Answer:
|x y 1|
|7 -3 1| = 0
|4 -8 1|
x*(-3*1 - (-8)*1) - y*(7*1 - 4*1) + 1*(7*-8 - 4*-3) = 0
5x - 3y - 44 = 0
Step-by-step explanation:
Theprofit(indollars)earnedbysellingwappletreesisrepresentedby w2 − 4w + 14. The profit (in dollars) earned by selling w pear trees is
represented by 2w + 10. Write a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
The profit earned by selling w pear trees is 2w + 10
To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:
\((w^2 - 4w + 14) - (2w + 10)\)
Simplifying the expression:
\(w^2 - 6w + 4\)
Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).
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Elyas is on holiday in Greece.
He wants to buy a pair of sunglasses for €90
The exchange rate is €1 = £0.875
Elyas says, "The sunglasses cost less than £70"
Using a suitable approximation, show that Elyas is wrong.
Answer:
To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.
To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.
Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.
We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds
Step-by-step explanation:
(12, 6), (28, 8) slope
Step-by-step explanation:
slope, m = ( y1-y2) / (x1-x2) = ( 6-8) / (12-28) = -2 / -16 = 1/8
Let S be the universal set, where: S = { 1 , 2 , 3 , ... , 18 , 19 , 20 } Let sets A , B , and C be subsets of S , where: Set A = { 1 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 18 , 19 , 20 } Set B = { 1 , 3 , 4 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 20 } Set C = { 3 , 6 , 7 , 8 , 9 , 10 , 11 , 13 , 14 , 17 } Find the number of elements in the set ( A ∪ B ∪ C ) n ( A ∪ B ∪ C ) = Find the number of elements in the set ( A ∩ B ∩ C ) n ( A ∩ B ∩ C ) =
Answer:
A B C=(6,10,11)2.A B C =(1,3,4,5,7,8,9,12,13,14......20)
The answer is:\(\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) = \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}} }\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=\{6, 10, 11\}}\)
Before giving the solution let discuss what is the universal set, Union, and intersection:
A universal set (typically represented by U) is a collection that has items from all the sets, with no elements being repeated.It specifies in general as a set of all items to be considered.It describes all the elements or objects, including the elements, of other collections.The union of two sets is a collection with all A or B components (possibly both).The intersection denotes the resulting set between such two sets, which contains all the common items.Following are the solution to the question:
Given:
Universal set \(\bold{ S = \{ 1 , 2 , 3 , ... , 18 , 19 , 20 \} }\)
Let
\(\bold{A, B, C \subset S}\) i.e.
\(\bold{A\subset S}\\\\\bold{B\subset S}\\\\\bold{C\subset S}\\\\\)
Set \(\bold{A = \{ 1 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 18 , 19 , 20\}}\)
Set \(\bold{B = \{ 1 , 3 , 4 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 20 \}}\)
Set \(\bold{C = \{ 3 , 6 , 7 , 8 , 9 , 10 , 11 , 13 , 14 , 17 \}}\)
Find:
\(\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) =?}\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=?}\)
Solution:
In \(\bold{(A \cup B\cup C) \cap(A\cup B\cup C)}:\)
Calculating:
\(\bold{(A \cup B\cup C) }= \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}\)
In this question, the "\((A \cup B\cup C)\)" value is equal to "\(\bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}\)" that is 18 elements.
When we intersecting both sets that is\(\bold{(A \cup B\cup C) \cap(A\cup B\cup C)}\) so, its value will be the same that is:
"\(\bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}\)" .
In \(\bold{(A \cap B\cap C) \cap(A \cap B \cap C):}\)
Calculating:
\(\bold{(A \cap B\cap C) }= \bold{\{6, 10, 11, \} }\)
In this question, the "\(\bold{(A \cap B\cap C) }\)" value is equal to "\(\bold{\{6, 10, 11 \} }\)" that is 3 elements.
