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alex41 [277]
2 years ago
10

Simplify this expression (5x+2)^2

Mathematics
1 answer:
Galina-37 [17]2 years ago
5 0

[ Answer ]

\boxed{25x^2 \ + \ 20x\ + \ 4}

[ Explanation ]

  • Simplify: (5x \ + \ 2)^{2}

------------------------------------------

  • Apply Perfect Square Formula ((a \ + \ b)^{2} = a^{2} + 2ab + b^{2}) a = 5x, b = 2

(5x)^{2} + 2 · 5x · 2 + 2^{2}: 25x^{2} + 20x + 4

  • Answer

25x^{2} + 20x + 4

\boxed{[ \ Eclipsed \ ]}

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Allison’s cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and
FinnZ [79.3K]

Answer:

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

Step-by-step explanation:

We are told she would like to have at least 40 cupcakes and cookies combined.

If a is number of cupcakes and b is number of cookies, then this inequality is;

a + b ≥ 40

Secondly, we are told she would like to have at most 5 more cupcakes than cookies.

Thus, the inequality is;

a + 5 ≤ b

Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50

Thus, the inequality is;

2.50a + 1.50b ≤ 105

Finally, the 3 inequalities are;

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

4 0
2 years ago
Use a graphing utility to approximate (to two decimal places) any relative
iogann1982 [59]

Answer:

Relative minima at (-\frac{7}{2} , -\frac{49}{4} ), and relative maxima DNE.

Step-by-step explanation:

The given function is f(x) = x (x + 7) ...... (1)

We have to calculate the relative maxima and relative minima at point (x, y).

Rearranging the function given above we get.

y= x^{2} +7x = (x + \frac{7}{2} )^{2} -\frac{49}{4}

⇒ y+ \frac{49}{4} = (x + \frac{7}{2} )^{2}

Now, this is an equation of parabola having vertex at (-\frac{7}{2} , -\frac{49}{4} ) and the axis is parallel to positive Y-axis.

Therefore, the function(1) has a relative minima at (-\frac{7}{2} , -\frac{49}{4} ), and the relative maxima DNE. (Answer)

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Answer:

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Step-by-step explanation:

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2 years ago
( m + 4 ) ( m + 1 )
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(m+4)(m+1)

=m^2+5m+4........
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What is the value of 9 1/2​
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Answer:

19\2

Step-by-step explanation:

5 0
3 years ago
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