P = 140,000 - 41,000
P = 99,000
The population of Brownsville in 1990 was 99,000 people.
Graph the rational function
by identifying its key features.
The graph of the rational function is shown below
Graph of rational functionsFrom the question, we are to graph the given rational function
To determine the graph that corresponds to the given rational function,
First, we will graph the given rational function.
The given rational function is
x²+3x-1/x+1
The graph of the rational function is shown below
Now, we will compare each of the rational graphs in the provided options with the attached graph
The graph that corresponds to the given rational graph in the attachment below is the graph that represents the given rational function.
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A hotel packed a breakfast for each of three guests. Each breakfast should have consisted of three types of rolls, one each of nut, cheese, and fruit rolls. The preparer wrapped each of the nine rolls, and, once they were wrapped, the rolls were indistinguishable from one another. She then randomly put three rolls in a bag for each of the guests. Given that the probability that each guest got one roll of each type is m/n, where m and n are relatively prime integers, find m+n.
The probability that each guest of each type m+n will receive a roll is 79.
Given that the breakfast should have consisted of three types of rolls, one each of the nut, cheese and fruit rolls, and the cook should have wrapped each of the nine rolls.
The denominator of m/n equals the total number of possible role configurations assigned to the three people. It [tex]${9 \choose 3}{6 \choose3}$[/tex] is the same as the number of ways to choose three roles out of 9 to give to the first person [tex]${9 \choose 3}$[/tex], and three rolls of 6 [tex]${6 \choose3}$[/tex]. After that, the remaining three roles have no more configurations.
The numerator is the number of ways to assign a roll of each type to each of the three people, which can be done by defining the three types of roles such as flavored x, flavored y and flavored z.
xxx, yyy, zzz
So we have to choose one x, one y and one z to give to the first person. There are 3x, 3y and 3z to choose from, resulting in 3³ combinations. Multiply that by the combinations of xs, ys and zs for the second person, which is clearly 2³ since there are two of each letter left. simplify to our fraction m / n, which is 9/70. If you add them together, you get 9 + 70 = 79.
Thus, the probability that each guest has obtained a roll of each type is m / n, where m and n are relatively prime, so m + n is 79.
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During the month of May there were 130 births, of which 127 were full-term births and three were premature births. There were five newborn deaths. The newborn death rate is
During the month of May, there were 130 births, of which the newborn death rate is 38.4615.
According to the question,
There were 130 births, of which 127 were full-term births and three were premature births. There were five newborn deaths.
In order to find the newborn death rate we have the formula:
= [tex]\frac{number of death under 28 days of age }{Total live births in the same year}[/tex] × 1000
= [tex]\frac{5}{130}[/tex] × 1000
=[tex]\frac{5000}{130}[/tex]
=38.4615
Hence, the new born death rate is 38.4615.
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A type of sampling in which individuals to be interviewed are selected based on their proportion or quota in the general population being polled is known as
A type of sampling in which individuals to be interviewed are selected based on their proportion or quota in the general population being polled is known as public opinion.
What is sampling type of public opinion ?
A survey that measures the entire target population is called a census. A sample refers to a group or section of a population from which information is to be obtained. Survey samples can be broadly divided into two types: probability samples and super samples.
The collective opinion of large segment of the population on an issue, candidate or public policy on which the public may be much divided and lake a consensus.
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Determine the slope of the line.
The slope of the line is - 3 / 2 .
How to find slope?The slope of a line is the change in y coordinate with respect to the change in x coordinate.
Therefore, using (0, 6)(4, 0)
Hence,
m = slope = y₂ - y₁ / x₂ - x₁
slope = 0 - 6 / 4 - 0
slope = -6 / 4
slope = - 3 / 2
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If the value the discriminant is exactly O,
what is true about the graph of the
quadratic equation?
Say you have (-4x)^2, why and how would it translate to 16x^2? it's the same thing as (-4x)(-4x) so wouldn't you double distribute it?
Determine the vertical asymptotes for the reciprocal of this function f(x)=x^2 + 3x -28
Answer:
x = -7 and x = 4.
Step-by-step explanation:
f(x) = x^2 + 3x - 28
= (x + 7)(x - 4).
