What are the domain and the range of this function? please i need this fast ill give 15 pts
Answers
Given data:
The given graph is shown.
The domain is the value of x for which the given function is defined, the domain of the given graph is,
[tex]D=\lbrack-5,1)[/tex]The range is the value of y for which the given function is defined, the range of the given graph is,
[tex]R=\lbrack-4,\text{ 7)}[/tex]Thus, the domain of the given function is [-5,1), and range is [-4, 7).
Related Questions
Use the graph below for this question: graph of parabola going through 2, negative 3 and 3, negative 1. What is the average rate of change from x = 2 to x = 3? (1 point) a) 2 b) 3 c) 0 d)5
Answers
From x = 2 to x = 3 the average rate of change is 2.
The graph of the parabola passes through 2, negative 3 and 3, negative 1 or ( 2, - 3) and ( 3, - 1 ).
Let's say y = f(x) represents the function of the parabola.
Then f( 2 ) = - 3 and f( 3 ) = - 1
Now, for a function y = f(x) the average rate of change from x = a to x = b is given by the expression [ f( b ) - f( a ) ] / ( b - a)
When x changes from x = 2 to x = 3,
The average rate of change will be:
[ f( 3 ) - f( 2 ) ] / ( 3 - 2 ) = [ - 1 - ( - 3 ) ] / 1 = 2
The average rate of change from x = 2 to x = 3 is 2.
The correct option is (a).
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negative 45 minus negative 19
Answers
Answer:
-26
Step-by-step explanation:
Answer:
The answer to this problem is -26
Hello all the info I was given is right there
Answers
11.
We can determine the number of real solutions checking the number of times the graph crosses the x-axis, therefore, we can conclude from the graph that the function has 2 real solutions
PLEASE HELP DUE IN 30 MINS and I’ll be giving 25 points to whoever helps me.Thank you
Answers
Answer:
x = 19
Step-by-step explanation:
(4x - 4) and (6x - 6) are a linear pair and sum to 180° , that is
4x - 4 + 6x - 6 = 180
10x - 10 = 180 ( add 10 to both sides )
10x = 190 ( divide both sides by 10 )
x = 19
I need some help to tell whether a table is a linear or non linear function
Answers
A linear equation has the form:
[tex]y=mx+b[/tex]Let's find a linear equation using the table, and let's check if it satisfy all the points:
[tex]\begin{gathered} x=0,y=-1 \\ -1=b \\ ------ \\ x=1,y=1 \\ 1=m+b \\ 1=m-1 \\ m=2 \end{gathered}[/tex]so:
[tex]y=2x-1[/tex]Let's check the other points:
[tex]\begin{gathered} x=-3 \\ y=2(-3)-1=-6-1=-7_{\text{ }}True \\ ------ \\ x=-2 \\ y=2(-2)-1=-4-1=-5_{\text{ }}True \\ ------ \\ x=-1 \\ y=2(-1)-1=-2-1=-3_{\text{ }}True \end{gathered}[/tex]Therefore, we can conclude it is a linear function.
I need to find the point of intersection Y=.5x+3 & Y=2x-9
Answers
SOLUTION:
Step 1:
In this question, we are meant to find the point of intersection of the two lines:
[tex]\begin{gathered} \text{y = 0. 5 x + 3 -- equation 1} \\ \text{and } \\ \text{y = 2x -9 -- equation 2} \end{gathered}[/tex]Step 2:
The details of the solution are as follows:
From the graph, we can see the point of intersection of the two lines
is at:
[tex]\begin{gathered} \text{ x= 8} \\ y=\text{ 7} \end{gathered}[/tex]
Add − 0 . 25 + 3 1 6 + 2 1 12 . Write in simplest form.
Answers
On addition, the simplest form of the given equation is results in 2427.75.
Addition - In math is a process of combining two or more numbers.
OR
the process of finding the total, or sum, by combining two or more numbers
RULES IOF ADDITION
It is always positive to add two positive integers. It is always negative to add two negative values. Two positive integers can be subtracted in either a positive or negative way.thus
= − 0 . 25 + 3 1 6 + 2 1 12
= -0.25 + 2428
= 2427.75
On addition, the simplest form of the given equation is results in 2427.75.
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Gymnosperms and angiosperms are both vascular plants within the Kingdom Plantae.
Answers
Step 1
Angiosperms and gymnosperms are both seed-bearing plants with a few similarities.
Step 2:
The vascular system is common for the both of them, consisting of conjoint and vascular bundles (open and collateral). The ovules of both angiosperms and gymnosperms develop into seeds.
