Answers
Step-by-step explanation:
part A
all listed features (A - F) are correct and to be selected.
part B
the average rate of change is
(f(x2) - f(x1)) / (x2 - x1)
so,
(f(0) - f(-2)) / (0 - -2) = (2 - 0) / (0 + 2) = 2/2 = 1
Related Questions
Round 0.1 to the nearest whole number.
Answers
0.1 rounded to the nearest whole number = 0
Overnight the low temperature dropped to-6 degrees Fahrenheit. If the temperature during the was 11 degrees Fahrenheit, what was the difference between the high and low temperatures?
Answers
Answer:
17 degrees F
Step-by-step explanation:
11 - (-6) = 17
Subtracting a negative is the same as adding.
Some information about a direct variation is given in the table below. If the equation
of this direct variation is y = kx , find the coefficient k and fill in the missing
information.
Answers
Answer:
Step-by-step explanation:
y = kx ;
k = [tex]\frac{y}{x}[/tex] ; x = [tex]\frac{y}{k}[/tex]
~~~~~~~~~~~~~
k = [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]
[tex]y_{1}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 8 ) = - 4
[tex]y_{2}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 4 ) = - 2
[tex]y_{3}[/tex] = [tex]\frac{1}{2}[/tex] × 2 = 1
[tex]x_{5}[/tex] = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]x_{6}[/tex] = - [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{2}[/tex]
[tex]x_{7}[/tex] = 0
( x , y ) : ( - 8 , - 4 ), ( - 4 , - 2 ), ( 2 , 1 ), ( 1 , [tex]\frac{1}{2}[/tex] ), ( [tex]\frac{2}{3}[/tex] , [tex]\frac{1}{3}[/tex] ), ( - [tex]\frac{1}{2}[/tex] , - [tex]\frac{1}{4}[/tex] ), ( 0 , 0 )
a student answered 86% of the questions on a test correctly. he received a grade of 98%. how many questions were on the test?
Answers
Let the number of questions on the test equal X which would be 100%
They answered 86 which equaled 98
Set up a ratio:
X/86 = 100/98
Cross multiply:
98X = 8600
Divide both sides by 98:
X = 87.75
Round to 87 questions
when the area of a circle is increasing twice as fast as the radius, the radius is given by
Answers
Answer:
r = 1/π
Step-by-step explanation:
The area of a circle is given by ...
A = πr²
The rate of change of area is ...
A' = 2πr·r'
We want that rate of change to be twice as fast as the rate of change of radius:
2r' = 2πr·r'
1 = πr . . . . . . divide by 2r'
1/π = r
When the area is changing twice as fast as the radius, the radius is 1/π.
_____
Additional comment
The area and the radius have different units, so their rates of change must be compared numerically. The numerical value will depend on the units used. The radius for a circle whose area is measured in m² will be different than for one whose area is measured in ft².
Help please and thank you
Answers
Answer:
(a) P = 3000·1.15^t
(b) 12,137
Step-by-step explanation:
(a)The equation gets filled in so it looks like ...
P = (initial amount) × (1 +growth rate)^t
where t is in units compatible with the growth rate.
P = 3000·1.15^t
__
(b)Midnight is 10 hours later than 2 p.m., so the quantity will be ...
P = 3000·1.15^10 ≈ 3000·4.045558 ≈ 12,137
There will be 12,137 bacteria at midnight.
A mosquito flies at a speed of 40.2 meters per minute.
At this rate, how many meters can it fly in 5 minutes?
PLZ HELP
Answers
Answer:
201
Step-by-step explanation:
40.2*5=201
201 meters per minute
Help please, 9th grade math.
Answers
Answer:
table k
Step-by-step explanation:
4:3 ratio
READ THIS, it helps!
24 and 18 (divide each by 3 and you get your 8 and 6)
48 and 36 ( divide both by 6 and you get 8 and 6)
64 and 48 ( you divide 64 by 8 and get 8 and divide 48 by 6 and you get 8)
Answer: Table K
Hope this helps!!
