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Sauron [17]
3 years ago
14

Options are 2k-13 8k-13 2k+13 2k-7

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

Step-by-step explanation:

- 3(2 + 4k) + 7(2k - 1) \\  \\  =  - 6 - 12k + 14k - 7 \\  \\  = 2k - 13

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What are the domain and range of f(x)=logx-5
Deffense [45]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>Let's define some terms</u>:

  • Domain: the set of inputs in the function (<em>in this case, it is x)</em>
  • Range: the set of all of the possible outputs (in this case, it is y)

<u>Let's find the domain:</u>

   For log(x),

           ⇒ the only inputs that are accepted are nonnegative and nonzero

               ⇒ therefore: Domain is (0, ∞)

<u>Now let's find out the range</u>:

    The biggest constraint of the output is log(x)

         ⇒ however log(x) has a range of (-∞,∞)

             ⇒ therefore the entire equation's range is

                      (-∞,∞)

<u>Answer:</u>

  • <u>Domain: (0,∞)</u>
  • <u>Range: (-∞,∞)</u>

Hope that helps!

#LearnwithBrainly

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2 years ago
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aleksandr82 [10.1K]
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Find the area of the triangle with b = 7 in h= 5.5 in
melamori03 [73]

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Step-by-step explanation:

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Answer:

y

Step-by-step explanation:

The graph in the attached figure

<em>Find the equation of the dashed line</em>

we have

points (0,2) and (5,3)

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The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{3-2}{5-0}

m=\frac{1}{5}

<em>Find the equation of the dashed line in slope intercept form</em>

y=mx+b

we have

m=\frac{1}{5}

b=2

substitute

y=\frac{1}{5}x+2

Remember that

The solution of the inequality is the shaded area below the dashed line

therefore

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y

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