Step 3
a) Angiosperms are flowering plants, and include grasses, herbs, shrubs and most deciduous trees, while (b) gymnosperms are conifers. Both produce seeds but have different reproductive strategies.
Final answer
seeds
Here is the probability model for the blood type of a randomly chosen person in the United States.Blood typeoABABProbability 0.59 0.16 0.1 0.15What is the probability that a randomly chosen American does not have type o blood?% Round to the nearest 0.01%
Answers
The complement of an event E, consists of any outcome in an experiment in which event E does not occur.
For the experiment shownin the table, the event is an American chosen at random having blood type O. Therefore the complement of that event in the experiment is that of an American NOT having blood type O.
Therefore;
[tex]\begin{gathered} P\lbrack blood\text{ type O\rbrack=0.59} \\ P\lbrack\text{not blood type O\rbrack=1-P\lbrack{}blood type O\rbrack} \\ P\lbrack\text{not blood type O\rbrack=1-0.59} \\ P\lbrack\text{not blood type O\rbrack=0.41} \end{gathered}[/tex]Expressed as a percentage, this becomes;
[tex]\begin{gathered} P\lbrack\text{not blood type O\rbrack=0.41 x 100} \\ P\lbrack\text{not blood type O\rbrack=41\%} \end{gathered}[/tex]HELP!!!!!!!
they are 10 to 10. my screen isn't big enough to screenshot it.
A B C or D
Answers
The points (0, 4) , (1, 2) and (2, 0) are shown in figure.
Option 2 is true.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
In the table,
The values of x = 0 , 1 , 2
The values of y = 4 , 2 , 0
Now,
The coordinates are;
(x , y) = (0, 4) , (1, 2) and (2, 0)
Here, For the value of x shows the coordinates for x - axis.
The value of y shows the coordinates for y - axis.
So, The points (0, 4) , (1, 2) and (2, 0) are draw on the graph as given in figure.
Thus, The points (0, 4) , (1, 2) and (2, 0) are shown in figure.
Option 2 is true.
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Find compatible numbers to find two estimates.
2518 divided by 32
Answers
Answer: 78.6875
Step-by-step explanation:
math
A point representing the location of a library is shown on the coordinate grid. A museum is located 3.75 units from the library.
Answers
We are going to plot the library located at coordinate (3,4)
Then let's plot the museum which is located at 3.75 units.
what is 11/15 + (- 3/5)
Answers
we have
11/15 + (- 3/5)
step 1
REmove the parenthesis
11/15-3/5
Remember that
3/5(3/3)=9/15 ------> is the same number
substitute
11/15-9/15 -----> the fractions have the same deniominator
so
(11-9)/15
2/15
Given a triangle with a = 1, A = 17°, and B = 32°, what is the length of c? Round to the nearesttenth.
Answers
a=1
A=17°
B=32°
c=?
[tex]\frac{a}{\sin A}=\frac{c}{\sin C}[/tex][tex]C=180-17-32=131[/tex][tex]\frac{1}{\sin 17}=\frac{c}{\sin 131}[/tex][tex]\frac{1}{0.2924}\cdot0.7547=c[/tex][tex]2.58=c[/tex]Do the ratios 3 4 and 7 8 form a proportion?
no
Answers
No, the ratios are not proportional because they are not equivalent.
We are given a table which has the values of the "x" column and the corresponding "y" column.The values in the "x" column are 3 and 7.The values in the "y" column are 4 and 8.The ratio of the first corresponding values in each column is 3/4 = 0.75.The ratio of the second corresponding values in each column is 7/8 = 0.875.The ratios for all the corresponding values in the table are not equivalent.Hence, they are not proportional because the ratios are not equivalent to a single value.To learn more about ratio, visit :
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45 POINTS PLEASE BE FAST 18-22 !! <33 (sorry if its blurry)
Answers
Answer:
18. Aileen
19. Edward
20. 25 seconds
21. 40 seconds
22. 55 seconds or 3 minutes, 20 seconds - 4 minutes, 15 seconds
Step-by-step explanation:
Hello! Alright, let's start breaking down the answers one by one!
18.
To begin with 18, we just have to simply compare everyone's time to the actual time! (3 minutes and 46 seconds). To make this easier for us, we should convert everyone's time into the form of minutes/seconds. So it would be:
Aileen: 3 minutes, 50 secondsAlejandra: 4 minutesChris: 3 minutes, 20 secondsDavina: 3 minutes, 40 secondsEdward: 4 minutes, 15 secondsAs you can compare here, the closest person here would be Aileen being 4 seconds off from the actual time.
19.
