Answer:
1. C
2. A
Step-by-step explanation:
2. Determine the points of intersection of each pair of functions. a) y = 4x^– 15x + 20 and y = 5x – 4 = - - b) y = - 2x^ + 9x +9 and y = - 3x – 5
To determine the points of intersection we first equate the expressions, then we solve for x. Once we have the values of x for which the functions are equal we plu them on one of the function to find its corresponding value of y.
a)
Let's equate the functions and solve for x:
\(\begin{gathered} 4x^2-15x+20=5x-4 \\ 4x^2-15x-5x+20+4=0 \\ 4x^2-20x+24=0 \\ 4(x^2-5x+6)=0 \\ x^2-5x+6=0 \\ (x-3)(x-2)=0 \\ \text{ then} \\ x=3 \\ or \\ x=2 \end{gathered}\)Now we find the corresponding values of y for each value of x; to do this we use the second equation.
When x=3:
\(\begin{gathered} y=5(3)-4 \\ y=15-4 \\ y=11 \end{gathered}\)Hence the functions intersect at (3,11)
When x=2:
\(\begin{gathered} y=5(2)-4 \\ y=10-4 \\ y=6 \end{gathered}\)Hence the functions intersect at (2,6)
Therefore the function intersect at the points (3,11) and (2,6).
b)
Let's equate the functions and solve for x:
\(\begin{gathered} -2x^2+9x+9=-3x-5 \\ 2x^2-9x-9-3x-5=0 \\ 2x^2-12x-14=0 \\ 2(x^2-6x-7)=0 \\ x^2-6x-7=0 \\ (x-7)(x+1)=0 \\ \text{ then} \\ x=7 \\ or \\ x=-1 \end{gathered}\)Now we find the corresponding values of y for each value of x; to do this we use the second equation.
When x=7:
\(\begin{gathered} y=-3(7)-5 \\ y=-21-5 \\ y=-26 \end{gathered}\)Hence the functions intersect at (7,-26)
When x=-1:
\(\begin{gathered} y=-3(-1)-5 \\ y=3-5 \\ y=-2 \end{gathered}\)Hence the functions intersect at (-1,-2)
Therefore the function intersect at the points (7,-26) and (-1,-2).
14 butter cookies 7 oatmeal cookies
Answer:
what?
Step-by-step explanation:
can you give me some more details
a) What is the value of cos x?
b) What is the value of cos z?
Give your answers as fractions in their
simplest forms.
Using cosine rule, angle x In the triangle is
21.79 degreesHow to find angle xThe angles are found first using cosine rule by the formula
cos A = (b² + c² - a²) ÷ 2bc
Solving for the angle x
substituting the values
cos x = (7² + 5² - 3²) ÷ 2 * 7 * 5
cos x = (65) ÷ 70
x = arc cos ( 0.9286 )
x = 21.79 degrees
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Can someone help me with this btw the bottom one is 5 1/2
what is the number of one-to-one functions from f from the set {1,2,... , n} to the set {1,2,... , n} so that f(x) = x for some 1 ≤ x < n and f(n) ≠ n?
The number of one-to-one functions from f from the set {1,2,... , n} to the set {1,2,... , n} so that f(x) = x for some 1 ≤ x < n and f(n) ≠ n is \((n-1) * (n-1)! * n * (n-1)^{(n-1)}\).
To count the number of one-to-one functions satisfying the given conditions, we can break it down into two cases:
Case 1: f(x) = x for some 1 ≤ x < n
In this case, we have (n-1) choices for the value of x. Once we select x, we can assign any value from {1, 2, ..., n} except x to f(n) since f(n) ≠ n. So, there are (n-1) choices for f(n). The remaining (n-2) elements can be assigned to any of the remaining (n-2) elements. Thus, the number of such functions for this case is (n-1) * (n-1)!
Case 2: f(n) ≠ n
In this case, we have n choices for the value of f(n) since it can take any value from {1, 2, ..., n-1}. For the remaining (n-1) elements, we have (n-1) choices for each element since f(x) cannot be equal to x. Thus, the number of such functions for this case is \(n * (n-1)^{(n-1)}\).
