Answers
Problem 1
Domain = [tex]-3 < x \le 3[/tex], interval notation (-3, 3]Range = [tex]-3 \le y < 3[/tex], interval notation [-3, 3)Is it a function? YesProblem 2
Domain = [tex]x \ge -2[/tex], interval notation [tex][-2, \infty)[/tex]Range = All real numbers, interval notation [tex](-\infty, \infty)[/tex]Is it a function? NoProblem 3
Domain = [tex]-4 \le x < 3[/tex], interval notation [-4, 3)Range = [tex]-4 < y \le 3[/tex], interval notation (-4, 3]Is it a function? YesProblem 4
Domain = All real numbers, interval notation [tex](-\infty, \infty)[/tex]Range = [tex]y \le 4[/tex], interval notation [tex](-\infty, 4][/tex]Is it a function? Yes==================================================
Explanations:
The left most point is when x = -3, and we are not including this value due to the open hole. The other endpoint is included because it is a filled in circle. The domain is therefore [tex]-3 < x \le 3[/tex] which in interval notation is (-3, 3]. We have the curved parenthesis meaning "exclude endpoint" and the square bracket says "include endpoint". The range is a similar story but we're looking at the smallest and largest y values. Though be careful about which endpoint is open/closed. We have a function because it passes the vertical line test.The smallest x value is x = -2. There is no largest x value because the arrows say to go on forever to the right. We can say the domain is [tex]x \ge -2[/tex] which in interval notation is [tex][-2, \infty)[/tex]. The range is [tex](-\infty, \infty)[/tex] to indicate "all real numbers". This graph fails the vertical line test, so it is not a function. The vertical line test is where we check to see if we can pass a vertical line through more than one point on the curve. In this case, such a thing is possible which is why it fails the test.This is the same idea as problem 1, though note the endpoints are flipped in terms of which has an open circle and which doesn't. It is not possible to draw a single vertical line to have it pass through more than one point on the curve, so it passes the vertical line test and we have a function.This is a function because it passes the vertical line test. The domain is the set of all real numbers due to the arrows in both directions. Any x value is a possible input. The range is [tex]y \le 4[/tex] which is the same as saying [tex](-\infty, 4][/tex] in interval notation. This is because y = 4 is the largest y value possible. There is no smallest y value due to the arrows.Related Questions
(4z+3)+(4z+3)+(4z+3)+(4z+3) solve please or simplify
Answers
Answer:
16z+12
Step-by-step explanation:
Let's simplify step-by-step.
4z+3+4z+3+4z+3+4z+3
Combine Like Terms:
=4z+3+4z+3+4z+3+4z+3
=(4z+4z+4z+4z)+(3+3+3+3)
=16z+12
Hope this helps!
Solve for u.
52 = 4u
Answers
Answer:
13=u
Step-by-step explanation:
54/4 = 13
A typical household pays about $1200 a year on energy bills, and the U.S. Department of Energy estimates that 46 percent of this energy is used for heating and cooling, 15 percent for heating water, 15 percent for refrigerating and freezing, and the remaining 24 percent for lighting, cooking, and running other appliances. The heating and cooling costs of a poorly insulated house can be reduced by up to 30 percent by adding adequate insulation. If the cost of insulation is $220, determine how long it will take for the insulation to pay for itself from the energy it saves.
Answers
Answer: 16 months or 1 and half year.
Step-by-step explanation:
given data:
46 percent of this energy is used for heating and cooling.
15 percent for heating water.
15 percent for refrigerating and freezing.
and the remaining 24 percent for lighting, cooking, and running other appliances.
Solution:
if the family spent $1200 on yearl bill, the cost of energy used in heating and cooling
= 46/100 * $1200
= $552 yearly.
by adding insulation the cost of heating and can be redu up to 30percent.
= 30/100 * $552
= $165.6.
if $220 determin how long it would take for the insulation to pay for it self from the energy it saves.
$165.6 would be saved yearly, this makes it an average of $13.8 saved monthly.
to determine the time it would take to settle the cost of insulation from energy saved
= $220/13.8
= 15.9 months
which Is approximately 16 months or 1 and half year to pay for the insulation.
Look at the triangle.
What is the value of sin x°?
(A) 5 ÷ 13
(B) 12 ÷ 5
(C) 12 ÷ 13
(D) 5 ÷ 12
Answers
Answer:
Ok, Sir, The answer is D.