Based off of what we did in 18, we can use that chart to compare, we just have to find the time differences to see who is more off from the actual time and that would be:
Aileen: +4 secondsAlejandra: +14 secondsChris: -26 secondsDavina: -6 secondsEdward: +29 secondsHere in this case, Edward's estimate would be the farthest away with +29 seconds.
20.
To calculate the time difference between these two, we simply just take the data from 18 and compare Aileen and Edward. In this case, it would be a difference of 25 seconds.
21.
Again, we take a look at Alejandra and Chris's estimate and compare the time difference. In this case, it would be 40 seconds.
22.
Finally, to figure out the range, we essentially just need to figure out the time difference between the lowest time and the highest time estimated. So that would be Chris's time (3 minutes, 20 seconds) and Edward's time (4 minutes, 15 seconds) and that would be 55 seconds.
A drama club is selling tickets to a play. The cost of each adult ticket is $8, and the cost of each student ticket is $4. One customer purchased 8 tickets andspent a total of $56. The system of equations shown can be used to model this situation.y = 8 - 28x + 4y = 56Which equation can be used to find 2, the number of adult tickets the customer purchased?O 8 (8 – 2) + 4y = 56O 8x +4(8 - x) = 568.2 + 4y - 56 = 8 - 3
Answers
Given the system of equations below, to eliminate y,
[tex]\begin{gathered} y=8-x\text{ (1)} \\ 8x+4y=56\text{ (2)} \\ \text{Substitute 8-x for y into equation (2)} \\ 8x+4(8-x)=56 \end{gathered}[/tex]Hence, the answer is 8x + 4( 8 - x) = 56
What is f(6) for the quadratic function graphed shown below?
Answers
In order to find the value of f(6) we look in the graph for the point of the curve in the position of x = 6, then we see with wich value of the y axis its correspond. We see that the value of y is y = 6.
So the answer is: f(6) = 4
A population of 50 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 600 deer. Absent constraints, the population would grow by 90% per year. Estimate the population after one year? After two years?
Answers
The amount of deer has to be calculated by this equation:
[tex]A=P(1+r)^y[/tex]Where P is the population of deers, r is the growth percentage, and y is the number of years.
[tex]A_{1year}=50(1+0.9)^1=95\text{ deers.}[/tex][tex]A_{2years}=50(1+0.9)^2=180.5\text{ deers.}[/tex]Saquon Barkley lost 7 2⁄3 yards on the first play, and gained 9 5⁄8 yards on the next play. What was the total gain or loss for the running back during the first two plays?
Answers
If Saquon Barkley lost [tex]7\frac{2}{3}[/tex] yards on the first play, and gained [tex]9\frac{5}{8}[/tex] yards on the next play, then the total gain for the running during the first two plays is [tex]1\frac{23}{24}[/tex] yards
The amount he lost on the first play = [tex]7\frac{2}{3}[/tex] yards
Convert the mixed fraction to the simple fraction
[tex]7\frac{2}{3}[/tex] yards = 23/3 yards
The amount he gained on the second play = [tex]9\frac{5}{8}[/tex] yards
Convert the mixed fraction to the simple fraction
[tex]9\frac{5}{8}[/tex] yards = 77/8 yards
The total gain for the running during the first two plays = The amount he gained on the next play - The amount he lost on the first play
Substitute the values in the equation
= 77/8 - 23/3
= 47/24 yards
Convert the simple fraction to the mixed fraction
47/24 yards = [tex]1\frac{23}{24}[/tex] yards
Hence, if Saquon Barkley lost [tex]7\frac{2}{3}[/tex] yards on the first play, and gained [tex]9\frac{5}{8}[/tex] yards on the next play, then the total gain for the running during the first two plays is [tex]1\frac{23}{24}[/tex] yards.
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Which is the equation of a line in point-slope form containing the points (-3, -5) and (1, -3).
