Answer:
First, let's find the equations for our lines:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
f(x) passes through (5,0) and (10, 10), then the slope is:
a = (10 - 0)/(10 - 5) = 10/5 = 2.
then we have:
y = 2*x + b
And when x = 5, we have y = 0.
0 = 2*5 + b
0 = 10 + b
b = -10
Then the equation for f(x) is:
y = f(x) = 2*x - 10.
Now for g(x) we have the points:
(3, 0) and (2, 10)
a = (10 - 0)/(2 - 3) = -10
y = -10*x + b
0 = -10*3 + b
b = 30.
y = g(x) = -10*x + 30.
A) Ok, the transformations:
Transformation 1 or T1.
f(x) = 2*x - 10
g(x) = -10*x + 30.
Then, we start with f(x):
First, we can move f(x) up 4 units and get:
f'(x) = 2*X - 6
Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:
f''(x) = -5*f'(x) = -10*x + 30.
And this is g(x).
Transformation 2 or T2.
Move f(x) up 10 units, so now we have:
f'(x) = 2*x
Do a reflection over the x-axis, so the sign of y changes, and now we get:
f''(x) = -2*x
Do a dilation of scale factor 5
f'''(x) = 5*-2*x = -10*x
Now do a vertical translation of 30 units up.
f''''(x) = -10*x + 30 = g(x).
These are two transformations that start with f(x) and end with g(x).
B) Ok, as i was writting the transformations i already solved them, so this part is already done.
C) the equation for the transformations are:
T1) g(x) = -5*(f(x) + 4)
T2) g(x) = -(f(x) + 10)*5 + 30
Help me fast please !!!!!!!!!!!!!!!!!!!!
Answer:
(2x100,000)(7x10,000)(9x100)(5x10)
Step-by-step explanation:
Answer:
(2 x 100,000) + (7 x 10,000) + (9 x 100) + (5 x 10)
-100:2463-3+1
62 + (-3)3-23
Answer:
Try this but I am not 100% sure:
246173
Step-by-step explanation:
pls answer this question
Answer:
firstly covert it like 7 1/4
= 4x7+1 = 29 so 29/4
Step-by-step explanation:
and then find difference by making denominators same
Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
Answer:
4p – 7 = 13
Step-by-step explanation:
On Wednesday, a local hamburger shop sold a combined total of 360 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
120
Step-by-step explanation:
360 combined, 2/3 is cheese, so 1/3 is hamburger, 1/3 of 360 is 120.
Solve for Y. Y/11.2=7
Answer:
y=78.4
Step-by-step explanation:
78.4/11.2 is 7
Find the mode:2,4,6,8,4,2,2,4,6,6,4
Answer:
4
Step-by-step explanation:
Mode is the number used most often in a data set. Four shows up the most here. If there are two numbers that occur the same amount of times, they are both the mode etc.
write 5.3 x 10^-9 in standard notation please!!
Answer:
0.53 x 10^ -8
Step-by-step explanation:
Just move the decimal over to the right and add 1 to the exponent.
the rectangle below has a total perimeter of 125cm:
write an equation and solve it to find the length of the longer side of the rectangle
Damario invite friends over for a special dinner. For drinks, he made 32 gallons of lemonade. Each gallon had 16 cups. Each of Damario's 18 friends drank 9 cups of lemonade. How many cups of lemonade does Damario have left?
Explain why the function is differentiable at the given point.
f(x, y) = 5 + x ln(xy − 9), (5, 2)
Step-by-step explanation:
Given the function
f(x, y) = 5 + x ln(xy − 9) at the point (5, 2)
For the function to be differentiable at the given point, the differential of the function with respect to x and y must be continuous at the point.
Fx is the differential of the function with respect to x.
Using product rule to get f(x):
fx = 0 + x(1/(xy-9)y) + ln(xy-9)
fx = xy(1/(xy-9)) + ln(xy-9)
Substitute point (5, 2) into fx
fx = 5(2)(1/5(2)-9) + ln(5(2)-9)
fx = 10(1/(10-9)) + ln(10-9)
fx = 10(1/1) + ln1
fx = 10 + 0
fx = 10
For fy:
fy = 0 + x²(1/(xy-9))+ 0
fy = x²(1/(xy-9))
Substitute point (5, 2) into fy
fy = 5²(1/(5(2)-9))
fy = 25(1/10-9)
fy = 25(1/1)
fy = 25
Next is to calculate f(5,2)
f(5,2) = 5 + 5 ln(2(5) − 9)
f(5,2) = 5 + 5 ln(10− 9)
f(5,2) = 5 + 5 ln1
f(5,2) = 5 + 5(0)
f(5,2) = 5
Since fx ≠ fy, hence the function is not differentiable at the given point
PLS I REALLY NEED HELP! what is the range of graph!
