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storchak [24]
3 years ago
10

Letters A and B represent a question graph shown below

Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Hi Andres,

----------------------------------------

Coordinates:

(6,12) and (3,21)

----------------------------------------

Slope:

Formula: \frac{y2 - y1}{x2 - x1}

Solution: \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3

Slope: -3

----------------------------------------

Compute the y intercept:

Use: y = mx + b

y = (-3)x + b

12 = (-3) x 6 + b

----------------------------------------

Isolate b:

(-3) x 6 + b = 12

-3 x 6 + b = 12

-18 + b = 12

b = 30

----------------------------------------

Slope Intercept Form:

Follow y = mx + b

m = slope

b = y intercept

Answer: y = -3x + 30

----------------------------------------

Point Intercept Form:

Formula: y - y1 = m(x - x1)

m = slope

y1 and x1 = first coordinate set.

m = -3

y1 = 12

x1 = 6

Answer: y - 12 = -3(x - 6)

----------------------------------------

Part B:

Approximately for every day he spends delivering he spends a 2.1 minutes on it per day. Well, the reason I say this is because on the chart it says he spends 10 days. When you multiply 10 and 2.1 you get 21!

----------------------------------------

Hope This Helps :)

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The graph of F(x) shown below resembles the graph of G(x) = x4, but it has
DerKrebs [107]

Using translation concepts, the equation of F(x) is:

A. F(x) = \frac{1}{3}x^4 - 2

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

G(x) = x^4

For function F(x), we have that:

  • It was shifted down 2 units, hence F(x) = G(x) - 2.
  • It was vertically compressed by a factor of 3, hence F(x) = \frac{1}{3}G(x) - 2

Then the equation is:

A. F(x) = \frac{1}{3}x^4 - 2

More can be learned about translation concepts at brainly.com/question/28098112

#SPJ1

3 0
1 year ago
PLEASE HELP ME ASAP!!!
Leokris [45]

Answer:

m(x)= 0 when X= 3

Step-by-step explanation:

2*3=6

6-6=0

For (2x-6)

3-4=-1

So -1*0=0

it can also be look at like this (0,-1)

7 0
3 years ago
According to ​Lambert's law​, the intensity of light from a single source on a flat surface at point P is given by Upper L equal
malfutka [58]

Answer:

(a) L = k*(1 - sin^{2}(\theta))        

(b) L reaches its maximum value when θ = 0 because cos²(0) = 1

Step-by-step explanation:

Lambert's Law is given by:

L = k*cos^{2}(\theta)   (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

cos^{2}(\theta) + sin^{2}(\theta) = 1

cos^{2}(\theta) = 1 - sin^{2}(\theta)  (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

L = k*(1 - sin^{2}(\theta))        

(b) When θ = 0, we have:

L = k*cos^{2}(\theta) = k*cos^{2}(0) = k  

We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

5 0
3 years ago
Read 2 more answers
HELP PLSS !!! Will mark as brainiest
Natasha_Volkova [10]

Answer:

1709.92cm^3

Step-by-step explanation:

V=\pi r^2h=\pi *3^2*7=197.92cm^2 (cylinder)

V=whl=14*9*12=1512cm^3(rectangular prism)

197.92+1512=1709.92cm^3(whole shape)

5 0
2 years ago
A scientist is growing bacteria in a lab for study. One particular type of bacteria grows at a rate of y=2t^2+3t+500. A differen
Leya [2.2K]

ANSWER

Approximately after 15 minutes.

EXPLANATION

The growth rate of the first bacteria is

y = 2 {t}^{2}   + 3t + 500

The growth rate of the first bacteria :

y = 3 {t}^{2}  + t + 300

To find the time that, there will be an equal number of bacteria, we equate the two equation;

3 {t}^{2}  + t + 300 = 2 {t}^{2}   + 3t + 500

3 {t}^{2}  - 2 {t}^{2}   + t  - 3t +  300 - 500 =00

{t}^{2}  - 2t  - 200= 0

We solve for t to get,

t = 15.177

Or

t =  - 13.177

We discard the negative value.

This implies that,

t \approx15

8 0
3 years ago
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