To find the total number of functions satisfying both cases, we need to multiply the number of functions from each case. Therefore, the total number of such functions is:
Total = \((n-1) * (n-1)! * n * (n-1)^{(n-1)}\)
Note: The symbol "!" denotes the factorial function, which means multiplying all positive integers from 1 to that number. For example, 5! = 5 * 4 * 3 * 2 * 1 = 120.
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Help me with answer asp
Answer:
picture #1 - 50.27 square units
picture #2 - 113.10 square units
picture #3 - 380.13 square units
Step-by-step explanation:
picture #1 - area = πr^2 -> π*4^2 = 50.27 square units
picture #2 - area = πr^2 -> π*6^2 = 113.10
picture #3 - area = πr^2 -> π*11^2 = 380.13
a least squares linear trend line is just a simple regression line with the years recoded. group of answer choices true false
a least squares linear trend line is just a simple regression line with the years recoded then it is a true statement
The simple linear regression model is;
y = mx + c
Where,
y = dependent variable
m is the slope
x is the independent variable
c is the y- intercept
The long-term trend only Least-Squares Regression Model also follows the same format except y becomes Yt and x becomes t.
The long-term trend only Least-Squares Regression Model is therefore the same as a simple linear regression only with different variable terms.
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please help me
Eliza scored 2 goals the first game. The last game of the year she scored 6 goals. What is the percent
of increase?
Answer:
300%
Step-by-step explanation:
Your technically just multiplying by 3. Hope this helps
Which equation represent the line shown on the graph
Anova first tests for an overall difference between the means, known as what type of test?
Anova (Analysis of Variance) first tests for an overall difference between the means, known as a "global" or "omnibus" test.
The purpose of this test is to determine if there is a statistically significant difference in means among multiple groups or treatments. It evaluates whether there is evidence to suggest that at least one of the group means is different from the others.
The Anova test compares the variation between groups to the variation within groups to assess if the differences in means are greater than what would be expected by chance.
If the test yields a significant result, it indicates that there is sufficient evidence to conclude that the means of the groups are not all equal.
In summary, Anova serves as a preliminary test to determine if there is an overall difference between the means before conducting further analyses to identify specific group differences.
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Which of the following statements regarding the transmission of pathogens from environmental surfaces are true?
a. Pathogens can be spread by contact with contaminated surfaces.
b. Placing a resident in a room previously occupied by a C. diff positive resident increases the risk for acquiring C. diff. c. You must touch a surface for at least 3 minutes for pathogenic transfer to occur. d. Most pathogens can only survive on surfaces for a few minutes
TRUE statements regarding the transmission of pathogens via environmental surfaces are the statements in option A and B.
What are Pathogens?Pathogens can be referred to as microscopic organisms which can cause diseases and illness. They are bacteria, fungi, virus or other disease causing organisms.
These pathogens can be transmitted via environmental surfaces especially by coming in contact with contaminated surfaces. Some pathogens survive longer on surfaces, while some only survive for few minutes.
If someone is placed in a room previously occupied by an infected person, the chances of contacting that same disease is high.
Thus, the statements that are TRUE regarding the transmission of pathogens via environmental surfaces are the statements in option A and B.
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Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
Answer:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.
Rotate 90° clockwise about the origin
Step-by-step explanation:
Polygon ABCD:
A = (-2, 4)B = (-8, 2)C = (-4, 8)D = (-2, 6)Dilate by a scale factor of 0.5 with the origin as the center of dilation (pink polygon on attached diagram).
This means multiply the x and y values of the points by 0.5:
A → (-1, 2)
B → (-4, 1)
C → (-2, 4)
D → (-1, 3)
Rotate 90° clockwise about the origin: (x, y) → (-y, x)
A' = (-2, 1)
B' = (-1, 4)
C' = (-4, 2)
D' = (-3, 1)
So the transformations are:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.Rotate 90° clockwise about the origin.last week we calculated the standard deviation by hand, and then used that to find the standard error. can we find the standard error now?
Yes, you can find the standard error now by taking the standard deviation divided by the square root of the sample size.