Is the height of these students a function of their wrist circumference
Answer:
c
Step-by-step explanation:
Answer:
C. No because the height of 151 cm is paired with two wrist circumferences.
Step-by-step explanation:
Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 along with an interest of $243. What was the annual interest rate? Round your answer to one decimal place
Answer: 1.8%
Step-by-step explanation:
The annual interest rate is 1.8% if Moira borrowed $4,500 from her grandfather to pay for her first year of college.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given that:
Moira borrowed $4,500 from her grandfather to pay for her first year of college.
Three years later, she repaid the $4,500 along with an interest of $243.
Using the formula:
I = Prt
P = $4500
I = $243
t = 3
243 = 4500(r)(3)
243 = 13500r
r = 0.018
r = 1.8%
Thus, the annual interest rate is 1.8% if Moira borrowed $4,500 from her grandfather to pay for her first year of college.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ2
You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $7 per guest and averaged 345 guests per night. The next week you charged $10 per guest and averaged 300 guests per night.
(a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p. q(p) =
(b) Find the nightly revenue R as a function of the cover charge p. R(p) =
(c) The club will provide two free non-alcoholic drinks for each guest, costing the club $2 per head. In addition, the nightly overheads (rent, salaries, dancers, DJ, etc.) amount to $2,000. Find the cost C as a function of the cover charge p. C(p) =
(d) Now find the profit in terms of the cover charge p. P(p) = Determine the entrance fee you should charge for a maximum profit. p = $ per guest
(a) The number of guest per night=p,
and the cover charge for one night per person=q.
Let the liner demand equation be [tex]q(p)=mp+c\cdots(i)[/tex],
where m and c are constants.
Given that for the first week: q=345 and p=$7 and
for the second night: q=300 and p=$10.
Put these values in equation (i), we have
345=7m+c
[tex]\Rigntarrow c=345-7m\cdots(ii)[/tex]
and
300=10m+c
[tex]\Rightarrow 300=10m+(345-7m)[/tex] [from equation (ii)]
[tex]\Rightarrow 3m=-45[/tex]
[tex]\Rightarrow m=-15[/tex]
and from equation (ii),
[tex]c=345-7\times(-15)=450[/tex].
Hence, the required demand equation is:
[tex]q(p)=-15p+450\cdots(iii)[/tex]
(b) Revenue = (Number of guests) x (Cover charge)
R=qp
[tex]\Rightarrow R(p)=(-15p+450)p[/tex] [from equation (iii)]
[tex]\Rightarrow R(p)=-15p^2+450p\;\cdots(iv)[/tex]
(c) The costs per night for drinks for the number of guest p is $2p and the nightly overheads is $2000.
So, the required cost function is
[tex]C(p)=2p+2000\;\cdots(v)[/tex]
(d) Profit=(Revenue)-(Total costs)
i.e [tex]P(p)=R(p)-C(p)[/tex]
Using equations (iv) and (v), we have
[tex]\Rightarrow P(p)=(-15p^2+450p)-(2p+2000)[/tex]
[tex]\Rightarrow P(p)=-15p^2+448p-2000.[/tex]
Now we have the profit function as function of cover charge (entry fee) per person.
So, to get the maximum profit, P, differentiate the profit function with respect to the cover charge, q and equate it to zero to get the eqtremum point.
[tex]\frac {dP}{dq}=0[/tex]
[tex]\Rightarrow -30p+448=0[/tex]
[tex]\Rightarrow p=14.93[/tex]
This point is either maxima or minima, so differentiate the profit function twice to to ensure the value of p corrosponding to what.
[tex]\frac {d^2P}{dq^2}=-30[/tex]
This the second deravitive is negative, so p=14.93 is the value for maximum profit.
Hence, for the maximum profit, the cover charge per guest is $14.93.