The reciprocal of f(x) can be written as
1 / (x + 7)(x - 4).
When the denominator is zero we have vertical asymptotes
so they are x = -7 and x = 4.
√
A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values
represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
0
15
30
0
3
6
Assuming there is a proportional relationship, which additional set of values could be included in the table?
(10,2)
(40,9)
(50,38)
(100, 76)
Mark this and return
Save and Exit
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The additional set of values which could be included in the table is; (10,2).
Which additional set of values can be included in the table?As evident in the task content, it follows that for a 15 unit increase in x, depth, there is a 3 unit increase in y, pressure.
On this note, it follows that with each 5 unit increase in x corresponds to 1 unit increase in y.
And ultimately, at x = 10, y = 2 × 1 = 2.
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Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?
(2, 12)
(2, 18)
(2, 7)
(3, 7)
Answer: (2, 18)
Step-by-step explanation:
When x=2, [tex]f(2)=2(3)^{2}=18[/tex].
So, it should pass through (2, 18).
Question 5 of 15
What would be the best first step in solving this system
x²-3x + 2y = -4
y = 3x + 2
Now you can equate it with second one to get x
Answer:
Substitute y = 3x + 2 into x² - 3x + 2y = -4
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}x^2-3x+2y=-4\\y=3x+2\end{cases}[/tex]
Since y is already isolated in the second equation, the best first step would be to substitute the second equation into the first equation, then solve for x.
Substitute equation 2 into equation 1:
[tex]\implies x^2-3x+2(3x+2)=-4[/tex]
Expand the brackets and simplify so that the equation equals zero:
[tex]\implies x^2-3x+6x+4=-4[/tex]
[tex]\implies x^2+3x+4+4=0[/tex]
[tex]\implies x^2+3x+8=0[/tex]
Now use the Quadratic Formula to solve for x.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Define the variables:
[tex]\implies a=1, \quad b=3, \quad c=8[/tex]
Substitute the values into the formula and solve for x:
[tex]\implies x=\dfrac{-3 \pm \sqrt{3^2-4(1)(8)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-23}}{2}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-1 \cdot 23}}{2}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-1}\sqrt{23}}{2}[/tex]
Remember that [tex]i^2=-1[/tex]
[tex]\implies x=\dfrac{-3 \pm i\sqrt{23}}{2}[/tex]
Therefore, the solutions to the system of equations are:
[tex]x=\dfrac{-3 + i\sqrt{23}}{2}, \quad \dfrac{-3 - i\sqrt{23}}{2}[/tex]
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2. There are 10 pieces of paper, numbered
consecutively from 20 to 29, stuffed in a box.
What is the probability of choosing a prime
numbered paper if one piece is chosen at
random?
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Prime numbers between 20 - 29 = 23 and 29.
There are 2 prime numbers out of these 10.
Therefore,
P(choose prime number) = [tex]\frac{2}{10} \\=\frac{1}{5}[/tex]
if you shift the absolute value parent function, F(x)= IxI, right 9 units, what is the equation of the new function?
A. G(x)=IxI-9
B. G(x)=Ix+9I
C. G(x)=Ix-9I
D. G(x)=IxI+9
Paolo helped in the community garden for 2 3/4 hours this week. That was 1 5/6 equal length shifts, because Paolo stopped early one day when it started to rain.
How long is a single shift?
PLS HELP ASAP
By taking the quotient between the total number of hours and the number of shifts each shift is 1.5 hours long.
How long is a single shift?
We know that Paolo worked (2 + 3/4) hours this week, and that is equivalent to (1 + 5/6) shifts.
To find the number of hours that each shift takes, we need to take the quotient between the total number of hours and the number of shifts:
[tex]\frac{(2 + 3/4)h}{1 + 5/6} = 1.5 h[/tex]
This means that each shift is 1.5 hours long.
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Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.
The measure of Arc B A C is 240. What is the ratio of the measure of the major arc to the measure of the minor arc?
3:1
1:3
2:1
1:2
The ratio of major to minor arc = 2 : 1
What is a Circle?
A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
Calculation
The length of an arc (L) with center angle θ is given by:
L = (θ/360) * 2πr
where r is the radius.
Putting the values in the above formula.
