On the coordinate grid, the graph of y = √√x - 1 + 3 isshown. It is a translation of y = 3√x.6543-7-6-5-4-3-2-1₁-2-3N& b w-4-5up my2 345 6 7 XWhat is the domain of the graphed function?O {x|1
Answers
The domain is the set of all values of x that satisfies the function. On the graph, it is between the minimum value of x on the left and the maximum value of x on the right. Looking at the graph, the minimum value of x is negative infinity on the left and the maximum is positive infinity on the right. Thus, the domain is
{x/x is a real number}
Related Questions
Use the table below to find the probability of selecting a person at random, that the personYes (Y)No (N)Don't Know (D)TotalMen (M)15212373348Women (W)14910994352Total301232167700is male and responded no. is a woman and responded don't know. responded yes given that the person was a male.responded don't know given that the person was a woman.
Answers
Recall that:
[tex]P(success)=\frac{favorable\text{ outcomes}}{total\text{ outccomes}}.[/tex]Therefore:
[tex]\begin{gathered} P(male\text{ and no\rparen=}\frac{123}{700}, \\ P(woman\text{ and don't know\rparen=}\frac{94}{700}. \end{gathered}[/tex]Now, recall that:
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}.[/tex]Therefore:
[tex]\begin{gathered} P(yes|male)=\frac{P(male\text{ and yes\rparen}}{P(male)}=\frac{\frac{152}{700}}{\frac{348}{700}}=\frac{152}{348}, \\ P(don^{\prime}t\text{ know\mid woman\rparen=}\frac{\frac{94}{700}}{\frac{352}{700}}=\frac{94}{352}. \end{gathered}[/tex]Simplifying all of the above results, we get:
[tex]\begin{gathered} P(male\text{ and no\rparen=}\frac{123}{700}, \\ P(woman\text{ and don't know\rparen=}\frac{47}{350}, \\ P(yes|male)=\frac{38}{87}, \\ P(don^{\prime}t\text{ know\mid woman\rparen=}\frac{47}{176}. \end{gathered}[/tex]Answer: [tex]\begin{gathered} P(male\text{ and no}\operatorname{\rparen}\text{=}\frac{123}{700}\text{, } \\ P(woman\text{ and don't know\rparen=}\frac{47}{350}, \\ P(yes|male)=\frac{38}{87}, \\ P(don^{\prime}t\text{ know\mid woman\rparen=}\frac{47}{176}. \end{gathered}[/tex]The two rectangular prisms have the same base area of 48 square units. the height of box B is 2/3 the height of box A. if box B has volume of 576 cubic units, what is the height of box A in units?
Answers
Answer:
The height of box A is 18 units.
Explanation:
The volume of box B = 576 cubic units
The base area = 48 square units.
[tex]\begin{gathered} \text{Volume of a rectangular prism=Base Area}\times Height \\ 576=48h \\ h=\frac{576}{48} \\ h=12\text{ units} \end{gathered}[/tex]The height of box B = 12 units.
Given that the height of box B is 2/3 the height of box A.
Let the height of box A = H.
[tex]\begin{gathered} \frac{2}{3}H=12 \\ H=12\times\frac{3}{2} \\ H=18\text{ units} \end{gathered}[/tex]The height of box A is 18 units.
determine the range of y=2/(2x+1)
Answers
To solve this question we will solve the given equation for y and we will analyze the possible values of y (that will be the range of the given function).
Assuming that 2x+1≠0, and multiplying the given equation by 2x+1 we get:
[tex]\begin{gathered} y\cdot(2x+1)=\frac{2}{2x+1}\cdot(2x+1), \\ 2yx+y=2. \end{gathered}[/tex]Subtracting y from the above equation we get:
[tex]\begin{gathered} 2yx+y-y=2-y, \\ 2yx=2-y\text{.} \end{gathered}[/tex]Dividing the above equation by 2y we get:
[tex]\begin{gathered} \frac{2yx}{2y}=\frac{2-y}{2y}, \\ x=\frac{2-y}{2y} \end{gathered}[/tex]Therefore, y can be all real numbers except zero.
