Answers
Answer:
a) 45/4
b) 3
c) 12
d) 24
e) no; rate of change varies
Step-by-step explanation:
The average rate of change on interval [a, b] is given by ...
m = (f(b) -f(a))/(b -a)
The function values are read from the table.
__
a) m = (f(4) -f(0))/(4 -0) = (48 -3)/(4 -0) = 45/4
b) m = (f(1) -f(0))/(1 -0) = (6 -3)/(1 -0) = 3
c) m = (f(3) -f(2))/(3 -2) = (24 -12)/(3 -2) = 12
d) m = (f(4) -f(3))/(4 -3) = (48 -24)/(4 -3) = 24
e) Not a linear function. The rate of change is not constant.
Related Questions
How do I solve this?
Answers
Answer: A: 3x^2y^(3/2)
Step-by-step explanation:
This can be written as
(81*x^8*y^6)^(1/4)
Then multiply each exponent by (1/4):
81^(1/4)*x^(8(1/4))y^6(1/4))
81^(1/4) = 3
x^(8(1/4)) = x^2
y^6(1/4)) = y^(3/2)
The result: 3x^2y^(3/2)
Solve for x.
1/3 x+4=-2/3 x+12
Answers
Answer:
x = 8
Step-by-step explanation:
1. Group all x terms on the left side of the equation
1/3· x+4=-2/3·x+12
Add 2/3x to both sides:
1/3x+4+2/3·x=-2/3x+12+2/3·x
Group like terms:
1/3·x+2/3·x+4=-2/3·x+12+2/3·x
Combine the fractions:
1+2/3·x+4=-2/3·x+12+2/3·x
Combine the numerators:
3/3·x+4=-2/3·x+12+2/3·x
Find the greatest common factor of the numerator and denominator:
1·3/1·3·x+4=-2/3·x+12+2/3·x
Factor out and cancel the greatest common factor:
1x+4=-2/3·x+12+2/3·x
Simplify the left side:
x+4=-2/3·x+12+2/3·x
Group like terms:
x+4=-2/3·x+2/3·x+12
Combine the fractions:
x+4=-2+2/3·x+12
Combine the numerators:
x+4=0/3·x+12
Reduce the zero numerator:
x+4=0x+12
Simplify the arithmetic:
x+4=12
2. Group all constants on the right side of the equation
Subtract 4 from both sides:
x+4-4=12-4
Simplify the arithmetic:
x=12-4
Simplify the arithmetic:
x=8
Answer:
x=8
Step-by-step explanation:
1/3x +4= -2/3 +12
Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4
Simplify: 1/3x = 2/3x + 8
Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x
Simplify: x=8
Write the formula for the volume of a rectangular solid of length " l, " width " w, " and height " h. " Write the variable equation/write formula using the variables
Select one:
V=lwh
V= (lw)/h
V=(hl)/w
V=(hw)/l
Answers
V = lwh
can someone please help with math?!
Answers
The formula for slope is rise over run
In this case the rise would be Positive three because the points went from -2 to positive one. And the run would be 5 because it goes from -1 to 4
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning from them:)
What is the equation of the line with a y-intercept of -10 and a slope of 7?
Answers
Answer:
do it got a picture
Step-by-step explanation:
y=mx+b
y=slope(x)+y-intercept
can someone explain to me what this means
Answers
Answer:
2*2*2*3*5
Step-by-step explanation:
It is saying that 120 is the same as 24*5, and that 24* 5 is the same as 5 *2*12, which is that same as 5*2*3*4, which is then the same as 5*2*3*2*2.
Answer:
2 x 2 x 2 x 3 x 5
Step-by-step explanation:
d) | Is side-side-angle a congruence rule? Is angle-side-side
a congruence rule? Explain.
Answers
Answer:
Look at step-by-step explanation
Step-by-step explanation:
Side-side-angle is not a congruence rule because a side cannot be in between an angle and a side. Angle-side-side is the same thing, a side cannot be in between an angle and a side.
Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th grade Geometry).
Answers
A=50
B=50
C=58
M=130
HELP PLEASE
Use the value of the discriminant to determine the number and type of roots for the equation,
X^2 = 4x - 4
A. 2 real, irrational roots
B. 1 real, rational root
C. 2 complex roots
D. 2 real, rational roots
Answers
We are given –
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² = 4x -4[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² -4x +4 = 0[/tex]
Where, a = 1 ; b = -4 ; c = 4Let's find it's discriminant.
We know –
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Discriminant = b² - 4ac}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = (-4)² - 4 \times 1 \times 4[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = 16-16[/tex]
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf Discriminant =0 }[/tex]
If Δ (Discriminant) >0here are two separate real roots.If Δ (Discriminant) =0, there are two identical real roots.If Δ (Discriminant) <0, there are no real roots, but there are two complex roots.As we got –
Δ Discriminant is 0 that means , there are two identical real roots. Henceforth, Option (D) 2 real, rational roots – is correct.Find the area of the figure.
