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ddd [48]
2 years ago
5

The table represents a linear function. What is the slope of the function?

Mathematics
1 answer:
TEA [102]2 years ago
3 0

Answer:

-4

Step-by-step explanation:

The function is linear; therefore, the slope of the line joining any two points is the same.

We take any two points from the table and compute the slope or  rise/ run between them— let is take points (-4, -2) and (-2, -10).

The slope m of the line joining the points is

m=\dfrac{\Delta y }{\Delta x } =\dfrac{-2-(-10)}{-4-(-2)} \\\\\boxed{m=-4}

The slope of the function is -4.

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Tina was given the function y = x 2+ x – 5. For what x value(s) would y = 15?
ziro4ka [17]

Answer:

the correct answer is 4

Step-by-step explanation:

y = x^2 + x - 5

y = 4^2 + 4 - 5

y= 16 + 4 -5

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2 years ago
A water bottle holds 3 1/3 c of water. A bowl holds 2 1/4 times the amount in the water bottle. How much water does the bowl hol
kodGreya [7K]
First you would put both numbers into improper fractions.

3 1/3 = 10/3 and 2 1/4 = 9/4

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7 0
3 years ago
El señor Antonio Rodríguez compro en efectivo una televisión de plasma de $138,860.00. Le otorgan un descuento de la 20% ¿Cuanto
ella [17]

Answer:

$111,088

Step-by-step explanation:

Paso 1

Encuentra el descuento

Costo de la televisión de plasma = $ 138,860.00

Porcentaje de descuento = 20%

Descuento = 20% × $ 138,860

Descuento = $ 27,772

Paso 2

¿Cuánto pago por la televisión?

Esto se calcula como:

$ 138,860 - $ 27,772

= $ 111,088

Por lo tanto, la cantidad que paga por la televisión es de $ 111,088

7 0
2 years ago
A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,
Alex17521 [72]

Answer:

For least material to be used lengths of square base and sides = 10 units.

Step-by-step explanation:

Let the lengths of the square base and the sides = x feet, x feet and y feet

Area of the square base = x² feet

Volume of the rectangular prism = Area of the square base × Height

                                                      = x²y cubic feet

1000 = x²y

y = \frac{1000}{x^2} -------(1)

Material used in the prism = Surface area of the rectangular prism

                                            = 2(lb + bh + hl)

Here, h =  height of the prism

l = length of the base

w = Width of the base

Material to be used (S) = 2(xy + x² + xy) - Area of lid

                                  S = 2(x² + 2xy) - x²

                                  S = x² + 2xy

Now by substituting the value of y from equation (1),

S = x² + 2x(\frac{1000}{x^{2} })

  = x² + \frac{2000}{x}

For least amount of material used,

We will find the derivative of the given function and equate it to zero.

S' = 2x - \frac{2000}{x^{2} }

2x - \frac{2000}{x^{2} } = 0

2x³ = 2000

x³ = 1000

x = 10 feet

From equation (1),

y = \frac{1000}{(10)^2}

y = 10 feet

Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.

7 0
3 years ago
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