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allochka39001 [22]
2 years ago
12

Help please, it’s for average rate of change.

Mathematics
1 answer:
Nana76 [90]2 years ago
8 0

Answer in fraction form = -3/2

Answer in decimal form = -1.5

=========================================

Work Shown:

m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(1)-g(-3)}{1-(-3)}\\\\m = \frac{0-6}{1-(-3)}\\\\m = \frac{0-6}{1+3}\\\\m = \frac{-6}{4}\\\\m = -\frac{3}{2}\\\\m = -1.5\\\\

Effectively, we're finding the slope through the points (-3, 6) and (1, 0)

The g(b)-g(a) represents how y changes when going from x = a to x = b.

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Luz earns $400 for 40 hours of work. Use a ratio table to determine how much she earns for 6 hours of work.
LiRa [457]
To work out how much Luz earns, you simply have to follow 400/40=10, so she earns $10/hour. We can therefore establish that if she works for 6 hours, she'll earn $60.
7 0
2 years ago
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Solve the equation cot 2x + cot x =3
rusak2 [61]

tan2x*cotx - 3 = 0

We know that: tan2x = sin2x/cos2x and cotx = cosx/sinx

==> sin2x/cos2x *cosx/sinx = 3

Now we know that sin2x = 2sinx*cosx

==> 2sinxcosx/cos2x * cosx/sinx = 3

Reduce sinx:

==> 2cos^2 x/ cos2x = 3

Now we know that cos2x = 2cos^2 x-1

==> 2cos^2 x/(2cos^2 x -1) = 3

==> 2cos^2 x = 3(2cos^2 x -1)

==> 2cos^2 x = 6cos^2 x - 3

==> -4cos^2 x= -3

==> 4cos^2 x = 3

==> cos^2 x = 3/4

==> cosx = +-sqrt3/ 2

<span>==> x = pi/6, 5pi/6, 7pi/6, and 11pi/6</span>

3 0
3 years ago
As an estimation we are told 5 miles is 8 km. <br> Convert 32.5 miles to km.
elixir [45]

Answer:

52 km

Step-by-step explanation:

Given, 5 miles is 8km.

So, 1 mile will be (8/5) km.

Now, 32.5 miles will be (8/5) x 32.5 = 52 km

5 0
2 years ago
Could someone please help me
slava [35]
78
because 5 times 2 equals 10 so then u times 39 times 2 and get 78
3 0
3 years ago
4/5 ÷ 7/6 + 2/7 ∙2 1/5
Aleksandr [31]
<h2>The value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} =\dfrac{8}{7}</h2>

Step-by-step explanation:

We have,

\dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5}

To find, the value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} = ?

∴ \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5}

=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}

=\dfrac{24}{35} +\dfrac{16}{35}

Taking LCM of denominator, we get

=\dfrac{24+16}{35}

=\dfrac{40}{35}

Dividing numerator and denominator by 5, we get

=\dfrac{8}{7}

∴ The value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} =\dfrac{8}{7}

Hence, the value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} is equal to \dfrac{8}{7} .

4 0
3 years ago
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