When we intersecting both sets that are \(\bold{(A \cap B\cap C) \cap(A \cap B \cap C):}\) so, its value will be the same that is:
"\(\bold{\{6, 10, 11 \} }\)".
So, the final answer is:\(\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) = \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}} }\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=\{6, 10, 11\}}\)Learn more:
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Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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A bottle of water is supposed to have 12 ounces. The bottling company has determined that 98% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled?
A. Zn=36, p=0.98, x=0
B. n=36, p=0.98, x=12
C. n=0, p=0.98, x=36
D. n=12, p=36, x=98
Answer:
B. n=36, p=0.98, x=12
Step-by-step explanation:
98% of bottles have the correct amount.
The probability is equal to 0.98
That is p = 0.98
A bottle of water is supposed to have 12 ounces.
That is the expected value is 12
X = 12
36 bottles has all bottles properly filled
The possible sample space is 36
N = 36
The following numbers represent the highest temperatures (in Fahrenheit) during the last 18 days of a city. 68, 75, 87 ,99, 72, 72, 65, 64, 61, 70, 77 ,70 ,67, 73, 83, 55, 58, 54 a. Calculate the mean, variance, and the standard deviation of the above data. b. Calculate the first quartile, the third quartile, and the 90th percentile. Interpret these values.
Answer:
a) The mean μ = 70.\(\overline 5\)
The variance = 127.3203
The standard deviation is 11.28363
b) i) The first quartile is 63.25
ii) The third quartile is 75.5
iii) The 90th percentile is 88.2
Step-by-step explanation:
a) The city temperatures ae presented as follows;
Fahrenheit; 68, 75, 87, 99, 72, 72, 65, 64, 61, 70, 77, 70, 67, 73, 83, 55, 58, 54
The data points in the sample, N = 18
The mean, μ = ∑\(x_i\)/N
Where;
\(x_i\) = The value of each data point
N = The sample size = 18
From Microsoft Excel, we have;
∑\(x_i\) = 1,270
∴ μ = 1,270/18 = 70.\(\overline 5\)
The mean μ is 70.\(\overline 5\)
The variance is given as follows;
\(\sigma^2 =\dfrac{\sum \left (x_i-\mu \right )^{2} }{N - 1}}\)
The variance = 127.3203
The standard deviation is given as follows;
\(\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N - 1}}\)
We get σ = 11.28363
The standard deviation, σ = 11.28363
b) i) The first quartile, Q₁, is the (n + 1)/4th term
∴ The first quartile is the (18 + 1)/4 = 19/4 = 4.75th term
54, 55, 58, 61, 64, 65, 67, 68, 70, 70, 72, 72, 73, 75, 77, 83, 87, 99
The first quartile = 61 + (64 - 61)×0.75 = 63.25
ii) The third quartile, Q₃, is the 3×(n + 1)/4th term
∴ The third quartile is the 3×(18 + 1)/4 = 57/4 = 14.25th term
Therefore;
Q₃ = 75 + (77 - 75)×0.25 = 75.5
The third quartile is 75.5
iii) The 90th percentile = 90/100 × (18 + 1)th term = 17.1th term
∴ The 90th percentile = 87 + (99 - 87)×0.1 = 88.2
Which property explains why these expressions are equal?
5(g + h) = 5g + 5h
Answer:
distributive
Step-by-step explanation:
Answer: distrubitive
Step-by-step explanation:
Math word problem giving brainlest
Answer:
0.625%
Step-by-step explanation:
I took the numbers and round them up to make the exact answer.
