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)
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)
To win a math game, Lamar has to pick a card with an
expression that has a value greater than 1. The card Lamar chooses
reads (1/2) to the -4 power. Does Lamar win the game? Explain.
:)
Answer:
YES,
AS ,
1/2^-4
=2^4=16.
16>1
HOPE IT HELPS
26 555 355 + 24 653 456
:3
Answer: The answer is 51,208,811
Can we be friends?
Answer:
51,208,811
Step-by-step explanation:
Find 4x when x= 3.
The answer is
(Answer quickly)
Answer:
hope it helps you... .....
Answer:
12
Step-by-step explanation:
Just multiply. X =3. So there is four Xs, so just multiply
what is a vertical line ?
Step-by-step explanation:
A line perpendicular to a surface or to another line considered as a base.
How do you convert 0.580 (80repeating) as a fraction?
Answer:
58/100
Step-by-step explanation:
9514 1404 393
Answer:
115/198
Step-by-step explanation:
The repeat is 2 digits, so you can multiply the number by 10 to that power.
x = 0.58080...(2-digit repeat)
100x = 58.08080...(2-digit repeat)
Then subtract the original number.
100x -x = 99x = 58.08080... -0.58080... = 57.5
Now, divide by the coefficient of x.
x = 57.5/99 = 115/198
This fraction cannot be reduced, so is the fraction you're looking for.
0.580...(2-digit repeat) = 115/198
_____
Additional comment
The number of 9s in the denominator is the number of repeating digits. If the repeat started at the decimal point, the fraction would be those two repeating digits divided by two 9s (99).
Your number can be considered to be ...
0.58080...(2-digit repeat) = 0.5 + 0.0808...(2-digit repeat)
This will be ...
0.58080... = 1/2 + 8/99 = 99/198 +16/198 = 115/198
The distance from the earth to the moon is two hundred thirty eight thousand, nine hundred miles. Write the distance in standard form and expanded form.
Answer:
Standard: 238,900
Expanded: 200,000 + 30,000 + 8,000 + 900
Step-by-step explanation:
The distance in standard form is 238,900 and in expanded form is 200,000 + 30,000 + 8,000 + 900.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the distance from the earth to the moon is two hundred thirty-eight thousand, nine hundred miles.
The number in standard form will be written as below:-
Standard form = 238,900
The number in the expanded form will be written as below:-
Expanded form = 200,000 + 30,000 + 8,000 + 900.
Therefore, the distance in standard form is 238,900 and in expanded form is 200,000 + 30,000 + 8,000 + 900.
To know more about an expression follow
https://brainly.com/question/295961
#SPJ2
Can someone help me?? 3+3
Answer:
6
Step-by-step explanation:
count your fingers
Is it possible to use latex using the dollar syntax here?
Let me try
1) Using the tex tag
[tex]\latex \int_a^b f(x)\, dx[/tex]
2) Using the dollar syntax
$\latex \int_a^b f(x)\, dx$
3) Using the double dollar syntax
$$\latex \int_a^b f(x)\, dx$$
4) Using the display mode math
\[\latex \int_a^b f(x)\, dx\]
5) Using the slash parentheses syntax
\(\latex \int_a^b f(x)\, dx\)
Step-by-step explanation:
No, the LaTeX that the app uses starts and ends with the [ tex ] and [/ tex ] tags (without the spaces). In (1), simply remove the \latex tag and the integral will appear in embedded form:
[tex] \int_a^b f(x)\, dx[/tex]
This is meant to maintain the line spacing. If you want show the full size of the integral (or in display mode), add the \displaystyle tag after the [ tex ] like this
[ tex ]\displaystyle \int_a^b f(x)\, dx[/ tex ]
and the integral will look like this
[tex]\displaystyle \int_a^b f(x)\, dx[/tex]
after removing the spaces in the [tex] tag. This works also for sums and product of a series and limits.
When rolling a die, what is the probability of rolling a 1 or a 4 write your answer in a fraction?
Answer:
[tex]1/3[/tex]
Step-by-step explanation:
There are 6 values on a die, and we want 2 values. The fraction now is [tex]2/6[/tex]. But, wait! We can simplify this fraction: [tex]1/3[/tex].
Side note:
I understand if you wanted just the [tex]2/6[/tex] fraction and not simplified.
The surface area of the prism is
Answer:
You'll have to multiply 9x12x8x4x5 which is equal to 17,280
Solve for p: p^2+4p-32=0
P=? (Smaller value)
P=? (Larger value?
