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Aliun [14]
3 years ago
6

Make x the subject of the formula6x + a = 5(x + t)​

Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

x= −a+5t

Step-by-step explanation:

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I need help with #11
Troyanec [42]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\end{array}

\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\end{array}

\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{  D}}\\
\qquad if\ {{  D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}
\end{array}

now, with that template in mind, let's take a peek at this function

\bf \begin{array}{lllcclll}
y=&2(&1x&-2)^2&-4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}\\\\
-----------------------------\\\\
A\cdot B=2\impliedby \textit{shrunk by a factor of 2, of half-size}\\\\
\cfrac{C}{B}= \cfrac{-2}{1}\implies -2\impliedby \textit{horizontal right shift of 2 units}\\\\
D=-4\impliedby \textit{vertical down shift of 4 units}

so, the graph of y=2(x-2)²-4, is really the same graph of y=x², BUT, narrower, and moved about horizontally and vertically
8 0
3 years ago
Read 2 more answers
Help please. Just need to answer 29-31 then I’m done. Thanks
Free_Kalibri [48]

Answer:

29. See table below

30. See attached graph

31. The slope is m= 0.10

The slope represent the cost for every additional call minute.

Step-by-step explanation:

The cost is $0.5  first minute and $0.10 for any additional minutes

If c is the total cost of a call that last t minutes then;

c= 0.10t + 0.5-----where t is the time the call lasted

29. Use the equation above to create the table as;

t {x}            c{y}

1                  0.6

2                 0.7

3                 0.8

4                 0.9

5                 1.0

6                 1.1

The graph of this plot is as attached , where the coordinates are

{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}

The slope can be found using the formula;

m=Δy/Δx

m= 1.1 - 0.6 / 6-1

m= 0.5 / 5 = 0.10

The slope represent the cost for every additional call minute.

5 0
2 years ago
What is the percent equation for 46% of 127?
Brut [27]

Answer:

46% of 127 is 58.42

Step-by-step explanation:

46/100 = x/127

Cross multiply

46 × 127 = 100 × x

5,842 = 100x

Divide both sides by 100

58.42 = x

3 0
2 years ago
Please answer this correctly
Ksivusya [100]

Answer:

17 teaspoons

Step-by-step explanation:

1 tbs : 3 tsp

5 \frac{2}{3}  =  \frac{17}{3}  \\  \frac{17}{3} tbs \:  = 3( \frac{17}{3} )tsp \\  \frac{17}{3} tbs = 17tsp

Always start by converting mixed numbers into fractions;

multiply the whole number part by the denominator (under part) of the fraction part and add this to the numerator (upper part);

Then simply apply the ratio.

8 0
3 years ago
Simplify 3 - b (7b + 2) + 3b - (11 - b)​
nirvana33 [79]

Answer: -7b² + 2b - 8

Step-by-step explanation:

<u>Given expression</u>

3 - b (7b + 2) + 3b - (11 - b)

<u>Expand parentheses and apply the distributive property if necessary</u>

=3 - b · 7b - b · 2 + 3b - 11 + b

=3 - 7b² - 2b + 3b - 11 + b

<u>Combine like terms</u>

=-7b² + (3b - 2b + b) + (3 - 11)

=\boxed{-7b^2+2b-8}

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
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