Need this worked out please so I can understand it
a) Find the slope of the curve y= x^3 + 3 at the point P(-2, -5)
b) Find an equation of the tangent line to the curve at P(-2, -5)
Answers
9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
__
b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
Related Questions
Alix is 6 inches shorter thelan Ben. Alix is p inches tall. Write an expression to show how tall Ben is
Answers
Answer:
p+6
Step-by-step explanation:
Solve the equation for y.
-4x+ 3y = 12
Answers
Answer:
[tex] - 4x + 3y = 12 \\ 3y = 12 + 4x[/tex]
divide through out by 3:
[tex]y = 4 + \frac{4}{3} x \\ \\ { \boxed{ \boxed{y = \frac{4}{3}x + 4 }}}[/tex]
Answer:
y = 4/3x + 4
Step-by-step explanation:
-4x + 3y = 12
-4x + 3y + 4x = 12 + 4x
3y = 4x + 12
3y/3 = (4x + 12)/3
y = 4/3x + 4
If you can make 12 cookies in 10 minutes, how long does it take to make 200 cookies
Answers
Answer:
12 cookies = 10minutes
200 cookies = x minutes
cross multiply
200×10 = 12x
2000= 12x
divide both sides by 12
X = 166.67 minutes
Step-by-step explanation:
that is 200 cookies will take 166.67 minutes
Answer:
[tex]12 \: cookies \: in \: 10 \: minut \: \\ 1 \: cookie \: in \: \frac{10}{12} = \frac{5}{6} \: minute \\ for \: 200 \: cookies = \frac{5}{6} \times 200 = 166.67 \: minute \\ thank \: you[/tex]
Make up a data set (n = 10) that has the same minimum value, same median, and same maximum value, but a larger IQR than the boxplot shown.
a. Give your 10 numbers.
b. Give the 5-number summary for your data.
c. Describe your strategy for figuring this out.
Answers
The 10 hypothetical numbers which meets the conditions given on the question may include :
1, 2, 3, 5, 6, 6, 7, 10, 10, 12
The five number summary include the maximum, minimum, lower quartile, Median and upper quartile of a distribution.
The five number summary of the hypothetical data are:
Median: 6
Minimum: 1
Maximum: 12
Lower quartile: 2.75
Upper quartile: 10
Comparing the 5 - number summary of the hypothetical data with that of the given boxplot.
From the given boxplot shown :
Minimum value = 1
Maximum value = 12
Median = 6
LOWER QUARTILE, Q1 = 4
UPPER QUARTILE, Q3 = 8
IQR = (Q3 - Q1) = 8 - 4 = 4
THE 10 made up numbers :
1, 2, 3, 5, 6, 6, 7, 10, 10, 12
The five number summary for the made up data :
Median = 1/2(n+1)th term = 5.5th term = (6+6)/2 = 6
Minimum: 1
Maximum: 12
First quartile = 1/4(n+1)th = 2.75th term = (2+3)/2 = 2.5
Third quartile: 3/4(n+1)th term = 8.25 = (10+10)/2 = 10
Interquartile Range: (10 - 2.5) = 7.5
The original data values and hypothetical data have the same minimum and maximum and median values. The hypothetical data has an higher IQR value than the original data.Learn more : https://brainly.com/question/12992903?referrer=searchResults
Malachy rolls a fair dice 168 times.
How many times would Malachy
expect to roll an even number?
Answers
Step-by-step explanation:
no of even numbers=84
84/168
1/2
plsss mark brainliesttt
Find the area of this triangle. Round to the nearest tenth. 8m, 62°, 12m.
Answers
9514 1404 393
Answer:
42.4 m²
Step-by-step explanation:
The area can be found from the formula ...
Area = 1/2ab·sin(C)
Area = (1/2)(8 m)(12 m)sin(62°) ≈ 42.4 m²
please help!!!!!!!!!
Answers
Answer:
110
Step-by-step explanation:
First, find the perimeter of 1 fence.
55/2 or [tex]27\frac{1}{2}[/tex]
Multiply by the number of fences (4)
110
I hope this helps!
if (a^-1+b^-1)(a+b)^-1=a^mb^n.prove that a^(m-n)=1.
Answers
Answer:
46666
Step-by-step explanation:
Needing some help for my online class thanks
Answers
Answer:
[tex]y=1/2x+2[/tex]
Step-by-step explanation:
Know that: [tex]y=mx+b[/tex]
Starting for (0,0) count how many times you go up to the marked line (which is 2)
[tex]y=1/2x+2[/tex]
The [+] 2 is where you would start off at on the graph, with 1/2 being the slope go up one and over two.
