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Artemon [7]
3 years ago
5

The sum of four consecutive integers is equal to three times the smallest number. What is the sum of the four integers?

Mathematics
2 answers:
Anastasy [175]3 years ago
7 0

Answer:

-18

Step-by-step explanation:

Georgia [21]3 years ago
7 0

Answer:

-18

Step-by-step explanation:

Let the four consecutive integers be x, (x + 1), (x + 2) & (x + 3)

Smallest integer = x

According to the given condition:

x + (x + 1) + (x + 2) + (x + 3) = 3x \\  \\ 4x + 6 = 3x \\  \\ 4x - 3x =  - 6 \\  \\ x =  - 6 \\  \\ Sum\: of\: the\:integers \\=4x + 6 = 4( - 6) + 6 \\  \\  =  - 24 + 6 \\  \\  =  - 18

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Answer:

y + 4 = 5(x - 3)

Step-by-step explanation:

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Viefleur [7K]

Given:

The graph of a function.

To find:

The function.

Solution:

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4 0
3 years ago
Simplify the expression
ollegr [7]

Answer:

<h3>              f(x) = x - 6</h3><h3>             g(x) = x - 5</h3>

Step-by-step explanation:

\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5

4 0
3 years ago
Graph △XYZ with vertices X(2, 3), Y(−3, 2), and Z(−4,−3) and its image after the translation (x, y)→(x+3, y−1)
viktelen [127]

Answer:

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Step-by-step explanation:

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  Y(-3, 2) ⇒ Y'(0, 1)

  Z(-4, -3) ⇒ Z'(-1, -4)

The red arrows show the translation of each point in the graph.

5 0
3 years ago
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