Graph the following inequality by drawing the points that determine the line and dragging the shading point to the correct shading option x=3y<-6
Answers
The given equation is:
[tex]\begin{gathered} x+3y<-6 \\ x+3y+6<0 \end{gathered}[/tex]The slope and the y-intercept of the line is given by:
[tex]m=\frac{-1}{3},c=-2[/tex]The graph is shown below:
As seen from the graph the points that determine the graph are (-6,0) and (0,-2) and the region is the downward region.
Related Questions
If the eccentricity is a maximum value of 1, is it a circle or a straight line?
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Step 1
if the eccentricity is a minimum value of 0 it is a circle because you have only one point and there is no focal distance.
However, if the eccentricity is a maximum value of 1, it would be a line.
Hence, the answer is a straight line.
you buy tomatoes in 25 lb cases one batch of Cobb salad requires 5 oz of tomatoes how many portion can be made with one shipment
Answers
ANSWER:
80 portion
STEP-BY-STEP EXPLANATION:
What we must do in this case is to convert the number of pounds to ounces, knowing that 1 pound is equal to 16 ounces.
[tex]25\text{ lb}\cdot\frac{16\text{ oz}}{1\text{ lb}}=400\text{ oz}[/tex]Now to calculate the number of portion, we must calculate the quotient between the total in ounces tomatoes and the amount per portion:
[tex]\frac{400}{5}=80[/tex]The sum of two consecutive numbers is 89. What are the two numbers?A.43 and 46B.44 and 45C.38 and 51D.45 and 46
Answers
We know that:
- the sum of two consecutive numbers is 89
And we must find the two numbers
To find them, we can use equations to represent the situation.
1. We can use the next equation
[tex]n+m=89[/tex]Where, n is the smallest number and m is its consecutive number
2. Since m is the number after n, we can write m as
[tex]m=n+1[/tex]3. We must replace m = n + 1 in the first equation
[tex]\begin{gathered} n+(n+1)=89 \\ \text{ Solving for }n, \\ n+n+1=89 \\ 2n+1=89 \\ 2n=89-1 \\ 2n=88 \\ n=\frac{88}{2} \\ n=44 \end{gathered}[/tex]4. Finally, we must replace n = 44 in the equation for m
[tex]\begin{gathered} m=44+1 \\ m=45 \end{gathered}[/tex]ANSWER:
B.44 and 45
A sample with a sample proportion of 0.4 and which of the following sizeswill produce the widest 95% confidence interval when estimating thepopulation parameter?
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As a sample size increases, the confidence interval increases too, so, to have the widest confidence interval we have to choose the smallest size for the sample.
In this case B. 50
How do I find the answer to this math equation?
Answers
The given equation is expressed as
- (2x + 4) = 3x - 5
The first step is to open the bracket on the left habd side of the equation by multiplying each term inside the bracket by - 1 which is outside the bracket. Thus, we have
- 1 * 2x + - 1 * 4 = 3x - 5
- 2x - 4 = 3x - 5
Collecting liketerms, we have
- 2x - 3x = - 5 + 4
- 5x = - 1
Dividing both sides of the equation by - 5, it becomes
- 5x/- 5 = - 1/- 5
x = 1/5
An interior designer wants to decorate a newly constructed house. The function f(c) - 49x^2 - 200 represents the amount of money he earns per room decorated, where xrepresents the number of rooms he designs. The function g(x) = 1/7x represents the number of rooms the Interior designer decorates, where x is the number of hours he works.Part A: Determine the amount of money the Interior designer will make decorating the house as a function of hours he works.Part B: If the newly constructed house requires 50 hours of work, how much will the interior designer earn? Show all necessary calculations. Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work.