Answer:
[tex](-\infty,0)\cup(0,\infty)\text{.}[/tex]Please assist me in how to go about solving this problem
Answers
The given function is,
[tex]f(x)=log_2x+1[/tex]The graph of the function will be plotted below
A vertical asymptote is a vertical line that guides the graph of the function but is not part of it.
Hence, the vertical asymptote is at
[tex]x=0[/tex]The domain of a function f(x) is the set of all values for which the function is defined.
Hence, the domain of the function is
[tex]\:\left(0,\:\infty \:\right)[/tex]The range of a function is the complete set of all possible resulting values of the dependent variable.
Hence, the range of the function is
[tex]\:\left(-\infty \:,\:\infty \:\right)[/tex]Let get the f(x), when x = 2
[tex]\begin{gathered} f(x)=log_2x+1 \\ \therefore f(2)=log_22+1 \\ Note:log_22=1 \\ \therefore f(2)=1+1=2 \\ \therefore f(2)=2 \end{gathered}[/tex]How many lines of symmetry are found in the following figure?A rectangle is shown.A.no lines of symmetryB.1 line of symmetryC.2 lines of symmetryD.4 lines of symmetry
Answers
In a rectangle we can draw two lines of symmetry:
Any rectangle has 2 lines of symmetry and it has a rotational symmetry of order 2.
Diagonals are not lines of symmetry as the opposite sides is not an exact image of each other (except for squares, in which diagonals are in fact lines of symmetry).
Answer: Rectangles (that are not squares) have only 2 lines of symmetry [Option C]
write y=[tex] \frac{2x}{5} [/tex]-4in standard form
Answers
Answer
2x - 5y = 20
And
y = 0.4x - 4
Explanation
The equation of a straight line can be expressed in a number of standard forms. There's the y = mx + c, there's the ax + by = c, a number of different standard forms exist.
The current equation is given in the slope-intercept form, y = mx + c
y = (2x/5) - 4
[tex]\begin{gathered} y=\frac{2}{5}x-4 \\ \text{Multiply through by 5} \\ 5y=2x-20 \\ -2x+5y=-20 \\ 2x-5y=20 \end{gathered}[/tex]So, the two most common standard forms for this equation is
y = 0.4x - 4
And
2x - 5y = 20
Hope this Helps!!!
use the power rule and the power of a product or quotient rule to simplify the expression assume that all bases are not equal to zero
Answers
You have the following expression
(mp/n)⁸
In order to simplify the previous expression, take into that the power of a quotient is the quotient of the numbers powered to the given exponents, just as follow:
(mp/n)⁸ = (mp)⁸/n⁸
next, consider that the power of a product is the product of the factors powered to the given exponent, then:
(mp)⁸ = m⁸p⁸
then, for the given expression, you obtain:
(mp/n)⁸ = (mp)⁸/n⁸ = m⁸p⁸/n⁸
Hence, the simplified expression is m⁸p⁸/n⁸
the largest soccer and football stadiums have a capacity of at least 1x10⁵ people. Each stadium has 8 events each year for 10 years. How many total people attend these events if every event was seated to capacity?
Answers
The first step to solve this problem is to calculate the total number of events for these 10 years. Each year there's 8 events, so to find the total number of events we need to multiply the total number of years by the number of events per year.
[tex]\text{events}=8\cdot10=80\text{ events}[/tex]There will be 80 events in these 10 years. Each event can receive 1x10⁵ people, to find the total number of people that will attend these events we need to multiply the number of events by the number of people who will attend to each event. We have:
[tex]\begin{gathered} \text{total people}=80\cdot1\cdot10^5 \\ \text{total people}=80\cdot10^5=8,000,000\text{ people} \end{gathered}[/tex]At least 8,000,000 people will be able to attend the events. In scientific notation this is:
[tex]\text{total people}=8\cdot10^6\text{ people}[/tex]The total number of people will be 8*10^6
What are the dimensions (length x height) of this tessellation?
Answers
The Solution:
Given:
Required:
Find the dimensions of the given figure.
[tex]Length:L=5\times16in.=80in.[/tex][tex]Height:H=3\times8in=24in[/tex]Thus,
[tex]Dimensions:80in.\times24in.[/tex]Answer:
[option
I need the correct answer please I will give you the options as well
Answers
Step 1:
Write the coordinates of the vertices of the quadrilateral PQRS.
