Given the function g(x)=−x^2+3x, which of the following is the correct limit definition of g′(2)?
Answers
Answer:
solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
0
,
0
)
,
(
−
3
,
0
)
y-intercept(s):
(
0
,
0
)
Step-by-step explanation:
hope it helps make brainlliest ty the
Related Questions
What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units
Answers
Answer:
Distance between A and B = 10.4 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of A = (-5 , 2)
Coordinate of B = (5 , 5)
Find:
Distance between A and B
Computation:
Using distance formula
Distance between two point = √(x1 - x2)² - (y1 - y2)²
Distance between A and B = √(-5 - 5)² - (2 - 5)²
Distance between A and B = √(-10)² - (-3)²
Distance between A and B = √100 + 9
Distance between A and B = √109
Distance between A and B = 10.4403
Distance between A and B = 10.4 unit (Approx.)
Answer:
10.4
Step-by-step explanation:
took the k12 test (:
Suppose that there is a black urn containing nine black balls and three yellow balls and there is a yellow urn containing six black balls and six yellow balls. An experiment consists of selecting at random a ball from the black urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball.
1. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and write that number at the end of the path (4 answers).
2. Find the probability that the second ball is yellow.
Answers
Answer:
See Annex ( Tree diagram )
Step-by-step explanation:
1) Attached
2) Probability of the second ball is yellow is
P(2nd ball is yellow ) = Probability 2nd ball s yellow (if the first one was black) + Probability 2nd ball s yellow (if the first one was Yellow)
P(2nd ball is yellow ) = 0,204 + 0,045
P(2nd ball is yellow ) = 0,249
Calculate the quotient below. Enter your answer in lowest terms, using the
slash mark (/) for the fraction bar.
Answers
Answer: 8/11
Step-by-step explanation:
what is the missing value 4+9=9+?
Answers
Answer:
TᗩKᗴ Tᕼᗴ ᗰIՏՏIᑎᘜ ᐯᗩᒪᑌᗴ ᗩՏ ᙭
[tex]4 + 9 = 9 + x \\ 4 + 9 - 9 = x \\ 4 = x[/tex]
=> ᵗʰᵉ ᵐⁱˢˢⁱⁿᵍ ᵛᵃˡᵘᵉ ⁱˢ 4.
The missing Value is 4.
What is Commutative property?According to the commutative property, the numbers on which we operate can be swapped out or moved without affecting the result. Subtraction and division are not supported by the property, but addition and multiplication are.
Given Expression
4 + 9 = 9 + ?
According to Commutative property
A + B = B + A
for expression
4 + 9 = 9 + 4
or let missing number be x
4 + 9 = 9 + x
x = 4 + 9 - 9
x = 4
Hence the missing value is 4.
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Find the area of the shade region.round to the nearest tenth
Answers
Answer:
189.25
Step-by-step explanation:
first you find the area of the entire circle which is π times (14.5) squared so 210.25π. then you find the triangle which is 1/2 20×21= 21 then subtract 210.25π by 21= 189.25
Answer:
450.5 in²
Step-by-step explanation:
The area of the triangle
= (20×21)/2
= 210 in²
The hypotenuse of the triangle
=[tex] \sqrt{ {20}^{2} + {21}^{2} } [/tex]
=[tex] \sqrt{400 + 441} [/tex]
=[tex] \sqrt{841} [/tex]
= 29 in
The hypotenuse of the triangle (29 in)
= the diameter of the circle
The formula of area of a circle= πr²
The radius of the circle
= 29÷2
= 14.5 in
The area of the circle
= π × 14.5²
= 660.5 in² (rounded to the nearest tenth)
The area of the shaded region
= 660.5 - 210
= 450.5 in²
What expression is equal to 7x(2+3)
Answers
Answer:
14x+21x if thats an option
Step-by-step explanation:
where are the answer choices?
Can you guys help? Another question about writing out an equation of the line shown in the graph
Answers
Answer:
Step-by-step explanation:
What is the value of 12(x + 5)?
Answers
Answer:
12(x+5)=
12x+60=
12x÷12 & 60÷12
x=5
The probability that you randomly select a red marble from a group of 40 marbles is 7/20 . How many are red marbles?
Answers
PLEASE GIVE ME AN ANSWER!!!!ILL MARK BRAINLIEST ANSWER
Answers
Answer:
3 3/4
Step-by-step explanation:
3.75 square ft per hr.
5/8 x 6 = 3.75
I got this question
What is the volume of a rectangular prism with the dimensions
Answers
Para calcular el volumen de un prisma rectangular, multiplica sus 3 dimensiones: longitud x ancho x altura.
The solution to (-3.9) + 1.5 - 6.2 is -8.6.
Quick Nav
True
False
Answers
PLEASE HELP Find x
such that ABC ~ DEF.
Answers
9 divider by 6 is 1.5
15 divided by 10 is also 1.5
A stereo speaker in the shape of a triangular pyramid has a height of 8.25 inches. The area of the base of the speaker is 22 square inches. What is the volume of the speaker in cubic inches?
