Answer?I need it pleaseeee

The graph represents function 1, and the equation represents funtion 2:

horsena [70]

Answer:

8

Step-by-step explanation:

we know that

The rate of change of a linear equation is a constant that is the same that the slope

step 1

we have

The equation of the graph (function 1) is equal to

y=4

Is a horizontal line

The slope is equal to zero

so

The rate of change of function 1 is zero

step 2

The equation of the function 2 is

$y=8x+12$

This is a linear equation in slope intercept form

where

the slope is equal to m=8

so

The rate of change of function 2 is 8

therefore

The rate of change of function 2 is 8 more than the rate of change of function 1

5 0

3 years ago

Can someone help me with this question?

charle [14.2K]

Finding the sol'n to f(x) - g(x) = 0 is the same as finding the solution of f(x)=g(x). You could do this analytically by setting the actual function f(x) = g(x) and solving for x (and then for y), or you could estimate the solution from the given graph. The two lines intersect at approx. x=-3.75, y=2.5.

6 0

3 years ago

What is the solution to the system of equations?<br><br> {y=5x−10y=−3x+14

Dahasolnce [82]

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.

5 0

3 years ago

A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 90% of the time when t

garik1379 [7]

Answer:

a) P[A/B] = 0,019 or P[A/B] = 1,9 %

b) P[A- /B-] = 0,9996 or P[A- /B-] = 99,96 %

Step-by-step explanation:

Bayes Theorem :

P[A/B] = P(A) * P[B/A] / P(B)

The branches of events are as follows

Condition 1 real infection 1/300 and not infection 299/300

Then

1.- 1/300 299/300

When the test is done (virus present) 0,9 (+) 0,15 (-)

2.- 299/300

When the test is done ( no virus ) 0,15 (+) 0,85 (-)

Then:

P(A) = event person infected P(B) = person test positive

a) P[A/B] = P(A) * P[B/A] / P(B)

where P(A) = 1/300 = 0,0033 P[B/A] = 0,9

Then P(A) * P[B/A] = 0,0033*0,9 = 0,00297

P(B) is ( 1/300 )*0,9 + (299/300)*0,15

P(B) = 0,0033*0,9 + 0,9966*0,15 ⇒ P(B) = 0,1524

Finally

P[A/B] = 0,00297 /0,1524

P[A/B] = 0,019 or P[A/B] = 1,9 %

b) Following sames steps:

P[A- /B-] = (299/300) * 0,85 / (299/300) * 0,85 + (1/300 * 0,1)

P[A- /B-] = 0,8471 /0,8474

P[A- /B-] = 0,9996 or P[A- /B-] = 99,96 %

6 0

3 years ago

f(x) = x2 – 3x – 2 is shifted 4 units right. The result is g(x). What is g(x)?g(x) = (x + 4)2 – 3x – 2 B. g(x) = (x + 4)2 – 3(x

arlik [135]

Hello from MrBillDoesMath!

Answer:

Choice C

Discussion:

We interrupt this Question by a special commercial announcement..... Consider the simpler case of f(x) = x^2. If we shifted this curve 4 units to the right, then the point x is mapped to x-4. (f(0) = 0 on the original curve; now f(x-4) = 0 when x =4. So shifting to the right replaces x by x-4.) Now back to our regular TV programming....

Shifting f(x) = x^2 -3x - 2 four units to the right produces

g(x) = f(x-4) = (x-4)^2 -3(x-4) -2

This is choice C.

Thank you,

MrB

7 0

3 years ago