The standard deviation in a data set is the mean deviation of the data from their mean.
For sample size n for a data set with data points X1, X2, X3……..Xn for exact standard deviation:
1. Calculates the arithmetic mean M of the set data by adding them all and dividing by n.
M = ( X1+X2+ X3+…..+Xn) / n
2. Calculate the deviation (D) for each data point from the mean M
D = (Xi-M) for all
3. Squaring and sum of all deviations, sum of squares (SS)
4. Divide SS by n.This quantity is the sample variance V
5. Take the square root of V.
6. This quantity is the sample standard deviation, SD.
There are some specific terms and issues to consider. If you are estimating the standard deviation of a population from a sample and the population mean $ is not known, M serves as an unbiased estimate of $. Again, SS is divided by (n-1), not n.
The resulting standard deviation is an unbiased estimate of the population standard deviation based on the sample size, n. If the population mean is known, use that mean instead of the sample mean. , and the SD of the sample is only calculated for n through SS dives.
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Find the measure of the numbered angle, and name the theorem used that justify your work.
m∠5=m∠6
The measure of m∠5 = m∠6, and this equality can be justified by the Vertical Angles Theorem.
The Vertical Angles Theorem states that when two lines intersect, the pairs of vertical angles formed are congruent. In other words, if two lines intersect at a point, then the angles opposite each other (across the intersection) are equal in measure. This theorem is based on the geometric property that vertical angles are formed by a pair of opposite rays.
Given, that m∠5 = m∠6.
The measure of the numbered angle is not provided in the question, so it cannot be determined without additional information. However, if we assume that m∠5=m∠6, then the theorem that justifies this work is the Vertical Angles Theorem. According to the Vertical Angles Theorem, when two lines intersect, the vertical angles formed are congruent.
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Product of 4h × 5m is what
Answer:
20hm
Step-by-step explanation:
→ Remember rule a × b = ab
4h × 5m = 20hm
Sophia and her friends are eating lunch in the city. The
bill is $45.00 before tax. The girls want to leave a 15%
tip on the total bill with tax. How much will the total bill
be including tax and tip if tax is 8%?
Answer:
I believe it would be $52.29
Step-by-step explanation:
You put $45.00 with 15% in a percentage calcuator, (math w ay might work,) which gives you 6.75 and you put the tax of 8% in a tax calculator which gives you 7.29.
Then you just add $45.00 + 7.29 = $52.29!
Hope this helps lol
HELP PLZZZZZZZZZZZZZZ
Answer:
30 gallons/hr
Step-by-step explanation:
180/60 = 30
The theater sells two types of tickets: adult tickets for $7 and child tickets for $4. Last night, the theater sold a total of 76 tickets for a total of $469. How many adult tickets did the theater sell last night?
Answer:
55 tickets for adults
Step-by-step explanation:
Start by setting up two equations. One equation will be the total amount of money spent and the other is the total amount of tickets sold. a is the # of adult tickets and c is the # of children tickets sold.
7a+4c=469
a+c=76
Now solve for c in the second equation. Then use that to substitute for c in the first equation.
c=76-a
7a+4(76-a)=469
7a+ 304-4a =469
7a+4a=165
3a=165
a=165/3
a=55
help me solve this problem
Answer:
The answer is True. Just trust me on this one.
kay swam .7km in her triathlon. how many meters did she swim?
Consider that 1 km = 1000 m, then, you have:
7 km = 7(1000 m) = 7000 m
Hence, Kay swam 7000 meters
Answer:
0.7 km = 700 meters
Step-by-step explanation:
1 km = 1000m, so 0.7 km is 7/10 of a km, or 700 m.
Perpendicular to y=-2x+1, but passes through (-4,4)
What a deal! Just deShirts is having a 20% off sale. Trixie rushes to the store and buys 14 shirts. When the clerk rings up her purchases, Trixie sees that the clerk has added the 5% sales tax first, before taking the discount. Trixie wonders whether adding the sales tax before the discount makes her final cost more than adding the sales tax after the discount. Without making any calculations, make a conjecture. Is Trixie getting charged more when the clerk adds sales tax first? The next few problems will help you figure it out for sure.
