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
Multiply two and four-fifths negative five and two-thirds
what is p minus 6? i cant find the answer
Answer:
What does P stand for
Step-by-step explanation:
It should say
Answer:
p - 6
is just 5 i think
Step-by-step explanation:
if this helps please mark brainlist
write a rule that represents the function of these ordered pairs. (0,-8), (1,-7), (2,-6), (3,-5), (4,-4)
Answer:
The answer is -10 sorry if im wrong
A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Select three options. S = {1, 2, 3, 4, 5, 6, 7, 8} If A is a subset of S, A could be {1, 2, 3}. If A is a subset of S, A could be {7, 8, 9}. If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}. If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.
Answer: A, B, and E
Step-by-step explanation:
The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A is a subset of S
How to determine the true statements?The sample space is given as:
S = {1, 2, 3, 4, 5, 6, 7, 8}
The possible subsets of S are as follows:
Even numbers = {2,4,6,8}Odd numbers = {1,3,5,7}Any number or group from 1 to 8, inclusiveUsing the above highlights, the possible set of A are:
A could be {1, 2, 3}. A = {1, 2, 3, 4}.Hence, the true statements are (A) and (B)
Read more about spinners at:
https://brainly.com/question/3765462
#SPJ2
2l+2w for l = 5.2 and w = 6.7
Answer:
23.8
Step-by-step explanation:
2(5.2) + 2(6.7) = 23.8
Answer:
23.8 ...............
Step-by-step explanation:
I asked my alexa.
What is 87B -179+957÷87
Answer:
8,677
Step-by-step explanation:
because the chemical in 87b is the same as 17yu so it would be 8,677.
Help??????????????????????
Answer:
i think A diagonals
just a guess ok
After a 15% increase, a town has 115 people. What was the population before the increase?
Answer:
100 people
Step-by-step explanation:
Population Of People=115Percentagencrease=15%
The New Population corresponds to 115%
(That is 100+15)
We want to find the population that corresponds to 100% that is the original population.
Therefore Original Population;
[tex] \frac{100}{115}\times {115}{} [/tex]
[tex]100 \: people[/tex]
Two larger cubes are made out of unit cubes. Cube A is 2 by 2 by 2. Cube B is 4 by 4 by 4. The side length of Cube B is twice that of Cube A.
Is the surface area of Cube B also twice that of Cube A? Explain or show your
reasoning
Is the volume of Cube B also twice that of Cube A? Explain or show your
reasoning
The side length of Cube B is twice that of Cube A.
The surface area of Cube B is not twice that of Cube A.
The volume of Cube B is not twice that of Cube A.
What is the surface area of a cube?
The surface area of a cube is the total of all of its covered faces. Six times the square of the cube's side length is the formula for surface area.
Here, we have
Given: Two larger cubes are made out of unit cubes. Cube A is 2 by 2 by 2. Cube B is 4 by 4 by 4. The side length of Cube B is twice that of Cube A.
Cube A is 2×2×2.
Cube B is 4×4×4.
The side length of Cube A is 2 and the side length of Cube B is 4. So, the side length of Cube B is twice that of Cube A.
The surface area of a cube is
Area = 6(side)²
Using this formula we get
Area of cube A = 6(2)² = 24
Area of cube B = 6(4)² = 96
96 is 4 times 24.
Hence, the surface area of Cube B is not twice that of Cube A.
The volume of a cube is
Volume = (side)³
Using this formula we get
The volume of cube A = (2)³ = 8
The volume of cube B = (4)³ = 64
64 is 8 times 8.
Hence, the volume of Cube B is not twice that of Cube A.
To learn more about the surface area of a cube from the given link
https://brainly.com/question/28776132
#SPJ1
plese help
plese
plese
Find the distance between the points (-3, -6) and (1, -2).
Answer: -3 - 1 = -4
Your Answer I think is -4 Hope This helps If I'm Wrong I apoligize.
The number of patients who reported that a new drug had relieved their pain. discrete or continuous?
Answer:
Continuously
Step-by-step explanation:
Continuously
A punter kicks a football into the air. The pathway of the football can be represented by the equation h=-16t^2+82t (where t= time in seconds and h= height in feet.) what was the maximum height of the ball and what time was the maximum height reached?
Answer:64
Step-by-step explanation:
Answer:
2fiftguvvbbhb to the following ad listing has ended on the same to ensure everyone I r
Solve for y x = 3y - 24
Answer:
y = 1/3x + 8
Step-by-step explanation:
Step 1:
x = 3y - 24 Equation
Step 2:
x + 24 = 3y Add 24 on both sides
Step 3:
1/3x + 8 = y Divide
Answer:
y = 1/3x + 8
Hope This Helps :)
How to find the value of x
Write a fraction that is equal to 5
Answer:
5/1
Step-by-step explanation:
2/3 divided by 2 1/2
Step-by-step explanation:
Step 1: Multiply to get the lowest common denominator
Step 2: reciprocate thw second fraction(flipping the values)
Step 3: Cancel out values.
I need help with 10 please!!!!!!!
From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)
That means cut ( b ) and ( d ) choice, they both are wrong.
Now look at ( a ) and ( c ).