Step-by-step explanation:
From the list of possible answers, the sides are 5 and 12 and the hypotenuse is 13, so sin(x) is either 5/13 or 12/13 depending on which of the two legs is opposite to angle x.
expand -X(-5-4x) + 2(10x+3)
Answers
Answer:
4x^2 + 25x + 6
Step-by-step explanation:
-x(-5-4x) + 2(10x+3)
5x + 4x^2 + 20x + 6
4x^2 + 25x + 6
Determine whether each identity is true or false.
True False
(a + b) (a + b) = a² + 2ab + b^2
(a + b) (a - b) = a² + 2ab – 6^2
(a + b) (a - b) = a² – 6^2
(a + b) (a + b) = a² + 6^2
(a - b) (a - b) = a² – 6^2
(a - b) (a - b) = a² – 2ab + b^2
Answers
false
false
false
false
false
0.00000083 in scientific notation
Answers
Answer:
8.3x10^7
Step-by-step explanation:
Answer:
8.3 x 10⁻⁷
Step-by-step explanation:
0.0000083 in scientific notation
To put numbers in scientific notation, you have one (1) non-zero digit in the ones place.
8.3 x 10ˣ
From 8.3, we would have to move the decimal place seven (7) places to the left (this means you put a negative sign in front of the exponent).
8.3 x 10⁻⁷
Which property of equality should you use to solve 6x = 48?
Answers
Salvador wrote 15 letters to friends each month for p months in a row. Write an expression to show how many total letters Salvador wrote
Answers
Answer:
15p
Step-by-step explanation:
Let's interpret the question bit by bit
Salvador wrote 15 letters to friends each month
=> 15 letters = 1 month
For p months in a row
let the total number of letters for p months be x
=> x letters = p months
Bringing the two statements together gives;
15 letters = 1 month
x letters = p months
Now, let's solve for x by cross-multiplying the above
x letters * 1 month = 15 letters * p months
x = [tex]\frac{15 letters * p months}{1 month}[/tex]
x = 15p letters
Therefore, Salvador wrote a total of 15p letters for the p months.
Picture should be uploaded
Answers
Answer:
the answers are:
1)75 2)105 3)75
180-150=75
Step-by-step explanation:
It wouldn't let me send a picture but these are the answers. I hope this helps!
You buy 60 of your favorite songs from a Web site that charges $0.99 for each song. What is the cost of 60 songs? Use mental math.
Answers
Answer:
$59.4
Step-by-step explanation:
Round up: 60*1 = $60. Everytime you add $0.99, you subtract off a penny, so you will subtract off 60 pennies. 60 cents from the original answer, so 60-0.6=59.4.
Is 1 = 2 always a false statement?
Answers
Answer:
yes, 1 can never equal 2 unless it is manipulated (ex: 1(2) = 2)
because one is not being manipulated to equal 2 here, it is a false statement and will always be a false statement.
Answer:
yes
Step-by-step explanation:
Mathematicaly speaking yes
3 3/5 divided by 4 3/8
Answers
Answer:
34.2 or 34/2
Step-by-step explanation:
Answer:
34.2
Step-by-step explanation:
Between 1896—when the Dow Jones index was created— and 2012, the index rose in 65% of the years. Based on this information, and assuming a binomial distribution, what do you think is the probability that the stock market will rise a) next year? b) the year after next? c) in four of the next five years? d) in none of the next five years? e) For this situation (modeling Dow Jones index), what assumption of the binomial distribution might not be valid? Are the years independent?
Answers
Answer:
a) P(x) = 0.67
b) P(y) = 0.67
c) P(x=4) = 0.3325
d) P( x = 0 ) = 0.0039
e) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent
Step-by-step explanation:
A) The probability that the stock market will rise next year = P(x) = 0.67
assuming next year to be X
B) Probability that the stock market will rise the year after next year
= P(y) = 0.67 and this is because the probability is independent of that of the previous years
C) Probability that the stock market will rise in four of the next five years
= P(x=4) = 0.3325
D) probability that the stock market will rise in none of the next five years
= P( x = 0 ) = 0.0039
E) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent
The probability that the stock market will rise next year = P(x) = 0.65.
The probability that the stock market will rise the year after next is p(y) = 0.65.
The probability that the stock market will rise in four of the next five years is 0.00325.
The probability that the stock market will rise in none of the next five years is 0.0039.
Independent events and probability can be defined as those occurrences that are not dependent on any specific event.
GivenBetween 1896—when the Dow Jones index was created— and 2012, the index rose in 65% of the years.
