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harkovskaia [24]
2 years ago
15

Let f(x) = 4x+3 and g(x) = -2x+5

Mathematics
1 answer:
brilliants [131]2 years ago
3 0
 f(x) = 4x + 3
g(x) = -2x + 5

(f · g)(5) = (4(5) + 3)(-2(5) + 5)
(f · g)(5) = (20 + 3)(-10 + 5)
(f · g)(5) = (23)(-5)
(f · g)(5) = -115
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What are the solution(s) to the quadratic equation 9x2 = 4?
Kaylis [27]

Answer:

Option B.

Step-by-step explanation:

The given quadratic equation is

9x^2=4

We need to find the solution of given quadratic equation.

Divide both sides by 9.

\frac{9x^2}{9}=\frac{4}{9}

x^2=\frac{4}{9}

Taking square root on both sides.

x=\pm\sqrt{\frac{4}{9}}

x=\pm\frac{2}{3}

The solution of given equation are x=\frac{2}{3} and x=-\frac{2}{3}.

Therefore, the correct option is B.

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I need help ?!? What’s the answer
Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

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3 years ago
The second term in a geometric sequence is 20. The fourth term in the same sequence is 45/4 or 11.25. What is the common ratio i
kati45 [8]
\bf \begin{array}{ccll}
n&term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&a_2&20\\
3&a_3&20r\\
4&a_4&20rr\\
&&20r^2\\\\
&&\frac{45}{4}
\end{array}\implies \stackrel{4^{th}~term}{20r^2=\cfrac{45}{4}}\implies r^2=\cfrac{45}{80}
\\\\\\
r^2=\stackrel{simplified}{\cfrac{9}{16}}\implies r=\sqrt{\cfrac{9}{16}}\implies r=\cfrac{\sqrt{9}}{\sqrt{16}}\implies r=\cfrac{3}{4} 
4 0
3 years ago
Simplify the expression (2 square root sign 27) - (3 square root sign 32)
monitta

Answer:

3\sqrt{3} - 4\sqrt{2}

Step-by-step explanation:

The expression (2 square root sign 27) - (3 square root sign 32) is 2\sqrt{27} - 3\sqrt{32}.

To simplify, simplify inside the radicals by removing perfect square factors.

\sqrt{27} =\sqrt{9*3} =3\sqrt{3}

\sqrt{32} =\sqrt{16*2} =4\sqrt{2}

The expression becomes 3\sqrt{3} - 4\sqrt{2}.

This cannot be simplified anymore because whats under the radical is not the same.

6 0
2 years ago
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