Please help

A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares,

svp [43]

Answer:

✅The table can be represented by the equation, $y = 4x + 4$

✅The relation is a function.

✅The graph of the function is linear.

Step-by-step explanation:

✍️The first statement: The table can be represented by the equation, $y = 4x + 4$ .

To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).

Using two pairs, (1, 8) and (2, 12),

Slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4$ .

Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

Plug in the values of b and m into y = mx + b.

Thus, the equation that represents the table would be:

$y = 4x + 4$ .

✅Therefore, the first statement is correct.

✍️The second statement: The graph of the function is non-linear.

This is NOT TRUE because the equation of the function, $y = 4x + 4$ , represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.

✍️The Third statement: The relation is a function.

This is TRUE because each input value (x-value) has exactly one output value (y-value).

✍️The Fourth statement: The rate of change is NOT constant.

This standby is NOT TRUE.

The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.

Therefore, this statement is not correct.

✍️The Fifth statement: The graph of the function is linear.

This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.

5 0

3 years ago

Write the equation of the line in fully simplified slope-intercept form.

Alona [7]

Y=3/1x+-1 hope this is correct

5 0

3 years ago

Supplemental Activities - Ch 1

Deffense [45]

x $\geq$ -9; x $\leq$ 6 or in interval notation [-9,6]

To find out what are the steps in solving the below inequality:

Given equation is 2x - 3 > 15

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

−15≤2x-3≤15

First, subtract 3 from each segment of the system of equations to isolate the x term while keeping the system balanced:

−15−3≤2x-3−3≤15−3

−18≤2x-6≤12

Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:

$-\frac{18}{2}\leq \frac{2x}{2} \leq \frac{12}{2}$

-9 $\leq$ x $\leq$ 6

or

x $\geq$ -9; x $\leq$ 6

or in interval notation [-9,6]

on the horizontal axis.

The lines will be a solid line because the inequality operators contain "or equal to" clauses.

We will shade between the lines to show the interval:

Hence the steps to solve an inequality has been show

To learn more about inequalities click here brainly.com/question/24372553

#SPJ9

8 0

2 years ago

the coordinates of three of the vertices of a parallelogram are given. Find the possible coordinates for the fourth vertex. L (0

frosja888 [35]

Answer:

Step-by-step explanation:

Given Coordinates of three vertices of the parallelogram L(0,4), M(6,0), N(2,4).

Corresponding to each vertex, there are three possibilities of having a fourth vertex

Coordinates of fourth vertex opposite to L is given by

(x,y)

(6+2−0,0+4−4)=(8,0)

Coordinates of fourth vertex opposite to M is given by

(x,y)=(0+2−6,4+4−0)=(−4,8)

Coordinates of fourth vertex opposite to N is given by

(x,y)=(0+6−2,4+0−4)=(4,0)

Therefore, the possible coordinates of the fourth vertex are

(8,0);(−4,8) and(4,0)

7 0

4 years ago

6. Ray Rodriguez will be eligible for retirement benefits in 72 months. How many years remain before Ray

Aloiza [94]

6 calandre years hope y get it correct and mark me brainliest plsssss

6 0

3 years ago