y = -3(x - 6)
y = -3x + 18
3x + y = 18
Derivative using direct definition of derivative 2-x/2+x
Let f(x) = (2 - x)/(2 + x). By definition of the derivative,
[tex]\displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}h[/tex]
[tex]\displaystyle f'(x)=\lim_{h\to0}\frac{\frac{2-(x+h)}{2+(x+h)}-\frac{2-x}{2+x}}h[/tex]
[tex]\displaystyle f'(x)=\lim_{h\to0}\frac{\frac{(2-x-h)(2+x)-(2-x)(2+x+h)}{(2+x+h)(2+x)}}h[/tex]
[tex]\displaystyle f'(x)=\lim_{h\to0}\frac{-4h}{h(2+x+h)(2+x)}[/tex]
[tex]\displaystyle f'(x)=-4\lim_{h\to0}\frac1{(2+x+h)(2+x)}=\boxed{-\frac4{(2+x)^2}}[/tex]
In 120 spins, about how often can you expect to get a number less than 6?
Answer:
is is 35
Step-by-step explanation:
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HELP PLEASE!!!!
Which expression is equivalent to:
1.2y +4.5 -3.4y - 6.3?
5.5y - 10.2
-2.2y - 1.8
4.6y - 1.8
-2.2y + 11.1
Answer:
-2.2y-1.8
Step-by-step explanation:
1.2y+4.5-3.4y-6.3
1.2y-3.4y+4.5-6.3
-2.2y+4.5-6.3
-2.2y-1.8
Directions: Encircle the letter of the correct answer.
1. What do you call the distance around a cirde?
A. area
B. perimeter
C. circumference
volume
2. Jenny made a circular veil has a radius of 4 decimeters. How many decimeters of lace
trimmings were needed to put around the veil?
A. 8 decimeters
B. 16 decimeters
C. 12 decimeters
D. 25.12 decimeters
3. The circular based statue in the middle of a fountain City Hall Park has a diameter of 9
meters. If the City Mayor would like to put decorative ribbon around it, how much ribbon is
needed?
A. 18 meters
B. 28.26 meters
C. 27 meters
D. 81 meters
4. Mr. Cruz planted santan in his circular garden with a diameter of 8 meter. What is the
circumference of his garden?
A. 16 meters
B. 25.12 meters
C. 24 meters
D. 64 meters
5. Robert's mother is making a pot holder with a diameter of 7 meters. How many meters of
lace she needs to decorate around the pot holder?
A. 14 meters
B. 21.98 meters
C. 21 meters
D. 49 meters
Answer:
Step-by-step explanation:
1.C. circumference
2.D. 25.12 decimeters
Solution
C=2πr=2·π·4≈25.13274
3.B. 28.26 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·9≈28.27433m
4.B. 25.12 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·8≈25.13274m
5.B. 21.98 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·7≈21.99115m
If f(x) = 2x - 1 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3
Answer:
f(g(-3)) = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2x - 1
g(x) = 2x + 1
x = -3
Step 2: Evaluate
Substitute in x: f(g(-3))Substitute in x [Function g(x)]: g(-3) = 2(-3) + 1Multiply: g(-3) = -6 + 1Add: g(-3) = -5Rewrite: f(-5)Substitute in x [Function f(x)]: f(-5) = 2(-5) - 1Multiply: f(-5) = -10 - 1Subtract: f(-5) = -11The hundred students took a survey. They were asked, "What is your favorite kind of sandwich?" Turkey was chosen by 25% of the
students.
What number of students chose turkey?
O A 5
B. 50
Ο Ο
ООО
C. 100
D. 175
E 500
Answer:
Step-by-step explanation:
Answer:
its A because 25% is equal to 25 out of a hundred
Step-by-step explanation:
A man just bought 2 suits, 9 shirts, and 11 ties. All of these suits, shirts, and ties coordinate with each other. If he is to randomly select one suit, one shirt, and one tie to wear on a certain day, how many different outcomes (selections) are possible
Answer: 198 ways
Step-by-step explanation:
Given
A man has 2 suit, 9 shirts, and 11 ties available to select one suit, one shirt, and one tie.
No of ways of selecting 1 suit out of 2 is [tex]^2C_1[/tex]
No of ways of selecting 1 shirt out of 9 are [tex]^9C_1[/tex]
No of ways of selecting 1 tie out of 11 are [tex]^{11}C_1[/tex]
total no of ways of required ways are
[tex]\Rightarrow ^2C_1\times 9C_1\times ^{11}C_1=2\times 9\times 11\\\Rightarrow 198[/tex]
If you place a 35-foot ladder against the top of a 31-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
4ft
Step-by-step explanation:
The bottom of the ladder will be 16.25 feet from the bottom of the building.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
As per the situation, we create a right triangle as shown.