Answers
Part A:
to find the amount of money the interior designer will make as a function of hours we need to find f(g(x)), so:
[tex]\begin{gathered} g(x)=\frac{1}{7}x \\ f(g(x))=49(\frac{1}{7}x)^2-200 \\ f(g(x))=49(\frac{1}{49}x^2)-200 \\ f(g(x))=x^2-200 \end{gathered}[/tex]so the answer is: x^2-200
Part B:
we can use the equation we just found, so x is the number of hours so x=50 and we need to find f(g(x))
[tex]50^2-200=2300[/tex]so the answer is: 2300
-4 - (x - 2) = 5x + 6
Answers
Given the equation:
[tex]-4-(x-2)=5x+6[/tex]We will find the value of x as follows:
[tex]-4-x+2=5x+6[/tex]combine the like terms:
[tex]\begin{gathered} -5x-x=6-2+4 \\ -6x=8 \end{gathered}[/tex]divide both sides by (-6)
[tex]\begin{gathered} \frac{-6x}{-6}=\frac{8}{-6} \\ \\ x=-\frac{4}{3} \end{gathered}[/tex]So, the answer will be x = -4/3
A right rectangular prism has a base area of 24 cm2. Its volume, in cubic centimeters, is not a whole number 1 h 1 1 -- - 1 1 - B w Select the measures that could be two of the dimensions of this prism. To select a measure, click the measure. To deselect a measure, click it again. length = 6 cm width = 4 cm length = 6.1 cm height = 2 cm width = 3.9 cm height = 8.4 cm length = 7.5 cm width = 3.5 cm length = 12 cm height = 15.1 cm width = 10.5 cm height = 9 cm
Answers
ANSWER
EXPLANATION
Of the boxes that say the length and width of the prism, we have to see which ones have 24 as a product - since this is the area of the base. There are two - the two on the left - the first one:
[tex]A=l\times w=6\operatorname{cm}\times4\operatorname{cm}=24\operatorname{cm}^2[/tex]This is correct, because the area is 24cm²
The second one:
[tex]A=l\times w=7.5\times3.5=26.25[/tex]This is not the right base area, so these dimensions are not right.
Then, with the rest of the dimensions we have the height. The volume of a prism is the product of its dimensions or, in other words, the product of the area of the base and its height. Therefore, since we know that the area of the base is 24, we just have to multiply that by the given height and see which ones give not a whole number as a result.
24 is a whole number, so when it is multiplied by a whole number the result is another whole number, so the options where the height is a whole number can't be right.
Then we just have to see if the mentioned product with the heights of the remaining options is a decimal.
For the bottom option in the middle: height = 15.1:
[tex]V=24\times15.1=362.4[/tex]Not a whole number --> correct
For the upper option on the right: height 8.4:
[tex]V=24\times8.4=201.6[/tex]Not a whole number --> correct
If you apply the changes below to the exponential parent function f(x) = 2*,what is the equation of the new function?Shift 4 units to the right.• Shift 6 units up.O A. g(x) = 2(x+6) + 4B. g(x) = 2(x– 6) + 4C. g(x) = 2(x – 4) + 6O D. g(x) = 2(x+4) + 6
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You need to remember the following Transformation rules for functions:
1. If
[tex]f(x+h)[/tex]The function is shifted "h" units to the left.
2. If
[tex]f(x-h)[/tex]The function is shifted "h" units to the right.
3. If
[tex]f(x)+k[/tex]The function is shifted "k" units up.
4. If
[tex]f(x)-k[/tex]The function is shifted "k" units down.
In this case you have the following Exponential parent function:
[tex]f\mleft(x\mright)=2^x[/tex]You know that it is shifted 4 units to the right and then 6 units up, then you can identify that the transformations are:
[tex]f(x-h)+k[/tex]Where
[tex]\begin{gathered} h=4 \\ k=6 \end{gathered}[/tex]Then, the equation is:
[tex]g\mleft(x\mright)=2^{(x-4)}+6[/tex]The answer is: Option C.
The ratio of the side length of Square A to the side length of Square Bin 4:9. The perimeter ofSquare Als 48 yards. What is the perimeter of Square B?
Answers
We have the next given information:
The ratio for the side length of square A to the side length of Square B is 4:9
The perimeter of Square A is equal to 48 yards.
A square has all four equal side lengths.
The perimeter is given by the sum of all the side lengths.Therefore, P = 4L.
The perimeter of square A = 48, then each length will be 48/4 =12.
Now, 12 is 4:9 of one side for square B.