For the major arc:
L = (240/360) * 2πr
For the major arc:
l = ((360-240)/360) * 2πr
l = (120/360) * 2πr
The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1
The ratio of major to minor arc = 2 : 1.
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Answer:c
Step-by-step explanation:
What are the domain and range of g of x equals negative 3 times the square root of the quantity x minus 1? D: (1, ∞) and R: (0, ∞) D: [–3, ∞) and R: [0, ∞) D: (–3, ∞) and R: (–∞, 0) D: [1, ∞) and R: (–∞, 0]
The domain of the function is [1, ∞) and the range is [0, ∞)
How to determine the domain and the range?The equation of the function is given as:
g(x) = 3√x - 1
The domain is the possible values of x.
Set the radicand to greater than or equal to 0
x - 1 >= 0
Add 1 to both sides
x >= 1
This can be rewritten as:
[1, ∞)
Breakdown
g(x) = 3√x - 1
x - 1 >= 0
x >= 1
[1, ∞)
The range is the possible values of y.
Set the radicand to 0
g(x) = 3 * 0
Evaluate the product
g(x) = 0
This can be rewritten as:
[0, ∞)
Breakdown
g(x) = 3√x - 1
g(x) = 3 * 0
g(x) = 0
[0, ∞)
Hence, the domain of the function is [1, ∞) and the range is [0, ∞)
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Answer:
Correct answer is D: [1, ∞) and R: (-∞, 0]
Step-by-step explanation:
Insert the given function on desmos to observe the following explanation.
The domain (x values) begin at 1, and go on to positive infinity (the squared bracket indicates a stop/start at that certain point). The range goes into negative infinity (y values) and begins at the y value of 0, so it does not go above that point on the y axis (hence the squared bracket).
A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32. 1. How much do you think a bus containing 30 people would be charged?
The charges of entrance fee for a bus containing 30 people is $98
Equationlet
Fixed charge = xAdditional charge per person = yNumber of person = mCharges For 2 people = mx + y
14 = 2x + y
Charges For 4 people = mx + y
20 = 4x + y
14 = 2x + y
20 = 4x + y
subtract both equation20 - 14 = 4x - 2x
6 = 2x
x = 6/2
x = 3
Substitute x = 3 into
14 = 2x + y
14 = 2(3) + y
14 = 6 + y
14 - 6 = y
8 = y
Charges For 8 people = mx + y
= 8(3) + 8
= 24 + 8
= $32
Therefore,
Charges For 30 people = mx + y
= 30(3) + y
= 90 + 8
= $98
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According to the graph, for which values of x is y always negative?
Answer:
3rd option
Step-by-step explanation:
y is negative below the x- axis , that is for values of x in the interval
x > - 6 and x < 6
What is the range of the function shown on the graph
Answer:
[tex]y \geq - 6[/tex]
Step-by-step explanation:
the range is all the y values shown in the graph, so as you can see, the y values are all those greater than or equal to -6
Solve to find the value for x in the linear equation: 3(−4x 5) = 12. 1. use the distributive property: 2. use the subtraction property of equality: 3. division property of equality: 3(−4x) 3(5) = 12 −12x 15 = 12 −12x 15 − 15 = 12 − 15 −12x = −3 x =
Answer:
1/4
Step-by-step explanation:
I think that you forgot the addition or the subtraction sign between -4x and 5. I will assume that it was an addition sign
3(-4x+5) = 12 Multiply everything in the parentheses by 3
-12x + 15 = 12 Subtract 15 from both sides
-12x = -3 Divide both sides by -12
x = -3/-12 = 3/12 =1/4
What is the midpoint of the segment shown below?
Answer:
The correct answer choice is D
Which graph represents the circle given by the equation x + y - 4x + 9y -7 = 0?
The graph of the circle equation is graph (d)
How to determine the circle?The equation is given as:
x^2 + y^2 - 4x + 9y -7 = 0
Rewrite as:
x^2 - 4x + y^2 + 9y = 7
Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.
