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kifflom [539]
1 year ago
11

1.Given the function h(t) = t³ - 2t, find h(-5).​

Mathematics
1 answer:
Svetllana [295]1 year ago
7 0

Answer:

-65

Step-by-step explanation:

h(t) = (-5)^3 -2(-5)

h(t) = -75 +10

h(t) = -65

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Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)
DanielleElmas [232]

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

          <em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em>            through (0, -1)</em>

<em />

<em>      </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

        First, let's take a look at our provided information:-

  • A line \text{y=-12x+2}
  • A point (0, -1)
  • The line \text{y=-12x+2} is perpendicular to the line that goes through (0, -1)

     If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

   So we take the slope of the given line, which is -12, change its sign from minus to plus:-

\Large\textit{12}

And now, We flip the number over:-

\Large\text{$\displaystyle\frac{1}{12}$}

Now that we've found the slope of the line, let's find its equation.

     The first step is to write it in point-slope form as follows:-

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

Replace letters with numbers,

\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}

On simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}

On further simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}

Subtracting 1 on both sides,

\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}

\Uparrow\texttt{Our equation in slope-intercept form}

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

#TogetherWeGoFar

\rule{300}{1}

5 0
2 years ago
Given: h(x)=-4x and g(x) = 3x +1<br> Find:<br> (nog)
pashok25 [27]

Answer:

Step-by-step explanation:

h(g(x))

g(x)= 3x + 1

h(3x + 1) = 4(3x + 1) = 12x + 4

4 0
3 years ago
Bob brings home 156.40 his gross is 184.00 what percentage do he bring home​
Tanzania [10]

Answer:

85%

Step-by-step explanation:

To find the percentage we will have to start by dividing the amount he brings home by the gross.

156.4 / 184 = 0.85

By doing this, we get the answer in decimal form, which is not what we want.

Multiply it by 100 to convert it into a percent.

0.85 x 100 = 85.

Now, we know that he brings home 85% of his gross.

5 0
2 years ago
Does (lnk)/(k^3), where as k starts at one and continues on to infinity, converge? ...?
max2010maxim [7]
Yes. The numerator does not increase as fast as the denominator increases, causing the function's value to decrease with every subsequent increase in the value of k. This causes the function to converge at a point.
7 0
2 years ago
Is the simplified form of 2 square root of 3 + 3 square root of 3 rational?
trasher [3.6K]

2\sqrt3+3\sqrt3=(2+3)\sqrt3=5\sqrt3-\text{It's an irrational number}

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2 years ago
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