Responses
y+3=2(x−1)y plus 3 is equal to 2 times open paren x minus 1 close paren
y−1=2(x−3)y minus 1 is equal to 2 times open paren x minus 3 close paren
y+3=2(x+1)y plus 3 is equal to 2 times open paren x plus 1 close paren
y−1=12(x+3)y minus 1 is equal to 1 half times open paren x plus 3 close paren
Answers
The equation of the line in point-slope form containing the points (-3, -5) and (1, -3) is (y + 5) = 1/2(x + 3)
How to determine equation of the line in point slope formEquation of line in point-slope form is the equation of the form
(y - y') = m(x - x')
where y' and x' are points on the y and x coordinate respectively
m = slope
slope, m of points (-3, -5) and (1, -3) is
m = (-3 - -5) / (1 - -3)
m = (-3 + 5 )) / (1 + 3)
m = 2 / 4
m = 1/2
Using point (-3, -5) the equation of the line is
(y - y') = m(x - x')
(y - -5) = 1/2(x - -3)
(y + 5) = 1/2(x + 3)
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This is a multi-part Item. Make note of your answer(s) to this part for use in the remaining part(s).Kara and Nathan participated in a 60-minute maze race.Kara:32 minutesNathan:40 minutesPart AUse ratio notation and decimal notation to describe the relationship between Kara's time and the total time of the race.Enter the correct answers in the box. For the decimal, enter the digit that repeats 3 times.Hint(s): Write the ratio of Kara's time over the total time.Use long division to write the fraction as a decimal.ratio:decimal:
Answers
Answer:
Kara's rate over the total time is 0.5333
Step-by-step explanation:
Kara finished the race in 32 minutes.
The total duration of the race was 60 minutes.
So the ratio is:
32/60 = 16/30 = 8/15 = 0.5333
Kara's rate over the total time is 0.5333
Hello hope you can help me with 6,11,and 22 please
Answers
For 6,
The unknown number is x
Then, 3 more than the number will be
[tex]x+3[/tex]The answer is labelled G
For 11,
Just as it clearly stated "5 minus a number"
Then that is
[tex]5-x[/tex]The answer is labelled S
For 22,
3 fewer than a number can be re-translated 3 is less than a number.
Then it is
[tex]3-x[/tex]The answer is labelled G on the left hand side
I need help on the first one it’s confusing for me and it’s geometry
Answers
$ 6'282,312.524
Explanation
Step 1
find the length of the street:
we have a rigth triangle, then
Let
[tex]\begin{gathered} \text{side}1=\text{ 6 miles} \\ \text{side}2=\text{ 9 miles} \\ \text{hypotenuse = new str}et=\text{ h} \end{gathered}[/tex]so, we need to find the valur for hypotenuse, to do that, we can use the Pythagorean theorem, it states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)
so
[tex]\begin{gathered} (Side1)^2+(Side2)^2=h^2 \\ \text{replace} \\ (6m)^2+(9m)^2=h^2 \\ 36m^2+81m^2=h^2 \\ 117m^2=h^2 \\ \sqrt[]{117m^2}=\sqrt{h^2} \\ \text{hence} \\ h=10.81\text{ mi} \end{gathered}[/tex]Step 2
find the total cost,
a) convert the length from miles to ft,so
[tex]\begin{gathered} 10.81\text{ mi(}\frac{5280\text{ ft}}{1\text{ mi}}\text{)}=5711.9322 \\ 5711.9322\text{ft} \end{gathered}[/tex]b) finally, to know the total cost multiply the length by the rate,so
[tex]\begin{gathered} \text{total cost= ralte}\cdot length\text{ ( ft)} \\ \text{total cost= }110\frac{\text{ \$}}{ft}\cdot5711.9322\text{ ft} \\ \text{total cost= \$ }6^{\prime}282,321.542 \end{gathered}[/tex]therefore, the estimated cost is
$ 6'282,312.524
I hope this helps you
If P = 3x^2 + xy - 5y^2, Q = 2x^2 - xy + 3y^2 and R = -6x^2 + 4xy -7y^2what is P + Q - R ?
Answers
To find what is P + Q - R
From the equation given
[tex]\text{ p = 3x}^2+xy-5y^2[/tex][tex]\Q=2x^{2\text{ }}-xy+3y^2[/tex][tex]\R=-6x^2+4xy-7y^2[/tex][tex]\P+Q-R=3x^2+xy-5y^2+(2x^2-xy+3y^2)-(-6x^2+4xy-7y^2)[/tex]Now we will simplify the equation by first opening the parentheses
Values of Q will remain the same even after opening the parenthesis because it's addition but for the values of R, the signs will be affected because it's a subtraction.
That is :
[tex]3x^2+xy-5y^2+2x^2-xy+3y^2+6x^2-4xy+7y^2[/tex]So the next is to rearrange them according to their powers
[tex]3x^2+2x^2+6x^2+xy-xy-4xy-5y^2+3y^2+7y^2[/tex]Then we will add or subtract variables that are the same accordingly(depending on their signs)
[tex]11x^2-4xy+5y^2[/tex]Therefore
[tex]\P+Q-R=11x^2-4xy+5y^2[/tex]Manuel's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Manuel $5.80 per pound, and type B coffee costs $4.55 per pound. This month, Manuel made 115 pounds of the blend, for a total cost of $585.75. How many pounds of type A coffee did he use?
