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3 years ago

Divide the sum of 8/7 and-3/14 by their difference

Mathematics

1 answer:

valina [46]3 years ago

5 0

Sum:

8/7+(-3/14)=13/14

difference:

8/7-(-3/14)=19/14

As per given condition we have,

sum/difference=(13/14)/(19/14)=13/19

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Which of the following tables shows a rate greater than 1 kilometer per hour

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Can you represent the data with an equation? If so write the equation.

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3 years ago

Please help me! Find the number x such that f(x) =1

STatiana [176]

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Step-by-step explanation:

We have the piecewise function:

$f(x) = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

And we want to find x such that f(x)=1.

So, let's substitute 1 for f(x):

$1 = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

This has two equations. So, we can separate them into two separate cases. Namely:

$1=-\frac{1}{2}x-1\text{ or } 1=x$

Let's solve for x in each case.

Case I:

We have:

$1=-\frac{1}{2}x-1$

Add 1 to both sides:

$2=-\frac{1}{2}x$

Let's cancel out the fraction by multiplying both sides by -2. So:

$2(-2)=(-2)\frac{-1}{2}x$

The right side cancels:

$-4=x\\$

Flip:

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So, x is -4.

Case II:

We have:

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Flip:

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This is the solution for our second case.

So, we have:

$x_1=-4\text{ or } x_2=1$

Now, can check to see if we have to to remove solution(s) that don't work.

Note that x=-4 is the solution to our first equation.

The first equation is defined only if x is less than -2.

-4 is less than -2. So, x=-4 is indeed a solution.

x=1 is the solution to our second equation.

The second equation is defined only if x is greater than or equal to -2.

1 is greater than or equal to -2. So, x=1 is also a solution.

Therefore, our two solutions are:

$x_1=-4\text{ or } x_2=1$

Out of our answer choices, we can pick D.

And we're done!

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3 years ago

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mr Goodwill [35]

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With that you have the answer to the three questions:


a. significantly high (or at least 2 standard deviations above the mean).

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The other half are below 2 standard deviations, so the answer is 2.25%

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