t/ln2 +11]
D. S(t) = 50 [11 ln t/ln2 +1]
E. S(t) = 550 [ln t/ln3 +1]
Answers
Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
what is the solution to this system? 2x+3y=12 -4x+5y=-2
Answers
answer: (3,2)
step by step explanation: :)
what type of transformation maps abc onto def
Answers
Answer:
The answer is translation :)
b) The marks obtained by 40 students in mathematics in examination are given below. Group the data into the class intervals of length 10 and construct a cumulative frequency distribution table.
42, 68, 80, 45, 92, 36, 8, 17, 49, 30
5, 26, 98, 74, 53, 65, 72, 28, 55, 46
86, 70, 62, 27, 16, 44, 85, 59, 51, 73
66, 78, 38, 81, 97, 77, 69, 45, 33, 67
Answers
Write the opposite of each number. -25 _______ 0 _______
Answers
Answer:
25
0
Step-by-step explanation:
The original price of a pair of headphones is $39.99 before tax. When David bought the headphones they rang up for $31.99 before tax. He
then paid 6% sales tax on the discounted price.
Part A: What is the percent discount on the headphones? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Dalton paid for the headphones including tax? Show all work and steps in your solution. (5 points)
Answers
Answer:
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
Step-by-step explanation:
What are the coordinates of the image after point (4,-5) is reflected across the x-axis
Answers
Answer and Step-by-step explanation:
The x-axis is a horizontal line
^
|
|
(<-------------------------|-----------------------------> x
| ^ This line is the x-axis
|
V
^
|
|
(<---------------|--|--|--|--|--|--|--|--|--|--|---------> x
|
|
|
|
| A ● (4, -5)
V
The point is listed, labeled as A. To reflect, all we have to do is go up twice the absolute amount of the y value, so the absolute value of 5 times 2.
^
| A' ● (4, 5)
|
|
|
|
(<---------------|--|--|--|--|--|--|--|--|--|--|---------> x
|
|
|
|
| A ● (4, -5)
V
This new point is labelled as A'.
(4, 5) is the new coordinate.
#teamtrees #WAP (Water And Plant)
1) A box contains 6 red marbles, 10 black marbles, 4 green marbles, and 2 white marbles. One
marble is drawn randomly. What is the probability that it is black or white marble?
Answers
Answer:
The probability of a white marble or black marble being drawn is 12/22.
Step-by-step explanation:
First, add all the marbles together.
6 + 10 + 4 + 2 = 22
10 + 2 = 12
= 12/22
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
what is the correct factorization of x^2 - 2x - 15?
Answers
Answer:
Step-by-step explanation:
x2 - 2x - 15
x2 - 5x + 3x - 15
x(x - 5) + 3(x - 5)
(x - 5) and (x + 3) are the factors
if this needs to be solved further, you will need to set both of these equations equal to 0.
x-5=0 and x+3=0
this will give you x=5 and x=-3
i hope this helped :)
Do you think one act of kindness has the power to spread more kindness? Why or Why not?
Im just lazy pls help
Answers
Answer:
yes
Step-by-step explanation:
if you do one good thing for someone eles they would want other people to feel the same way
Answer:
yes because the person is going to feel comfortable and spread kindness to others :)
Step-by-step explanation:
8 gallons equals how many pints?
Answers
Answer:
38
Step-by-step explanation:
Answer:
8 gallons equals 64 pints since there are 8 pints in a gallon
Step-by-step explanation:
take care
Water runs from a pump at a rate of 1.5 gallons per minute. At this rate, how long would it take to fll a tub with a 150-gallon capacity?
Answers
Which describes the graph of y=(x+3)^2-4?
Answers
Answer:
(D). Opens up with vertex at (- 3, - 4)
Step-by-step explanation:
Vertex form of quadratic equation is f(x) = a(x - h)² + k
If a > 0 the parabola is facing up , or down if a < 0 .
(D). Opens up with vertex at (- 3, - 4)
find the value of x so that the function has the given value. n(x) = 2x + 7 ; n(x)= 17
Answers
Answer:
n(x)= 5
Step-by-step explanation:
2x+7 = 17
2x = 17-7
2x = 10
x = 5
In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.
Answers
Answer:
93.83%
Step-by-step explanation:
2350 - 1200 = 1150
1150/1200 * 100 = 95.83%
Work out m and c for the line: y − 2 x = − 3
Answers
Answer:
m=2, b=-3
Step-by-step explanation:
y=2x-3
m = 2
b = -3
Can somebody help me out ?? please ..