So, we have:
(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25
Evaluate the sum
(x - 2)^2 + (y + 3)^2 = 31.25
A circle equation is represented as:
(x - h)^2 + (y - k)^2 = r^2
Where
Center = (h, k)
Radius = r
So, we have:
(h, k) = (2, -3)
r^2 = 31.25
r = 5.5
The circle that has a center of (2, -3) and a radius of 5.5 is graph d
Hence, the graph of the circle equation is graph (d)
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Suppose you want to purchase a home for $425,000 with a 30-year mortgage at 5.44% interest. Suppose also that you can put down 30%. What are the monthly
payments? (Round your answer to the nearest cent.)
$
What is the total amount paid for principal and interest? (Round your answer to the nearest cent.)
$
What is the amount saved if this home is financed for 15 years instead of for 30 years? (Round your answer to the nearest cent.)
$
Need Help?
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Mostly sunny
1
2
W
3
E
$
4
R
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%
T
6
&
7
8
L MO
9
O
O
U
+
11
7/30
Answer:
a) payment: $1677.99
b) total repaid: $604,076.40
c) saved: $168,231.60
Step-by-step explanation:
The amortization formula can be used to find the monthly payment on the loan. The total repaid will be the sum of payments made. The amount saved will be the difference between the total repaid amounts for the different loans.
Amortization formulaThe payment A on a loan of principal P at annual rate r for t years is given by ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
ApplicationThe loan of interest is for $425,000 × (1 -30%) = $297,500. Then the payments on a 30 year loan are ...
A = $297,500(0.0544/12)/(1 -(1 +0.0544/12)^-360) ≈ $1677.99
For a 15-year loan, the payments are ...
A = $297,500(0.0544/12)/(1 -(1 +0.0544/12)^-180) ≈ $2421.36
a)The above calculation shows the monthly payment is $1677.99.
b)The total repaid is the sum of 360 monthly payments:
360×$1677.99 = $604,076.40
c)The total repaid is the sum of 180 monthly payments:
180×$2421.36 = $435,844.80
and the savings is ...
$604,076.40 -435,844.80 = $168,231.60
__
Additional comment
We are asked to round to the nearest cent. The payment amounts here are accurately calculated to that precision. The total repaid on an actual loan will be slightly different, because the final payment will be slightly different.
The 30-year mortgage will have a slightly lower final payment because the monthly amount is rounded up. The 15-year mortgage will have a slightly higher final payment because the monthly amount is rounded down.
Overall, this means the totals of payments shown here, and their difference, vary slightly from the reality of loans of this kind. (They're probably not accurate to the nearest cent.)
Even using the "exact" payment value may not give the actual loan values. This is because the actual amortization schedule is rounded to the nearest cent each month. The cumulative effect of this rounding seems to be calculable only by figuring the 360 (or 180) actual monthly balance amounts.
We have calculated the answers in the manner we suppose is expected. Producing an actual amortization spreadsheet is a bit more work.
How will the volume of the pyramid change if each side is multiplied by a factor of one-half? a rectangular pyramid. the volume will be 2 times the original volume. the volume will be 8 times the original volume. the volume will be one-fourth times the volume. the volume will be one-eighth times the volume.
The volume will be one-eighth times the volume.
How to determine the volume?The scale factor k is given as
k = 1/2
Let the initial volume be v
When each side is multiplied by the scale factor, we have the new volume to be
V = k^3 * v
Substitute 1/2 for k in the above equation
V = (1/2)^3 *v
Evaluate the exponent
V = 1/8 *v
This gives
V = 1/8v
Hence, the volume will be one-eighth times the volume.
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Geometry: write a formal proof, ASAP!!!
We have proven that ∠BEC ≅ ∠BCE by using the alternate interior angles theorem
Proof of anglesFrom the question, we are to write a proof to prove that ∠BEC ≅ ∠BCE
From the given information, we have that
BC || EF
Note that line DE is a transversal
Thus, by the alternate interior angles theorem, we have that
∠BCE ≅ ∠FEC
Also, we were given that line EC bisects ∠BEF
That is,
Line EC divides ∠BEF into two equal angles.
Therefore,
∠BEC ≅ ∠FEC
By the substitution property of equality, we get
∠BEC ≅ ∠BCE
Hence, we have proven that ∠BEC ≅ ∠BCE by using the alternate interior angles theorem
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Please help me with this question
Used formula
d/dx(x^n)=nx^{n-1}Answer:
6x+5
Step-by-step explanation:
the derivative of a sum is equal to the sum of derivatives:
(3x^2 + 5x + 2)' = (3x^2)' + (5x)' + (2)' = 6x + 5
Q.E.D.