Hello someone plz help for brainliest
Answer:
-√4. is ur ans babes ok
and h r u
Find the cube root three into 125a6
Answer:
✅ 5a²⬇ Down Below is from Edge 2020 ⬇
Please help, I would appreciate it
Answer:
-5x + 8y = -21
3x - 4y = 15
8y = 5x - 21
y = 5/8x - 21/8
3x - 4y = 15
-4y = -3x + 15
y = 3/4x - 15/4
5/8x - 21/8 = 3/4x - 15/4
-1/8x = -9/8x
x = 9
3x - 4y = 15
3(9) - 4y = 15
27 - 4y = 15
-4y = -12
y = 3
(9, 3)
Answer:
(9, 3)
Step-by-step explanation:
My favorite way to solve equations like this is using a graphing calculator. For Desmos, one only needs to type the equations into the input column, click on one of them, and highlight the point of intersection to see the coordinates there.
__
The usual ways to solve these are by substitution or elimination. Another way they can be solved is using Cramer's rule, which provides a formula for the solution based on the coefficients.
ax +by = c
dx +ey = g
__
x = (bg -ec)/(bd -ea) . . . . . . note the crossing pattern of the values in the products
y = (cd -ga)/(bd -ea) . . . . . . the denominator is the same as above
__
Using these formulas, we get ...
x = (8(15) -(-4)(-21))/(8(3) -(-4)(-5)) = (120 -84)/(24 -20) = 36/4 = 9
y = (-21(3) -15(-5))/4 = (-63 +75)/4 = 12/4 = 3
The solution is (x, y) = (9, 3).
Doing the same by elimination involves the same amount of math and a lot more writing.
Caculate the unit rate. $2.40 for 5 apples. What
is the cost per apple?
Answer:
$0.48
Step-by-step explanation:
2.40/5 = 0.48
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Mark this and return
Answer:Side C H
Step-by-step explanation:
Ans
C
Step-by-step explanation:
took the test made 100
△ PQR has vertices P(-2, 7), Q(3, 5), and R(-6, -1).Which of the following best represents a reflection of △ PQR across the x-axis to become △ P’Q’R’?
Answer: The △PQR is reflected across the y-axis and option 2 is correct.
Step-by-step explanation:1. The reflection across the x-axis is defined as
2. The reflection across the y-axis is defined as
3. The reflection across the y=x is defined as
4. The reflection across the y=-x is defined as
It is given that the vertices of △PQR are P(1,1) , Q(−1,−2) , and R(4,−2) . The vertices of △P′Q′R′ are P′(−1,1) , Q′(1,−2) , and R′(−4,−2) .
The relation between prerimage and image is defined as
Therefore the △PQR is reflected across the y-axis and option 2 is correct.
Which value would make the statement true?
Answer:
4
Step-by-step explanation:
cause 2/4=1/2 which is greater than 4/12
Answer:
4
Step-by-step explanation:
Because if you plug in four then you reduce both 1/2 is greater then 1/4.
Simplify (2^3)^–2.
A: -1/64
B: 1/64
C: 2
D: 64
what is the integration of ∫e²ⁿdx please answer as fast as possible.
Answer:
[tex]e^{2n}x + C[/tex] (since n is assumed to be a constant when integrating with respect to x)
Step-by-step explanation:
You are integrating with respect to x, but [tex]e^{2n}[/tex] has no x-terms. Thus, it is considered a constant. The integral of any constant is equal to the constant multiplied by x.
Example: the integral of 2 is 2x, since the derivative of 2x is 2.
[tex]\int {e^{2n}} \, dx = e^{2n}x + C[/tex]
If you were integrating [tex]e^{2x}[/tex] with respect to x, it would look like this:
Since...
[tex]\frac{d}{dx} (e^{ax}) = ae^{ax}[/tex]
The integral of [tex]e^{ax}[/tex] is:
[tex]\int{e^{ax}} \, dx = \frac{e^{ax}}{a} + C[/tex]
[tex]\int {e^{2x}} \, dx = \frac{e^{2x}}{2} + C[/tex]
Note: C is a constant. It can be any number.