P = (-3,7)
S = (-3, 7)
R = (4, -2)
Q = (4,12)
Step 2:
To shift the figure to the right by 6 units.
P' = (-3+6,7) = (3,7)
S' = (-3+6, -7) = (3,-7)
R' = (4+6, -2) = (10 . -2)
Q' = (4+6,12) = (10, 12)
Step 3:
Rule : When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
P'' = (3,7) = (7 , -3)
S'' = (3,-7) = (-7 , -3)
R' = (10 , -2) = (-2 , -10)
Q' = (10, 12) = (12 , -10)
Final answer
P' 7, -3
S' = (-77,37)
R' = (-2 , -10)
Q' =(-12, 10)
the midpoint of AB is M(7,-7) if the coordinates of A are (8,-6) what are the coordinates of B
Answers
ANSWER:
[tex]B(6,-8)[/tex]STEP-BY-STEP EXPLANATION:
The first thing is to represent the situation as follows
To calculate the value of B we have the following formula for the midpoint:
[tex]\begin{gathered} (M_1,M_2)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ M_1=\frac{x_1+x_2}{2} \\ M_2=\frac{y_1+y_2}{2} \end{gathered}[/tex]replacing and solving in each case:
[tex]\begin{gathered} 7=\frac{8+x_2}{2}\rightarrow x_2=7\cdot2-8\rightarrow x_2=6 \\ -7=\frac{-6+y_2}{2}\rightarrow y_2=-7\cdot2+8\rightarrow y_2_{}=-8 \\ B(6,-8) \end{gathered}[/tex]which of the following is true? 3/4>13/16, 6/74/7, 1/3.
Answers
Solution
3/12>3/8
3/8<7/16
3/8<8/24
5/16>3/8
For this case we can do the following:
1) 3/12>3/8 (We have the same numerator but different denominator) FALSE
2) 3/8 *2/2<7/16 (6/16<7/16) TRUE
3) 3/8 * 3/3<8/24 (9/24 < 8/24) FALSE
4) 5/16>3/8 *2/2 (5/16 > 6/16) FALSE
Brett writes a number that is the same distance from O as TO 6on a number line, but in the opposite direction. Whatnumber did Brett write? Explain how you know.
Answers
since the number is going on the opposite it must be a negative integrer.
and since the number was 6 units away from 0, it should be the half point between the points.
number = 3
since it is going in the oppsoite direction it should be -3
awnser the question belowc. Based on part A write an ones using the variable f to provide the number of furniture pieces the company would sell to result in a loss
Answers
In order to find the number of pieces the company must sell to break even, break-even is that revenues are equal to the cost so the equation will be
[tex]R(f)=C(f)[/tex][tex]375f=240f+1485[/tex]Then we isolate the f
[tex]375f-240f=1485[/tex][tex]135f=1485[/tex][tex]f=\frac{1485}{135}[/tex][tex]f=11[/tex]For b.
In order to have a profit the company need to sell more than 11 pieces of furniture
[tex]f>11[/tex]For c.
I order that the company would sell to result in a loss the pieces of furniture must be less than
[tex]f<11[/tex]What is the value of x in simplest radical form?Point 2
Answers
Since it is a right triangle then you can use Pythagoras' theorem, that is,
[tex]\begin{gathered} a^2+b^2=c^2 \\ \text{ Where c is the hypotenuse and} \\ a\text{ and b are the legs of the right triangle} \end{gathered}[/tex]So, in this case, you have
[tex]\begin{gathered} a=7 \\ b=9 \\ c=x \end{gathered}[/tex][tex]\begin{gathered} a^2+b^2=c^2 \\ \text{ Replacing values} \\ (7)^2+(9)^2=c^2 \\ 49+81=c^2 \\ 130=c^2 \\ \text{ Apply square root to both sides of the equation} \\ \sqrt[]{130}=\sqrt[]{c^2} \\ \sqrt[]{130}=c=x \\ \text{ or} \\ 11.4=c=x \end{gathered}[/tex]Therefore, the value of x in simplest radical form is
[tex]\sqrt[]{130}[/tex]The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 35 hours and the median is 31.2hours. Twenty-four of the families in the sample turned on the television for 20 hours or less for the week. The 6th percentile of the data is 20 hours.Step 4 of 5: What is the value of the 50th percentile?