Answers
Z=112
Hope this helps you and you have a good day and yes I did calculate this
Esther had five times as many cards as Richard. Esther gave 1/4 of her cards to Richard. Then, Richard gave 1/6 of his cards to Esther in return. In the end, Esther had 90 more than Richard. How many cards did Esther have at first?
Answers
Answer:
Esther has 200, Richard has 40
Esther gives Richard 50 cards. Now they have
Esther: 150, Richard: 90
Richard gives Esther 15, so they now have
Esther: 165, Richard 75
Step-by-step explanation:
Answer:
Esther had 200 cards at first
Step-by-step explanation:
Variables:
Esther: 5r
Richard: r
Equalities:
e = 5r
e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90
Solve:
Replace e with 5r and solve for r:
e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90
5r - 5r/4 + 1/6 (r + 5r/4) = 5/6 (r + 5r/4) + 90
5r - 5r/4 + 1/6 (2.25r) = 5/6 (2.25r) + 90
5r - 1.25r + 0.375r = 1.875r + 90
5r - 1.25r + 0.375r - 1.875r = 90
2.25r = 90
r = 40
Esther: 5r = 5(40) = 200
Richard: r = 40
Need a bit of help with this:(
Answers
Answer:
Step-by-step explanation:
statement/reason
1) X midpoint for WZ / given
2) WX≅XZ / definition of midpoint (divides a line segment in two congruent parts) (S)
3) X midpoint for VY/ given
4) VX≅XY / definition of midpoint (S)
5) ∠WXV≅∠YXZ / vertical angles are congruent (A)
6) ΔVXW≅ΔYXZ / SideAngleSide Theorem of Congruency
A basketball player makes 65% of all free throws
in her first 5 seasons. In her 6th season she
makes 105 out of 150 free throws. How does the
observed frequency of her 6th season compare
to the expected frequency? Provide a possible
explanation for any similarities or differences in
the frequencies. 7.50.3.7
Answers
Answer: The relative frequency of an event is the ratio of the number of times an event happens to the number of times the event is attempted. Relative frequencies are often used in decision making and to predict outcomes. Relative frequencies are based on data previously collected and recorded. Probabilities are based on assumptions.
75 •
.75 =
.5625
.75 •
.75 •
.75 =
.4219
(i'm sorry if i'm wrong)
A baker orders 162 eggs. Each carton contains 18 eggs. Determine the number c of cartons.
Answers
Please answer A and B!!!
Answers
Answer:
7 and 2
Step-by-step explanation:
i did this before i know
Evaluate p + 2 for p = -8.
Answers
Answer:
-6
Step-by-step explanation:
Mrs. Matthews wrote three math expressions on the board.
She asked her students which expression would result in a product greater than 7.
Enter the number of the expression that Mrs. Matthews's students should have chosen.
Expression
will result in a product greater than 7.
Answers
Answer:
expression 3
because expression 1 = 1
and expression 2 = 7
Natalia wants to put a decorative edge around her flower bed. She already has 4 feet of edging, but she needs enough to edge 95 feet. The edging material comes in rolls 7 feet long.
Write and solve an inequality to find the number of rolls Natalia needs?
Answers
Answer:
91 ft ≤ (7 ft)n or n ≤ 13
Step-by-step explanation:
total amount of edging is
e(n) ≤ 4 ft + (7 ft)n
This inequality relates the total length of edging to the number of 7 ft rolls needed.
If Natalia needs 95 ft of edging, we write e(n) ≤ 4 ft + (7 ft)n as
95 ft ≤ 4 ft + (7 ft)n
which simplifies to
91 ft ≤ (7 ft)n or n ≤ 13
Natalia must purchase 13 rolls. This, combined with the initial 4 ft of edging, will be just the right amount of edging to complete the job.
Which expression is equivalent to one over three p + 15?
one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)
Answers
Answer:
1/3p + 5
Step-by-step explanation:
1/3 of 15 is 5
If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5
Answer:
a) 1/3 (p+45)
Step-by-step explanation:
that's the answer
2 + 2
please tell me I am clueless
Answers
Answer:
22
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
put 2 fingers up then put up 2 more then count them all
Abracadabra 4
-5x + y = -6
7x + 2y = 39
Answers
Answer:
x=3, y=9
Step-by-step explanation:
Mulriplying the first equation by 2 yields -10x+2y=-12.
Subtracting the second equation from this gives -17x=-51, and thus x=3.
Substituting this back into the first equation gives -15+y=-6, and thus y=9.
The GOAL of any equation is to get the?................
by itself on one side of
the equation.