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4 years ago

Which of these tables represents a linear function?

Mathematics

1 answer:

Rama09 [41]4 years ago

8 0

Answer:

the first table

Step-by-step explanation:

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Find the area of a rectangle with length (2x + 3) and width (x - 4). A) 2x2 - 11x - 12 B) 2x2 - 5x + 12 C) 2x2 + 11x + 12 D) 2x2

Zielflug [23.3K]

area of a rectangle = length × width

area = (2x + 3)(x - 4) ( expand using FOIL )

= 2x² - 8x + 3x - 12 = 2x² - 5x - 12 → D

6 0

3 years ago

Mary buys a reel of thread for sewing. There are 10 m of thread on the reel. She uses 210 cm. How much is left on the reel in ce

galben [10]

10meters=1000cm
1000-210=890
Mary has 890 centimeters of thread left on the reel.

5 0

4 years ago

The perimeter of a square is 4 times as great as the length of any of its sides. Determine if the perimeter of a square is propo

Angelina_Jolie [31]

The perimiter is 4 times as great as the lenght of any of its sides means that:

4 * a (perimiter) = 4 * a (4 times any of the sides)

It means that one side is 1/4 of the perimeter:

a = 1/4 * 4a
a = a

Answer: Perimeter is proportional to the side length by Perimeter = 4 * Sides or Side = 1/4 Perimeter.

8 0

3 years ago

Write the equation, in slope-intercept form, of the line passing through the origin and the point $(-4,3)$.

netineya [11]

If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope $m$ . To do that we are going to use the slope formula: $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .
From our two points we can infer that $x_{1}=0$ , $y_{1}=0$ , $x_{2}=-4$ , $y_{2}=3$ . Lets replace those values in the slope formula:
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{3-0}{-4-0}$
$m= \frac{3}{-4}$
$m=- \frac{3}{4}$

Now that we have our slope, we can use the slope-intercept formula:
$y-y_{1}=m(x-x_{1})$
$y-0=- \frac{3}{4} (x-0)$
$y=- \frac{3}{4} x$

We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is $y=- \frac{3}{4} x$ .

8 0

3 years ago

Gary found 72 shells and 40 queens at the beach he wants to give them to some of his friends each friend receive the same number

harkovskaia [24]

Answer:

Step-by-step explanation:

8 0

4 years ago