Answers
Answer:
31.2 hours
Explanation:
Given:
• The mean of the data = 35 hours
,• The median of the data = 31.2 hours
The median is the value in the middle of the data set.
Similarly, the 50th percentile of a data set is the value in the middle.
Therefore, the value of the 50th percentile is 31.2 hours.
f(x) = –2x2 – 3x4 + 7
Answers
Answer: 2nd option.
[tex]undefined[/tex]Step by step solution:
To determine the behavior of the function:
[tex]f(x)=-2x^7-3x^4+7[/tex]We can graph the function, and analyze the behavior. This is the graph of the above function
We can conclude that, as x approaches positive infinity, the function takes negative values and approaches to negative infinity.
As x approaches negative infinity, the function (y values) takes positive values and approaches to positive infinity.
Put the following into expressions-no solvingOne-third the sum of 6 and 3Four times the quotient of 3 and 4One fourth the difference between 3 1/2 and 1/2
Answers
Let's begin by identifying key information given to us:
I. One-third the sum of 6 and 3 is:
[tex]\begin{gathered} \frac{1}{3}\times(6+3) \\ \end{gathered}[/tex]II. Four times the quotient of 3 and 4 is:
[tex]4\times(\frac{3}{4})[/tex]III. One fourth the difference between 3 1/2 and 1/2 is:
[tex]\frac{1}{4}\times(3\frac{1}{2}-\frac{1}{2})[/tex]6. Find the measure of oneinterior angle of a regular 30-gon.
Answers
The sum of the interior angles of a polygon is given by:
[tex]\text{Sum}=(n-2)\times180[/tex]Where n is the number of sides of the polygon.
A regular 30-gon has 30 sides, then the sum is:
[tex]\begin{gathered} \text{Sum}=(30-2)\times180 \\ \text{Sum}=28\times180 \\ \text{Sum}=5040 \end{gathered}[/tex]Now, we have to divide the total sum by the number of angles, then:
[tex]\frac{5040}{30}=168[/tex]Answer: One interior angle of a regular 30-gon measures 168°.
Write a story that matches the graph that is attached
Answers
The model shown by the graph is an exponential decay model.
Suppose that the y-axis represents the population of City A in thousands and the x-axis represents the time elapsed in months.
The graph gives that the population decreases every year by due to pollution, migration, or other factors.
The initial population of the City in the first month of the survey is 100,000 people. After 60 months, the population has decreased to approximately 20,000 people.
This model described above matches the graph.
what is the unit price: 5 pounds of apples for $11.25. Please help
Answers
$2.25 per pound of apple
Explanation:5 pounds of apples cost $11.25
Let the cost of 1 pound of apple = y
5 pounds = $11.25
1 pound = y
cross multiply:
5(y) = 1(11.25)
5y = 11.25
divide through by 5:
5y/5 = 11.25/5
y = 2.25
The unit price is $2.25 per pound of apple
Find the 4th term in the expansion of (x - 10y)^7
Answers
Given:
There are given the expression:
[tex](x-10y)^7[/tex]Explanation:
According to the question:
We need to find the 4th term in the expansion.
So,
From the given expression:
[tex](x-10y)^{7}[/tex]To find the 4th expansion, we will use the binomial theorem:
So,
From the binomial expansion:
[tex](a+b)^n=\sum_{i\mathop{=}0}^n(n,i)a^{n-i}b^i[/tex]Then,
Use the above formula in the given expression:
So,
From the given expression:
[tex](x-10y)^7=\sum_{i\mathop{=}0}^n(7,i)x^{7-i}(-10y)^i[/tex]Then,
[tex](x-10y)^7=\frac{7!}{0!(7-0)!}x^7(-10y)^0+\frac{7!}{1!(7-1)!}x^6(-10y)^1+\frac{7!}{2!(7-2)!}x^5(-10y)^2+\frac{7!}{3!(7-3)!}x^4(-10y)^3[/tex]Then,
[tex]\begin{gathered} (x-10y)^{7}=\frac{7!}{0!(7-0)!}x^{7}(-10y)^{0}+\frac{7!}{1!(7-1)!}x^{6}(-10y)^{1}+\frac{7!}{2!(7-2)!}x^{5}(-10y)^{2}+\frac{7!}{3!(7-3)!}x^{4}(-10y)^{3} \\ (x-10y)^7=x^7-70x^6y+2100x^5y^2-35000x^4y^3 \end{gathered}[/tex]So,
The 4th term of the given expansion is shown below:
[tex]-35000x^4y^3[/tex]Final answer:
Hence, the correct option is B.
