Get the derivative:
y = (9 - x²)¹ʹ³
dy/dx = 1/3 (9 - x²)⁻²ʹ³ d/dx [9 - x²]
dy/dx = 1/3 (9 - x²)⁻²ʹ³ (-2x)
dy/dx = -2/3 x (9 - x²)⁻²ʹ³
Evaluate it at x = 1 :
dy/dx (1) = -2/3 • 8⁻²ʹ³
Since 8 = 2³, we have
8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4
Then the tangent line has equation
y - 2 = 1/4 (x - 1) → y = 1/4 x + 7/4
Sally is selling strawberries at the farmer’s market. She sells 5 boxes in the morning, and then sells half of the remaining boxes of strawberries by the end of the day. If Sally ended up with 9 boxes of strawberries left at the end of the day, how many boxes did she start with
Answer:
23 boxes
Step-by-step explanation:
x=5+9*2
Answer:
23
Step-by-step explanation:
I did this backwards.
Since we know that Sally ended up with 9 boxes of strawberries, and sold half of the remaining strawberries, she must've had 18 boxes. Adding the 5 boxes from the beginning gets us 18+5=23
You also could've wrote an equation.
x=boxes of strawberries
x the total amount of boxes in the beginning of the day
x-5 the 5 boxes she sold
(x-5)/2 half of the remaining boxes sold
(x-5)/2=9 the amount left
A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?
A:
A)
17 inches
B)
2.4 inches
o
2.9 inches
D)
3.1 inches
Answer:
B) 2.4 inches
Step-by-step explanation:
The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in one month you need to divide the total by the amount of months. 28.8/12 = 2.4
These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!
9514 1404 393
Answer:
a = 6b = 22.5Step-by-step explanation:
The ratio of smallest sides in the two triangles is ...
smaller / larger = 4/10
To find A and B, we write proportions involving corresponding side lengths.
__
Side A in the smaller triangle is ...
A/15 = 4/10
A = (4/10)(15) = 6
__
The ratio of larger to smaller is the inverse of the above ratio, so ...
B/9 = 10/4
B = (10/4)(9) = 22.5
Which graph does NOT represent a function?
A)
A
B)
B
C)
С
D)
D
Answer:
(B)
Step-by-step explanation:
it is an undefined
ratio of 5 to 2 total number of servers and cooks is 42 how many servers
Answer:
30
Step-by-step explanation:
5 x 6 = 30
2 x 6 = 12
30+12 = 42
Sydney has $150 in her bank account. She buys a bike for $200. What is Sydney´s account balance now?
What is the percent?
32/80 = %/100
Answer: 40% OUT OF 100
.............helppppppppppppppppppp
Answer:
what????????????????
Answer: I think its A
Step-by-step explanation: I think its A because it depends if its night for the light to flash on the window.
Explain how to find the slope of the line. And explain answer
Answer:
by using the slope incercept form: y=mx+b
this one is m=7/3 (m is the letter we use for the word slope btw) :)
Step-by-step explanation:
What is the value of z in the equation 5(2z+4)
Answer: z = -2
Step-by-step explanation:
5(2z + 4) = 0
10z + 20 = 0 [distributive property]
10z = -20 [carry over the 20]
z = -2 [divide]
HELP!!!!!! does anyone know the answers to e2020 geometry a and b final exam?????? or where to find them? ive searched each question and nothing comes up!!!!!
There are two sites on Quizlet, for free, That have the answers you want.
Sorry, I can't put them in I'll get reported again! So, check it out and have a
beautiful day!
Show how to find the following product using a diagram
1/4 × 2/3
Answer:
3/3
Step-by-step explanation:
HELP ME ANSWER THIS PLEASEEE!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Apply the fraction rule,
Divide the Numbers,
Factor the Number, then cancel the common factor!
How do you multiple 14.5×6.5×6.5?
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{How\ do\ you\ multiply\ 14.5\times6.5\times6.5?}[/tex]
[tex]\bullet\ \textsf{First you have to line up your decimals (If its easier for you break down the equation)}[/tex]
[tex]\mathsf{14.5\times6.5\times6.5}\\\mathsf{14.5\times6.5=\underline{94.25}}\\\mathsf{94.25\times6.5=\underline{612.625}}\\\\\boxed{\boxed{\mathsf{Thus, your\ answer\ is: \boxed{\boxed{\huge\text{\bf{612.625}}}}}}}\checkmark[/tex]
[tex]\mathsf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
division time :)
and i'm stuck with this.
Answer:
Step-by-step explanation:
I think the quotent is 5, but I recommend waiting for sumone else to answer. Because 31.5 divided by 1.4 equals 22.5 but I'm not sure.
whats5666778877 x 81 + 1
Answer: 459009089038
Step-by-step explanation: I smart for a 3yrs old kid. And I don't even need a diAper but my 17 yrs old sister does so she weirdo...