There were 150 females surveyed, evenly divided for all levels of expertise. there were 450 males surveyed. there were 80 expert players and 180 novice players.
The values which would help complete the table according to the complete part of the task content are as evaluated.
What value would help complete the table?First, the total number of average players can be evaluated by summing up the total number of players vertically as follows;
180 + average + 80 = 600
The number of average players is therefore; 600-180-80 = 340 average players.
Also, the number of female expert players can be evaluated vertically as;
50 + 50 + female expert = 150
Female expert = 150-50-50 = 50 female experts.
The number of male novice players can be evaluated horizontally as;
Male novice + 50 = 180
Male novice = 180 - 50 = 130.
The number of average male players is therefore easily evaluated vertically as;
130 + male average + 30 = 600
male average = 600-130-30 = 440.
Remarks: The table which is required to be completed is that which is in the attached image.
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Answer:
130, 290, 340, 50
Step-by-step explanation:
just do the math, I got it right on edmentum.
I'LL GIVE YOU BRAINIEST!
1 1/5 · x/3 = 9/10 solve for x
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]
[tex]\huge\textbf{Solve:}[/tex]
[tex]\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]
[tex]\mathbf{\rightarrow \dfrac{1\times5+1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]
[tex]\mathbf{\rightarrow \dfrac{5 + 1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]
[tex]\mathbf{\rightarrow \dfrac{6}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{\rightarrow \dfrac{2}{5}x = \dfrac{9}{10}}[/tex]
[tex]\huge\textbf{Multiply \boxed{\bf \dfrac{5}{2}} to both sides:}[/tex]
[tex]\mathbf{\rightarrow \dfrac{5}{2}\times \dfrac{2}{5}x = \dfrac{5}{2}\times \dfrac{9}{10}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{\rightarrow x = \dfrac{5}{2}\times \dfrac{9}{10}}[/tex]
[tex]\mathbf{\rightarrow x = \dfrac{5\times9}{2\times10}}[/tex]
[tex]\mathbf{\rightarrow x = \dfrac{45}{20}}[/tex]
[tex]\mathbf{\rightarrow x = \dfrac{45\div5}{20\div5}}[/tex]
[tex]\mathbf{\rightarrow x = \dfrac{9}{4}}[/tex]
[tex]\mathbf{x \approx 2 \dfrac{1}{4}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = }\frak{2 \dfrac{1}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Question :
1 1/5 . x/3 = 9/10 Solve for xSolution :
>> (5 × 1 + 1 / 5) × (x / 3) = 9 / 10
>> (5 + 1 / 5) × (x / 3) = 9 / 10
>> (6 / 5) × (x / 3) = 9 / 10
>> 6 × x / 5 × 3 = 9 / 10
>> 6x / 15 = 9 / 10
>> 2x / 5 = 9 / 10
>> 2x × 10 = 5 × 9
>> 20x = 45
>> x = 45 / 20
>> x = 9 / 4
Therefore,
Value of x is 9 / 4 !!From Dan's ranch one road is built to get to Andy's house two roads are built to get wo Willies house. How many way are there now to get from Andys house to Willies house?
Answer:
the answer you can find onlinde \\\\
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option D is correct
Step-by-step explanation:
there were no corn muffins sold.
Answer:
No corn muffins were sold at the bake sale :)
Step-by-step explanation:
Lets go thru each answer choice to see why it is incorrect/correct :)
A.
A is incorrect because more cookies were sold than muffins! that is why A is incorrect :)
B.
This calls for adding! lets do that now :)
Chocolate chip: 5
Oatmeal: 1
Peanut: 3
6 + 1 + 3 = 10
10 < 11
10 is not greater than 11 so B is incorrect!! :)
C.
We need to add again so lets do that now!
Corn: 0
Muffin: 2
2 + 0 = 2
2 < 3
2 is less than 3 so C is incorrect!! :)
D.
It is true that 0 corn muffins were sold at the bake sale so D is our answer!! :D
Have an amazing day!!
Please rate and mark brainliest!!