The difference quotient for f(x) = 3x2 – 12 is 6x + 3h
How to determine the difference quotient?The function is given as:
f(x) = 3x^2 – 12.
Calculate f(x + h)
f(x + h) = 3(x + h)^2 – 12
The difference quotient is then calculated using:
[tex]f'(x) = \frac{f(x + h) - f(x)}{h}[/tex]
This gives
[tex]f'(x) = \frac{3(x + h)^2 - 12 - 3x^2 + 12}{h}[/tex]
Evaluate the difference
[tex]f'(x) = \frac{3(x + h)^2- 3x^2}{h}[/tex]
Expand
[tex]f'(x) = \frac{3x^2 + 6xh + 3h^2- 3x^2}{h}[/tex]
Evaluate the difference
[tex]f'(x) = \frac{6xh + 3h^2}{h}[/tex]
Evaluate the quotient
f'(x) = 6x + 3h
Hence, the difference quotient for f(x) = 3x2 – 12 is 6x + 3h
Read more about difference quotient at:
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Can someone help me on this problem please (picture above)
Answer:
the value of a is 2.
Step-by-step explanation:
3a - 2 + 5a + 3 + 6a + 1 = 30
14a + 2 = 30
14a = 28
a = 2
What is the value of 19,356 ÷ 59?
Answer:
Approximately 328.067
Step-by-step explanation:
The value of 19,356 ÷ 59 is approximately 328.068.
Full Answer: 328.06779661
If x = 35°, which two lines can be proven parallel?
A) n and d
B) I and m
C) m and o
D n and o
Answer:
n and o
Step-by-step explanation:
Because those 35 and x are corresponding angles and they are lying on line n and o.
Hope this helped!
Find the product of 9 and 748
Answer:
6741
Step-by-step explanation:
I need the answer ASAP
Answer:
i just did this in class a week ago and i think it was option c
Step-by-step explanation:
The formula V=BH/3 shows how to find the volume of a pyramid. SOLVE for B.
A B=3V/H
B) B=3VH
B=3V-H
D B=3V+H
7x(2+5) solve
A.14x+5
B49x
PLS help
Answer:
B. 49x
Step-by-step explanation:
hope this helped!!
PLZ HELP I WILL MARK BRAILNLEIST!! 20. b) Find the side length of the square. [No label is required.] *
1 point
2x + 5 ft
6x – 11 ft
Your answer
This is a required question
Answer:
The length of one side is 13 feet.
Step-by-step explanation:
To start, a square is 4 sides that are equal in length. This means that when you have a problem like this, you need to set the equations equal to each other like:
[tex]2x+5=6x-11[/tex]
In order to solve a problem like this, with the same variables on different sides, start by subtracting the smaller variable from both sides. In this case, you would be subtracting 2x from both sides, which would leave us with:
[tex]5=4x-11[/tex]
After that, you solve it like a normal one-step equation. Add 11 to both sides.
[tex]16=4x[/tex]
Now, divide both sides by 4 and you will know how much [tex]x[/tex] is worth.
[tex]4=x[/tex]
Now that we know how much [tex]x[/tex] is worth, we can plug that into either of the equations given to us. It doesn't matter which since they are equal to each other.
[tex]2(4)+5[/tex]
That would give us 13.
Answer:
the sides are 13
x= 4
Step-by-step explanation:
2x+5 = 6x-11 subtract five from both sides
2x = 6x-16 subtract 6x from both sides
-4x = -16 divide both sides by -4
x = 4 substitute into original problem
2(4) + 5 = 6(4) - 11
8 + 5 = 24 - 11
13 = 13
Angles 1 and 5 are what type of angle pair? *
Answer:
Angle 1 and Angle 5 are corresponding angles
Step-by-step explanation:
Two angles that lie on the same side of the transversal in corresponding positions.
