serious answer please.(don't answer if you don't:t know.)
PART AL. SUMMATIVE EVALUATION Directions. Choose the letter that corresponds to your answer. . 1. Which of the following quadratic equations has no real roots? A 2x2 + 4x = 3 C 352-29 =-5 B2-8-4-0 D-2r2 +7 +7 - 0
2. What is the nature of the roots of the quadratic equation if the value of is discriminant
5 2 . Nun 2 is zero? A The roots are not real B. The roots are irrational and not equal . C. The roots are rational and not equal. D. The roots are rational and equal 3. One of the roots of 2x* - 13x + 20 = 0 ls 4. What is the other root? A- B.- C. . 5 D 4. What are the roots of the quadratic equation x2 + x-56 = 0? A 2 and -1 B. 8 and -7 C. 8 and 7 6. Which of the following quadratic equations has roots whose sum is -1 and the product-127 A x² + 2 =12 B.x2 + 2x = 12 C.x2+x=24 6. What is the sum of the roots of the quadratic equation 4x2 - 4x - 3=0? A-1 B.-1 7. Given the quadratic equation 3x2 + 13x - 10 = 0, what is the product of its roots? A - 2. 0.9 D. 0.3 and -2 D. x2 + 2x = 24 C. 1 2 D. 13 3 C. 29 3 3
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Answer:
✏️INFINITE SERIES
==============================
Question: What is the sum of the infinite geometric sequence whose first term is 318 and the common ratio is 1/2?
Solution: Use the formula on how to find the sum of the infinite geometric series.
\begin{gathered} \begin{aligned} & \bold{Formula:} \\ & \boxed{S_\infin = \frac{a_1}{1-r}} \end{aligned} \end{gathered}
Formula:
S
∞
=
1−r
a
1
\begin{gathered} S_{\infin} = \frac{318}{1-\frac{1}{2}} \\ \end{gathered}
S
∞
=
1−
2
1
318
\begin{gathered} S_{\infin} = \frac{318}{\frac{1}{2}} \\ \end{gathered}
S
∞
=
2
1
318
S_{\infin} = 318 \cdot 2S
∞
=318⋅2
S_{\infin} = 636S
∞
=636
\therefore∴ The sum of the given infinite geometric series is...
\Large \underline{\boxed{\tt \purple{\,636\,}}}
636
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