Fitness 19 charges a $44 sign up fee and $30 per month. LA fitness charges a $99 sign up and $25 per month. For what number of months is the cost the same?
Answers
Answer:
11 months
Step-by-step explanation:
Let x = months
y = total cost
Since Fitness 19 charges $30 a month, we multiply x by 30 like this: 30x
$44 is already added on the cost, so the Fitness 19 equation will look like this:
y = 30x + 44
Since LA Fitness charges $25 a month, multiply x by 25 like this: 25x
$99 is already added to the cost, so the LA Fitness equation will look like this:
y = 25x + 99
We need to find the point where they are both the same
30x + 44 = 25x + 99
First, move like terms to one side by subtracting 25x from both sides
30x + 44 = 25x + 99
- 25x - 25x
5x + 44 = 99
Then, subtract 44 from both sides
5x + 44 = 99
- 44 - 44
5x = 55
Finally, isolate the variable, x, by dividing both sides by the coefficient, 5
5x/5 = 55/5
x = 11
Hello Brainly User please help me I will mark brainliest. Its really east math please help me
Answers
not function
not function (i’m pretty sure)
2. not function
function
Find the coordinates of the vertices of each figure after the given transformation.
dilation of 2.5 about the origin
Q(-1,-1), R(-2, 1), S(0, 2), T(2,0)
Answers
Step-by-step explanation:
Q(-1,-1), R(-2, 1), S(0, 2), T(2,0)
after dilation, all the numbers should be multiplied by 2.5.
so, the correct answer is d.
Q'(-2.5 ,-2.5), R'(-5, 2.5), S'(0, 5), T'(5,0)
PLEASE HELP MARKING BRAINLIEST
Answers
please show work 3d – 4 + d = 8d – (-12)
Answers
Answer:
d = -4
Step-by-step explanation:
3d – 4 + d = 8d – (-12)
3d - 4 + d = 8d + 12
4d - 4 = 8d + 12
(4d - 4d) - 4 = (8d - 4d) + 12
-4 = 4d + 12
-4 - 12 = 4d (+ 12 - 12)
-16 = 4d
-16/4 = 4d/4
d = -4
Answer:
d= -4
Step-by-step explanation:
3d- 4 +d = 8d + 12
4d - 4 = 8d + 12
4d = 8d + 16
-4d = 16
d= -4
Check
-12 - 4 - 4 = -32 + 12
-20 = -20
What is the fraction in simplest form?
14/16
79
28/32
78
7/16
Answers
Answer:
7/8
Step-by-step explanation:
Divide the top and bottom by 2.
14 / 2 = 7
16 / 2 = 8
7/8
Which equation matches the line shown on the graph below?
Answers
count rise/run. the 0 goes 2 up and 3 over to the next point making that your slope
Can someone help (Geometry)
Answers
Answer:
∠DAC is 35°
Step-by-step explanation:
Given:
Measure of ∠DAB = 64°
Measure of ∠CAB = 29°
Solution:
∠DAB shows the value of the overall angle.
∠CAB shows the value for almost half of the angle.
∠DAB - ∠CAB = ∠DAC
64° - 29° = ?
∴ 64° - 29° = 35°
Hence, the value of ∠DAC is 35°
Solve for the value of R
Answers
Answer:
13
Step-by-step explanation:
Since the angles form 180 degrees, it will be what the equation is equal to.
Make the equation:
8r + 5 + 5r + 6 = 180
Combine like terms:
8r + 5 + 5r + 6 = 180
13r + 5 + 6 = 180
13r + 11 = 180
Solve:
13r + 11 = 180
-11 -11
---------------------
13r = 169
------ ------
13 13
r = 13
Hope this helped.
Josefina's check at Sun Bistro is $26.70. In order to leave a 24% tip, how much should she pay? Round to the nearest cent.
Answers
Answer:
33.11 hope this helps
Step-by-step explanation:
she needs to pay $33.108 In order to leave a 24 percent tip.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, Josefina's check at Sun Bistro is $26.70. she wants to leave a 24% tip
Bill of josefina = 26.70
Bill after 24% tip = 26.70 * (1 + 24%)
Bill after 24% tip = 26.70 * 1.24
Bill after 24% tip = 33.108
Therefore, In order to leave a 24% tip she needs to pay $33.108.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ2
If f(x) = 3x +5/x what is f(a+2)?