Answer: [tex]e^{2n}x + C[/tex] (since n is assumed to be a constant)
two water tanks release at the same time water tank a holds 6000 gallons of water and water is released from the fish tank at a rate of 2 gallons per minute water tank behold 8250 gallons of water and water is released at the rate of 3 gallons per minute after how many minutes will the Two Gallants hold the same amount of water
After t minutes, Tank A contains
6000 gal - (2 gal/min) t
while Tank B contains
8250 gal - (3 gal/min) t
The two tanks hold the same amount of water when these quantities are equal. Solve for t :
6000 gal - (2 gal/min) t = 8250 gal - (3 gal/min) t
(1 gal/min) t = 2250 gal
t = (2250 gal) / (1 gal/min) = 2250 min
Simplify 5x-2>19-2x
3x-5<5x-3
Given expressions:
5x -2 > 19 - 2x
3x -5 < 5x - 3
Simplifying;
a. 5x -2 > 19 - 2x ;
Collect like terms;
5x + 2x > 19 + 2
7x > 21
Divide both sides by 7 to give;
x > 3
Not if we divided by a negative value, the sign of the inequality changes.
b. 3x -5 < 5x - 3
Collect like terms;
3x - 5x < -3 + 5
-2x < 2
Divide both sides by (-2), note, the sign of the inequality changes;
x > -1
Which are correct representations of the inequality -3(2x - 5) <5(2-x)? Select two options.
Ox<5
0 6x-5< 10-X
0-6x + 15 < 10-5x
+
-3
-2 -1 0
1
2
3
+
4
5 6 7
-7
-6
-5
-4
-3
-2
+
-1 0
+
3
1
2
Answer: -6x + 15 < 10-5x and the numberline with the 5---->
Step-by-step explanation:
Solving -3(2x-5) < 5(2-x)
Distribute the -3 to the 2x giving you -6x and -3 to the -5 giving you 15.
Distribute 5 to 2 giving you 10 and 5 to -x ginving you -5x.
Then just solve -6x+15 < 10-5x
+6x +6x
10+x > 15
-10 -10
x>5
The numberline with the postive 5 is the correct answer.
Answer: c d
Step-by-step explanation:
Assume a tax rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. No one will reach the maximum for FICA. Complete the following payroll register. (Use the percentage method to calculate FIT for this weekly period.)
Answer:
Claimed 4 allowances at a rate of $76.90 per allowance for weekly payroll.
Taxable income is therefore;
= 3,500 - (76.90 * 4 )
= $3,192.40
Federal Income Tax (FIT).
With taxable income of $3,192.40, Pat falls into the $3,073 to $4,597 bracket where tax is $565.15 plus 28% of anything above $3,073. Status is married.
= 565.15 + (28% * (3,192.40 - 3,073))
= 565.15 + 33.43
= $598.58
Social Security
= Gross pay * 6.2%
= 3,500 * 6.2%
= $217
Medicare
= 3,500 * 1.45%
= $50.75
Net Pay
= 3,500 - 598.58 - 217 - 50.75
= $2,633.67
Every time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don’t reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don’t reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false.
Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when the passenger has no weapon, and (4) you allow the passenger to board her flight when the passenger has no weapon.
1. Which of the following outcomes corresponds to a Type I error?A. You allow the passenger to board his flight when the passenger has a weapon.B. You select the passenger for further inspection when the passenger has no weapon.C. You allow the passenger to board his flight when the passenger has no weapon.D. You select the passenger for further inspection when the passenger has a weapon.2. Which of the following outcomes corresponds to a Type II error?A. You allow the passenger to board his flight when the passenger has no weapon.B. You select the passenger for further inspection when the passenger has no weapon.C. You select the passenger for further inspection when the passenger has a weapon.D. You allow the passenger to board his flight when the passenger has a weapon.As a security screener, the worst error you can make is to allow the passenger to board his flight when the passenger has a weapon. The probability that you make this error, in our hypothesis testing analogy, is described by _____.
Answer:
1. A. You allow the passenger to board his flight when the passenger has a weapon.
2. B. You select the passenger for further inspection when the passenger has no weapon.
Explanation:
1. Remember, a Type I error in simple words means that the assumption "the passenger has a weapon" (null hypothesis) is actually true, but the airport security screener incorrectly concluded it is false. In other words, he assumed the passenger had no weapon and allowed the passenger to board his flight when he actually did have one.
2. While, a Type II error means that the assumption "the passenger has a weapon" (null hypothesis) is actually false, but the airport security screener incorrectly concluded it is true. In other words, he assumed the passenger had a weapon and selected the passenger for further inspection when he actually didn't have one.
What is the  length of A rectangle  with width 15 and an area of 90 in ^2