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Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

D is the correct answer

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Solve the inequality for V. -8.3 _>_ V - 1.9

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First keep in mind that the given value is negative and that it is greater than or equal to whatever 'v' is.

$-8.3 \geq v - 1.9$

When solving for a variable in any equation, you do something to both sides in order to keep it equal. Here, v is being subtracted by 1.9; therefore we can add 1.9 to both sides in order to isolate the variable.

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Despite not needing a value for the question, it is worth noting that since this is an inequality, v can be any value from -6.4 to ∞ in order to make it true.

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Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))

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$\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\$

$\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]$

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2 years ago