Answers
Substitute a+2 instead of x
That would look something like: 3(a+2)+5/a+2
Now simplify:
3a+6+5/a+2
3a+11/a+2
3(a+2) +5/(a+2)
3a+6 + 5/(a+2)
LCM: (3a(a+2) + 6(a+2) +5)/a+2
So your answer will be (3a^2 + 12a + 17)/(a+2)
I hope this helps :)
5 + (-8) - (-10)
please help
Answers
Answer:
-7
Step-by-step explanation:
5 + (-8) - (-10)
5 - 8 + 10
-3 + 10
7
Answer:
7
Step-by-step explanation:
TUrns into 5-8-(-10)
5-8+10
PEMDAS the answer and youll get 7
Using BODMAS, I think but please help!!!
And show the steps
Answers
Answer:
= 12
Step-by-step explanation:
2 × {4 ÷ 2 -5}^2 -6
Solve the brackets first
2 × { 2 -5}^2 -6
2 ×{-3 }^2 -6
2 × 9 -6
18 -6
= 12
Step-by-step explanation:
[ 4 ÷ 2 - 5 ] ² - 6
(2 - 5)² - 6
(-3)² - 6
9 - 6
= 3
Luis buys 0.56 pound of power pasta. Mariana buys 0.27 pound of power pasta. How much do they buy in all?
Answers
Add the two amounts together:
0.56 + 0.27 = 0.83 pounds total
Luis buys 0.56 pound of power pasta. Mariana buys 0.27 pound of power pasta. How much do they buy in all?
Solution:First, understand the problem.
Luis buys 0.56 pounds of power pasta.
Mariana buys 0.27 pound of power pasta.
Then, add the bus of Luis and Mariana.
Luis buys + Mariana buys = N0.56 + 0.27 = NN = 0.83Answer:Therefore, 0.83 buy in all.14 644 552 + 25 625 568
ayud estoy haciendo tarea :3
Answers
Answer:
14644552+25625568
=40270120
Step-by-step explanation:
is right answer
evaluate the expression -(5/7)^0
Answers
Answer:
1
Step-by-step explanation:
Please Help Please !!!!!!!
Answers
Answer:
I wish I could but I think its c
If two functions are inverses of each other, which 2 statements are true?
A The graph of an inverse of a function is a reflection of the function across the line y=x. B f(g(x)) = x and g(f(x)) = x
C The graph of an inverse of a function is a reflection of the function across the line y=0. D f(g(x)) =1 and g(f(x)) = 1
Answers
Answer:
A and B
Step-by-step explanation:
To be inverses, the inverse composite functions must equal x, since the input and output must be equal as how much you used as your input, which is x. B proves that. Also, the graph must reflect over y = x, which is the line that runs through the origin
K = [ 14 -13 0 3 8 -1 -10 -2 5 ] find the determinant of K
Answers
I suppose K is the matrix
[tex]K = \begin{bmatrix}14 & -13 & 0 \\ 3 & 8 & -1 \\ -10 & -2 & 5\end{bmatrix}[/tex]
To compute det(K), you can use a simple cofactor expansion along the first row:
[tex]\det(K) = 14\times\det\begin{bmatrix}8 & -1 \\-2 & 5\end{bmatrix} - (-13)\times\det\begin{bmatrix}3 & -1 \\ -10 & 5\end{bmatrix} + 0\times\det\begin{bmatrix}3 & 8 \\ -10 & -2\end{bmatrix} \\\\ \det(K) = 14\times(8\times5-(-1)\times(-2)) + 13\times(3\times5-(-1)\times(-10)) + 0 \\\\ \det(K) = 14\times38 + 13\times5 = \boxed{597}[/tex]
Evaluate x + 2.7 for x= -1.5.
The value of the expression is
Answers
[tex]\text{x}=-1,5\\\\\text{x}+2,7=-1,5+2,7=2,7-1,5=\boxed{1,2}[/tex]
please help will give you brainly
Answers
Answer:
-1/2
Step-by-step explanation:
3(y+13 )=36
y+13=12
y=-1
(1/2) x -1 = -1/2
3(y + 13) = 36
Distribute the 3
3y + 39 = 36
Subtract 39 from both sides.
3y = -3
Divide both sides by 3
y = -1
1/2y = 1/2(-1) = -1/2
