Answer:
<-8,-2>
Step-by-step explanation:
Answer:
(x - 8, y - 2)
Step-by-step explanation:
x-coordinates:
3 and -5
How do you get from 3 to -5?
You subtract 8
This means:
x - 8
y-coordinates:
2 and 0
How do you get from 2 to 0?
You subtract 2
This means:
y - 2
Put it together:
(x - 8, y - 2)
Therefore, the algebraic rule is subtract 8, subtract 2.
For the graph, locate the x-intercept and y-intercept.
x-intercept = -4, 4, -8, or 8
y-intercept = -4, 4, -8, or 8
Answer:
The x-intercept is at
✔ (6, 0)
The y-intercept is at
✔ (0,-2)
Step-by-step explanation:
this is for the second question of this problem
Differentiate the function.
y = (4x − 1)^2 (4 -x^5)^4
dy/dx=
Answer:
[tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Terms/CoefficientsFactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
y = (4x - 1)²(4 - x⁵)⁴
Step 2: Differentiate
Product Rule: [tex]\displaystyle y' = \frac{d}{dx}[(4x - 1)^2](4 - x^5)^4 + (4x - 1)^2\frac{d}{dx}[(4 - x^5)^4][/tex]Chain Rule [Basic Power Rule]: [tex]\displaystyle y' = [2(4x - 1)^{2 - 1} \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^{4 - 1} \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Simplify: [tex]\displaystyle y' = [2(4x - 1) \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Basic Power Rule: [tex]\displaystyle y' = [2(4x - 1) \cdot 4x^{1 - 1}](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^{5 - 1}][/tex]Simplify: [tex]\displaystyle y' = [2(4x - 1) \cdot 4](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^4][/tex]Multiply: [tex]\displaystyle y' = 8(4x - 1)(4 - x^5)^4 - 20x^4(4x - 1)^2(4 - x^5)^3[/tex]Factor: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 2(4 - x^5) - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute 2: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute -5x⁴: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 20x^5 + 5x^4 \bigg][/tex][Brackets] Combine like terms: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3(-22x^5 + 5x^4 + 8)[/tex]Factor: [tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Someone help ASAP! Weill give brainliest. (Not a quiz or test or anything)
Answer:
17.8
Step-by-step explanation:
First:
put the equation together
(2x+3) * (x+2)=91
Secondly:
condense
parenthisis can be dropped and normal problem solving can be used.
5x+2=91
subtract 2 from either side of the =
this will give you 5x=89
next divide 5 from each side because it is multiplying the x
x=17.8
Two sides of a triangle have lengths of 5 and 9. Which inequalities
represent the possible lengths for the third side, x? *
Answer:
4 < x < 14
Step-by-step explanation:
The third side is between the difference and the sum of the other two sides
9-5 < x < 9+5
4 < x < 14
what is the difference for -22 - (-26)
Answer:
4
Step-by-step explanation:
I don’t need you to explain just answer.
Answer:
domain= {-4,2,3,4}
range = {-4,0,2,3}
15
Type the correct answer in each box. Use numerals instead of words.
This system of equations has been placed in a matrix:
y = 650x + 175
y= 25,080 - 120x
Column 1
Column 2
Column 3
Row 1
-1
Row 2
120
Reset
Next
The matrix representation of the system looks:
| -650 0 |
| -1 120 |
To clarify, it seems you have provided a system of equations:
y = 650x + 175
y = 25,080 - 120x
Now, you want to create a matrix representation of this system by filling in the values in the columns and rows.
Column 1: The coefficient of x in the first equation is 650, so we put -650 in Column 1.
Column 2: The coefficient of x in the second equation is -120, so we put -120 in Column 2.
Column 3: There are no constants in front of x in the given system, so we put 0 in Column 3.
Row 1: Since the first equation has a positive coefficient of x, we put -1 in Row 1.
Row 2: The second equation has a negative coefficient of x, so we put 120 in Row 2.
for such more question on matrix
https://brainly.com/question/30715889
#SPJ8
Suppose that the weights of 5400 registered female Labrador retrievers in the United States are distributed normally with a mean of 62.5 lb and a standard deviation of 2.5 lb. Approximately how many of the Labrador retrievers weigh less than 65
I believe the normal distribution is symmetrical above and below
the mean. That tells us that in this kind of distribution, the mean
and the median are the same number ... 50% of the population
is below it, and 50% is above it.
So if the female Labs' weight actually follows a 'normal' distribution
with a mean of 62.5 lbs, then 2,700 of them weigh more than 62.5 lbs
and 2,700 of them weigh less than that.
The standard deviation doesn't matter.
Can someone please help me answer this question?
Answer:
132.5 inches
Step-by-step explanation:
The area of a triangle is 1/2 base height. the area of a rectangle is base height. Applying those principles gives us two equations: 8.5 x 10 / 2, and 9 x 10
then we have 42.5 and 90. in order to find the entire figure, they must be added so 42.5 plus 90 is 132.5. make sure to add the unit!
Answer:
Step-by-step explanation:
Triangle area
A=h_b*b/2
=8.5*10/2
=42.5in^2
Rectangle area
A=lw
=9*10
=90
Add all together
42.5+90
=132.5in^2
PLEASE HELP ME OUT PLEASE PLEASE IT WOULD BE HELPFUL THANK YOU
Answer:
D
Step-by-step explanation:
Starts with 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
and so on
Using the following image, solve for x.
Answer:
x=6
Step-by-step explanation:
(2+x)+1=2x-3
3+x=2x-3 . Combine like terms
6+x=2x Add 3 to both sides
x=6 Subtract X from both sides
What is the measure of ZY, in degrees?
