Derivative Functions
The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.
Definition:
let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists:
[tex]f'(x)= \lim_\\ \ \\ \frac{f(x+h)-f(x)}{h} {h \to 0}[/tex]
help me figure this out.
Answer:
30; -5 is 5 units away from 0 and V is 25 units away from 0, and 5 + 25 = 30.
Step-by-step explanation:
To find the distance between point T, which has a value of -5, and V, which has a value of 25, we should find the absolute value of each number and then add those numbers together.
So, the absolute value of -5 is 5 and the absolute value of 25 is 25. 25 + 5 = 30, and this is the length of TV.
If you have any further questions or need clarification on anything, let me know!
Simplify:
3 square root 216/343
Answer:
answer is .........6/7....
Answer: 6/7
Step-by-step explanation:
Question below..................
f(x) = 732
g(x) = 3x + 2
Find
(1) (a). Include any restrictions on the domain.
, 3 > 0
OA () (x) = 0 + 0
B. (4) (z) = 2, 3
c. (4) (x) = x +
OD. () () + -1
Answer:
Option DStep-by-step explanation:
Given:
[tex]f(x) = \sqrt[3]{3x}[/tex][tex]g(x)=3x+2[/tex]Find (f/g)(x):
[tex](f/g)(x)=f(x)/g(x)=\sqrt[3]{3x}/(3x+2)[/tex]The restriction is, the denominator can't be zero:
3x + 2 ≠ 0 ⇒ 3x ≠ -2 ⇒ x ≠ -2/3Correct choice is D
Whats the answer? ( BRANLIEST )
Answer:
14/2 i think
Step-by-step explanation:
A store owner had nine employees and bought nine hundred fifty-one uniforms for them. If he wanted to give each employee the same number of uniforms, how many more should he buy so he doesn’t have any extra?
Answer:
105
Step-by-step explanation:
Divide 951 by 9
Four hundred dollars is deposited into an account that compounds interest quarterly. After 10 quarters the account balance is $441.85. Determine the nominal interest paid on the account?
Answer:
Step-by-step explanation:
(41.85:400)*100%=....
Rocco loves making spaghetti with his grandmother. They make homemade tomato sauce by adding pureed tomatoes, sugar, salt, olive oil, and water. He notices that after he stops stirring, he sees a greasy film at the top of the red liquid. What does this tell you about his sauce mixture?
Oil floats on water because it is less dense I believe. So that would be the oil on top of the sauce(the oil is on top because of the water that was also added).
Kristen babysits 38 hours a week for $6.80 per hour. She earns an additional $224.00 in tips . How much did she make in 1 week?
Answer:
$502.40
Step-by-step explanation:
Kristen works 38 hours for $6.80 per hour.
We multiply her pay and the hours she worked:
38 × 6.8 = 258.4
Thus, she makes $258.40/week
Now we add her tips, which would be the equation 258.4 + 224
258.4 + 224 = 502.4
So, she made $502.40 in 1 week
Summary
Rita solved a linear equation in one variable and got How many solutions does it's equation have?
How do you know?
Answer:
i!^dkk
Step-by-step explanation:
more than
Answer:
4 or less
Step-by-step explanation:
because that's how many it has
Evaluate the expression ab2 + 2ab + a2 for a = 6 and b = 3.
a) 128
b) 126
c) 130
c) 124
Answer:
I believe there is an error with the problem
Step-by-step explanation:
3*6*2 + 2*6*3 + 6*2 = 36+36+12 = 84
The answer of the expression ab² + 2ab + a² for a = 6 and b = 3 will be 126 so option (b) will be correct.
What is an expression?
A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression
ab² + 2ab + a²
Now,
a = 6 and b= 3
So,
⇒ 6(3)² + 2(6)(3) + 6²
⇒ 36 + 54 + 36
⇒ 126
Hence "The answer of the expression ab² + 2ab + a² for a = 6 and b = 3 will be 126".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ5
Write 5288 as a product of its prime factors
Answer:677
Step-by-step explanation i dont know
3. For the pair of polynomials given, select all points of intersection.
f(x) = (x + 7)(x – 5)
g(x) = x-5
a. (-8, -13)
b. (-7,0)
C. (-5, -10)
d. (-6, -11)
e. (5,0)
Answer:
-6, -11 and 5, 0
Step-by-step explanation:
Graphing calculators can help you a lot with this type of Algebra. I suggest GeoGebra.org
A jewelry store bought a gold necklace and marked it up 110% from the original cost of $23.52. Later on, Dean purchased the gold necklace and paid 14.75% sales tax. How much, including tax, did he pay for the gold
necklace?
