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3 years ago

Find the range of ƒ(x) = –x + 4 for the domain {–3, –2, –1, 1}.

Mathematics

1 answer:

qaws [65]3 years ago

7 0

Answer:

range {3, 5, 6, 7 }

Step-by-step explanation:

to find the range substitute each value of x from the domain into f(x)

f(- 3) = -(- 3) + 4 = 3 + 4 = 7

f(- 2) = - (- 2 + 4 = 2 + 4 = 6

f(- 1) = - (- 1) + 4 = 1 + 4 = 5

f(1) = - 1 + 4 = 3

range y ∈ { 3, 5, 6, 7 }

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3 years ago

Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,

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Answer:

$y = -\frac{2}{5}\cdot x - 11$

Step-by-step explanation:

First, the slope is determined by using the following expression:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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3 years ago

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2 years ago

Solve 3x^2 + 6x+15=0

Elden [556K]

Answer:

The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i )

Step-by-step explanation:

Given equation as :

3 x² + 6 x +15 = 0

The value of x fro the quadratic equation a x² + b x + c = 0 is obtained as

x = $\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

So , from given eq , the value of x is now obtain as

x = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, x = $\frac{-6\pm \sqrt{6^{2}-4\times 3\times 15}}{2\times 3}$

Or, x = $\frac{\sqrt{-144} }{6}$

∴ x = ( - 1 + 2 i ) , ( - 1 - 2 i )

Hence The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i ) Answer

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3 years ago