Step-by-step explanation:
Recall that the first derivative of an equation gives us the SLOPE for the tangent line.
So first, we should find the first derivative.
[tex]\frac{dy}{dx} = 6 - 3x^2[/tex]
With the first derivative, we can solve for the SLOPE of the tangent line at (1,5).
Using x = 1.
[tex]slope = 6 - 3(1)^2[/tex]
A tangent line is a line. And has the form [tex]y = mx +b[/tex]
Where m is the SLOPE of the line. and b is the y-intercept.
To get to this equation, let's use the point-slope technique.
[tex]y-y_1 = m(x-x_1)[/tex]
[tex]y - 5 = m(x-1)[/tex]
Solve for slope, substitute it into this equation for m and solve. That is the equation of the tangent line at the point (1,5).
Need help for geo..will mark brainlist
Postulate/theorem = SAS postulate
Explanation :Given :
One side in both triangles are congruent. Another side in both triangles is also congruent. The angles between these two sides are also equal.Since 2 sides and an included angle is equal in these two triangle, they are said to be congruent under the SAS congruence postulate.
2nd pair of triangles :Postulate/theorem = ASA postulate
Explanation :Given :
In triangle KDS and triangle KWS :
Angle K = Angle KAngle S = Angle SSide KS = Side KSSince 2 angles and an included side is equal in these two triangles, they are said to be congruent under the ASA congruence postulate.
3rd pair of triangles :Postulate/theorem = AAS theorem
Explanation :Given :
In triangle ACB and triangle BED :
Angle A = Angle BAngle B = Angle DSide CB = Side EDSince two angles and one side is equal in these two triangles, they are said to be congruent under the AAS theorem.
Please help I’ll give brainleist
solve for X: 2X/5 -1 =59
Answer:
60 is the best answer right
Please help two questions only that it those are only one left and I’m struggling on it
Answer:
popvana used struggle
Step-by-step explanation:
Answer:
P = 24
After 24h will be 108p
Each c is 6m
12 laps
Step-by-step explanation:
36 - 33 = 3
33 - 30 = 3
30 - 27 = 3
27 - 3 = 24
12h = 36p
12h × 3 = 36h
So 36p need to × 3 too
36p × 3 108p
Because 3c to 5c, 18m to 30m need 12m. There was no 4c so the 12m need to divide two. 12m ÷ 2 = 6m.
So each c is 6.
72 ÷ 6 = 12
The six is from the last question.
help due tonight
plssss
Answer:
Perpendicular to base
Step-by-step explanation:
The cut creates two rectangular prisms (each angle must be 90 degrees)
The cut is perpendicular to the base
answer and ill give brainliest
Answer:
1/25 or 2/5 i guess
Step-by-step explanation:
Answer:
A) 3/100
Step-by-step explanation:
3/10x1/10=3/100
A)
450 mm2
B)
67,500 mm2
C)
600 mm2
D)
150 mm2
Answer:
im pretty sure its c
Step-by-step explanation:
i to the power of 121 is equal to what
Answer:
1
Step-by-step explanation:
Hope this helps and have a great day!!!!!
Find the slope of the line through each pair of points(-13,-18),(0.-17)
Find the slope of the line through each pair of points(-18,-9),(-17,-16)
Find the slope of the line through each pair of points(8,18),(-13,20)
Find the slope of the line through each pair of points(7,-10),(3,-10)
Find the slope of the line through each pair of points(-17,-15),(-17,10)
Find the slope of the line through each pair of points(-1,-13)(6,-12)
en la fiesta de ana ay chocaletes chicles y paletas a 10 le gustan los chicles y 7 las paletas y solo a dos le gustan los chicles
Answer:
19
Step-by-step explanation:
Si solicita el total, el total es 10 + 7 + 2, que es 19.
¡Marque como más inteligente!
what is the mean of a set of numbers
Answer:
The mean of a set of numbers, sometimes simply called the average , is the sum of the data divided by the total number of data. Example 1 : ... There are 8 numbers in the set. Add them all, and then divide by 8 .
plz give brainliest
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which is the better deal?