Hence, one side of the square B:
12/4 =3
3*9 = 27
The side length of square B=27.
Replace on the perimeter formula P=4L, Where L represents the length.
Then
The perimeter of square B = 4(27)
=108
The perimeter of square B is 108 yards.
,
Explain how the graph of the given function can be obtained from the graph of y=log1_3x to graph the function below. Then sketch a graph of the function.y=log_3(x-4)
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The parent function is
[tex]y=\log _3x[/tex]Then, the function
[tex]y=\log _3(x-4)[/tex]can be obtained by translating the parent function to the right by 4 units, that is
[tex]y=f(x)\longrightarrow y=f(x-4)[/tex]The graphs of the functions are
Determine the center and radius of the following circle equation: x² + y2 + 4x – 6y + 9 = 0 Center: Radius:
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The center of the circle is (2,-3) while the radius of the circle is 2 units
Here, we want to determine the center and the radius of the given circle
Generally, we have the equation of a circle as follows;
[tex](x-a)^2+(y-b)^2=r^2[/tex]Where (a,b) represents the center of the circle and r is the radius of the circle
We have this as follows by dividing the coefficients of x and y by 2
[tex]\begin{gathered} (x+2)^2+(y-3)^2-4\text{ = 0} \\ \text{where (x+2)}^2=x^2+4x\text{ + 4} \\ (y-3)^2=y^2-6y+9 \\ By\text{ subtracting 4 from the sum 13, we have -4} \\ so\text{ we have;} \\ (x+2)^2+(y-3)^2\text{ = 4} \\ (x+2)^2+(y-3)^2=2^2 \end{gathered}[/tex]The center of the circle is (2,-3) while the radius of the circle is 2 units
One marble is randomly drawn and then replaced from a jarcontaining two white marbles and one black marble. A secondmarble is drawn. What is the probability of drawing a white andthen a black?
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Event A: drawing a white marble
Event B: drawing a blck marble
Probability of drawing a white and then a black (with replacement:
[tex]\begin{gathered} P(A,B)=P(A)*P(B) \\ \\ P(A,B)=\frac{#white\text{ }marbles}{#marbles}*\frac{#black\text{ }marbles}{#marbles} \\ \\ P(A,B)=\frac{2}{3}*\frac{1}{3} \\ \\ P(A,B)=\frac{2}{9} \end{gathered}[/tex]Then, the probability of drawing a white and then a black is 2/9True or FalseAll lines that cross the y-axis are horizontal lines.
Answers
Given:
A horizontal line who cross the y axis.
Required:
True or false
Explanation:
TRUE because y axis is vertical line and at the end every horizontal and vertical lines cross.
Final answer:
TRUE
22Select the correct answer.The domain of function ris(-00,-7) (-7.5) U (5.00), and the value of the function approaches 1 as x approaches --o0 and oo. Which functioncould be function ?
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The function f is a rational function.
Since the function has a horizontal asymptote given by
y = 1
then the only possible relationship between the degree of the numerator, N, and the degree of the denominator, D, is as given below
[tex]\begin{gathered} N=D \\ \text{and } \\ y=\frac{a}{b}=1 \\ \text{ Where} \\ a\text{ is the leading coefficient of the numerator} \\ b\text{ is the leading coefficient of the denominator} \end{gathered}[/tex]With these conditions, we can eliminate option B.
This is because in the case of option B, 1 = N ≠ D = 2
Of all the remaining options, only the function in the case of option C,
has vertical asymptotes at x = -7 and x = 5. Which implies that the domain of f in option C is given by
Dom(f) = (-∞,-7) U (-7, 5) U (5, ∞ )
Hence, the correct choice is option C
In the year 2014, Lee was 3 years older than Kim who was a year younger than Annie. If
Annie was born in 1989, how old were Annie, Lee and Kim?
Answer:
(Please try to show working so that I can understand what u did)
Answers
There's probably some other part of the question too. I didn't expected it to be this simple!
XDXDXD
Solve y = 4x + 8x for x.X=
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For this problem we want to solve for x from this equation:
[tex]y=4x+8x=12x[/tex]We can divide both sides of the equation by 12 and we got:
[tex]x=\frac{y}{12}[/tex]And that would be the final answer.
