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Delvig [45]
3 years ago
6

Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may displ

ay additional information when you click on them. Drag and drop each item into the correct column. Order does not matter.

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

See picture attached

Step-by-step explanation:

The graph of a non-proportional linear relationship is a line that does not cross through the origin. The graph of a proportional linear relationship does.

Given the general expression of a line: y = ax + b, where a and b are constants, if b is equal to zero, the line cross through the origin, otherwise the line inercept y-axis at value of b.

Direct variation means that y = kx, where k is a constant, then is a proportional linear relationship.

Given a cell phone company charges $19.95 per month for the first 2G, then $5 per gig over the initial 2G; the graph is a non-proportional linear relationship because the cost is never zero and the graph  does not cross through the origin.

Given a cell phone company charges $29.95 per month always, then the cost is never zero and the graph  does not cross through the origin.

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You are given a line that has a slope of 4 and passed through the point (3/8, 1/2). Which statements about the question of the l
alexgriva [62]

Answer:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

<u>Statement 1: The y-intercept is -1</u>

<em>Point (3/8, 1/2)</em>

<em>Slope = m = 4</em>

<em>y = mx + c</em>

<em>1/2 = 4(3/8) + c</em>

<em>1/2 = 3/2 + c</em>

<em>1/2 = 3/2 + 2c/2</em>

<em>-2 = 2c</em>

<em>c = -1 </em>

This statement is true as the y-intercept is -1.

<u>Statement 2: The slope intercept equation is y= 4x - 1</u>

<em>slope = m = 4</em>

<em>y-intercept = c = -1</em>

<em>y = mx + c</em>

<em>y = 4x - 1</em>

This statement is true as the slope intercept equation is y= 4x -1

<u>Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)</u>

<em>Point slope equation: y - y1 = m (x - x1)</em>

<em>Points: (x, y) (3/8, 1/2)</em>

<em>y1 = 1/2</em>

<em>x1 = 3/8</em>

<em>Slope = m = 4</em>

<em>y - 1/2 = 4 (x - 3/8)</em>

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

<u>Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation</u>

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

!!

6 0
3 years ago
Graph ​ y+6=45(x+3) ​ using the point and slope given in the equation
il63 [147K]

Step-by-step explanation:

We have been given an equation y+6=45(x+3) in point slope form.

It says to use the point and slope from given equation to create the graph.

So compare equation y+6=45(x+3) with point slope formula

y-y1=m(x-x1)

we see that m=45, x1=-3 and y1=-6

Hence first point is at (-3,-6)

slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).

Now we just graph both points (-3,-6) and  (-2,39) and join them by a straight line. Final graph will look like the attached graph.

7 0
3 years ago
Select all the expressions that are rational numbers.
fredd [130]
..........The answer is D
3 0
3 years ago
Martha has 8 cubic feet ofputting soil in the three flowerpots she wants to put the same amount of soil in each pot how many cub
frozen [14]

Answer:

2\frac{2}{3}\text{ ft}^3\approx 2.67\text{ ft}^3

Step-by-step explanation:

We have been given that Martha has 8 cubic feet of putting soil in the 3 flowerpots. She wants to put the same amount of soil in each pot.

To find the amount of soil in each pot, we need to divide total soil (8 cubic feet) by number of pots (3) as shown below:

\text{Amount of soil in each pot}=\frac{8\text{ ft}^3}{3}

\text{Amount of soil in each pot}=2\frac{2}{3}\text{ ft}^3

\text{Amount of soil in each pot}=2.6666\text{ ft}^3

\text{Amount of soil in each pot}\approx 2.67\text{ ft}^3

Therefore, Martha needs to put approximately 2.67 cubic feet of soil in each flower pot.

8 0
3 years ago
Solve the following equation and determine if it has one solution, no solution, or infinitely many solutions: 3x+1−3(x−1)=4
vaieri [72.5K]

Answer:

1/3  , only one solution

Step-by-step explanation:

3x-1 = 1-3x

3x-1 = -3x+1

6x-1 = 1

6x = 2

x = 1/3

7 0
3 years ago
Read 2 more answers
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