Need help for Geometry
Given :
segment AB = segment DEsegment BC = segment EFsegment AC = segment DFSince all sides are equal triangle ABC is congruent to triangle DEF under the SSS congruence criterion.
m∠B = (92+y)°
m∠E = (6y-28)°
We know that :
angle B = angle EWhich means :
\( = \tt92 + y = 6y - 28\)
\( =\tt 92 = 6y - 28 - y\)
\( =\tt 92 = 5y - 28\)
\( = \tt92 + 28 = 5y\)
\( = \tt120 = 5y\)
\( =\tt y = \frac{120}{5} \)
\( =\tt y = 24\)
Thus, the value of y = 24
Then :
angle B :
\( =\tt 92 + y\)
\( =\tt 92 + 24\)
\( = \tt116\)
Thus, the measure of angle B = 116
angle E :
\( = \tt6y - 28\)
\( =\tt 6 \times 24 - 28\)
\( =\tt 144 - 28\)
\( =\tt 116\)
Thus, the measure of angle E = 116
Since the measure of both these angles is equal we can conclude that we have found out their correct measures.
measure of segment AC = 2x + 47
Measure of segment DF = 6x + 3
Segment AC = Segment EFWhich means :
\( = \tt6x + 3 = 2x + 47\)
\( = \tt6x + 3 - 2x = 47\)
\( = \tt4x + 3 = 47\)
\( \tt4x = 47 - 3 \\ 4x = 44\)
\( =\tt x = \frac{44}{4} \)
\( =\tt x = 11\)
Thus, the value of x = 11
Let us check whether or not we have found out the correct value of x by placing 11 in the place of x :
\( = \tt6 \times 11 + 3 = 11 \times 2 + 47\)
\( =\tt 66 + 3 = 22 + 47\)
\( =\tt 69 = 69\)
m∠B = 69°m∠C = 69°Therefore, the value of x = 11Write the equation of the question.
The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.
According to the question,
We have the following information:
Slope of the line = 1/3
We know that the slope of the line is denoted by m.
y-intercept of the line = -1
We know that the y-intercept is denoted by b.
We have the following equation for the line in slope-intercept form:
y = mx+b
Putting the above values in this equation:
y = x/3-1
Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.
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If f(x) = 10 - 3x, what is the value of f(2)?
Answer:
4
Step-by-step explanation:
Put 2 where x is and do the arithmetic.
f(2) = 10 -3∙2 = 10 -6
f(2) = 4
Graph slope =-3 y-intercept=4
Answer:
Step-by-step explanation:
slope intercept: y = mx + b
where m is the slope and b is the y-intercept
Equation: y = -3x + 4
Since y-intercept is given, then we have the first point of the line as (0,4)
Let's find the value of x when y is 0
y = -3x + 4
0 = -3x + 4
3x = 4
x = 4/3
(4/3,0) ---second point
Since there are two points/coordinates already then we can now plot/graph.
Michael paid $10 for a six-pack of socks at the store. How much would one pair of those socks cost?
Question 14 (1 point)
Chris sells computer equipment for his company. He receives a base pay of $300
plus commission on his sales. He receives 10% for the first $5000 in sales and 15%
anything over $5000.
Last week, he sold $17000 in computer equipment. Find his gross pay.
Round to the nearest whole dollar.
For your answer, do NOT include symbols, commas, words, etc.
HELP PLS
Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.
How is the gross pay determined?The gross pay is the addition of the base pay and the sales commission.
The sales commission is graduated and computed as follows:
Chris' base pay = $300
Sales Commissions:
First $5,000 = 10%
Above $5,000 = 15%
Last week's sales = $17,000
10% Commission = $500 ($5,000 x 10%)
15% Commission = $1,800 ($17,000 - $5,000 x 15%)
Total Commission = $2,300
Gross pay = Base Pay + Commission
= $2,600 ($300 + $2,300)
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I toss a coin 60 times. It lands on tails 24 times. What percent of the time does it land on tails?
How many joules of gravitational potential energy are stored in a system where a feather with a mass of 0.008 kilograms is positioned 22 meters above the ground? Can somebody help
Answer:
G.P.E = 1.725 Joules
Step-by-step explanation:
Given the following data;
Mass = 0.008 kg
Height, h = 22m
To find the gravitational potential energy;
Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.
