NEED THE ANSWER ASAP

A linear function is given by the equation y=4x. Using the points x and x+1, show that the y-values increase by 4 between any tw

GrogVix [38]

Answer:

$x_2 - x_1 = 1$ gives $y_2 - y_1 = 4$

Step-by-step explanation:

Given

$y = 4x$

$(x_1,x_2) = (x,x+1)$

Required

Show that the y values increases by 4 for $x_2 - x_1 = 1$

We have:

$y = 4x$

For $x_1 = x$

$y_1 = 4x_1$

Substitute $x_1 = x$

$y_1 = 4x$

For $x_2 = x + 1$

$y_2 = 4x_2$

Substitute $x_2 = x + 1$

$y_2 = 4(x+1)$

$y_2 = 4x+4$

So, we have:

$y_2 = 4x+4$

$y_1 = 4x$

Subtract $y_1$ from $y_2$

$y_2 - y_1 = 4x + 4 - 4x$

Collect like terms

$y_2 - y_1 = 4x - 4x+ 4$

$y_2 - y_1 = 4$

Hence:

$x_2 - x_1 = 1$ gives $y_2 - y_1 = 4$

i.e. an increment of 4

5 0

3 years ago

a researcher found a study relating the distance a driver can see, y, to the age of the driver, x. when researchers looked at th

amm1812

The two conclusions drawn can be

a)About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.

b.) The correlation coefficient, r, is -0.736.

The coefficient of determination is denoted as the percent of the variance in the dependent variable that is predictable from the independent variable.

Given, r² = 0.542

That means 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.

Also, r = √0.542 = ±0.736 , where r determines the correlation coefficient.

As driver;s age increases the distance he can see decreases, so there is a negative correlation between them.

So r= -736.

Hence, The correlation coefficient, r, is -0.736.

The two conclusions drawn can be

a)About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.

b.) The correlation coefficient, r, is -0.736.

To learn more about coefficient of determination refer here

brainly.com/question/17237825

#SPJ4

6 0

1 year ago

HELP FAST PLEASE HURRY I NEED IT TO BE RIGHT

drek231 [11]

Answer:

{x + 4y = 8

{5x + 5y = 10

Step-by-step explanation:

Just add everything like it said, and you will arrive at your answer.

I am joyous to assist you anytime.

5 0

3 years ago

A show is on Friday, Saturday and Sunday

Gwar [14]

Answer:

270 tickets are sold for the Sunday show.

Step-by-step explanation:

Given:

Two-fifth of the total tickets are sold for the Saturday show.

Tickets sold for the Saturday show = 240

Three times as many tickets are sold for the Sunday show as for the Friday show. This means that tickets sold for Sunday show is three times that for Friday.

Let the tickets sold for Friday show be 'x'. Therefore, tickets sold for the Sunday show is given as 3 times of 'x' = $3x$