Need help NOW on HS geometry
Answers
Please solve this question
Answers
Answer:
46?
Step-by-step explanation:
23*2=46
Answer:
37.31 cm
Step-by-step explanation:
∡ AB = 180 - 148 = 32° = ∡ DE
∡ CD = 360 - ∡ AE - ∡ AB - ∡ BC - ∡ DE = 360 - 148 - 32 - 87 - 32 =61°
∡ CE = 61 + 32 = 93°
arc length = 2[tex]\pi[/tex]r [tex]\frac{angle}{360}[/tex] = 2×3.14×23×[tex]\frac{93}{360}\\[/tex] = 37.31 cm
The diameter of Mercury is approximately4.9×103 kilometers. The diameter of Saturn is approximately 1.2×105 kilometers. About how many times greater is the diameter of Saturn than the diameter of Mercury?
Answers
Answer: 378.7 kilometers (maybe, I am not sure)
Mercury: 4.9 * 103 = 504.7 kilometers
Saturn: 1.2 * 105 = 126 kilometers.
Why on earth is Mercury's diameter greater than Saturn's -
504.7 - 126 = 378.7 kilometers
Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
Answers
The system of linear inequalities represented by the graph is 2 < x < 3.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The dotted lines represents strictly less than or greater than inequalities.
Inequality 1 represents x > 2 and inequality 2 represents x < 3.
The combined inequality can be represented as 2 < x < 3.
learn more about inequalities here :
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Which rule describes the composition of
transformations that maps AABC to AA"B"C"?
R0, 9000rx-axis(x, y)
Orx-axis Ro, 900(x, y)
RO, 1800 orx - axis(x, y)
Orx-axis Ro, 1800(x, y)
Answers
Answer:
The second one: r x-axis. R 90(x,y)
Step-by-step explanation:
You can see that from ABC to A'B'C', it's rotated a positive 90 degrees. then, from A'B'C' to A"B"C", reflected across x-axis. and when writing the transformation, it goes by last to first. that's why the R 90 comes first.
The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,
⇒ r _ x-axis. R _ 90(x, y)
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
To find the rule which describes the composition of transformations that maps ΔABC to ΔA"B"C".
Now, You can see that from ABC to A'B'C',
it's rotated a positive 90 degrees.
And, Then, from A'B'C' to A"B"C", reflected across x-axis.
Now, when writing the transformation, it goes by last to first. that's why the R 90 comes first.
Thus, The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,
⇒ r _ x-axis. R _ 90(x, y)
Learn more about the transformation visit:
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a statue of abraham lincoln casts a 9-foot shadow at the same time the white house casts 48-foot shadow . if the white house is 70 feet tall , how tall is the statue of abraham lincoln
Answers
Step-by-step explanation:
let's ignore the question, if the statue can cast an isolated shadow based on its location ...
2 objects and their shadows create 2 similar right-angled triangles.
that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.
so,
48 × f = 9
f = 9/48 = 3/16
therefore, the height of the statue is
70 × f = 70 × 3/16 = 210/16 = 13.125 ft
Can someone help me with this plis
Answers
Answer:
it is c
Step-by-step explanation:
A grocery store sells steak for $6.10 per pound. What would be the cost of 2 3/5 lb. of steak?
Answers
Answer:
$15.86
Step-by-step explanation:
Make 2 3/5 improper fraction (5 times 2 and add 3 equals 13)
13/5 times 6.1 ( or 6 1/10 or 61/10)
equals 793/50
divide
answer is 15.86
-453 divided by 15 = (simplest form)
Answers
Answer:
-453/15 = -30.2
Answer:
-30.2 or -30 1/5
Step-by-step explanation:
write the tangent of ∠T as a fraction
Answers
Answer:
[tex]\tan \angle T = \dfrac{SR}{TS} = \dfrac 43[/tex]
Step-by-step explanation:
mr farmer rectangular land measures 2000 meters by 3000 meters. if he walks around the perimeter of his land, how far does he walk
Answers
Answer:
10000 meters
Step-by-step explanation
To find perimeter you add the length of each side of the shape. Since the land is a rectangle there are two pairs that are parrallel, being 2000 and 3000. Making the distance 2000 + 2000 + 3000+ 3000 = 10000
Hope this helps!