Help please someone
Answer: 751 points
Step-by-step explanation:
454 + 297 = 751
Answer:
751
Step-by-step explanation:
-297 + 454 = 751
Easier way of doing this is rounding 297 to 300 and doing 454 + 300, and subtracting 3.
One angle is
angle is 65 degrees, the other is
90 degrees, what is my missing angle?
What is my first and last name?
Answer:
your missing angle is
90+65 = 155
180-155 = 25
so your missing angle is 25 degrees
How do you convert a decimal into a mixed number 10.5
Answer:
10[tex]\frac{1}2}[/tex]
Step-by-step explanation:
10.5 represents a whole number of 10 and a leftover .5 value.
.5 represents one half
the fraction for one half is 1/2.
leaving you with 10[tex]\frac{1}{2\\}[/tex]
Give the domain and range.
Answer:
Domain is {-2,0,2}
Range is {4,6,8}
Step-by-step explanation:
The domain is the input or x values
Domain is {-2,0,2}
The range is the output or y values
Range is {4,6,8}
What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 17
The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.
Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.
Answer:
17
Step-by-step explanation:
It's the only number that repeats and I also took the test :)
Express the series using sigma notation. 6 + 9 + 12 + 15.
15
Σ 40
n=6
explanation; add all the numbers to get 40
6 is the first number and 15 is the last number
Answer: D on edg
Step-by-step explanation:
Find the perimeter and area of the rectangle given below. A rectangle ABCD with vertices A(2,4), B(2,7), C(5,7), and D(5,4).
Answers:
Perimeter=6 units
Area=0 units ^2
please see the attached picture for full solution
hope it helps
Good luck on your assignment
AC =
Round your answer to the nearest hundredth.
B
6
70degrees
A
?
с
Answer:
AC ≈ 2.18 units
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan70° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{AC}[/tex] ( multiply both sides by AC )
AC × tan70° = 6 ( divide both sides by tan70° )
AC = [tex]\frac{6}{tan70}[/tex] ≈ 2.18 ( to the nearest hundredth )
Which best compares the volumes of cylinder X and cylinder Y?
A. The volume of cylinder X is less than the volume of cylinder Y.
B. The volume of cylinder X is equivalent to the volume of cylinder Y.
C. The volume of cylinder X is greater than the volume of cylinder Y.
D. There is not enough information to compare the volumes.
Considering the equation for the volume of a cylinder, it is found that the correct statement is:
A. The volume of cylinder X is less than the volume of cylinder Y.
What is the volume of a cylinder?
The volume of a cylinder of radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.
More can be learned about the volume of a cylinder at https://brainly.com/question/9408912
Answer:
It is answer B
Step-by-step explanation:
this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.
The sum of two consecutive numbers is 89. What are the two numbers? A. 43 and 46 B. 44 and 45 C. 38 and 51 D. 45 and 46
Answer:
C
Step-by-step explanation:
Its C
whats a quadrilateral with two sides going in the same direction
Answer:
Trapezoid.
Step-by-step explanation:
That is a trapezoid ( in the UK a trapezium).
There is a pair of parallel sides.
3. a. Come up with a probability problem that deals with dependent events.
b. Solve the probability problem in part a. please need help I will be MARKING as BRIANILIST, thank you so much.
A girl has 20 marbles
10 are red, 7 are blue, and 3 are green
If she picks 5 marbles, without replacing them, what are the chances all 5 are red?
10/20 * 9/19 * 8/18 *7/17 * 6/16
1/2 * 9/19 * 4/9 * 7/17 * 3/8
1/2 * 1/19 * 3/2
1/76
please help❤️
A cannonball shot from the top of a building
can be modeled by the following equation:
h = –16(t = 3)2 + 189
Answer:
nole entiendo preguntale atu profe
Find the counterexample to one of the following statements
1). A triangle cannot have an angle that is greater than 90º .
2). The product of two positive numbers is always greater than their sum.
Answer:
1) You know that the addition of all interior angles of a triangle always should add up to 180°
Then, for example, we can construct a triangle with angles
100°, 40°, 40° such that
100° + 40° + 40° = 180°
So we have an example of a triangle that has one angle greater than 90°.
2) Suppose that we have the positive numbers 0.5 and 1.
The product is: P = 0.5*1 = 0.5
the sum is: S = 0.5 + 1 = 1.5
The sum is greater than the product.
Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2
Answer:
B
Step-by-step explanation:
[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]
You can confirm this by working in reverse:
[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]
Hope this helps!
Answer:
(x−4)^2
Step-by-step explanation:
I did the test
Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)
The simplest polynomial expression is
-26x^2+56x-15
Answer: -26x^2 + 56x -15
Step-by-step explanation:
3x(-2x + 7) - 5(x -1) (4x -3)
-6x^2 + 21x - (5x + 5)(4x-3)
-6x^2 + 21x -20x^2 +15x + 20x -15
= -26x^2 + 56x -15
The temperature falls from 0 degrees to -12.4 degrees in
13 1/2
hours. Which expression finds the change in temperature per
hour?
Answer:
Step-by-step explanation:
The temperature falls from 0 degrees to -12.4
0-(-12.4) = 12.4
12.4/13.4 degree per hours
0.9185 degrees/ hour
Please help ASAP- will give brainliest! Picture Below
Answer:
c
Step-by-step explanation:
Answer:
A - ( 2, - 4 )
Step-by-step explanation:
M, N , O is reflected at the points (-2,2) - O (-5,3) - M (-2,4) - N, and the triangle MNO is rotated 180 degrees around the origin , Down once because the triangle is being rotated around the origin and then right which would be the answer A. Hope this Helps : )