Mathematically, gravitational potential energy is given by the formula;
\( G.P.E = mgh\)
Where;
G.P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
We know that acceleration due to gravity is equal to 9.8m/s²
Substituting into the formula, we have;
GPE = 0.008 * 9.8 * 22
GPE = 1.725 Joules
Which of the following is a rational number
MULTIPLE CHOICE HELP ASAP! Brainliest for correct answer.
Please only answer if you understand the question :)
Which equation goes with the circle?
Answer:
An equation of the circle with centre (-2,1) and radius 3 is \(\mathbf{(x+2)^2+(x-1)^2=9}\)
Option D is correct.
Step-by-step explanation:
Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3
The equation of circle is of form: \((x-h)^2+(x-k)^2=r^2\) where (h,k) is centre and r is radius.
We have centre C (-2,1) so, we have h = -2 and k = 1
We have radius = 3 so, r = 3
Putting values in the equation and finding the required equation:
\((x-h)^2+(x-k)^2=r^2\\(x-(-2))^2+(x-1)^2=(3)^2\\(x+2)^2+(x-1)^2=9\)
So, an equation of the circle with centre (-2,1) and radius 3 is \(\mathbf{(x+2)^2+(x-1)^2=9}\)
Option D is correct.
Ernest plans to attend Community College for two years. tuition at the college is $6,900 each year and it's earned a one-time scholarship for $2,500 he expects to earn $2,000 each year at his part-time job his parents have promise to pay the rest of his tuition how much money will earn his parents pay for two years of tuition
Answer:
7,300
Step-by-step explanation:
6900x2 years=13,800 total tuition.
13800-2500-4000 (2000x2)=7,300
A pair of tow trucks are pulling on a trailer that is stuck
in mud. The first truck pulls a a pair of tow trucks are pulling on a trailer that is stuck in mud. the first truck pulls with a force of 10,000
pounds at a 110° angle from the second truck, which is
pulling with a force of 7,500 pounds. What is the
magnitude of the resultant force?
9.821 pounds
10,244 pounds
14,405 pounds
24 226 pounds
Answer:
R=10,244 Lb
Step-by-step explanation:
In order to solve this problem, we can start by drawing the situation. (See attached picture).
We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°
In this case we can find the resultant force by using the law of cosines:
\(A^{2}=B^{2}+C^{2}-2AB cos \alpha\)
so we can use the data given by the problem:
\(R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha\)
so we can solve this for R, so we get:
\(R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}\)
now we can substitute:
\(R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}\)
which yields:
R=10,244Lb
Answer:b
Step-by-step explanation:
Took the test
A bag contains 6 red marbles, 5 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
Step-by-step explanation:
i think you meant whats the probabilty of it being red
if thats what you meant, then it would be:
total number of marbles : 18
number of red marbles: 6
probability of the green marbles: 6/18
so the answer is 1/3
The diagram below shows all the possible totals from adding together
the results of rolling two fair dice.
Calculate P(total is neither 5 nor 7).
Give your answer as a fraction in its simplest form.
Answer:
1/6
Step-by-step explanation:
ia fair dice only has 6 numbers so you can't get 7 so there is two 5 since its two fair dice it's out of 12,2/12 divide both by 2 because that the highest common factor and you get 1/6 that your answer
Given: f(x) = 4.1 42 4x-10 x-2 Determine the x- and y-intercepts of f. 4.3 a x=2² Write f(x) in the form: f(x)=- + q. Draw the graph of f, clearly show the intercepts with the axes and the asymptotes.: 15. 44 Give the equations of the asymptotes of f(x) + 3.
f(x) = 4.1/(42.4x-10(x-2)), x-intercept = -4.878, y-intercept = (0,-2.05), asymptotes: vertical at x=2, horizontal at y=0, and slant at y=4.1/8x.
Given: f(x) = 4.1/(42.4x-10(x-2))
To find the x-intercept, we set f(x) to zero and solve for x:
0 = 4.1/(42.4x-10(x-2))
0 = 4.1/(32.4x+20)
0 = 4.1/4.08(x+4.878)
So, the x-intercept is x = -4.878.