Help please!!!!!!!!!!!!!
Answers
Answer:
Hm? Is there meant to be a file, if so I can’t see it. :((
Step-by-step explanation:
is (1, 3) a solution to the system of equations
8x + y = 11
12x + 2y = 18
Answers
Answer:
(1, 3) a solution to the system of equations
8x + y = 11
12x + 2y = 18
Step-by-step explanation:
ay están todos los deberes de la semana pasada gunnorni
Answer:
x=1 and y=3
Step-by-step explanation:
yes x=1 and y=3 is the solution for the equation.just by making y in the first equation subject of the formula and replacing in the second equation.
Give the number and type of solutions of the equation.
Answers
Answer:
B. 2 non-real solutionsStep-by-step explanation:
Compare the left and right side of the given equation in terms of the lines they represent:
x² is a parabola with non-negative value- 3x - 7 is a line with negative slope and negative y-interceptTheir intersection seems not possible. Lets graph and confirm.
See attached below.
It means there are no real solutions. Correct answer choice is B
Is the following statement true or false? If false, replace the bold word to make the statement
true.
A rhombus is an equiangular quadrilateral
Answers
Answer:
replace rhombus with square, or rectangle
Step-by-step explanation:
Which expression would be easier to simplify if you used the commutative
property to change the order of the numbers?
O A. 80 + 20 + (-17)
O B. 2/3 +(-1/3) + 1/5
O C. (–19) + (-10) + 7/8
O D. (-80) + 43+ (-120)
Answers
Answer:
Step-by-step explanation:
THE ANSWER IS A. 80 + 20 + (-17)
Please help me with this question.
Answers
A solid wood cone 12 cm in diameter and 8 cm high sells for $1.19. A second wood cone is 17 cm in diameter and 12 cm high. the fair price for this second cone rounded to the nearest cent, is
a) $2.53,
b) $3.58
c) $5.06
d) $10.75
e) $14.33
Answers
Answer:
Answer is a
Step-by-step explanation:
I think it's "A", im looking for answer as well :(
The total cost for attending the rodeo carnival can be found using the function f(x) = 2.25x + 18, where x is the number of food tickets purchased. If a family
purchases between 4 and 8 food tickets, what is the domain and range of this situation?
Answers
Answer:
domain is {4,5,6,7,8}, range is the other numbers in brackets
Step-by-step explanation:
Can you please help me
Answers
Answer: Attached.
Step-by-step explanation:
Either solve the equations directly, or graph them and look for the point of intersection.
Given that Ax - 4x² + 3x² + 4 = (x² - 2x + 1)(2x² + B) + C(x-1) + D for all values of x, evaluate A, B, C and D. Hence, deduce the remainder when Ar-4x+3x²+4 is divided by 2x² + B.
Answers
SANA MAKATULONG
#CARRYONLEARNING
The formula to convert degrees Fahrenheit to degrees Celsius is: 'C = (5/9) ('F -32). The formula to convert degrees Celsius to degrees Fahrenheit is: 'F = 1.8 ('C) + 32. Using any of these formulas, determine, for what temperature the value of it in degrees Celsius is represented by the same number as its value in degrees Fahrenheit. Show your work. HINT: use either of those two equations, use x for 'C and use x for 'F, and solve it for x. The solution will be the answer to the problem (because the temperature is the same, and its numerical value in degrees Celsius in this case is the same as its number value in degrees Fahrenheit). *
Answers
Step-by-step explanation:
5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32
5×(x - 32) = 9×9/5 × x + 32×9
5×5×(x - 32) = 9×9×x + 32×9×5
25x - 32×25 = 81x + 32×45
32×(-25 - 45) = 56x
4×(-70) = 7x
x = 4×(-10) = -40
-40° is the same temperature in Celsius and in Fahrenheit.