The graph of g(x) = x2 + 2 is a translation of the
4
graph of f(x)
by
units.
2
DONE
-4
-2
-2
-4
y=x²

Answer:

ROTATION IS THE CORRECT ANSWER!

Step-by-step explanation:

Cuz

Answer:

rotation is correct! :))

Step-by-step explanation:

bc when i clicked rotation, the answer was valid and correct.

At x = 1000 we get the c(1000) = 2000,000. Second statement 'one thousand units have the maximum cost of $200,000' is true.

It is given that the function [tex]\rm c(x)=400x-0.2x^2[/tex] represents the total costs for a company to produce a product, where c is the total cost in dollars and x is the number of units sold.

It is required to find which statement is true, mentioned in the question.

Maxima and minima of a function are the extrema within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

[tex]\rm c(x)=400x-0.2x^2[/tex]

To find the maxima and minima of any function we differentiate the function with respect to [tex]\rm x[/tex] and equate to zero.

[tex]\rm \frac{d \ c(x)}{dx} =\frac{d}{dx} (400x-0.2x^2)[/tex]

[tex]\rm \frac{d \ c(x)}{dx} =\frac{d}{dx} (400x)-\frac{d}{dx} (0.2x^2)\\\rm \frac{d \ c(x)}{dx} =400-(0.2\times2x)\\\rm \frac{d \ c(x)}{dx} =400-0.4x[/tex]

For maxima and minima [tex]\rm \frac{d \ c(x)}{dx} =0[/tex]

[tex]\rm 400-0.4x=0\\\rm x=\frac{400}{0.4} \\\rm x=1000[/tex]

If we find the seconnd differentiate, we get

c''(x) = -0.4 < 0

It means at x = 1000 we will get the maximum value of a function.

[tex]\\\\\rm c(1000) = 400(1000) - 0.2(1000)^2\\\rm c(1000)= 200,000[/tex]

Thus, at x = 1000 we get the c(1000) = 2000,000. Second statement is true.

Know more about the maxima and minima here:

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Answer:

B

Step-by-step explanation:

To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0.                                   C(x) = 400x - 0.2x²                               dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation,                               C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B. 

Answer:

77.4 degrees and 12.6 degrees

Step-by-step explanation:

Let the angles be x and x - 64.8.

Therefore, on the basis of knowledge that complementary angles add up to 90 degrees :

x + x - 64.8 = 90

2x = 154.8

x =  77.4 degrees

x - 64.8 = 77.4 - 64.8 = 12.6 degrees

Answer:

165°

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Answer:

The interest is 4,500

Step-by-step explanation:

We use the simple interest formula,

I = Prt

where

I = interest

P = principal amount = 12,500

r = interest rate = 12% = 0.12

t = time = 3 years

I = Prt

I = 12,500 × 0.12 × 3

I = 4,500

Answer:

Gross Domestic Product (GDP) includes all final goods and services produced within a country, in a specific period and doesn't necessarily include all the transactions that are going in the economy.

For example: Used domestic car buying or selling won't be counted for the GDP of current year, as it was manufactured and sold in 2000.\]Step-by-step explanation:

Let's check one by one

#1

False

#2

True

#3

True

#4

False

Answer:

1/3

Step By Step Explanation:

He has sent 4/12 packages which is reduced to 2/6 which is reduced to 1/3.

Answer:

4c=12

Step-by-step explanation:

In the chart, it shows 12 and 4 c. Since they equal the same thing, the equation is 4c=12.

Answer:

74

Step-by-step explanaction

Formula=multiply the length value by 10

Answer:

Plug in a = x, b = 16, c = 20

Step-by-step explanation:

Answer:

52°

Step-by-step explanation:

complementary angles sum to 90° , then the measure of the other angle is

90° - 38° = 52°

Answer:

y = -12

Step-by-step explanation:

Plug the value of x (-4) into the original equation and solve:

y = 3(-4)

y = -12

I hope it helped you!!

Oof

Answer:

20x

Step-by-step explanation:

First of all, we need to always do the x first. And then subtract it I guess.

25x + (5x – 10)

30x-10

20x

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

m = (280 - 140)/ (4 - 2) = 70

The equation of the line from the graph.

y = 70x

The heart's resting heart rate is 70 beats per minute.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates are from the given graph.

(1, 70), (2, 140), (3, 210), and (4, 280)

Now,

m = (280 - 140)/ (4 - 2) = 140/2 = 70

The equation from the graph can be written as,

y = mx + c

(1, 70) = (x, y)

70 = 70 x 1 + c

c = 70 - 70

c = 0

So,

The equation of the line from the graph.

y = 70x

1 minute = 70 heartbeats.