HEY, I also have good news. I JUST GOT POTY TRANED!! YA Boi.
For a science project, Daniel planted 51 flower seeds. Of those seeds, 12 did not grow at all. Of the seeds that did grow, 2/3 of them grew green tomatoes. How many green tomatoes grew?
a) 12
b) 8
c) 26
d) 13
Answer:
C. 26
Step-by-step explanation:
According to the question,
Daniel planted 51 seeds.
12 seeds did not grow at all,
Therefore, the number of seeds that grew are 51-12= 39
Then, from the 39 seeds that grew, 2/3 of them are green tomatoes.
So, to find out how many green tomatoes grew, we solve
2/3 * 39= 26.
Therefore, the amount of green tomatoes are 26.
Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).
Answer:The other endpoint is at ( − 4 , 3 )
Explanation:
The line segment passing through ( − 4 , 9 ) and ( − 4 , 6 )
is a vertical line with the midpoint 3
units below the first point.
The other endpoint must be 3
further units below the midpoint i.e. at ( − 4 , ( 6 − 3 )
Step-by-step explanation:
Use the variable, n, to write an expression for seven less than a number.
Answer:
n-7 would be the equation
Answer:
n - 7
Step-by-step explanation:
n - 7
what is the difference of 1/5 - 3/4
Answer:
1/5 and 3/4 difference is —
-11/20
PLEASE HELP!
Mr tang created a number line for his class to use. which point is a representation of -(-3)?
A) Point A
B) Point B
C) Point C
D) Point D
Answer:
B
Step-by-step explanation:
D point is a representation of -(-3), Option D is correct.
What is Number system?A number system is defined as a system of writing to express numbers.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers
Every point of a number line is assumed to correspond to a real number, and every real number to a point
The points right to the integer zero are positive
The points left to the integer zero are negative
-(-3) is nothing but +3
The point D represents the 3
Hence, D point is a representation of -(-3), Option D is correct.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
Which linear inequality is represented by the graph?
PLEAe help
Answer:
The answer to your problem is the last option
The distance traveled, D in feet, is a function of time, t, in seconds, with
D=f(t)= t 3 +1
Find f(10), f'(10), and the relative rate of change f'/f at t=10. Interpret your answers in terms of distance travele
Answer:
1001 m/s
300 [tex]m/s^2[/tex]
0.299.
Step-by-step explanation:
Given that:
[tex]D=f(t)=t^3+1[/tex]
[tex]f(10)[/tex] means putting the value of [tex]t=10[/tex] in [tex]f(t)[/tex].
[tex]f(10) = 10^3+1=1001[/tex] [tex]m/s[/tex]
To find [tex]f'(10)[/tex], we need to find [tex]f'(t)[/tex] first.
Differentiating the equation of Distance [tex]D[/tex] w.r.to [tex]t[/tex]:
[tex]f'(t) = \dfrac{d}{dt}(t^3+1)= 3t^{3-1}+1 = 3t^2[/tex]
[tex]f'(10) = 3(10)^2=300[/tex] [tex]m/s^2[/tex]
Relative rate of change:
[tex]\dfrac{f'}{f}\ at\ t = 10 \Rightarrow \dfrac{300}{1001} \approx 0.299[/tex]
please help me :((((
pls help Eithan needs to divide theese base ten blocks (9 ten blocks and 6 one blocks)
HOW MANY WOULD BE IN EACH GROUP?
Answer:
carrot
Step-by-step explanation:
give me brainlyist i never got it pls bt i have snap if you want im a girl
Select three ratios that are equivalent to 5:2. Choose 3 answers:
А 2 : 5
B 10:4
C 20 : 50
D 35 : 14
E 55 : 22
Answer:
B, E, D
Step-by-step explanation:
You just look for the ones that have the same factors as 5:2
Answer:
A
C
D
Step-by-step explanation:
if I'm not wrong, I'm sure is that
Answer this pleaseeee
Answer:
A) (5)^48
Step-by-step explanation:
They both equal 3.552713679E33.
does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.
Answer:
Infinite number of solutions
Step-by-step explanation:
Use distributive property to eliminate the parenthesis on the left:
8 x + 12 = 16 x + 12 - 8 x
combine like terms on the right:
8x+ 12 = 8 x + 12
subtract 12 from both sides
8 x = 8 x (notice both sides are identical)
subtract 8 x from both sides
0 = 0
This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")
A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.
Find the equation of the tangent line. y=(x^2+x-2)^2 at (-1,4)
Compute the derivative of y = (x² + x - 2)² using the chain rule:
dy/dx = 2 (x² + x - 2) d/dx [x² + x - 2]
dy/dx = 2 (x² + x - 2) (2x + 1)
Evaluate the derivative at x = -1 :
dy/dx (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
y - 4 = 4 (x - (-1)) → y = 4x + 8