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iren2701 [21]
3 years ago
13

align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

82x - 33 ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

5x + 11(7x - 3) \\  = 5x + 77x - 33 \\  = 82x - 33

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

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a solution of salt and water is 5 parts of salt to 25 parts of water . express the ratio of the amount of salt to the amount of
labwork [276]

Answer:

5 to 25 = 1 to 5 = 1/5 = 20%

Step-by-step explanation:

4 0
3 years ago
The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the f
OLEGan [10]

Answer: First option

Step-by-step explanation:

By definition, the horizontal shift depends on the value of <em>h </em>and the vertical shift depends on the value of <em>k</em><u>.</u>

f(x)=(x-h)^3 indicates that the function if shifted to the right <em>h </em> units.

f(x)=(x+h)^3 indicates that the  function if shifted to the left <em>h </em> units.

f(x)=f(x)-k indicates that the  function if shifted  down <em>k </em> units.

f(x)=f(x)+k indicates that the  function if shifted up <em>k </em> units.

Then:

If <em>h </em>is positive, the graph will shift to the right.

If <em>k </em>is negative, the graph will shift down.

 As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:

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7 0
3 years ago
If sin A = 3/8, find the value of cosec A - sec A.​
alexira [117]

Answer:

\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}

Step by step explanation:

\text{Given that,}\\\\~~~~~~\sin A = \dfrac 38 \\\\\implies \sin^2 A = \dfrac 9{64}\\\\\implies  1 - \cos^2 A = \dfrac{9}{64}\\\\\implies \cos ^2 A = 1 - \dfrac 9{64}\\\\\implies \cos^2 A = \dfrac{55}{64}\\\\\implies \cos A =\pm\sqrt{\dfrac{55}{64}}\\ \\\implies \cos A = \pm\dfrac{\sqrt{55}}8\\\\

\implies \dfrac 1{\cos A} = \pm\dfrac{8}{\sqrt{55}}

\text{Now,}\\\\\csc A - \sec A\\\\=\dfrac{1}{\sin A}- \dfrac{1}{\cos A}\\\\=\dfrac 83 -\left(\pm \dfrac 8{\sqrt {55}} \right)\\ \\\text{Hence,}\\\\\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}

6 0
2 years ago
Raquel builds a model train that has 4 equal-sized rail cars. Each rail car has a passenger section and a cargo section. The car
Butoxors [25]

Answer:8

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3 0
3 years ago
Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.
Naya [18.7K]
This is just like working with money in a bank account
that's earning 12% interest.

If the population is 422,000 today, and
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6 0
3 years ago
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