PLZ mark BRAINLIEST
An end behavior model for f(x) = (shown in attachment) is g(x) =
Answer:
2x^4
Step-by-step explanation:
As the magnitude of x gets larger, the absolute value of x gets large
The higher degree terms are going to grow much faster than the lower degree terms, so that is what we need to focus on
The highest degree terms here in the numerator and denominator are 8x^6 and 4x^2, so let's divide the two, and simplify to get our solution;
f(x) = (8x^6) / (4x^2)
= 2x^6 / x^2 = 2x^(6 - 2)
= 2x^4 (solution)
Scott borrowed money from the bank for repairs at an 8% interest rate, At the end of 1 year, he owed a total of $7992 in principal and interest. How much money did he borrow? a) Write the model first b) solve the equation.
Answer:
I = $3,772, P = $8,200, r = ?, t = 4 years
Step-by-step explanation:
just got it right on my quiz
Which of the following functions is graphed below?
Answer:
the answer is b
Step-by-step explanation:
hope this helps love:) i'm doing this rn in algebra..it's a pain!
Determine the amount of potential energy of a 5.0 N book that is moved to three different shelves on a bookcase. The height of each shelf is 1.0m, 1.5m and 2.0m.
Answer:
Ep = weight x height = 5 x 1 = 5N ; 5 x 1.5 = 7.5N; 5 x 2 = 10N
Step-by-step explanation:
Hope that helps
Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence's height in inches, which expression can she use to find the answer? 68.7 minus t StartFraction t Over 68.7 EndFraction StartFraction 68.7 Over t EndFraction t minus 68.7
Answer:
68.7 - t
Step-by-step explanation:
Here, we are interested in giving the expression that Kalinda can use to know the difference in height between her and Terrence
From the question, Kalinda is 68.7 inches tall while Terrence is t inches tall
To know the difference in their heights, we simply subtract Terrence’s height from Kalinda’a
Mathematically, that would be 68.7 - t
Answer:
Its A
Step-by-step explanation:
Can some plz answer this and give explanation? :) How many unit cubes are required to create a larger cube with edge length of 3 units?
Answer: is this what your looking for "A large cube with edge of length 3 units is built from 6 small blue unit cubes and 21 small white unit cubes"
Step-by-step explanation:
Write an equation that represents the number sentence.
One-third the difference between the unknown number and 6, plus one-sixth the unknown number is -1.
Adam's family went out to lunch yesterday and their meal cost $32.85 total.
If they plan to leave a 20% gratuity, how much tip should they leave?
$3.29
O $6.57
O $26:28
$39.42
Answer:
$6.57
Step-by-step explanation:
Answer:
6.57
Step-by-step explanation:
3x+2(5x-3)=7
with steps
Answer: x=1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+2*(5*x-3)-(7)=0
3x + 2 • (5x - 3)) - 7 = 0
Pull out like factors :
13x - 13 = 13 • (x - 1)
13 = 0
A a non-zero constant never equals zero.
Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
Use the figure to find measures of the numbered angles.
Answer:
1 = 137
2 = 43
3 = 43
4 = 137
Step-by-step explanation:
for the first line, do (180-137 = 43)
then, 43 would be corresponding angle to 2 - making them equal
2 would be vertically opposite to 3, making them equal
137 and 1 are corresponding- making them equal
4 is vertically opposite to 1 - making them equal
Sally has saved 41 quarters from washing cars. How many cents does Sally have ?
Answer:
Sally has $10.25 or 1,025 pennies
Step-by-step explanation:
factorize: (2a+b)^3+(a+2b)^3
Answer:
9(a+b) x (a²+ab+b²)
Step-by-step explanation:
expand the brackets collect like terms remove the brackets collect like terms factorise reorder the terms multiplyQuestion 1 options:
m∠A = _____˚
m∠B = _____˚
m∠C = _____˚
m∠X = _____˚
m∠Y = _____˚
m∠Z = _____˚
Segment AB = _____ units
Segment BC = _____ units
Segment AC = _____ units
Segment XY = _____ units
Segment YZ = _____ units
Segment XZ = _____ units
Given:
Two triangles are congruent, i.e., [tex]\Delta ABC\cong \Delta XYZ[/tex].
To find:
All the measures of both triangle.
Solution:
We have,
[tex]\Delta ABC\cong \Delta XYZ[/tex].
We know that, corresponding parts of congruent triangles are congruent (CPCTC).
