If y = xy + x² + 1, then when x=-1,
dy/dx = -1/2
What is Derivatives?The rate of change of a function with respect to a variable are called Derivatives.
Given that, y = xy + x² + 1
Put x = -1 we get,
y = -1y + (-1)² + 1
y = -y + 1 + 1
y = 1
Now Differentiating the given equation w.r.t x
dy/dx = xdy/dx + y + 2x
dy/dx - xdy/dx = y + 2x
dy/dx (1 - x) = y + 2x
dy/dx = (y + 2x)/(1 - x)
Put x = -1 and y = 1 we get
dy/dx = (1 + 2(-1))/(1 - (-1))
dy/dx = -1/2
Hence, y = xy + x² + 1, then when x=-1,
dy/dx = -1/2
For more references on Derivatives, click;
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Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned for different numbers of hours of work:
Collins' Earnings from Dog Walking
Number of Hours Worked Money Earned (dollars)
5 30
6 36
8
66
Part A: What are the missing numbers in the table? Show your work. (4 points)
Part B: Collins also does part-time yard work. The ratio of the number of hours Collins works to the money he earns in dollars is 1:7. Create a table to show the money earned by Collins for 5, 6, and 8 hours of doing yard work. (3 points)
Part C: How many more dollars does Collins earn doing yard work for 5 hours than working as a dog walker for 5 hours? Show your work. (3 points)
((No website links please I'm giving 15 points))
Answer:
Step-by-step explanation:
Part A:
For Dog walking, he earns $30 for 5 hours of work.
He earns $36 for 6 hours of work.
$30/5 hours = $6/hour
$36/6 hours = $6/hour
He earns $6/hour dog walking.
For 8 hours, he earns 8 hours * $6/hour = $48
To earn $66, he works 66/6 = 11 hours.
5 30
6 36
8 48
11 66
Part B:
He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.
Table for yard work
Hours Money
5 $35
6 $42
8 $56
Part C:
For 5 hours, he earns $35 for yard work and $30 as a dog walker.
$35 - $30 = $5
Find the selling price of a $170 concert ticket with a 55% markup.
Round to the nearest cent when necessary.
Answer:
$263.50
Step-by-step explanation:
The average temperature is 62°F on Monday and 58 F on Tuesday. If the average temperature from Monday through Wednesday is at least 64°F, what is the lowest possible average temperature on Wednesday, in degrees Fahrenheit?
Using the mean concept, it is found that the lowest possible average temperature on Wednesday, in degrees Fahrenheit, is of 72.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, there are 3 observations, given by: 62, 58 and x.
The mean is of at least 64, hence:
[tex]\frac{62 + 58 + x}{3} \geq 64[/tex]
[tex]120 + x \geq 192[/tex]
[tex]x \geq 72[/tex]
The lowest possible average temperature on Wednesday, in degrees Fahrenheit, is of 72.
More can be learned about the mean concept at https://brainly.com/question/24628525
In Ms. Enderson's class there are 14 boys and 12 girls. What percent of girls are in the class?
Answer:
46.15%
Step-by-step explanation:
# of girls + # of boys = total # of students
12+14=26
# of girls / total # of students = percentage of girls in the class
12÷26=0.461538
Move the decimal place over two spots or multiply by 100 for the percent
46.1538%
Round up if needed, in this case I rounded up to the hundredths place.
Para determinar las ganancias en colones, por concepto de entradas a un museo se usa la fórmula 3000x + 1500y + 1500z, en la x corresponde a la cantidad de adultos que ingresan;y, a la de los niños, y z, a la de los adultos mayores. ¿Cuál fue la ganancia del museo durante un fin de semana si ingresaron 38 adultos, 56 niños y 15 adultos mayores?
PORFA AYUDENMEN!
Please help with this math problem ASAP! I will give brainliest!
Part A
Refer to the diagram below. Specifically, refer to figure 1.
Point P is added to form a right triangle.
J is at (-7,2) and P is at (11,2). Segment JP is 18 units long.
We split segment JP into 4 equal pieces to get 18/4 = 4.5; this result is added onto the x coordinate of J to get -7+4.5 = -2.5 which is the x coordinate of point Q. So Q is at (-2.5, 2)
The value -2.5 is the x coordinate of point S as well.
Notice how the ratio JQ:QP is equal to 1:3.