Use the product of conjugates to multiply (4p - 3q) (4p +3q).
Answers
Explanation
So for the question
(4p-3q)(4p+3q)
We will use
Applying the above, we will have the answer as:
[tex]\left(4p-3q\right)(4p+3q)=(4p^)^2-(3q)^2=16p^2-9q^2[/tex]Use a graph utility to find the quadratic function of best fist for the data below.
Answers
Solution
Using a graphing calculator, we have
So, the answer is
[tex]\begin{gathered} First\text{ }Box(or\text{ }Coefficient\text{ }Of\text{ }x^2)=0.084 \\ \\ Second\text{ }Box(or\text{ }Coefficient\text{ }Of\text{ }x\text{ }excluding\text{ }the\text{ }minus)=0.759 \\ \\ Third\text{ }Box(or\text{ }Constant)=32.295 \end{gathered}[/tex]Which of the following is NOT a solution to the inequality below? 4x + 9 > 63? A. 13 B 14 C 15 D. 16
Answers
The given inequality is
[tex]4x+9>63[/tex]First, we subtract 9 from each side
[tex]\begin{gathered} 4x+9-9>63-9 \\ 4x>54 \end{gathered}[/tex]Then, we divide the inequality by 4
[tex]\begin{gathered} \frac{4x}{4}>\frac{54}{4} \\ x>13.5 \end{gathered}[/tex]So, 13 is not a solution because is less than 13.56.
The answer is A.Write an equation for the linear function f(x) using the given information.
Answers
To fins the linear equation you shoul use two of the points to find the slope
a=(-2,6) b=(4,9)
and use the formula for the slope in this way
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{9-6}{4-(-2)} \\ m=\frac{3}{6}=\frac{1}{2} \end{gathered}[/tex]after you have the slope you can use whichever point you want to find b
y=mx+b
lets use point (-2,6)
[tex]\begin{gathered} 6=\frac{1}{2}\cdot(-2)+b \\ 6=-1+b \\ 6+1=b \\ b=7 \end{gathered}[/tex]the equation should be
[tex]y=\frac{1}{2}x+7[/tex]to check if the answer is correct we can replace in the equation with one of the point; lets use (-4,5)
[tex]\begin{gathered} y=\frac{1}{2}(-4)+7 \\ y=-2+7 \\ y=5 \end{gathered}[/tex]with this we can conclude the equation is correct.
A certain medication is available only in 400 μg tablets. If the patient needs to take 2.4 mg per day, how many tablets must she take?
Answers
Given:
A certain medication is available only in 400 μg tablets.
In milligram,
0.4 mg.
And it is given that, the patient needs to take 2.4 mg per day.
To find the number of tablets must she take:
So that,
[tex]\frac{2.4}{0.4}=6[/tex]Hence, she must take 6 tablets per day.
Y=1/4x+(-7,8) in standard form
Answers
Standard form:
[tex]ax+by=c[/tex]therefore:
[tex]\begin{gathered} y=\frac{1}{4}x-7.8 \\ y-\frac{1}{4}x=-7.8 \end{gathered}[/tex]What is 2^2—3^2 simplifyed (I hope u all can understand how I typed it)
Answers
The expression is:
[tex]\frac{2^2}{3^2}[/tex]So:
[tex]a^2=a\cdot a[/tex]It means that the expression is equal to:
[tex]\frac{2^2}{3^2}=\frac{2\cdot2}{3\cdot3}=\frac{4}{9}[/tex]The simplified expression is 4/9
Find the expected count and the contribution to the chi-square statistic for the (Group 1, No) cell in the two-way table below. YesNoTotalGroup 15644100Group 213565200Group 3672693Total258135393Round your answer for the expected count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places.
Answers
Given
The (Group 1, No) cell in the two-way table is given below as,
Yes NoTotal
Group 15644100
Group 213565200
Group 3672693
Total258135393