[tex]\angle A=\angle X[/tex]
[tex]\angle B=\angle Y=90^\circ[/tex]
[tex]\angle C=\angle Z=37^\circ[/tex]
It triangle ABC,
[tex]\angle A+\angle B+\angle C=180^\circ[/tex] (Angle sum property)
[tex]\angle A+90^\circ+37^\circ=180^\circ[/tex]
[tex]\angle A+127^\circ=180^\circ[/tex]
[tex]\angle A=180^\circ -127^\circ[/tex]
[tex]\angle A=53^\circ[/tex]
So,
[tex]\angle A=\angle C=53^\circ[/tex]
[tex]AB=XY=3\text{ units}[/tex]
[tex]BC=YZ=4\text{ units}[/tex]
[tex]AC=XZ=5\text{ units}[/tex]
Therefore, m∠A = 53˚, m∠B =90˚ , m∠C =37˚ , m∠X = 53˚, m∠Y =90˚ , m∠Z =37˚ , Segment AB = 3 units , Segment BC = 4 units , Segment AC = 5 units , Segment XY = 3 units , Segment YZ = 4 units , Segment XZ = 5 units .
Ibai has taken 2/5 out of a barrel of beer, Ane has drawn a third. It expresses in graphic and numerical form: a) The fraction that they have drawn between the two. b) Which of them has gotten the most?
Answer:
7/15
Step-by-step explanation:
2/5 + 1/3 is the same as 2/5 + 5/15.. so we add them together to get 7/15. This can not be simplified further
To know who has gotten most I like to think in percentage terms. 2/5 is the same as 40% (2/5 is the same as 4/10 = 40/100 =40%). 1/3 is 33.33% so Ane got more
Answer:
A. 11/15 B. Ibai.
Step-by-step explanation:
First, find the Least Common Multiple, or LCM, of the denominators, which is 15. Then, multiply each denominator by the number that gets the denominator to 15, which is the LCM. Next, multiply the numerator by the same number you multiplied the denominators, which was 3 for Ibai, and 5 for Ane. Finally, compare the two numbers to see which is higher. In this case, Ibai took out 6/15, while Ane took out 5/15, meaning Ibai took out more than Ane. Also, together, Ibai and Ane both drew out 11/15 together.
0.6 + 0.008 + 0.0007 in standard form?
Answer:
0.0687
Explantion:
0.0007
0.008
0.6 +
____________
0.0687
(b) Factorise fully 9b-3b squared
Answer:
Step-by-step explanation:
b(9-3)
Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.
Answer:
It is
-0.5(3x+5)= -1.5x+2.5
Step-by-step explanation:
-0.5(3x+5)
multiply-0.5 with 3x and 5 to get rid of the brackets.
-0.5×3x= -1.5x
-0.5×5= 2.5
-1.5x+2.5
Answer:
Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
Step-by-step explanation:
Question 8
Identify the hypothesis and conclusion of each conditional statement.
If you take a class in television broadcasting, then you will film a sporting event.
Your answer:
H: If you take a class in television broadcasting, then you will film a sporting event.
C: true
H: If you take a class in television broadcasting, then you will film a sporting event.
C: false
H: you take a class in television broadcasting
C: you will film a sporting event
H: you will film a sporting event:
C: you take a class in television broadcasting
Clear answer
Back
Next
Answer:
third choice of those listed here
Step-by-step explanation:
Match the given statement to the pattern:
if H, then C.
__
If you take a class in television broadcasting, then you will film a sporting event
You should be able to see ...
H: you take a class in television broadcasting
C: you will film a sporting event
what is the value of x in the expression 2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
a. 1
b. 3
c. 4
d. 6
Answer:
b.
Step-by-step explanation:
Compare linear
functions using______ and graphs.
HELPPPPPPP PLEASEEEEE
Answer:
D
Step-by-step explanation:
The constant of proportionality is 8 as seen by the equation:
y = 8x
8 will constantly be multiplied by x (the number of dollars earned) to solve for y (number of tickets sold)
The number 8 will not change
Therefore, 8 is the constant ot proportionality