Based on this information, and assuming a binomial distribution.
1. What do you think is the probability that the stock market will rise next year?
The probability that the stock market will rise next year = P(x) = 0.65.
2. What do you think is the probability that the stock market will rise the year after next?
The probability that the stock market will rise the year after next is p(y) = 0.65.
3. What do you think is the probability that the stock market will rise in four of the next five years?
[tex]\rm P(x=4) =0.00325[/tex]
The probability that the stock market will rise in four of the next five years is 0.00325.
4. What do you think is the probability that the stock market will rise in none of the next five years?
The probability that the stock market will rise in none of the next five years is 0.0039.
5. What assumption of the binomial distribution might not be valid?
Independent events and probability can be defined as those occurrences that are not dependent on any specific event.
To know more about Probability click the link given below.
https://brainly.com/question/20914550
I really wish I knew
Answers
The answer would be the square root of 54
Please help :) I don’t just want the answer can someone explain how you do it?
Answers
Answer:
20r^8s^-6
Step-by-step explanation:
Question 6/6
What is the 100th term of the sequence with the following explicit rule: f(n) = 9n-1
А. 900
ОО
B. 899
Answers
Explanation:
Replace n with 100 and simplify
f(n) = 9n-1
f(100) = 9(100)-1
f(100) = 900-1
f(100) = 899
The 100th term is 899
9(100)-1
900-1
899
Brainliest?
10. (5 + 4 – 2) × (-2) = ?
O A. -14
B.-22
C. 14
D. 22
Answers
Answer:
A. -14
Step-by-step explanation:
PEMDAS
(9-2)*(-2) = x
(7)*(-2) = x
-14 = x
Use Gauss's approach to find the following sum (do not use formulas):5+11+17+23...+83
Answers
Denote the sum by S. So
S = 5 + 11 + 17 + 23 + ... + 83
There's a constant difference of 6 between consecutive terms in S, so the 3 terms before 83 are 77, 71, and 65. So
S = 5 + 11 + 17 + 23 + ... + 65 + 71 + 77 + 83
Gauss's approach involves inverting the sum:
S = 83 + 77 + 71 + 65 + ... + 23 + 17 + 11 + 5
If we add terms in the same position in the sums, we get
2S = (5 + 83) + (11 + 77) + ... + (77 + 11) + (83 + 5)
and we notice that each grouped term on the right gives a total of 88. So the right side consists of several copies n of 88, which means
2S = 88n
and dividing both sides by 2 gives
S = 44n
Now it's a matter of determining how many copies get added. The terms in the sum form an arithmetic progression that follows the pattern
11 = 5 + 6
17 = 5 + 2*6
23 = 5 + 3*6
and so on, up to
83 = 5 + 13*6
so n = 13, which means the sum is S = 44*13 = 572.
Solve for the given variable. List the step used to solve the equation. 49.75 + 4.99x = 9.99x + 19.75?
Answers
Answer:
x=-2
Step-by-step explanation:
9.75+4.99x=9.99x+19.75
Simply Both Sides(change the order of 9.75 and 4.99x in this case)
4.99x+9.75=9.99x+19.75
Subtract 9.99x from both sides
4.99x+9.75−9.99x=9.99x+19.75−9.99x
−5x+9.75=19.75
Subtract 9.75 from both sides now
−5x+9.75−9.75=19.75−9.75
−5x=10
Divide both sides by -5 and boom
−5x/-5=10/-5
x=−2
If h(x) = 2x - 1 and g(x) = 3x + 1, what is (h o g)(2)?
Answers
Answer:
Step-by-step explanation:
g(2) = 3(2) + 1 = 6 + 1 = 7
h(7) = 2(7) - 1 = 14 - 1 = 13
Using composite functions, it is found that:
[tex](h \circ g)(2) = 13[/tex]
The composition of functions h(x) and g(x) is given by:
[tex](h \circ g)(x) = h(g(x))[/tex]
In this problem, the functions are:
[tex]h(x) = 2x - 1[/tex]
[tex]g(x) = 3x + 1[/tex]
Then:
[tex]h(g(x)) = h(3x + 1) = 2(3x + 1) - 1 = 6x + 2 - 1 = 6x + 1[/tex]
At x = 2:
[tex](h \circ g)(2) = 6(2) + 1 = 13[/tex]
A similar problem is given at https://brainly.com/question/23458455
L Solve the following equation: 2 + 8x= 11x - 13.