9514 1404 393
Answer:
$56.68
Step-by-step explanation:
The final price is ...
(cost price) × (1 +110%) × (1 +14.75%) = (cost price)×2.10×1.1475
= $23.52×2.40975 ≈ $56.68
Dean paid $56.68 for the necklace.
A line passes through the point (−3,−10) , and it’s perpendicular to the line y=0 . Find an equation for this line.
Answer:
Step-by-step explanation:
y = 0 is actually the x axis.
All the points on the line you want have an x value of - 3
-3,-10 is actually one of those points
The equation you want is x = - 3
Please show the work. 5256÷52, 5624÷46, 756÷36, 2760÷12. It's a lot to do, so I'm making this 40 points.
a
1
=
3
and
a
n
=
a
n
−
1
−
1
a
1
=3 and a
n
=a
n−1
−1
Answer:????????
Step-by-step explanation:?
solve pls brainliest
Here it should be this
a) 300
b) 1732
Hi everyone, God bless you all, I need help on this, Select each correct answer, thx.
Answer:
answer is the first one (all trapezoids are quadrilaterals)
Step-by-step explanation:
Which graph and equation shows a proportional relationship between and y? NEED HELP ASAP!!!
Answer:
y = 0.45x
Step-by-step explanation:
proportional relationships must pass through the point 0,0
both the x and y intercepts must equal 0
A duck is 2 feet below the surface of a pond. If its position can be recorded as −2 feet, what would the position of 0 represent?
A 2 feet below water
B 2 feet above water
C The bottom of the pond
D On the surface of the pond
Answer:
0 will be the right answer
Step-by-step explanation:
so im guessing either 2 feet below or the bottom of the pond
Solve the system of equations by using substitution.
6r + 7s = –1
2r + 4s = –12
1) (–4, –8)
2) (–8, –4)
3) (–7, 8)
4) (8, –7)
Answer:
r = 8 and
s = -7
Step-by-step explanation:
(2r + 4s = - 12)/2 =
r +2s = -6
r = -2s - 6
Substitution:
6 (-2s -6) + 7s = -1
-12s - 36 + 7s = -1
-5s = 36-1
s = 35/-5
s = -7
6r + 7(-7) = -1
6r - 49 = -1
6r = 49-1
r = 48/6
r = 8
what are the coefficient in the expression 8a+b+9
Answer:
8 is the coefficient
Step-by-step explanation:
The definition of coefficient is:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
2.
HELP PLEASE. which equation describes a line parallel to line g that has a y-intercept at (0, -1)
Answer:
Line C is parallel to the given line.
Step-by-step explanation:
The given graph slopes down, and thus has a negative slope: m = -1/2.
Of the possible choices, only C has this slope: y = (-1/2)x + b. The y-intercepts b and (0, 6) need not be the same, as the quality of parallelness is all that we care about here.
Explain the three different ways of writing a ratio and provide an example
Answer: The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6."
Step-by-step explanation:
you can write ratios as 3/6 , 3 to 6, or 3:6
Fishing Hook G is let down 2 times its present depth. Where is Fishing Hook G?
Answer:
[tex]2g[/tex]
Step-by-step explanation:
In other words, this problem is asking where Fishing Hook G is after it's 2 times deeper. Let g = its previous depth. We do 2 * g = 2g.
What is the equation of a line parallel to y= -1/2x+6 that passes through (-4, 1)?
d. What is the number sentence?
Answer:
Combination of numbers and mathematical operations that children are often required to solve
Subtract the linear expressions.
(−7.6x+7.4)−(3.5x+6.5)
What is the difference?
Enter your answer in the box.
Step-by-step explanation:
-7.6x+7.4-3.5x-6.5
-7.6x-3.5x+7.4-6.5
-11.1x+0.9
(6-9d4)-(3d4+4) polynomials
Answer:
2(1 - 6d⁴)
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
Identify
(6 - 9d⁴) - (3d⁴ + 4)
Step 2: Simplify
(Parenthesis) Distribute negative: 6 - 9d⁴ - 3d⁴ - 4Combine like terms: 2 - 12d⁴Factor: 2(1 - 6d⁴)