A. 60.5 in3
B. 181.5 in3
C. 90.75 in3
D. 243 in3
Answers
Answer:
A. 60.5 [tex]in^{3}[/tex]
Step-by-step explanation:
A = 1/3(area of base)(h)
= 1/3(22)(8.25)
= 60.5 [tex]in^{3}[/tex]
Your answer is A
The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?
Answers
Answer:
26600 - 33 = 26566
Step-by-step explanation:
sum
Answer:
17,420
Step-by-step explanation:
you multiply 26,000 by .33 which gets 8,580
then subtract 8,580 from 26000 which is 17420
Choose all values of the correlation coefficient, r, that indicate a strong, but not perfect, linear association between two variables.
A r=-0.85
B. r=-0.10
C. r= 0.15
D. r=0.90
E r= 1.00
Answers
Answer:
D. r = 90
A. r = -0.85
Explaination:
• r = 1 is perfect and strong.
• So r = 90 is strong but not perfect.
• Same with -0.85, but as negative.
-0.85, and 0.90 indicate a strong relationship between the two variables but not a perfect linear association between the two variables option (A) and (D) are correct.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
We have a value of correlation coefficients.
We know when the correlation coefficient r is 1 then we can say the relation between two variables is perfect and strong.
When the value of correlation coefficients lies between 0.8 to 1 the relation between two variables is said to be strong.
Similarly when the value of correlation coefficients lies between -0.8 to -1 the relation between two variables is said to be strong.
For the r = -0.85, this indicates a strong relationship but is not perfect.
For the r = -0.10 this indicates a weak relationship but is not perfect.
For the r = 0.15 this indicates a weak relationship but is not perfect.
For the r = 0.90 this indicates a strong relationship but is not perfect.
For the r = 1 this indicates a strong relationship and perfect.
Thus, -0.85, and 0.90 indicate a strong relationship between the two variables but not a perfect linear association between the two variables option (A) and (D) are correct.
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Determining the sale price of a home is an important task for city assessors, as it helps the city project future tax revenue. Regression models using the physical characteristics of a home to predict the sale price is standard practice for many assessors. A random sample of 724 homes sold in Ames, Iowa, between 2006 and 2010 was obtained to build such a model for the city of Ames. The assessor considered the following variables in their initial model:
Variable Description
LotArea Lot size (in thousands of square feet)
LivingArea Living space (in thousands of square feet)
Bedrooms Number of bedrooms
Rooms Number of rooms
Fireplaces Number of fireplaces
Bath Number of bathrooms
Age Age of the home (in years)
Price Sale price of the home (in thousands of dollars)
Below is the output obtained from the statistical software.
Estimate Std Error t value Pr(>|t|)
(Intercept) 100.55 6.167 16.31 < 0.0001
LotArea 0.99 0.144 6.86 < 0.0001
LivingArea 112.97 5.600 20.17 <0 .0001
Bedrooms −16.35 2.366 −6.91 < 0.0001
Rooms −0.51 1.667 −0.30 0.7613
Fireplaces 12.80 2.206 5.80 < 0.0001
Bat −13.60 3.459 −3.93 < 0.0001
Age−0.96 0.054 −17.86 < 0.0001
Number of Observations Residual Std Error R2 Adjusted R2
724 33.69 0.7686 0.7663
What is the response variable?
a. lot area
b. living area
c. age
d. sale price
What proportion of the variation in sale price does this multiple regression model explain?
a. .3369
b. .7686
c. .7663
d. 0.2314
Answers
Work out the circumference of this circle.
Take it to be 3.142 and give your answer to 1 decimal place.
4 cm
Answers
Answer:
Final Answer 25.12
Step-by-step explanation:
This is very simple you can use two formulas to find the circumfrence of the circle. You can either use C=2πr or C=πd.
For this problem you will be using C=2πr since r is radius and the radius is 4.
C=2*3.14*4
C=6.28*4
C=25.12
Hope this helps.
JKLM is a rectangle. Find the value of x.
Help me fast please
Answers
Answer:
x = 10
Step-by-step explanation:
3x + 38 = 7x - 2
subtract 3x from both sides ogf the equation:
38 = 4x - 2
add 2 to each side:
40 = 4x
divide both sides by 4:
x = 10
a slice of a right square pyramid perpendicular to its base but not through its top vertex
A. Square
B. Trapezoid
Answers
Answer:
This is a trapezoid.
Step-by-step explanation:
What is 11 3/6 rounded to the nearest
Answers
Answer:
12
Step-by-step explanation:
In triangle QRS, what is the approximate measure of angle Q?
OA. 87.7°
O B.93.2°
OC. 96.9°
OD. 45.99
Answers
The approximate measure of angle Q will be 93.2°. Then the correct option is B.
What is law of cosine?Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
In a triangle QRS, the length of QR is 21, the length of RS is 32, and the length of SQ is 23.
