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3 years ago

Solve the equation. 5x + 6 = 2(2x – 3) what dose x =

Mathematics

2 answers:

Doss [256]3 years ago

8 0

Answer:

5x + 6 = 2(2x-3)

5x + 6 = 4x -5

x + 6 = -5

......x = -11......

Lady_Fox [76]3 years ago

4 0

Answer:

x=−12

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+6=2(2x−3)

Step 1: Simplify both sides of the equation.

5x+6=2(2x−3)

5x+6=(2)(2x)+(2)(−3)(Distribute)

5x+6=4x+−6

5x+6=4x−6

Step 2: Subtract 4x from both sides.

5x+6−4x=4x−6−4x

x+6=−6

Step 3: Subtract 6 from both sides.

x+6−6=−6−6

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Whats the perimeter of this small parallelogram?

Arisa [49]

Answer:

Perimeter = 18 units

Step-by-step explanation:

one side = 4

other side² = 3² + 4² + 25

other side = √25 = 5

Perimeter = (2 x 4) + (2 x 5) = 18 units

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3 years ago

Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. f(x)=sqrt(x) and g

SpyIntel [72]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see $\bf f(x)=\sqrt{x}\qquad 
\begin{array}{llll}
g(x)=&\sqrt{0.5x}\\
&\quad \uparrow \\
&\quad B
\end{array}$

so B went form 1 on f(x), down to 0.5 or 1/2 on g(x)
B = 1/2, thus the graph is stretched by twice as much.

8 0

3 years ago

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A group of 20 friends were going on a picnic 7 friends were playing basketball and 5 friends were having snacks if 2 friends wer

dlinn [17]

The problem statement tells you "7 friends were playing basketball".

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It appears 5 friends were only playing basketball, 2 friends were playing basketball and having snacks, and 3 friends were only having snacks. Apparently, 10 friends were doing neither of those activities.

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3 years ago

Select the correct answer from each drop-down menu.

Elodia [21]

Answer:

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Step-by-step explanation:

we have to remember the exponential function, the best way to find the answer is plotting the graph or arranging a table of values.

As you can see in the attached graph the y axis gets closer and closer to 0 as it moves forward in the x axis, and as it moves to the left the y axis starts increasing rapidly.

Also you got to keep in mind the way that functions behave in terms of the sign of its variable. for example the 10 in this equation only makes the curve to get wider, but if you change the sign to minus, the answer would be different.

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3 years ago

How many solutions are there to the equation below 9x + 27 = 9( x + 2 ) + 9

Nataly [62]

Let's solve the equation:

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9x = 9x

Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.

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3 years ago

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