----------
The distance from P to H is 6 units, which divided into four pieces means 6/4 = 1.5 is added onto the y coordinate of P to get 2+1.5 = 3.5; this is the y coordinate of points R and S as the diagram indicates. Like in the previous section, the ratio PR:RH is equal to 1:3
So ultimately point S is located at (-2.5, 3.5)
If we used the distance formula to compute the lengths of segments JS and SH, then we should find that they are in the ratio 1:3. In other words, segment SH is 3 times longer compared to segment JS. This would help confirm the answer. I'll let you do this confirmation part.
Answer: (-2.5, 3.5)============================================================
Part B
Refer to figure 2 this time.
We'll have a similar thing going on here as done in part A, though the points Q and R are in different locations.
To find where Q must be, we take 5/6 of the distance from J to P (which we found was 18 units). So (5/6)*18 = 15. This 15 is added onto the x coordinate of J to get -7+15 = 8. This is the x coordinate of point Q and point T.
Similarly, (5/6)*(length of segment PH) = (5/6)*6 = 5 is added onto the y coordinate of P to form the point R(11,7). The y coordinate of this helps form the y coordinate of the point T.
In short, point T is located at (8,7)
You should find that JS/SH is equal to 5/6 when you apply the distance formula to compute the lengths of JS and SH. I'll let you do this confirmation.
Answer: (8,7)How many medians a triangle can have?
Answer:
3
Step-by-step explanation:
find the difference of (k+3)-(3k-5)
Step-by-step explanation:
(k + 3) - (3k - 5) = k + 3 - 3k + 5 [expand the brack and simplify like terms]
= -2k + 8
SOMEONE PLEASE HELP ME FIND Y ASAP I REALLY NEED HELP
Answer:
Answer is in the picture. hope it helps.
Answer:
Step-by-step explanation:
*the x is substitued by the given number
*you don't need to put it next to "x"
for example, you put y=1/3x(-9)+2
but it is y=1/3(-9)+2
and the answer is -1
I hope my explanation can help you
1. -1
2. 1
3. 2
4. 4
5. 6
7. 9
La división de un segmento de recta en n partes tiene un caso especial que es cuando el segmento se divide en dos partes iguales. En este caso se dice que el punto que divide al segmento en dos partes iguales, corresponde al punto medio del segmento de recta AB. Deduce las ecuaciones para k, xr y yr para este caso especial.
Answer: Creo que es correcto
Step-by-step explanation: Porque si realmente lo piensas, probablemente lo entenderías, así que sí, y espero haberte ayudado.
Find the measure of each angle indicated
Answer:
67°
Step-by-step explanation:
1. The final angle in the top triangle is : 70
The angles in a triangle add up to 180° so 74 + 36 = 110 and 180 - 110 = 70
2. Vertically opposite angles are equal so the angle opposite the one we just found is 70° as well
3. The angles in a triangle add up to 180° so 70 + 43 = 113 and 180 - 110 = 67
Therefore, ? = 67°
mathematics of inequality
Answer:
(-3x²+5x-2)-2(x²-2x-1)
-3x²+5x-2-2x²+2x+2
-5x²+7x
b = 7
Answer:
(-3x²+5x-2)-2(x²-2x-1)
-3x²+5x-2-2x²+2x+2
-5x²+7x
b = 7
Step-by-step explanation:
Find the value of X. Show your work
Answer:
x = 15; I hope this is right
24 divided by 16 = 1.5
10 times 1.5 = 15
the answer plz and thanks
Answer:
60
Step-by-step explanation:
f(6) = 60
In a class full of men and women, 2/9 of the class are women
What is the ratio of men to women in its simplest form?
Step-by-step explanation:
9/9 (total no. of students) - 2/9 (women)
=7/9 (male)
= 7:9
Can someone help me with this Khan Academy? I have a picture attached below.
Answer:
B, g(n) = 50*1.15^n
Step-by-step explanation:
It's a geometric sequence because the money is increasing by a percentage every year.
100, 98, 94, 88, … what are the next three numbers in this pattern?
80,70,58 I think let me know if it is wrong
If f(a) = 3a – a2, which of the following are not true statements?
Select all that apply.
f(4) = -4
f(3) = 0
f(-1) = 2
f(0) = 3
f(-5) = -40
Answer:
f(-1) = 2
f(0) = 3
Step-by-step explanation:
f(a) = 3a - a²
f(4)= 3*4-4²= -4 ⇒ correct
f(3)= 3*3-3²= 0 ⇒ correct
f(-1) = 3*(-1)-(-1)²=-3+1= -2 ⇒ incorrect
f(0) = 3*0-0²= 0 ⇒ incorrect
f(-5) = 3*(-5)-(-5)²= -15-25= -40 ⇒ correct
Please help, 5 stars will be given
Answer:
x. /. Y.