Let x be the distance from the bottom of the building to the bottom of the ladder.
Using Pythagoras's theorem, then, we have:
x² + 31² = 35²
Simplifying this equation, we get:
x² = 35² - 31²
x² = 264
x = 16.25 (rounded to the nearest tenth of a foot).
Therefore, the bottom of the ladder will be 16.25 feet from the bottom of the building.
Learn more about Pythagoras's theorem here:
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The Histogram is a graphic which is: A. Bar Chart useful for showing the distribution of data B. 80-20 principle C. A complex timeline D. A simple history
Answer: Flow Chart. B - Fishbone Diagram. C - Scatterplot. D - 80-20 principle; used to identify the ... The Histogram is a graphic which is: A - Bar Chart useful for showing the distribution of data. B. 80-20 principle. C. A complex timeline. D. A simple history
Step-by-step explanation: Hope this helped :)
C is a circle with radius r. Which of the following is true?
Select all that apply
A. The diameter of C is 2r
B.the circumference of C is pi*r
C: the circumference of C is 2pi*r
D. One quarter of the circle has length (pi*r)/4
E. One quarter of the circle has length(pi*r)/2
Answer:
A and C and E are correct
Step-by-step explanation:
Circumference is 2 * pi* r
Two angles are complementary. mZT is (3x + 17)° and mZW is 19°
Solve for x and for mZT.
Answer:
x = 18
mZT = 71º
Step-by-step explanation:
Complementary angles total 90º
(3x + 17) + 19 = 90
Subtract 19 from both sides
3x + 17 = 71
mZT = 71º
Subtract 17 from both sides
3x = 54
Divide both sides by 3
x = 18
Q 16 Two numbers are in the ratio 3 : 17. If the first is 6, what is the other?
Ops: A.
w
O 51
B.
O 68
C.
0 42
5723
D.
O 34
Answer:
D 34
Step-by-step explanation:
i hope you understand
If x= -3, which of the following values is positive? x3, x2, 2x or 1/x
Plssss answer
If c is a positive real number, then the graph of
f(x – c) is the graph of y = f(x) shifted to the right
c units.
Horizontal Shifts
If c is a positive real
number, then the
graph of f(x + c) is
the graph of y = f(x)
shifted to the left
Given:
If a graph is shifted a units to the left then it becomes
Here, the graph is shifted 1 unit to the left . On taking a=1, we get graph
Using formula , we get
Using formula , we get
Using distributive property over multiplication i.e , we get
Therefore,
Answer:
If x= -3 then x^2 will be positive.
Step-by-step explanation:
we can choose the option by putting x= -3 on each option to see which of them will get us positive value..
x^3 = (-3)×(-3)×(-3) = -27
x^2= (-3)×(-3) = 9
2x = 2 × (-3) = -6
1/x = -1/3
Thus from the values above we can see that the If x= -3 then x^2 will be positive.
click here to know more about the power of x.
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Identify the translation of the figure with the vertices P(2,3), Q(−1,0), and R(1,−2), along the vector ⟨4,0⟩.
P ′(3, 6), Q ′(3, 0), R ′(5, −2)
P ′(6, 3), Q ′(3, 0), R ′(5, −2)
P ′(3, 6), Q ′(5, 0), R ′(−2, 5)
P ′(6, 3), Q ′(5, 2), R ′(2, −5)
9514 1404 393
Answer:
B. P ′(6, 3), Q ′(3, 0), R ′(5, −2)
Step-by-step explanation:
The translation vector tells you that 4 is added to each x-coordinate.
(x, y) ⇒ (x, y) +(4, 0) = (x +4, y)
Then ...
P(2, 3) ⇒ P'(2+4, 3) = P'(6, 3) . . . . . matches B or D
Q(-1, 0) ⇒ Q'(-1+4, 0) = Q'(3, 0) . . . . . matches choice B
Check
R(1, -2) ⇒ R'(1 +4, -2) = R'(5, -2) . . . . . also matches choice B
Which statement is NOT true?
All squares are rhombuses.
All rhombuses are parallelograms.
The diagonals bisect each other in squares, rhombuses, and rectangles.
The diagonals are perpendicular in squares, rhombuses, and rectangles.
Answer:
D
Step-by-step explanation:
Rectangles haven’t perpendicular diagonals
Your current job offers a pension that is calculated by multiplying the
number of years worked by the average salary of your last three years times
1.36%. If you plan on retiring after 25 years, calculate your annual pension if
your last three year salaries were $86,966, $88,666, and $90,628.
