All categories

4 years ago

A ____ is an amount of decrease in price.

Mathematics

2 answers:

crimeas [40]4 years ago

8 0

law of demand hope i helped u

meriva4 years ago

4 0

Answer:

discount

Step-by-step explanation:

You might be interested in

explain how you know that when finding a fractional part of a whole number is the same as multiplying that fraction by a whole n

frosja888 [35]

I know that because my 8th grade math teacher taught us (in 1954)
that when you see the word "of" in a math problem, it almost always
means "times". So part of your question says "... finding a fractional
part times a whole number ...".

7 0

3 years ago

Tan x + tan 2x = 0

choli [55]

stated method in question is wrong!

<u>Step-by-step explanation:</u>

We need to find the general solution of x ! for the equation $tan x + tan 2x = 0$

⇒ $tan x + tan 2x = 0$

⇒ $(tan x + tan 2x)-tan2x = 0-tan2x$

⇒ $tan x = -tan2x$

Now , we know that $tan(\pi -2x) = -tan2x$

⇒ $tan x = -tan2x$

⇒ $tan x = tan(\pi -2x)$

Now , we know that $TanA = TanB \\A=B$

⇒ $tan x = tan(\pi -2x)$

⇒ $x = \pi -2x$

⇒ $3x = \pi$

⇒ $x = \frac{\pi}{3}$ ......(1)

General solution of Tan x is : $x = n\pi + \alpha$ , \

Here , from equation (1) we get $\alpha =\frac{\pi }{3}$ . Hence general solution is :

⇒ $x = n\pi +\frac{\pi }{3}$ .Therefore , stated method in question is wrong!

4 0

3 years ago

The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the li

Viefleur [7K]

Answer:

The equation of the line tangent to the graph of f at x = -1 is $y = 7\cdot x +13$ .

Step-by-step explanation:

From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:

$y = m\cdot x + b$ (1)

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - Intercept, dimensionless.

The slope of the tangent line at $x = -1$ is:

$f'(x) = -3\cdot x +4$ (2)

$f'(-1) = -3\cdot (-1) +4$

$f'(-1) = 7$

If we know that $m = 7$ , $x = -1$ and $y = 6$ , then the intercept of the equation of the line is:

$b = y-m\cdot x$

$b = 6-(7)\cdot (-1)$

$b = 13$

The equation of the line tangent to the graph of f at x = -1 is $y = 7\cdot x +13$ .

3 0

3 years ago

Sarah used 3/4 pound of blueberries to make 1/2 cup of Jam. How many pounds of blueberries would she need for 1 cup of jam

Ymorist [56]

1 / 4 cup of blueberries

5 0

3 years ago

(c). Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria culture at time t (in s

Bezzdna [24]

(i) Since P(t) gives the population of the culture after t seconds, the population after 1 second is

P(1) = 3•1² + 3e¹ + 10 = 13 + 3e ≈ 21.155

In Mathematica, it's convenient to define a function:

P[t_] := 3t^2 + 3E^t + 10

(E is case-sensitive and must be capitalized. Alternatively, you could use Exp[t]. You can also specify that the argument t must be non-negative by entering a condition via P[t_ ;/ t >= 0], but that's not necessary.)

Then just evaluate P[1], or N[P[1]] or N <at symbol> P[1] or P[1] // N to get a numerical result.

(ii) The average rate of change of P(t) over an interval [a, b} is

(P(b) - P(a))/(b - a)

Then the ARoC between t = 2 and t = 6 is

(P(6) - P(2))/(6 - 2) ≈ 321.030

In M,

(P[6] - P[2])/(6 - 2)

and you can also include N just as before.

(iii) You want the instantaneous rate of change of P when t = 60 (since 1 minute = 60 seconds). Differentiate P :

P'(t) = 6t + 3e^t

Evaluate the derivative at t = 60 :

P'(60) = 6•60 + 3e⁶⁰ = 360 + 3e⁶⁰

The approximate value is quite large, so I'll just leave its exact value.

In M, the quickest way would be P'[60], or you can differentiate and replace (via ReplaceAll or /.) t with 60 as in D[P[t], t] /. t -> 60.

5 0

3 years ago