0. /. 1.
1. /. 3.
2. /. 5.
3. /. 7.
Step-by-step explanation:
Help me pleaseeeeeeeeeeeeeeee
PLS HELP Which value makes the equation 20−3x=5 true?
12
0
6
5
Answer:
hope this helps :)
Step-by-step explanation:
20−3x=5
Subtract 20 from both sides.
20-3x-20=5-20
⇒-3x=-15
divide both sides by 3
⇒-3x/-3=-15/-3
⇒x=5
Answer:
[tex] \sf \: d) \: x = 5[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 20 - 3x = 5
Then the value of x will be,
→ 20 - 3x = 5
→ -3x = 5 - 20
→ -3x = -15
→ 3x = 15
→ x = 15 ÷ 3
→ [ x = 5 ]
Hence, the value of x is 5.
HELP THIS IS DUE SOON
Answer:
function : 2 and 3
Step-by-step explanation:
a function cant have any overlapping points on the x axis, if you can draw a line up and down (vertical) and it hits two points then it isn’t a function
HELP PLEASE WILL MARK BRAINLIEST TO BEST ANSWER
Answer:
a) m + 1000
b) m/2
c) 2(m + 1000)
Step-by-step explanation:
Amount earned by Bernie per day = Php 1000
Amount earned by Mitch on a given day = m
a) Expression of combined amount of earnings = m + 1000
b) Amount earned by Eugene on a given day = m/2
c) Amount earned by Rowan = 2(m + 1000)
#4M1735H
HELPPPP please Due today
Answer:
B
Step-by-step explanation:
Answer:
youre correct its m=4
Step-by-step explanation:
got it correct!
Solve this please
35 cm = [?] m
Answer:
0.35
Step-by-step explanation:
100cm = 1m
1cm = 0.01m
35cm = 0.35m
can anyone answer this if u can pls tell me thankyou❤️
Answer:
answer in Step by step
Step-by-step explanation:
first row
4+3=7
-1+1=0
4+-3=1
second row
1+3=4
1+-1=0
-3+1=-2
thrid row
-2+3=1
-2+-1=-3
-2+-3=-5
can someone help me with 1-10
Answer:
Step-by-step explanation:
1 - 4 are in the attached image. Use a spreadsheet for quick calculations.
5. Opens up. Vertex is (0,1) Symmetry around y axis.
6. Opens down. Vertex is (0,-4) Symmetry is around y axis
7. Opens up. Vertex is (1,-1) Symmetry around y axis
8. Opens up. Vertex is (-1,0) Sym. around y axis
9. Opens up. Vertex is (1,1) Sym. around y axis
10. Opens down. Vertex is (1.25, 0.125) Sym around y axis
Hi! I need help with this!
Choose all the expressions that are equal to 0.8 x 0.03.
A. 8/100 x 3/100
B. 3/100 x 8/10
C. 80/100 x 3/100
D.3/10 x 80/10
E. 8/10 x 3/100
Please help me I have it do in a couple days and want to get it done today! Please and thank you!
Answer:B, C and E
Step-by-step explanation:
0.8 = 8 tenths
0.03 = 3 one hundredths
80/100 is the same as 8/10 or 8 tenths
3/100 is also 3 hundredths
This can be expressed by 8/10 and 3/100
Answer:
e, c, b
Step-by-step explanation:
for more info, check the picks, if this helped, please mark as brainliest
5(x-3)=3x+5 (solve for x)
Answer:
5x-15=3x+5
5x-3x=5+15
2x=20
x=20/2
x=10
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Hello!
Let's distribute the parenthesis
Solve:
5(x - 3) = 3x + 55(x) - 5(3) = 3x + 55x - 15 = 3x + 5Now, we can rearrange the variable so that x is on one side and the numbers are on the other.
5x - 15 = 3x + 55x - 15 - 3x = 3x + 5 - 3x2x - 15 = 52x - 15 + 15 = 5 + 152x = 20We can isolate x by dividing by the coefficient of x (2).
2x = 202x ÷ 2 = 20 ÷ 2x = 10The value of x is 10.
You purchase six municipal Bonds on the first of the year.
The current market value price is 103.
The commission charge is $5 per bond
what is the cost of purchasing these bonds ?
Answer:
C
Step-by-step explanation:
Answer:
6210
Step-by-step explanation: