Substitute 1 for x in each of your equations.

f(x)=7-3x
which is
f(1)=7-3(1)
=3
Do the same for g(x)
g(x)=3x-7
which is
g(1)=3(1)-7
=-4

Then subtract g(x) from f(x):
3-(-4)
=7

:)

6 0

3 years ago

Graph the set of points. which model is most appropriate for the set (-6 4) (-4 0) (-3 -2) (-1 -7)

Free_Kalibri [48]

Answer:

The linear regression model is $y=-2.19x-8.92$ .

Step-by-step explanation:

The given data points are (-6 4) (-4 0) (-3 -2) (-1 -7). Plot these points on a coordinate plane.

From the graph it is clear that the point are in the form of a straight line, so we need to use the linear regression model.

The general linear regression model is

$y=ax+b$

Using technology we get

$a=-2.1923076923\approx -2.19$

$b=-8.9230769231\approx -8.92$

Put a=-2.19 and b=-8.92 in the above equation.

$y=-2.19x-8.92$

Therefore the linear regression model is $y=-2.19x-8.92$ .

8 0

3 years ago

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of

lora16 [44]

Answer:

The dimension of the sandbox is (2x+1) by (x - 3)

Step-by-step explanation:

It seems the complete question will be:

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of x.

Step-by-step explanation:

From the question, the given expression is 2X^2-5x-3. This can be rewritten as

$2x^{2} -5x-3$

If the area of the sandbox in park is represented by this expression, then the dimensions of the sandbox will be the product of the factors. To determine the factors, we will factorize the given quadratic expression.

Factorizing the expression $2x^{2} -5x-3$ , we get

$2x^{2} -6x+x-3$

$2x(x-3)+1(x-3)$

$(2x+1)(x-3)$

Hence, the dimension of the sandbox is (2x+1) by (x - 3)

6 0

3 years ago

a submarine descends 480 ft and 24 seconds the submarines elevation changes at a constant rate what is the elevation change of t

Vlad1618 [11]

Answer:

The submarine would be 900 below the ocean surface after 12 minutes assuming it started its descent at the surface of the ocean.

Step-by-step explanation:

The formula for distance traveled (in this case the distance a submarine descends) over a period of time is:

⋅

where

is the distance traveled (or descended),

is the rate of travel and

is the time.

In this problem we are told the rate,

is 75 feet per minute. And, we are told the time,

, to calculate for which is 12 minutes.

7 0

2 years ago