Enter your answer in a single field, separated by a comma. Try different orders.
Answer:
hope it helps you.........
Which is the intersection of XY¯¯¯¯¯¯ and XZ¯¯¯¯¯?
X
Y
Z
XY¯¯¯¯¯¯
XZ¯¯¯¯¯
Answer:
A) XStep-by-step explanation:
It is assumed we are talking about two rays XY and XZ.
They intersect at common point X.
Correct choice is A
X is the intersection point .
Determine whether the equation is linear or not. Then graph the equation by finding and plotting ordered-pair
solutions.
y = 8x
.
Is the equation y = 8x linear or not?
not linear
linear
(Answer quickly)
Answer:
i dont know i just want points
Step-by-step explanation:
Answer:
no its not linear
Step-by-step explanation:
here is one example of a linear equation: y = 5x + 12
HELPPP PLSSSSS!!!!!!!!!
Answer:
3x³+10x²-8x-2
Step-by-step explanation:
(-3x³+7x²-8x+11)-(-3x²+13)
remove unnecessary parentheses-3x³+7x²-8x+11-(-3x²+13)
collect like terms-3x³+10x²-8x+11-13
ans=-3x³+10x²-8x-2
What number line best shows how to solve -8-(2)
Answer:
Step-by-step explanation:
5tutu
helpppppppppppppppppppppp
Answer:
x is neg and y is positive so the answer is x < 0 and y > 0
I have no ideas what this means at all. Please help me.
Answer:
x + 8 = 8 + x
Step-by-step explanation:
the commutative property for addition is A + B = B + A
so you basically just swtich the numbers around
x + 8 = 8 + x
simplify -5^2-2^4
and it just says to make it 20 words long
Answer:
9 because all you have to do is put number by number in the calculator
can someone tell me what the lcd is??
Which of the following is equal to the rational expression when x≠5
Answer:
the following is equal to the rational expressions when x5
I need some help in figuring out the bottom left blank ASAP! Please Help
Answer:
Inequality notation R
Step-by-step explanation:
Domain is represented by the letter D
Range is represented by the letter R
What is the answer to log327 =
Answer:
the value of log327 is
2.5145477
Answer: 3
Step-by-step explanation:
[tex]log_3(27)=log_3(3^3)=3*log_3(3)=3*1=3\\[/tex]
Simplify problem....
Step-by-step explanation:
a=5x^3
b=7y^9
that is the answer
Two points are given: (-4,3) and (2,-5). Find the distance between the two points. (The numerical value simplified as much as possible thanks)
Answer:
distance is 11.3137 units
Step-by-step explanation:
[tex] \sqrt{( - 4 -2) ^{2} + (3 - - 5) ^{2} } \\ \sqrt{64 + 64} \\ \sqrt{128 } \\ \sqrt{2 \times 64} \\ \sqrt{2} \times \sqrt{64} \\ 8 \sqrt{2} \: units \\ 11.3137 \: units[/tex]
hopefully it makes sense
:)
HELP ME!!!
Steve goes on a road trip. He travels a total of 835 miles, and the trip takes 10 hours from start to finish.
What is his average rate of change of distance? Please include units in your answer.
Solve h + 6 / 5 = 2
Solve for h
Answer:
-1
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
h + 6 / 5 = 2 * 5
h + 6 = 10 -6
h = 4
Which is the best estimate of 90 square root
Answer:
9.486
Step-by-step explanation:
the best estimate of 90 square root is 9.486
Question question question question helppppppppp
Thanks!
Answer:
5/6 5/7 5/8 5/12? im bad at fractions sorry hope it helped tho
Step-by-step explanation:
Answer:
5/12 5/8 5/7 5/6
Step-by-step explanation:
If we divide 5 by 12 we get 0,42
If we divide 5 by 6 we get 0.83
So we know 5/12 is less than 5/6, so we just need to order the numbers in between, and as result we get:
5/12 < 5/8 < 5/7 < 5/6
Find the slope and y-intercept of the line.
- 6x + y = 8
-...
Find the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Simplify your answer. Type an integer or a fraction.)
OB. The slope of the line is undefined.
(Answer quickly)
[tex]\large \mathfrak{Solution : }[/tex]
let's write the given equation in its slope intercept form :
i.e y = 6x + 8
by comparing to the general equation : y = mx + c
we get, slope (m) = 6