Answers
Answer:
x = 5
Step-by-step explanation:
Add 13-8x to both sides of the equation, then divide by the coefficient of x.
2 +8x +13 -8x = 11x -13 +13 -8x
15 = 3x . . . . simplified
5 = x
Answer:
x=5
2+8x=11x-13
8x-11=-13-2
-3x=-15
x=5
Find the value of x in each case:
Given: Iso. ΔABC, HM ∥ DG
Find: x, m∠CAB, m∠CBA
(HM and DG are lines)
Answers
Answer:
x=17 degrees
Step-by-step explanation:
Which statement is true? Question 6 options: A) |–3| = 3 and –|–4| = –4 B) –|3| = 3 and |4| = 4 C) |–3| = 3 and –|4| = 4 D) |–3| = 3 and |–4| = –4
Answers
Answer:
D
Step-by-step explanation:
ERROR ERROR ERROR ERROR
1000 households were surveyed. 275 households own a desktop computer, 455 households own a DVD player, 405 households own two cars, 145 households own a desktop computer and DVD player, 195 households own a DVD player and two cars, 110 households own two cars and a desktop computer, 265 households do not own a desktop computer, do not own a DVD player, do not own two cars. Find the number of households that own: a) a desktop computer, DVD player and two cars; b) only a DVD player, no computer and no two cars; c) a desktop computer and DVD player but do not own two cars.
Answers
Answer:
Step-by-step explanation:
From the given information,
Suppose
X represents the Desktop computer
Y represents the DVD Player
Z represents the Two Cars
Given that:
n(X)=275
n(Y)=455
n(Z)=405
n(XUY)=145
n(YUZ)=195
n(XUZ)=110
n((XUYUZ))=265
n(X ∩ Y ∩ Z) = 1000-265
n(X ∩ Y ∩ Z) = 735
n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)
145 = 275+455 - n(X ∩ Y)
n(X ∩ Y) = 585
n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)
195 = 455+405-n(Y ∩ Z)
n(Y ∩ Z) = 665
n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)
110 = 275+405-n(X ∩ Z)
n(X ∩ Z) = 570
a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)
n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735
n(X ∪ Y ∪ Z) = 50
c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)
n(X ∪ Y ∪ C') = 145-50
n(X ∪ Y ∪ C') = 95
Professor Harris is teaching a continuing education class at the local community college. He created the following box plot from the ages of his students. What would happen to the average age of the students if the outlier was removed from the data set? A. There is no way to determine what would happen to the average age. B. The average age would increase. C. The average age would not change. D. The average age would decrease.
Answers
Answer:
b
Step-by-step explanation:
The average age would not change.
What is an outlier?An observation that lies an abnormal distance from other values in a random sample from a population.
What is a average?The average is the middle value of a set of numbers. It is calculated by adding the individual terms and dividing the sum with number of terms.
Outliers are stragglers — extremely high or extremely low values — in a data set that can throw off your stats.
Thus it does not effect the average age
The correct option is C
To know more about average and outliers click here
https://brainly.com/question/26958242
#SPJ2
On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line
Answers
Answer:
the 3rd graph
Step-by-step explanation:
hope this helps! got it right edge 2021
Here we have a problem with translations, where translations are operators that act on functions and move the whole graph of the function in some given direction.
Sadly, the options for this question are missing, so I will answer in a general way and will post a graph at the end of the answer.
We should start by defining the translation used here.
Horizontal translation:
For a general function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the translation is to the left.If N is negative, the translation is to the right.Here we have that the original function is f(x) = |x|, and the translated function is g(x) = |x + 2|
Then we have:
g(x) = f(x + 2).
We can conclude that this is a translation of 2 units to the left.
The graph of the two equations can be seen below:
If you want to learn more, you can read:
https://brainly.com/question/24401156
A gym charges $45 per month and a $75 one-time starting fee. Which of these will show how much it costs to join the gym for one year?
Answers
Answer: 615
Step-by-step explanation: you take the 45 times 12 months plus the 75 for the one time fee.
Answer:
615
Step-by-step explanation:
u times 45 for 12 months and add the 75 fee
Dentro de 12 años la edad de Ana será el triple de su edad actual. Determina la edad de Ana dentro de 2 años.
Answers
Ana va a cumplir los 36 anos de edad.
7p = 644. Solve the variable
Answers
Answer:
92
Step-by-step explanation:
you must first divided both sides of the equation by 7 then it will come to the answer p=92