For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2). f(x) = -2x is just slope and intercepts y-axis at (0,0)
So the answer is ( c )
4. The value of a copy machine is $8500 when it is purchased. After two years its value is $7475. What is its value after 8 years?
Answer:
3375 is the answer.
Step-by-step explanation: 8500- 1025=7475
so 1025 is every to years so we need to subtract 7475-1025-1025-1025-1025 so each 1025 is 2 yrs.
I hope this works :)
PLEASE PLEASE PLEASE HRLP ME Write the equation of a line in slope intercept form that has a slope of 2/9 and has a Y intercept of 2
Answer:
y=2/9x+2
Step-by-step explanation:
Answer:
y = [tex]\frac{2}{9}[/tex] x + 2
Step-by-step explanation:
Slope intersept form is y = mx +b
Y-intersept (b) is 2
Slope (m) is [tex]\frac{2}{9}[/tex]
Plug the slope(m) and Y-intersept (b) into y = mx +b : y = [tex]\frac{2}{9}[/tex] x + 2
x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution
here x+3y=13
x=13-3y.....1st equation
-3x+2y=27......2nd euation
now putting the value of x from equation 1st in 2nd we will get
-3(13-3y)+2y=27
-49+9y+2y=27
11y=27+49
y=76÷11
y=6.9
now again putting the value of y in equation 1st we get
x=13-3×6.9
x=13-20.7
x=7.7
i’m slow , can i get help on this asap please ?
Salvador is 15 years older than Elizabeth. In 6 years, the sum of their ages will be 87. How old are they now?
please include and explantation
Answer:
????
Step-by-step explanation:
Consider random samples of size 900 from a population with proportion 0.65 . Find the standard error of the distribution of sample proportions.
Answer:
The value is [tex]\sigma_{p} = 0.022[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 900
The population proportion is [tex]p = 0.65[/tex]
Generally the standard error of the distribution of sample proportion is mathematically represented as
[tex]\sigma_{p} = \sqrt{\frac{ p(1 - p)}{ n} }[/tex]
=> [tex]\sigma_{p} = \sqrt{\frac{ 0.65 (1 - 0.65 )}{ 900} }[/tex]
=> [tex]\sigma_{p} = 0.022[/tex]
What is the inverse of the statement below?
XY
A. y X
B. 2X
C. yx
O
o
D. Xy
9514 1404 393
Answer:
B. ¬x ⇒ ¬y
Step-by-step explanation:
The inverse negates both the antecedent and the conclusion, leaving them in the same relationship with the implication arrow.
Help me answer this its due in like 3mins!! ILL GIVE YOU A BRAILLEST
Answer:
0.15 or 3/20
Step-by-step explanation:
Answer:
3/20
Step-by-step explanation:
9/10 = 0.9
0.9/6 = 0.15
0.15 = 3/20
10. The table below shows the sales for a flower company for the years 2007 through 2012. Answer the given questions about
this table on your answer sheet.
14 -
A) Graph the data on the scatter plot and draw a line of best fit for the data.
FLOWER SALES
$420
Sales
$395
Year
(in
thousands)
Sales in
$370
2007 $305
thousands)
2008
$345
$330
2009
$345
$330
2010
$370
$305
2007 2008 2009 2010 2011 2012
2011
$395
2012
$420
year
B) Write an equation for the line of best fit for this data.
Let x represent the years since 2007 and y represent the
sales, in thousands of dollars.
C) According to your equation, in what year will the
sales reach about $500 (in thousands)? Use
mathematics to explain how you determined your
answer
Which of the following is a biconditional statement?
Question 17 options:
A)
If x ≠ 5 then x2 ≠ 25
B)
If x2 = 25, then x = 5 or x = –5
C)
x = 5 if x2 = 25
D)
x = 5 if and only if x + 5 = 10
It is D
I just took the test and got it right
The biconditional statement is x = 5 if and only if x + 5 = 10.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Biconditional statement.
This means,
The statement and its converse are both true.
Now,
x = 5 if and only if x + 5 = 10
This shows that both the statement and its converse are true.
Thus,
x = 5 if and only if x + 5 = 10 is a biconditional statement.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Which type of structure means the sales people are only paid when they make sales?
A. Straight salary
B. Salary plus bonus
C. Salary only
D. Commission only
Answer:
D
Step-by-step explanation:
commission is what you get when you make sales
Answer:
D. Commission only
I hope this helps!
In ΔHIJ, i = 53 cm, ∠I=120° and ∠J=30°. Find the length of j, to the nearest 10th of a centimeter.
Answer:
30.6
Step-by-step explanation:
The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. The length of the side j is 30.6 cm.
What is Sine rule?The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]
where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
Given the length of i is 53 cm, while the measure of the ∠I is 120°. Also, the measure of ∠J is 30°. Therefore, the length of the side j is,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}\\\\\dfrac{Sin\ I}{i} =\dfrac{Sin\ J}{j} \\\\\dfrac{Sin\ 120^o}{53} =\dfrac{Sin\ 30^o}{j} \\\\j = \dfrac{Sin\ 30^o \times 53}{Sin\ 120^o}\\\\j = 30.5995 \approx 30.6\rm\ cm[/tex]
Hence, the length of the side j is 30.6 cm.
Learn more about Sine Rule:
https://brainly.com/question/17289163
#SPJ2