$4.09 for 4 kg
$6.19 for 6 kg
Answer:
$4.09 for 4kg
Step-by-step explanation:
4.09/4 is less than 6.19/6
Answer:
4.09 for 4kg
it would be a better deal bc it will b 1.0225 for each and for 6 it would be 1.0316
Hope this helps
Ben is decorating his home with vases of flowers. He bought glass vases that cost $22 each and ceramic vases that cost $14 each. The total cost of the vases came to more than $172. Also, Ben bought no more than 10 vases in all.
Which system of inequalities can be used to determine the number of glass vases, x, and the number of ceramic vases, y, that Ben could have bought?
The system of inequalities that can be used to determine the amounts is given by:
22x + 14y > 172.x + y < 11.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
A system of inequalities works similarly to a system of equations, just the equality symbol is replaced by an inequality symbol(less, more, different,...).
In this problem, the variables are:
Variable x: Number of glass vases.Variable y: Number of ceramic vases.He bought glass vases that cost $22 each and ceramic vases that cost $14 each. The total cost of the vases came to more than $172, hence:
22x + 14y > 172.
Also, Ben bought no more than 10 vases in all, hence:
x + y < 11.More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
There were two partners Fred and jack Fred can paint 3 paintings per hour, and jack can paint 2 paintings per hour Fred has already painted 9 paintings and Jack has completed 10 paintings they took a break when they finished the same total number of paintings how many paintings did they each make in total? How long will it take each painter?
Answer:
bbbdbrhrhfhdbfhfhchchfhffh
PLEASE ANSWER ASAP
which scatterplot does NOT suggest a linear relationship between x and y?
A) I only
B) I and ll only
C) Ill and lV only
D) I, lll, and IV only
Answer:
B
Step-by-step explanation:
Answer:
Answer is C) 3 And 4 only
Step-by-step explanation:
4. There are 9x - 7 customers in a store on Monday and 5x + 15 customers on Tuesday. What is the total number of customers for the two days? *
Answer:
14x +8
Step-by-step explanation:
9x -7 + 5x +15
9x +5x -7 +15
Rt=R1 R2__, determined Rt when R1=100 and R2 =200?
R1+R2 (electronics)
Answer:
[tex]R_t=300\ \Omega[/tex]
Step-by-step explanation:
Given that,
R₁ = 100 ohms
R₂ = 200 ohms
We need to find the equivalent resistance of the circuit. So,
[tex]R_t=R_1+R_2\\\\R_t=100+200\\\\R_t=300\ \Omega[/tex]
So, the equivalent resistance is [tex]300\ \Omega[/tex].
please help me thank you in advance!
Answer:
D) [tex](x-4.5 )^{2} =16.25[/tex]
Step-by-step explanation:
Explanation
Given that the equation
x² - 9 x +11 =7
[tex]x^{2} -\frac{9}{2} (2x) +11=7[/tex]
[tex]x^{2} -\frac{9}{2} (2x) +(\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]
By using (a-b)² = a²-2ab+b²
[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]
[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11-7=0[/tex]
[tex](x-\frac{9}{2} )^{2} -(\frac{81}{4}) + 4=0[/tex]
[tex](x-\frac{9}{2} )^{2} +(\frac{-81+16}{4}) =0[/tex]
[tex](x-4.5 )^{2} -16.25 =0[/tex]
Final answer:-
[tex](x-4.5 )^{2} =16.25[/tex]
Tyler orders a meal that costs $15. The sales tax rate in Tyler's county is 6.6%. Write an equation to represent the relationship between the original cost of the meal and the cost after the sales tax. Use x for the original cost for the meal and y for the cost after sales tax.
Answer:
Step-by-step explanation:
y = (1.066)x
The equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x
How to calculate the sales tax?The sales tax is the amount charged on the price of goods and services.