Does it matter if sales tax is added before the discount or after her final total? (Yes or no AND why or why not?)
Answer:
no because she would get the same total if she added it before or after
Step-by-step explanation:
Graph this inequality:
y≤-2
Given that 6RSB ~ 6ZQM, list the three pairs of congruent angles and state the three equal ratios of
corresponding sides.
PLZ HELP 55 points
Answer:
answer is 3ZSM 1
Step-by-step explanation:
it has a Brainly question for something experimentable:-)
Someone be as kind as to offer some help?
Use the elimination method to solve the system of equations. Choose the correct ordered pair
-x+5y=-4
4x+3y=16
Will give brainiest.
Answer:
x = 4 and y = 0
Step-by-step explanation:
Using the elimination method:
4(-x + 5y=-4) --> -4x + 20y = -16.
Now we add -4x + 20y = 016 and 4x + 3y = 16. This gives us 23y = 0 or just y =0.
Now we can find x by plugging in y.
-4x + 0 = -16.
Divide by -4 on both sides -> x = 4.
If you want to double check you can plug your values into -4x + 20y = -16.
-4(4) +20(0) = -16.
if the probability that a tourist will be bitten by a rattlesnake is 0.00002, what is the probability that among 75,000 tourists visiting the grand canyon at least 2 will be bitten by a rattlesnake?
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data? please help.
Answer:
the first and fourth quadrants
Step-by-step explanation:
We have that the time found hours is given on the x-axis and that the temperature is represented on the y-axis.
Let's first analyze time:
Time cannot be negative, therefore, the x coordinate cannot be negative therefore, for the x axis, we can use the first and fourth quadrants
Second let's analyze the temperature:
The temperature can be negative, therefore, the coordinate and can be positive or negative therefore, that for the y axis, we can use all four quadrants.
If we combine the two previous conditions, we can deduce that we can only use the first and fourth quadrants to represent the required data.
A combination lock like the one shown has three dials. Each of the dials has numbers ranging from 0 to 4. How many different combinations are possible with the lock?
If combination requires 3 numbers ranging from 0 to 4 then number of combinations is 10.
Given A combination lock contains three numbers from 0 to 4.
Combinations refers to a technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Total numbers available to be selected are 5 from 0 to 4.
In this 0 is also included because it is also a number.
Numbers to be filled in the combination lock =3
So to calculate the combinations we need to use nCr formula in which n=5 and r=3.
Combinations=5C3
=5!/3!*(5-3)!
=5!/3!*2!
=5*4*3!/3!*2!
3! will be cancelled from numerator and denominator
=5*4/2
=10
Hence the number of possible combinations are 10.
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Mrs Patel drives to work each day. Sometimes she must stop at a set of traffic lights.
In the past 50 working days she has stopped at this set of traffic lights 32 times.
a: Find the experimental probability that Mrs Patel will have to stop at this set of lights tomorrow.
b: Find the experimental probability that she will not have to stop at the lights next Wednesday
Answer:
a: The experimental probability that Mrs Patel will have to stop at this set of lights tomorrow is 32/50 = 0.64.
b: The experimental probability that she will not have to stop at the lights next Wednesday is 1 - 0.64 = 0.36.
Step-by-step explanation:
The probabilities of an event occurring based on the outcomes of an experiment is known as the experimental probability.
The experiment in this scenario involves Mrs. Patel driving herself to work every day. She stopped 32 times at this set of traffic signals during the course of the experiment's 50 working days. The experimental likelihood that she will have to stop at this set of lights tomorrow is 0.64 based on these findings.
The experimental probability is usually more accurate than the theoretical probability because it is based on actual data. However, the experimental probability can be affected by chance.
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2(3w-5y) expanded
please
The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.
In general terms:
m(n + p) = mn + mp
In this exercise:
Let's apply the distributive property:
\(\mathsf{2(3w - 5y)}\)
\(= \mathsf{2(3w) - 2(5y)}\)
\(= \boxed{\mathsf{6w - 10y}}\)
Answer: 6w - 10y