To find the y-intercept, we set x to zero and solve for f(x):
f(0) = 4.1/(42.4(0)-10(0-2))
f(0) = -2.05
So, the y-intercept is (0,-2.05).
To write f(x) in the form f(x) = -1/(ax + b) + q, we can simplify the expression as follows:
f(x) = 4.1/(42.4x-10(x-2))
f(x) = 4.1/(32.4x+20)
f(x) = 4.1/4.08(8x+5)
So, a = 8, b = 5, and q = 4.1/4.08.
To draw the graph of f, we plot the x- and y-intercepts and the vertical asymptote x = 2.
We can find the horizontal asymptote by noting that as x becomes very large or very small, the term 10(x-2) dominates the expression, so f(x) approaches 4.1/-10x. Thus, the horizontal asymptote is y = 0.
To find the equations of the slant asymptotes, we divide the numerator by the denominator using long division:
4.1
8x + 5 | 4.1
- 4.1
0
So, the slant asymptote is y = 4.1/8x.
Therefore, the intercepts of f are x = -4.878 and (0,-2.05), and the equation of f(x) in the form f(x) = -1/(ax + b) + q is f(x) = -1/(8x + 5) + 1.0039.
The graph of f has intercepts with the x-axis at x = -4.878 and the y-axis at (0,-2.05), a vertical asymptote at x = 2, a horizontal asymptote at y = 0, and a slant asymptote at y = 4.1/8x.
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which table does not show y as a function of x?
Answer:
I am confident the answer is H.
3.Which of the following is not a perfect cube?
a) 216
b) 1000
c) 243
d) 1331
At Kamari's Sweet Treats, cookies are packaged in boxes of 8. Depending on the cookie flavor, the most a box can cost is $16.
Let x represent how much each cookie costs. Which inequality describes the problem.
a x / 8 < 16
b 8 + x ≥ 16
c 8 x ≤ 16
d x − 8 ≤ 16
The inequality that describes the problem is C. 8x ≤ 16
Which inequality describes the problem?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:
8x ≤ 16
The correct option is C.
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A town in Florida received 12 inches of rain in a one week period. At this rate, how many inches of rain would this town receive in a 28 day period?
Answer: 36 inches of rain
Step-by-step explanation: The explanation is that you have 12 inches of rain for a 7 day period. If it is a 28 day period, 7/28 = 3. The you have to multiply 3 by 12 to get the answer 36, therefore it equals 36 inches of rain in a 28 day period.
Use completing the square to rewrite y = x2 − 4x − 21 in vertex form. Identify the maximum or minimum value.
Step 1:
Write the quadratic equation
\(\text{y = x}^2\text{ - 4x - 21}\)Step 2:
To find the vertex point, find x = -b/2a
\(\begin{gathered} \text{a = 1 , b = -4} \\ x\text{ = }\frac{-(-4)}{2\times1} \\ \text{x = }\frac{4}{2} \\ \text{x = 2} \end{gathered}\)Step 3:
find the value of y for the corresponding value of x.
\(\begin{gathered} \text{y = x}^2\text{ - 4x - 21} \\ y=2^2\text{ - 4(2) - 21} \\ \text{y = 4 - 8 - 21} \\ \text{y = -25} \end{gathered}\)Step 4:
\(\begin{gathered} \text{From ax}^2\text{ + bx + c = 0} \\ \text{Compare with x}^2\text{ - 4x - 21 = 0} \\ \text{If a > 0 (positive) then the vertex is minimum} \\ \text{if a < 0 (negative) then the vertex is maxi}mim \\ \text{Hence, from the equation a >0, them the vertex is minimum.} \end{gathered}\)Final answer
The minimum value is -25
-5n - 5 = -2 (2n - 2)
Answer:
n = +1
Step-by-step explanation:
Hope this helps
Answer:
im pretty sure -9 is the answer