Sing Wu's annual gross pay is $51,400. He takes a married exemption of $4,000. Hisstate income tax rate is 3.5 percent. How much will he pay annually in state tax?
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total income is = 51400 $
exemption is = 4000$
so net amount for tax is = 51400 - 4000 = 47,400 $
now 3.5 % of 47,400 as tax is
[tex]47400\times\frac{3.5}{100}=1659[/tex]so he will pay 1659 $ as annual tax.
What is the complement of a 30 1/2 degree angle
Answers
Answer:
[tex]59\frac{1}{2}\text{ degrees}[/tex]Explanation:
Here, we want to get the complement of the given angle
Mathematically, when two angles are complementary, they add up to be 90 degrees
What this means is that the sum of an acute angle and its complement is 90 degrees
Here, let us call the complement angle x
Mathematically:
[tex]\begin{gathered} x\text{ + 30}\frac{1}{2}\text{ = 90} \\ \\ x\text{ = 90- 30}\frac{1}{2} \\ \\ \text{ x= 59}\frac{1}{2} \end{gathered}[/tex]7. Chelsea conducted a survey to determine which candidate is leading the race for ninth-grade class president byasking 50 ninth-grade girls in the cafeteria how they would vote in the election ?
Answers
Answer
Option B is correct.
The only reason why Chelsea's prediction might be wrong is that She did not include all of the ninth graders in the survey.
Explanation
Surveys provide an idea of how the entire group of people feel about a subject matter. So, picking 50 ninth grade girls to survey will provide an idea of how the election results will be like.
But since everyone is voting in the election, the prediction using the survey results might be wrong, since it doesn't include all the ninth graders in the survey.
Hope this Helps!!!
$8850 is invested at 8,0% compounded continuously, How long will it take for the balance to reach $17,700 Round your answer to two decimal placesKeypadAnswer
Answers
Formula:
• A= P *e^(rt)
Where:
A = future value of investment = 17,700
P= principal investment = 8850
r= interest rate = 8% = 8/100 =0.08 (decimal form)
t = years
Replacing:
17,700 = 8,850 * e^(0.08t)
Solve for t:
17,700/8,850 = e^(0.08t)
2 = e^(0.08t)
Take natural log
Ln 2 = Ln e^(0.08t)
Ln2= 0.08t * Ln e
Ln2 = 0.08t
Ln2/0.08 = t
t = 8.66 years
Answer:
It will take 8.66 years for the balance to reach $17,700.
What is a palindrome number? Select one:a. A decimal number that continues without repeating or ending. b. A sequence that reads the same backwards as forward. c. The 21rst prime number. d. The Chuck Norris of numbers
Answers
The palindrome number is the number that remains the same when its digits are reversed
so, the answer will be option b.
A sequence that reads the same backward as forward.
According to one study, an average payout for slots machines is 90 cents on each dollar. What is the percent return on every dollar spent in playing slots?The percent return on every dollakspent in playing slots is %.
Answers
90 %
Explanation
we can easily solve this by using a rule of three
let
x represents the percentage
also, we need to know
[tex]1\text{ dollar = 100 cents}[/tex]so
[tex]\begin{gathered} if \\ 100\text{ cents}\rightarrow100\text{ \%} \\ \text{then} \\ 90\text{ cents}\rightarrow x \end{gathered}[/tex]so, we can make a proportion
[tex]\frac{100\text{ cents}}{100\text{ \%}}=\frac{90\text{ cents}}{x}[/tex]finally,solve for x
[tex]\begin{gathered} \frac{100\text{ cents}}{100\text{ \%}}=\frac{90\text{ cents}}{x} \\ \frac{100}{100}=\frac{90}{x} \\ 100x=90\cdot100 \\ x=\frac{90\cdot100}{100} \\ x=90\text{ \%} \end{gathered}[/tex]therefore, the return on every dollar is
90 %
I hope this helps you
What is the domain of the function shown in the table? X Y 0 1 1 0 1 3 A. (-2, 0), (-1, 1), (0, 2), (1,3) B. {0, 1,2,3} C. {-2,-1,0,1,2,3) PI D. 1-2. -1,0,1)
Answers
The domain of a function is the set of values that the x variable can take.