Then the approximate measure of angle Q will be given as,
RQ² + SQ² – 2 × SQ × RQ × cos Q = RS²
21² + 23² – 2 × 23 × 21 × cos Q = 32²
441 + 529 – 966 cos Q = 1024
970 – 966 cos Q = 1024
966 cos Q = – 54
cos Q = – 54 / 966
cos Q = – 0.0559
Q = 93.2°
The approximate measure of angle Q will be 93.2°.
Then the correct option is B.
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Can someone explain me this
Answers
Answer:
area of circle - area of hexagon
Step-by-step explanation:
6 cm
4 cm
2 cm
3 cm
What is the area of the polygon?
Answers
Answer:
36 cm^2 is the area
Explanation -->
- first, separate the polygon into two separate ones, horizontally, to make two rectangles
- NOTE : Area = length x width
- 6 times 4 = 24
- 4 times 3 = 12 (self-explanatory, you get 4 by subtracting 6 and 2, as you can see)
- 24 + 12 = 36
-- You get 36 cm^2 --
Hope this helps!! Please mark as Brainliest!
Two workers can finish building a play set in 18 hours. How long will it take 4 workers to build 3 play sets
Answers
Answer:
it will take 4 workers 27 hours to build 3 playsets.
Step-by-step explanation:
Given;
two works to build 1 play set in 18 hours
If a worker works at the same rate, he will finish a playset as follows;
2 worker ---------> 18 hours
1 worker -----------> ?
1 worker = 2 x 18 hours = 36 hours for 1 playset
4 workers will take ³⁶/₄ hours for 1 playset
4 workers --------------> 9 hours for 1 playset
For 3 playsets, 4 workers will take 3 x 9 hours = 27 hours.
Therefore, it will take 4 workers 27 hours to build 3 playsets.
Lisa is building a structure to be used in the school play. The structure is in the shape of a right triangular prism.A sketch is shown.Lisa will paint outside of the entire structure after building it.What is the area Lisa will paint.Be sure to include the units label.
Answers
Answer:
36.6
Step-by-step explanation:
The amount of area Lisa will paint is 288 square inches.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
to determine the area Lisa will paint:
From the question, we have the following parameters that can be used in our computation:
Triangular prisms (1) to (6)
The area Lisa will paint is the literal surface of the shape
Using the above as a guide, we have the following:
Literal Area = (a + b + c) * h
Where
a, b and c = 6, 8 and 10
h = 12
Substitute the known values in the above equation, so, we have the following representation
Literal Area = (6 + 8 + 10) * 12
Evaluate
Literal Area = 288
The above is the literal surface area of the prism
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7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?
Answers
Answer:
8600 litre×235 will be there in the tanks
HELP QUICK!!
if you know that one figure has a greater surface area than another, do you know whether it has a greater volume
Answers
Answer:
Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.
Step-by-step explanation:
The sum of the measures of three
angles is 90°
The measure of angle M is 2x
The measure of angle N is 3x + 8
The measure of angle Q is 7x - 2
What is the value of x?
FOR BRAINLIST!!
Answers
Answer:
A
Step-by-step explanation:
Equation
2x + 3x + 8 + 7x - 2 = 90
Solution
Combine like terms on the left
12x + 6 = 90 Subtract 6 on both sides
12x = 90 - 6
12x = 84 Divide by 12
x = 84/12
x = 7
Triangle PQR has vertices P(−3,4), Q(−8,3), and R(−1,−6). Triangle PQR is dilated by a scale factor of 8 centered at the origin to get triangle P′Q′R′.
What are the coordinates of points P′, Q′, and R′ of the image?
P′(−38,−12), Q′(−1,38), R′(−18,−34)
P′(−3,32), Q′(−8,24), R′(−1,−48)
P′(−24,4), Q′(−64,3), R′(−8,−6)
P′(−24,32), Q′(−64,24), R′(−8,−48)
Answers
Answer:
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Step-by-step explanation:
Vectorially speaking, the dilation of a vector with respect to a given point is defined by the following formula:
[tex]P'(x,y) = O(x,y) + r\cdot [P(x,y)-O(x,y)][/tex], [tex]r > 1[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Dilated point.
[tex]r[/tex] - Scale factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]P(x,y) = (-3, 4)[/tex], [tex]Q(x,y) = (-8,3)[/tex], [tex]R(x,y) = (-1,-6)[/tex] and [tex]r = 8[/tex], then the new coordinates of the triangle are, respectively:
[tex]P'(x,y) = (0,0) + 8\cdot [(-3,4)-(0,0)][/tex]
[tex]P'(x,y) = (-24, 32)[/tex]
[tex]Q'(x,y) = (0,0) + 8\cdot [(-8,3)-(0,0)][/tex]
[tex]Q'(x,y) = (-64, 24)[/tex]
[tex]R'(x,y) = (0,0) + 8\cdot [(-1,-6)-(0,0)][/tex]
[tex]R'(x,y) = (-8,-48)[/tex]
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Answer:
(-24, 32), (-64, 24) and (-8,-48)
Step-by-step explanation: