9514 1404 393
Answer:
smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8
largest: 1x -9 = 8; 2y +3 = 7. total = 19
Step-by-step explanation:
If we use variables to represent the box contents, we can write ...
ax -b = cdy +e = fThen the values of x and y are ...
x = (c +b)/a
y = (f -e)/d
For positive integer values of the variables, x will always be positive, and y may or may not be negative.
Smallest sumFor the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.
x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for
8x -3 = 4 ⇒ x = 7/81y +9 = 2 ⇒ y = -7For these coefficients, the sum is -6 1/8 = -49/8.
(note that the values of 'b' and 'c' can be swapped with no net effect)
Largest sumFor the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for
1x -9 = 8 ⇒ x = 172y +3 = 7 ⇒ y = 2For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.
_____
Additional comment
These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.
Answer:
Smallest: 8x-3=4; 1y+9=2. total= -49/8
Largest: 1x-9=8; 2y+3= 7. total= 19
Step-by-step explanation:
#CARRYONLEARNINGWhich is an asymptotic of the graph of the function y=cot [x- 2pi/3]
Answer:
B
Step-by-step explanation:
The asymptote of the function [tex]y = cot(x - \frac{2\pi}{3})[/tex] is at x = - π/3.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
We know, tan = sin/cos.
Hence 1/tan = cos/sin = cot.
So, The denominator sin can not be zero, And sin is zero on π and - π.
Given, A function [tex]y = cot(x - \frac{2\pi}{3})[/tex].
At, x = - π/3.
Therefore, [tex]y = cot(\frac{\pi}{3} - \frac{2\pi}{3})[/tex].
[tex]y = cot(-\pi)[/tex], Which is undefined.
learn more about asymptotes here :
https://brainly.com/question/17767511
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PLEASE HELP i dont know the answer for: Chose an equivalent ratio 15 cats to 20 dogs. choices: A. 4 to 5. B. 3 to 4. C. 3 to 5. D. 10 to 15.
Answer:
D 10 to 15 is the answer correct
I need help with this with work asap thank you
Answer:
multiply all sides (5.5 x 6 x 8.5) which results to 261.5 ft squared
The area of A PQR is 15 m², and p = 5 m, q = 10 m.
Find the possible measure of angle R (in degrees)
Which of the following are the domain and range that represent the inverse of the function f(x), given the mapping diagram of f(x) below? 1 AWN O 2. 4 6 8
Answer:b
Step-by-step explanation:
- 12. What is the greatest common factor of 120 and 84?
e.
a. 3
b. 6
12
18
d.
Answer:
12 (the third one is the greatest common factor of 120 and 84)
Answer:
12
Step-by-step explanation:
factors of 120. 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,80,120
factors of 84: 1,2,3, 4,6,7,12,14,28,42,84
greatest common factor=12
HIGHSCHOOL GEOMETRY
LAWS OF COS/SIN
please help
it also says that it is acute, and I dont know how to factor that into my answer
Answer:
B = 75°
Step-by-step explanation:
Using the Sine rule:
a / sin A = b / sin B = c / Sin C
a / sin A = b / sin B
20 / sin 48 = 26 / sin B
Cross multiply :
Sin B * 20 = sin 48 * 26
Sin B = (sin 48 * 26) / 20
Sin B = 0.9660882
B = sin^-1(0.9660882)
B = 75.036
B = 75°
Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. The local Tupperware dealers earned these commissions last month: $1077.28, $2661.13, $4642.11, $4264.15, $1019.55, $3444.20, $2525.92, $3740.26, $3533.07, $1633.84 What was the mean commission earned? Round your answer to the nearest cent.
Answer:
the mean commission earned is 2854.15
Step-by-step explanation:
The computation of the mean commission earned is shown below'
The mean is
= ($1077.28 + $2661.13 + $4642.11 + $4264.15 + $1019.55 + $3444.20 + $2525.92 + $3740.26 + $3533.07 + $1633.84) ÷ 10
= 2854.15
Hence, the mean commission earned is 2854.15
The same should be considered and relevant
Find Z for the following sequence:
210, 209, 213, 186, 202, Z
Answer:
77
Step-by-step explanation:
as far as I can tell the steps between the given numbers are
-1
+4
-27
+16
1 can be expressed as 1³
4 can be expressed as 2²
27 can be expressed as 3³
16 can be expressed as 4²
my best guess is that next one is minus 5³ = -125
edit: technically the given steps can be expressed as
(-1)³
(-2)²
(-3)³
(-4)²
somewhat nicer pattern there
accounting equation is what
Sarah can do 68 push ups in 4 minutes . At this rate how many push ups can she do each minute?
Answer:
Sarah can do 17 push-ups each minute.
Step-by-step explanation:
4 minutes = 68 push ups
68 divided by 4 = 17 push ups
1 minute = 17 push ups
- Leona Bahr is paid a commission of 12% on all sales above $7,000 for the week. She is also paid a weekly salary of $380. What are her total earnings for a week in which her sales were $9,800?
Answer:
716
Step-by-step explanation:
9800-7000=2800 sales over 7000
2800 x .12=336 commission
380 (salary) + 336 (commission)=716 Total earnings
Quadratic
4x2+8x+27=88
Answer:
Step-by-step explanation:
Answer:
4x²+8x+27=88
[tex]x = \frac{2 - \sqrt{65} }{2} \\ x = \frac{2 + \sqrt{65} }{2} \\ [/tex]
x= 3.03 , –5.03
Joan can mow a 7- acre field in 5 hours. How long would it take her to mow a 5.6- acre field?
Answer:4 hours
Step-by-step explanation:
7 divided by 5= 1.4
1.4x4=5.6
11x+x^2= 2y
Y + x = 19
Answer:
x = -15,46 thì y ≈ 34,46
x = 2,46 thì y ≈ 16,54
Step-by-step explanation:
x + y = 19 => x = 19 - y (1)
thay x = 19 -y vào phương trình 11x + x^2 = 2y ta có:
11 * (19 - y) + (19 - y)^2 =2y
=> 209 - 11y + 361 - 38y + y^2 = 2y
=> y^2 - 51y + 570 = 0
=> y ≈ 34,46 và y≈16,54
thay y ≈ 34,46 vào phương trình (1) có:
x = 19 - 34,46 = -15,46
thay y ≈ 16,54 vào phương trình (1) có:
x = 19 - 16,54 = 2,46
Answer:
Step-by-step explanation:
11x+x^2= 2y
Y + x = 19
Multiply and re-arrange second equation:
2y = 38 - 2x
Substitute into first equation:
11x + x^2 = 38 - 2x
Re-arrange:
x^2 + 13x - 38 = 0
Solve using quadratic formula:
x = (-13+(13^2-4*(-38))^(1/2))/2 or (-13-(13^2-4*(-38))^(1/2))/2
x = 2.46 or -15.46
Substitute back to solve for y:
y = 19 - 2.46 or 19 + 15..46
y= 16.54 or 34.46
Can someone help me? Question attached, 20 points.
Answer:
6
Step-by-step explanation:
[tex]V = A * b = 5A[/tex]
[tex]5A = 141.3[/tex]
[tex]A = 28.26[/tex]
[tex]\pi r^2 = 28.26[/tex]
[tex]3.14 r^2 = 28.26[/tex]
[tex]r^2 = 9[/tex]
[tex]r = 3[/tex]
[tex]D = 2r = 2 * 3 = 6[/tex]
What is the value of ?
Answer:
x=3
Step-by-step explanation:
Log base 5 of 125=x
that is equal to 5x5x5 which is 125
5 is multiplied 3 times so x is 3
Which of the following is a point-slope equation of a line that passes through
the points (10,5) and (4, - 7)?
O A. y-10 - -2(x-5)
B. y-5 = 2(x-10)
O C. y-10 - 2(x - 5)
O D. y-5--2(x-10)
Answer:
Step-by-step explanation:
In order to write the equation of the line in point-slope form that goes through those points, we need to know the slope of that line. Therefore,
[tex]m=\frac{-7-5}{4-10}=\frac{-12}{-6}=2[/tex] So the slope is 2. Now we'll pick a point and use it to write an equation in point-slope form. I'll use the first point given to see if that's the one used in any of the answers : (10, 5)
y - 5 = 2(x - 10). That's choice B. Let's see, just in case there are 2 answers to this, what the equation would be using the other point (4, -7):
y - (-7) = 2(x - 4) and simplified:
y + 7 = 2(x - 4) is the other equation. Since that's not a choice, the only answer is B
Help me...!
!!
!!
!!
!!
The answer to this question is:
2 ¾ inches.
{3/4 x (3/3/4 ÷ 5/16)} -3/1/3
Which of the following is geometric sequence
A. 1,1/2,1/4,1/8
B.2,4,6,8
C.1,1,2,3,5
D.7,4,1,-2
Answer:
A
Step-by-step explanation:
...................
Answer:
here's the whole unit test
Step-by-step explanation:
ur welcomeeeee ;)
Solve for x. Round to the nearest tenth, if necessary. C С B x 25 34° А
Help with this problem please.
Answer:
59 or I’m wrong
Step-by-step explanation:
Answer:
x=20.7
Step-by-step explanation:
using cosine...
cos 34=adjacent/hypotenuse
cos 34=x/25
Cross multiply
x=cos 34 ×25
x=20.72593931
x≈20.7(to the nearest tenth)
Someone tell me what the answer
Answer:
can you please put a better picture?
help please i need it
9514 1404 393
Answer:
the shape is a trapezoiduse the area formula48783 mm²Step-by-step explanation:
The top and bottom edges are parallel, and the shape has 4 sides. That means it is a trapezoid. The area can be found using the formula for the area of a trapezoid:
A = 1/2(b1 +b2)h
A = 1/2(85 mm + 218 mm)(322 mm) = 1/2(303)(322) mm² = 48783 mm²
A.3 1/4
B.1 3/4
C.2 1/4
D.3/3
Answer:
A. 3 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Can anyone solve this?
Answer:
They are congruent
Step-by-step explanation:
The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.
solve
(3431)−2/3÷(491)3/2
a. 16807
b.343
c.49
d.2401
Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of minutes student spend moving from class to class?
Answer:
10/120
Step-by-step explanation:
Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
4
4 - 6x
A. 8+226x
16 - 6x
B. 8+ 2162
846
C.
2 + V6
4- 6x
D. 8. 216
8 - 3x
UN
1. 8^3 * 8^2, 8^5, and (2^3)^5
2. 6^9, and 6^5 x 6^4
Answer:
8+2√6x / 8-3x
Step-by-step explanation:
yes
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport. What angle of depression does the airplane need to use to reach the runway?
Given :
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.
To Find :
What angle of depression does the airplane need to use to reach the runway?
Solution :
Let, angle of depression is [tex]\theta[/tex] .
So,
[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]
Hence, this is the required solution.