Answers
92.75 pounds of type A are used and 22.25 pounds of type B coffee are used.
It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Let "a" denote the quantity of type A utilized in pounds, and "115-a" denote the quantity of type B used. Hence, the equation is:
$585.75 = 5.80 a + 5.9(115-a)
-92.75 = 5.80 a - 5.90 a
0.1a = 92.75
a = 92.75
solving for the number of pounds of type A
So type B coffee is obtained as,
= 115 - 92.75
= 22.25
Thus,92.75 pounds of type A are used and 22.25 pounds of type B are used.
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Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line x + 2y = 6?
Drag each choice into the boxes to correctly complete the table.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Parallel Perpendicular Neither
y=−12x−5−2x+y=−4−x+2y=2x+2y=−2
Answers
Answer:
Step-by-step explanation:Base line: x + 2y = 6
Parallel: Continous, never touching
Perpendicular: Create a right angle when touching
y= -1/2x -5 : Parallel
-2x+y=-4 : Pependicular
-x+2y=2 : Neither
x+2y=-2 : Parallel
1/3 - 1/2 (7 - 2/15) + 3/10
Answers
You are asked to perform:
[tex]\frac{1}{3}-\frac{1}{2}(7-\frac{2}{15})+\frac{3}{10}[/tex]Wee need to start with the parenthesis.
[tex]7-\frac{2}{15}=\frac{7}{1}-\frac{2}{15}[/tex]We the numerator will be 7 times 15 minus 2 (2x1), and the denominator will be 15 (15x1)
[tex]\frac{105-2}{15}=\frac{103}{15}[/tex]Now, the expression to solve is:
[tex]\frac{1}{3}-\frac{1}{2}\cdot\frac{103}{15}+\frac{3}{10}[/tex]We need to perform the multiplication first (the second term)
[tex]\frac{1}{2}\cdot\frac{103}{15}=\frac{103}{2\cdot15}=\frac{103}{30}[/tex]Now, the expression to solve will be:
[tex]\frac{1}{3}-\frac{103}{30}+\frac{3}{10}[/tex]Now we can solve either the substraction or the sum. Let's go first with the substraction:
[tex]\frac{1}{3}-\frac{103}{30}=\frac{1\cdot30-3\cdot103}{3\cdot30}=\frac{30-309}{90}=\frac{-279}{90}[/tex][tex]\begin{gathered} \frac{-279}{90}\text{ can be simplified since both numerator and denominator are divisible by 3} \\ \end{gathered}[/tex][tex]\frac{-279}{90}=\frac{-93}{30}=\frac{-31}{10}[/tex]Note that it could be simplified twice, dividing both numerator and denominator by 3.
Then, the expression to solve is reduced to:
[tex]-\frac{31}{10}+\frac{3}{10}=\frac{3}{10}-\frac{31}{10}[/tex]We can make that substraction easily since they have the same denominator. 3 - 31 = -28
Then, the first expressions equals to:
[tex]\frac{-28}{10}=\frac{-14}{5}[/tex]Then, the full answer will be:
[tex]\frac{1}{3}-\frac{1}{2}\cdot(7-\frac{2}{15})+\frac{3}{10}=-\frac{14}{5}[/tex]Help pls 10 points thx
Answers
The probability of getting 6 or a odd number is [tex]\frac{2}{3}[/tex]
What is probability?Probability is a way to gauge how likely something is to happen. Even while no event can be foreseen with absolute certainty, probability can be used to convey how likely it is that it will happen.
Probability can range from 0 to 1, with 0 meaning the event is impossible and 1 meaning the event is likely to occur.
For illustration: The number that appears first when a fair dice is rolled is one through six. Let's say we roll the dice once to see if three might come up.
For instance : When a fair dice is rolled, the number that comes up top is a number between one to six. Assuming we roll the dice once, to check the possibility of three coming up.
Number of possible outcomes = 6
Number of outcomes to get three = 1
The probability of getting three = Number of outcomes to get three/Number of possible outcomes=1/6
Similarly in this question :
Sample space ; { 1, 2 , 3, 4, 5, 6}
Event : (E) : { Probability of 6 or odd number }
Thus n(E )= {1, 3, 5, 6}
Thus P(E)= [tex]\frac{ favorable number of outcomes}{the total number of possible outcomes}[/tex]
= [tex]\frac{4}{6}[/tex]
P (E )= [tex]\frac{2}{3}[/tex]
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Question: Four times the difference of half a number and 1 is 20.Can someone please help me the answer choices are in the picture
Answers
We have the following:
[tex]4\cdot(\frac{1}{2}x-1)=20[/tex]The answer is the first option