Can someone plz plz plz help will give u brainlest
how do you find 25% of 92
Answer:
23
Step-by-step explanation:
I need this answer today pls it is important pls help me out i will give you a crown and good ratings if you get it write
Help pleaseeeeeeeeeeee
Answer:
I think its 302 cubic feet
Suppose George walks I mile every 20 minutes. How many
feet further can he walk in 1 hour at this new rate?
Answer:
forgot so I have been eating much of my friends are for sure what pic and send you a few weeks I have been a bit but we are not what pic my wife is to inform that
A golden rectangle has a length of 5 cm. Find the area of the rectangle to the nearest square centimeter.
A. 9 square centimeters
B. 25 square centimeters
C. 17 square centimeters
D. 13 square centimeters
E. 15 square centimeters
Answer:
Option B is correct one
B. 25 square centimeters
If you are helped with my answer pls tag me brianliest I really want it... Plzz
THANK you...
The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L × W square units
A golden rectangle has a length of 5 cm. Then the width of the rectangle is given as,
W = 5 - 2
W = 3 cm
Then the area of the rectangle will be given as,
A = 5 x 3
A = 15 square centimeters
The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.
More about the area of the rectangle link is given below.
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In BCD, the measure of
Answer:
is this yr new questions but still it's blank
stay safe healthy and happy.A die is rolled one thousand times. The percentage of aces should be around ____ or so. the first step iin computing this problem should be
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]Box \ average =\frac{1}{6} \\\\SD = \frac{1}{6} \times \frac{5}{6} = \frac{5}{36} \approx 0.373\\\\Expected \ value= 1000 \times \frac{1}{6} \approx 166.7\\\\SE = 1000 \times 0.373 \approx 11.8\\\\[/tex]
The total number of aces is approximately 167, 12 or more. The SE is 12 out of 1000, which is 1.2 percent.
The percentage of aces is expected to be around 16.67% , or 1.2%.
What is the greatest common factor of 2x3x5x7 and 2x2x3x5x7?
Answer:
are these exponents or numbers?
Step-by-step explanation:
solve z^3=27 it's a complex number
Answer:
z³=27
³√z³=³√27
z=3
Step-by-step explanation:
z³=27
³√z³=³√27
z=3
Answer:
the answer is 3
if you want the answer with complex number the Answer will be (-3i⁶)
because (-3)³ equal -27
and (i⁶)³ its i¹⁸ and the same time its i² so its -1
Since an instant replay system for tennis was introduced a a major tournament, men challenged 1390 referee calls, with the result that 411 of the calls were overturned. Women challenged 753 referee calls, and 213 of the calls were overturned. Use a .05 significance level to test the claim that men and women have equal success in challenging calls.
Required:
a. Test the claim using a hypothesis test.
b. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test?
c. What is the conclusion based on the hypothesis test?
Answer:
H0: μm − μw = 0
against the claim
Ha: μm − μw ≠ 0
Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μm − μw = 0
against the claim
Ha: μm − μw ≠ 0
2) The significance level is set at 0.05
3) The critical region is z > + 1.96 and z< -1.96
4) The test statistic
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
Here p1= 411/ 1390= 0.2956 and p2= 213/753=0.2829
pc = 411+ 213/1390+753
pc=624/2143
pc= 0.2912
qc= 1-pc= 1-0.2912=0.7088
5) Calculations
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
z= 0.2956-0.2829/√ 0.2912*0.7088( 1/1390+ 1/753)
z= 0.0127/ √0.2064 (0.00204)
z= 0.0127/0.02056
z= 0.6177
6) Conclusion
Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.
which of the following represents the equality for the sum of 11 and Y is greater than -33
Answer:
11+y > -33
Step-by-step explanation:
Answer:
You wrote
"Which of the following" Meaning there's should be options present.
But Going with the statement...
The sum of 11 and y is greater than -33
I'd say
11 + y > -33.
An accessories store sells $8 custom socks and $11 custom hats. If 11 items were sold on Monday, and the
total sales were $100, how many socks were sold?
Answer:
7 socks were sold
Step-by-step explanation:
7*8=56
11-7=4
4×11=44
56+44=100
This proves the answer of 7 to be correct
suzanne babysits to earn extra money. she charges $15 for each hour that she babysits. What represents the independent variable in this situation?
A. The total amount charged for babysitting
B. The rate she us paid per hour
C. The number of hours she babysits
D. The number of children she babysits
Answer:
C. The number of hours she babysits
Step-by-step explanation:
In this situation, the number of hours she babysits is the independent variable.
This is because it will directly influence the amount of money that she earns, which is the dependent variable.
For example, working for 1 hour will earn her $15.
So, the correct answer is C. The number of hours she babysits