Let x be the original cost for the meal
Let y be the cost after the sales
If the sales tax rate in Tyler's county is 6.6%, the tax charged is expressed as:
0.066 of theoriginal cost
0.066x
Cost after tax = original cost + tax
Cost after tax = x + 0.066x
y = 1.066x
Hence the equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x
Learn more on tax here: https://brainly.com/question/9625982
how many triangles can be constucted measuring 60°, 60°, and 40°
Answer:
None, the sum of those angles does not equal 180 degrees
Answer:
none of the traingle can be constructedThe answer of this question is none. The sum of these three angles is 160°. So, none of the triangles can be constructed with angles measuring 60°, 60° and 40°
60°+60°+40°=160°The sum of three angles is 160°
so, none of the traingle can be constructed with angles measuring 60°,60°and 40°.
Step-by-step explanation:
Hope it is helpful....
If LM = 6, what is the perimeter of △PKQ?
Find the answer of m< VZY
Answer:
41
Step-by-step explanation:
Which of the following is a power function? Select all correct answers.
Answer:
The 1st, 4th, and 5th
Step-by-step explanation:
A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.
A flagpole casts a shadow that is 11 feet long. At the same time, a girl standing nearby who is 3 feet tall casts a shadow that is 2 feet long. How tall is the flagpole to the nearest foot?
Answer:
17 feetStep-by-step explanation:
The two shadows are parallel lines and are part of similar triangles formed.
Corresponding sides of similar triangles have same ratio. Let the length of the flagpole be x.
Then we have ratios:
x/11 = 3/2x = 11*1.5x = 17 feet (rounded up)What is the value of the expression 4 × (2a − 1) if a = 3?
A16
B20
C23
D25
find the maximum and minimum values of the function y=1/2 sin2x
Answer:
Maximum value equals 1/2
Minimum value equals -1/2
Step-by-step explanation:
The Sin Function when Graphed Shows a Range of [-1 , 1]
apply that on y=1/2 sin2x
y = 1/2 * 1 = 1
y = 1/2 * -1 = -1
so y = 1/2 , -1/2 .
Another Method using 1st derivativedy/dx = 2 * 1/2 * cos2x
put dy/dx=0
cos2x=0
x= 45, x=135
Apply x values on y=1/2 sin2x
y = 1/2 , -1/2 .
Hope you understand it ^^.
Answer: A
Step-by-step explanation:
If f(x) = (1/8)(8^x), what is f(3)?
Answer:
f(3)=64
Step-by-step explanation:
f(3)=(1/8)(8 cubed)
f(3)= 8 to the negative one times 8 cubed
f(3)= 8 squared
f(3)=64
Answer:
f(3) = 64
Step-by-step explanation:
In this question, you would plug in "3" to "x" and solve.
Solve:
f(3) = (1/8)(8³)
f(3) = (1/8)(8·8·8)
f(3) = (1/8)(512)
f(3) = 512/8
Simplify.
f(3) = 64
Your final answer would be f(3) = 64
can someone help me ?
Answer:
What question are you referring to? a question references question 5 and 6 which aren't displayed.
Arithmetic sequence
Answer:18
Step-by-step explanation:
Note: Mathematicians start counting at 1, so by convention, n=1 is the first term. So we must define what the first term is. Then we have to figure out and include the common difference.
Taking a look at the examples again,
Sequence: 1, 2, 3, 4, … | Formula: a(n) = n + 1 | Recursive formula: a(n) = a(n-1) + 1, a(1) = 1
Sequence: 3, 8, 13, 18, … |Formula: b(n) = 5n - 2 | Recursive formula: b(n) = b(n-1) + 5, b(1) = 3
Please help me solve and explain these two questions:
1. Find f'(x) for f(x) = ln(x^2 + e^(3x))
2. Find dy/dx by implicit differentiation for ysin(x) = xsin(y)
Answer:
go by basics u will get it easier
Step-by-step explanation:
assume X2 + e3x as some function t
now find derivative you get (1/t )dt/dx
now find dt /dx. simply derivative with respect to x
for second question use formula
dy/dx = - partial derivative of function with x / partial derivative of function with respect to y