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
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.
The number of patients who reported that a new drug had relieved their pain. discrete or continuous?
Answer:
Continuously
Step-by-step explanation:
Continuously
i’m slow , can i get help on this asap please ?
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 )
Multiply two and four-fifths negative five and two-thirds
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]
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.
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]
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
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.
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.
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 :)
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
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
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:
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
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.
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
Help??????????????????????
Answer:
i think A diagonals
just a guess ok
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
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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
plese help
plese
plese
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:
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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!
How to find the value of x
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 :)
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:
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Write a fraction that is equal to 5
Answer:
5/1
Step-by-step explanation:
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.
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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