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3 years ago

What is the rate of change for the linear relationship modeled in the table?

2 answers:

5 0

Since the data represented by the table are linear, then the average rate of change is given by the slope of the line.
We have then:
$m = (y2-y1) / (x2-x1)
$
Substituting values we have:
$m = (9-10) / (1 - (- 1))
$
Rewriting we have:
$m = (-1) / (1 + 1)

 m = -1/2$
Answer:
The average rate of change is given by:
A) -1/2

elena55 [62]3 years ago

4 0

Take any 2 points and find the slope of the line connecting them:

<span>1 9
3 8
9-8 1
slope m is m = ------- = -------- = -1/2
1-3 -2</span>

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The coordinate plane has the following points A=(2, 1), B=(5, 1), C=(7,2), and 1 point

dusya [7]

Answer:

Step-by-step explanation:

Coordinate Plane

The image provided shows the four points given:

A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).

It can be clearly seen the length of CD is just the difference of their x-coordinates:

CD = 7 - 4 = 3

We can also use the formula of the distance.

Given two points C(x,y) and D(w,z), the distance between them is:

$d=\sqrt{(z-y)^2+(w-x)^2}$

$d=\sqrt{(2-2)^2+(7-4)^2}$

$d=\sqrt{0^2+3^2}$

$d=\sqrt{9}$

d = 3

3 0

2 years ago

I WANT SOLUTION AND EXPLANATION ANSWER IS GIVEN AT LAST!!!

Pavel [41]

<h3><u>Question:</u></h3>

The present ages of Ram and Rehman are in the ratio 8:9. After 5 years, the ratio of their ages will be 9:10. Find their present ages.

<h3><u>Statement:</u></h3>

The present ages of Ram and Rehman are in the ratio 8:9. After 5 years, the ratio of their ages will be 9:10.

<h3><u>Solution:</u></h3>

Let the present age of Ram and Rehman be 8x years and 9x years respectively.
After 5 years, their ages will be 9x years and 10 years respectively.
Therefore, by the problem

$\frac{8x + 5}{9x + 5} = \frac{9}{10} \\ = > 10(8x + 5) = 9(9x + 5) \\ = > 80x + 50 = 81x + 45 \\ = > 50 - 45 = 81x - 80x \\ = > x = 5$

So, the present age of Ram = 8x years = (8×5) years = 40 years
The present age of Rehman = 9x years = (9×5) years = 45 years

<h3><u>Answer:</u></h3>

The present ages of Ram and Rehman are 40 years and 45 years respectively.

3 0

2 years ago

Brandy wants to buy a digital camera that costs $300. Suppose she saves $15 each week. In how many weeks will she have enough mo

Sidana [21]

Answer:

20 week

Step-by-step explanation:

4 0

3 years ago

How do I find the value of WQ

Brut [27]

Answer:

WQ = 2.67 to the nearest hundredth.

Step-by-step explanation:

The area of triangle PQX = 1/2 * PX * QX.

The area of the rectangle = 8 * YX .

But YX = 2 PX so its area = 8 *2PX = 16*PX.

We are given that area of PQX is 1/6 of the area of WXYZ, so we have the equation:-

16 PX = 6* 1/2*PX * QX

16 = 3QX

QX = 16/3 = 5.33

Finally WQ = WX - QX

= 8 - 5.33

= 2.67

4 0

3 years ago

HELPPPPPPPPPPPPPPPPWhich statements are true about the ordered pair(-1, -4) and the system of

Anastasy [175]

Answer:

When (-1,-4) is substituted into the second equation, the equation is true.

The ordered pair (-1,-4) is a solution to the system of linear equations.

When (-1,-4) is substituted into the first equation, the equation is true.

Step-by-step explanation:

Given

$x - y = 3$

$7x - y = -3$

Required

What is true about $(x,y) = (-1,-4)$

To do this, we substitute -1 for x and -4 for y in both equations;

For $x - y = 3$

$-1 - (-4) = 3$

$-1 + 4 = 3$

$3 = 3$

<em>Hence: </em> $(-1,-4)$ <em> is true for </em> $x - y = 3$ <em></em>

For $7x - y = -3$

$7(-1) - (-4) = -3$

$-7 +4 = -3$

$-3 = -3$

<em>Hence: </em> $(-1,-4)$ <em> is true for </em> $7x - y = -3$

3 0

2 years ago