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3 years ago

What value of x makes f(x) = -2 if f(x) = 3.4x - 7.1

Mathematics

1 answer:

enyata [817]3 years ago

5 0

Option C

For x = 1.5 we get f(x) = -2

Solution:

Given function is:

$f(x) = 3.4x - 7.1$

We have to find the value of "x" so that f(x) = -2

Substitute f(x) = -2 in given function

$-2 = 3.4x - 7.1$

Solve for "x" by moving the constants to one side and variables to other side

$3.4x = -2 + 7.1\\\\3.4x = 5.1\\\\ \text{Divide both the sides of equation by 3.4 }\\\\x = \frac{5.1}{3.4}\\\\x = 1.5$

For x = 1.5 we get f(x) = -2

We can verify by substituting x = 1.5 in given function

$f(1.5) = 3.4(1.5) - 7.1\\\\f(1.5) =5.1-7.1\\\\f(1.5) = -2$

Thus for x = 1.5 we get f(x) = -2

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valentinak56 [21]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

Find the equation of the line passing through (4, 5) and parallel to

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$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

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$\Large\textsf{3x+2y=4}$

$\rightarrow$ Now, subtract 3x on both sides:-

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Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

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Now let's write the equation in point-slope form:-

$\hookrightarrow\sf{y-y_1=m(x-x_1)}$

Replace numbers with letters, as follows:-

$\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}$

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

$\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}$

Now, Add 5 on both sides:-

$\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}$

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<h3>Good luck with your studies.</h3>

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Algebraically/geometrically

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We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).

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3 years ago

Read 2 more answers

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Answer:

A. Yes

Step-by-step explanation:

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2 years ago