In this case, those values are:
[tex]\lbrace-2,-1,0,1\rbrace[/tex]The ratio of the longer side of a rectangle to its shorter side is 4 to 3. If the shorter side of the rectangle is 21 ft, what is the length of its longer side? Group of answer choices 26 ft 30 ft 24 ft 28 ft
Answers
The longer side of the rectangle is 28 feet
How to determine the length of its longer side?From the question, the given parameters are:
Ratio of the longer side of a rectangle to its shorter side is 4 to 3
This can be represented as
Ratio = 4 : 3
Also it can be represented as
Longer side : Shorter side = 4 : 3
From the question, another parameter is given as:
Shorter side = 21 ft
Substitute Shorter side = 21 ft in the ratio Longer side : Shorter side = 4 : 3
So, we have the following equation
Longer side : 21 = 4 : 3
Express as fraction
So, we have the following equation
Longer side/21 = 4/3
Multiply by 21
So, we have the following equation
Longer side = 28
Hence, the length of its longer side is 28 feet
Read more about ratio at
https://brainly.com/question/29146883
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A person earns $86,000 per year and is an 814% income tax bracket how much does he pay in taxesThey are in the 14% percent bracket
Answers
Given:
A person earns $86,000 per year.
[tex]\begin{gathered} \text{Amount to pay as tax=86000}\times\frac{14}{100} \\ \text{Amount to pay as tax= }860\times14 \\ \text{Amount to pay as tax= \$12040} \end{gathered}[/tex]1. A rectangular room measures 13 feet by 15 feet. It is going to be carpeted 1 point with carpeting that sells for $31.50 per SQUARE YARD. (A square yard is 3 feet by 3 feet, or 9 square feet)... So, this carpet sells for 31.50/9 or $3.50 per square foot. a. What is the area of the room in square feet? *
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According to the question, the rectangular room has dimensions of 13 and 15 feet. Use the formula to find the area of a rectangle to find the area of the room in square feet.
[tex]\begin{gathered} A=b\cdot h \\ A=13\cdot15 \\ A=195 \end{gathered}[/tex]The rectangular room's area in square feet is 195ft^2.
Which of the following quadratic equations has the solutions2+1322X2Required: Choose an answer!A. 3x2 + 4x + 1 = 0OB. 4x2 – 8x + 1 = 0C. x2 + 3x + 2 = 0D. x2 - 4x + 3 = 0PrevNext
Answers
Given the solution of the equation:
[tex]x=\frac{2\pm\sqrt[]{3}}{2}[/tex]Let's check which quadratic equations has the given solution,
[tex]\begin{gathered} A)3x^2+4x-1=0 \\ \text{compare with ax}^2+bx+c=0 \\ a=3,b=4,c=-1 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ =\frac{-4\sqrt[]{4^2+12}}{2\cdot3} \\ =\frac{-4\pm\:2\sqrt{7}}{2\cdot\:3} \\ x_{}=\frac{-2+\sqrt{7}}{3},\: \frac{-2-\sqrt{7}}{3} \end{gathered}[/tex][tex]\begin{gathered} B)4x^2-8x+1=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-\left(-8\right)\pm\sqrt{\left(-8\right)^2-4\cdot\:4\cdot\:1}}{2\cdot\:4} \\ x=\frac{-\left(-8\right)\pm\:4\sqrt{3}}{2\cdot\:4} \\ x=\frac{2\pm\sqrt{3}}{2} \end{gathered}[/tex]Hence, the correct option is B) 4x²-8x+1=0
Please I need help with question 6 part 2 of 4. Domain and Range
Answers
Applying the vertical line test, it will intersect with the graph twice, thus, the graph is not a function.
Therefore, the answer is letter B.
What type of number is 12.5 + 27i?Choose all answers that apply:A RealB ImaginaryC Complex
Answers
Hello!
We can say that the number 12.5 + 27i is a complex number because it has two parts: a real number + an imaginary number.