The heart's resting heart rate is 70 beats per minute.

Thus,

m = (280 - 140)/ (4 - 2) = 140/2 = 70

The equation of the line from the graph.

y = 70x

The heart's resting heart rate is 70 beats per minute.

Learn more about coordinates here:

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Answer:

we find first slope

m=(-5+1)/(0+5)

m=-4/5

y-y1=m(x-x1)

y+ 5=(-4/5)(x-0)

5y+25=-4x

so equation is. 4x+5y+25=0

Answer:

y=[tex]-\frac{4}{5}[/tex]x-5

Step-by-step explanation:

The coordinates (0,-5) tells us the y intercept of the line, which is -5.

To find the equation of the line, we  have to use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex] to find the slope of the line. Plug in the values of the other coordinates (-5,-1) into the equation, which would then leave you with :

m=[tex]\frac{(-1)-(-5)}{(-5)-0}[/tex]

we then solve for m(the slope) and we get:

m=[tex]-\frac{4}{5}[/tex]

so the equation of the line is y=[tex]-\frac{4}{5}[/tex]x-5

Answer:

7

Step-by-step explanation:

63-56 = 7

Answer:Scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form

Step-by-step explanation:

Answer:

(3,-5)

Step-by-step explanation:

4+1=5 put it on negative side makes it -5.

Answer:

C.)0.65($1250)

D.)$1250 – 0.35($1250)

Step-by-step explanation:

O.P (Original Price) $1250

Dc (Discount) 35%  -  *ALL MERCHANDISE*

Question:

Which expressions can be used to find the discounted price of the sound system?

Second Answer:

C & D are the two options that fit the

O.P (Original Price)

&

Dc (Discount)

Answer:

C and D

Step-by-step explanation:

Answer:

no solutions exist

Step-by-step explanation:

You can rewrite the denominator as:

-2(2x-6) so the equation becomes:

[tex]-\frac12 \cdot \frac{2x-6}{2x-6} > 0[/tex]

from which you can see that not only should x ≠ 3, but for all values of x≠3 the equation is false.

Answer:

ED: 6.5 cm BE = 14.4 cm

Step-by-step explanation:

Add 20 and 5 to get side AC.

25/20 gives us the scale factor to go from 25 triangle ABE to triangle ACD.

Multiply 26 by the SF to get AD.

Subtract length of AD by AE to get ED. You should get 6.5 cm (don't forget units!!!!)

To go from triangle ACD to triangle ABE, we can do 20/25 to get the scale factor.

Using that number, multiply it with 18 to get BE.

The answer should be 14.4 cm.

This is possible because the two triangles ACD and ABE are similar via the angle angle angle similarity theorem depicted in my screenshot.

Answer:

ED = 6.5 cm , BE = 14.4 cm

Step-by-step explanation:

Δ ABE and Δ ACD are similar ( by the AA postulate ) then the ratios of corresponding sides are in proportion, that is

(a)

[tex]\frac{AD}{AE}[/tex] = [tex]\frac{AC}{AB}[/tex] ( substitute values )

[tex]\frac{AD}{26}[/tex] = [tex]\frac{25}{20}[/tex] ( cross- multiply )

20 AD = 650 ( divide both sides by 20 )

AD = 32.5

Then

ED = AD - AE = 32.5 - 26 = 6.5 cm

(b)

[tex]\frac{BE}{CD}[/tex] = [tex]\frac{AB}{AC}[/tex] ( substitute values )

[tex]\frac{BE}{18}[/tex] = [tex]\frac{20}{25}[/tex] ( cross- multiply )

25 BE = 360 ( divide both sides by 25 )

BE = 14.4 cm

Answer:

1.5

Step-by-step explanation:

9 times 4 = 36

1.5 times 4 = 6

If x = 9 when y = 36 and x is directly proportional to y, then x will be 1.5, when y = 6.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

We know that

36 / 9 = 6 /x

Cross multiply;

36 · x = 9 · 6

Simplify;

36x = 54

Divide each side by 36;

36x ÷ 36 = 54 ÷ 36

Simplify;

x = 1.5

Learn more about directly inversely proportional;

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Answer:

C C C C C.....is a function

Answer:

2.92%

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Hope this Helps!

Answer: no

I would not flip the inequality symbol

Answer:

I think fractions are smaller than whole numbers

So I think No (viewpoint)

Answer:

264

Step-by-step explanation:

Answer: The Least Common Multiple (LCM) for 3, 8 and 11, notation LCM (3,8,11), is 264 Solution by using the division method This method consists of grouping by separating the numbers that will be decomposed on the right side by commas while on the left side we put the prime numbers that divide any of the numbers on the right side.