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
At first Divide the figure into two rectangles, I and Il
Area of figure l is ~
[tex] \sf24 \times (40 - 30)[/tex][tex] \sf24 \times 10[/tex][tex] \sf240 \: \: ft {}^{2} [/tex]Area of figure ll is ~
[tex] \sf 18 \times 30[/tex][tex] \sf540 \: ft{}^{2} [/tex]Area of whole figure = Area ( l + ll )
that is equal to ~
[tex] \sf240 + 540[/tex][tex] \sf780 \: \: ft{}^{2} [/tex]will mark brainliest
Answers
Answer:
K (-1,-1)
Step-by-step explanation:
Find the equation of the line with slope of 2 passing through (3,1)
please
Answers
Solve the following equations. 2x - 7 = 11
help me please it's urgent
Answers
Answer:
X=9
Step-by-step explanation:
2x-7=11
Add 7 each side
2x - 7 +7 =11 + 7
2x=18
Divide by 2 each side
2x/2=18/2
x=9
Answer:
x = 9
Step-by-step explanation:
2x - 7 = 11
Add 7 to both sides: 2x = 18
Divide by 2: x = 9
The oblique prism below has an isosceles right triangle base.
An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2).
What expression represents the volume of the prism, in cubic units?
One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2
Answers
The volume of the prism, in cubic units is 1/2x³ + x²
The volume of the oblique prism is given as:
V = Base area * Height
Given the following
Height = x + 2Base area = area of the triangleBase area = 1/2 (x*x)
Base area = 1/2 x²
Get the volume of the prism;
Volume of the prism = 1/2(x²)(x+2)
Volume of the prism = 1/2(x³+2x²)
Volume of the prism = 1/2x³ + 1/2(2x²)
Volume of the prism = 1/2x³ + x²
Hence the volume of the prism, in cubic units is 1/2x³ + x²
Learn more on the volume of prism here: https://brainly.com/question/23963432
Answer:
1/2x³ + x²
Step-by-step explanation:
edg
What time is three to one in the morning
Answers
a triangle with side 9,10and 11 has the same perimeter as a square with sides of length
Answers
Answer:
7.5.
Step-by-step explanation:
A square has 4 equal sides so:
4x = 9 + 10 + 11 where x is the length of one side of the square.
4x = 30
x = 7.5.
i need help no links
Answers
hope it help you and good luck
If Y varies directly with x , and y=15 when x=3 write the direct linear variation equation
Answers
Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation
Answers
Answer:
4^n-1
Step-by-step explanation:
So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)
Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items
In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).
Applying "ar^n-1 " we get,
1*4^n-1 which is , 4^n-1
Thats the formula which represents the situation....
geometry - please help
solve for x & y
Answers
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 14 cm cube is built from small cubes, each 2 cm on an edge. Compare the edge lengths of the two cubes.
9:1
7:1
8:1
10:1
Answers
Answer:
7:1
Step-by-step explanation:
will give brainliest plz help
Answers
There are 32oz for the full week, all you have to do is divide that by 7 to find the average for each day :)
How would four billion, nineteen million, three hundred thirty-seven thousand, two be written in standard form?
Answers
on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?
Answers
Answer:
35 degrees.
Step-by-step explanation:
Answer:
35 degrees
Step-by-step explanation:
27 - 35 = -8
PLEASE HELP whoever answers all of them and first i’m giving brainliest.
Answers
Answer:
1. To solve a one-variable equation, it may be necessary to first multiply by using the Distributive Property
2. The next step is to combine like terms as needed.
3. Then solve for the variable by applying inverse operations.
4. If solving lead to a true equation, then the equation has infinitely many solutions.
5. if solving leads to an untrue equation, then the equation has no solution.
Please answer this question with step by step method.
Answers
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
(9(4x-1))/2x = 15
simplify the 9(4x-1) = 36x-9
(36x-9)/2x = 15
multiply both sides by 2x to take out the fraction
36x-9 = 15(2x)
36x-9 = 30x
subtract by 30x on both sides, and add 9 on both sides
36x-9-30x = 0
36x-30x = 9
6x = 9
x = 9/6 = 3/2 or 1.5
What is the degree measure of the angle formed by the hands of a clock at 7:30 PM?
Answers
The round off value of 38.23 to the nearest whole number is?
Answers
Answer:
38
Step-by-step explanation:
38.23 is closest to 28, because neither the .2 or .03 is high enough to round the last whole number up
Answer:
Rounding 38.23 to the nearest whole number would be 38
Step-by-step explanation:
Rounding 38.23 to the nearest whole number would be 38 because the extra 0.23 is less than 0.50
If it was 0.50, the answer would go up to 39.
maths question algebra
Answers
Answer:
x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]
Step-by-step explanation:
5x² - 3y = 4y + 8 ( add 3y to both sides )
5x² = 7y + 8 ( divide both sides by 5 )
x² = [tex]\frac{7y+8}{5}[/tex] ( take square root of both sides )
x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]
Which statement is not used to prove that triangle ABC is similar to triangle ADC?
Answers
Answer:
what are the statements we pick from?
Step-by-step explanation:
most likely look out for angles and lengths that go against the established ratio