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3 years ago

What expression is equivalent to -1/3(6x+15)-3

Mathematics

1 answer:

Anna11 [10]3 years ago

5 0

Answer:

$\large\boxed{-\dfrac{1}{3}(6x+15)-3=-2x-8}$

Step-by-step explanation:

$-\dfrac{1}{3}(6x+15)-3\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=\left(-\dfrac{1}{3}\right)(6x)+\left(-\dfrac{1}{3}\right)(15)-3\\\\=-2x-5-3\\\\=-2x-8$

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On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte

34kurt

Answer:

$y = (x+4)^{2}+6$

Step-by-step explanation:

The parabola with vertex at point (h,k) is described by the following model:

$y - k = C\cdot (x-h)^{2}$

The equation which satisfies the conditions described above:

$y - 6 = (x+4)^{2}$

$y = (x+4)^{2}+6$

The two points are evaluated herein:

x = -6

$y =(-6+4)^{2}+6$

$y = (-2)^{2}+6$

$y = 4 + 6$

$y = 10$

x = -2

$y = (-2+4)^{2}+6$

$y = 2^{2} + 6$

$y = 4 + 6$

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The equation of the translated function is $y = (x+4)^{2}+6$ .

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3 years ago

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In a lab, a substance was heated by 48 Degrees Celsius over a period of 8 hours at a constant rate. what was the change in tempe

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Answer: The change in temperature each hour was 6 degrees celsius.

Step-by-step explanation: 48 divided by 8 = 6

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2 years ago

Two consecutive odd integers have a sum of -152. What are the two integers?

ZanzabumX [31]

Answer:

-75 and -77

Step-by-step explanation:

This can be wrote as $n+n+2=-152$ . Combine like terms and subtract 2 from both sides to get $2n=-154$ . Divide by two to get $n=-77$ and then add two to get -75.

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3 years ago

Which table represents the same linear relationship as y = 3x - 2?

Trava [24]

Answer:

Table 4 represents the same linear expression as y = 3 x - 2.

Step-by-step explanation:

Here, the given expression is y = 3 x -2

So now check the any random pair of each table by putting in the given equation.

TABLE 1 : (2,-5)

y = 3x -2 ⇒ -5 = 3(2) -2

or, -5 = -4 , NOT POSSIBLE

TABLE 2 : (0,3)

y = 3x -2 ⇒ 3 = 3(0) -2

or, 3 = -2 , NOT POSSIBLE

TABLE 3 : (1,2)

y = 3x -2 ⇒ 2 = 3(1) -2

or, 2 = 1 , NOT POSSIBLE

TABLE 4 : (1,1)

y = 3x -2 ⇒ 1 = 3(1) -2

or, 1 = 1 , POSSIBLE

checking for (2,4)

4 = 3(2) - 2 ⇒4 = 4 POSSIBLE

Here, table 4 satisfies the given points in the expression y = 3x -2

Hence, it represents the same linear expression .

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3 years ago

Which equation represents the line that passes through the points (2,5) and (1,3)?

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Answer:

The answer is C i think

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