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Vikentia [17]
3 years ago
9

Find (ƒ + g)(x) ƒ(x) = 6x2 + 3x + 1 g(x) = 2x2 – 9

Mathematics
1 answer:
gavmur [86]3 years ago
8 0

Answer:

8x² + 3x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = 6x² + 3x + 1 + 2x² - 9 = 8x² + 3x - 8

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5x^2 + 13x

Step-by-step explanation:

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2 years ago
A train travels at a constant speed of 35 mi/h. How long does it take the train to travel 490 mi?
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7 0
3 years ago
If JL = 30, JK = 18, and LM = 6, then the value of LN is:
harina [27]

Answer:

LN = 15

Step-by-step explanation:

The arrows on the line segments indicate they are parallel.

\implies \overline{KM} \parallel \overline{JN}

<u>Triangle Proportionality Theorem</u>

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides <u>proportionally</u>.

\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}

Given:

  • LM = 6
  • JL = 30
  • JK = 18

⇒ LK = JL - JK = 30 - 18 = 12

Substituting the values into the equation and solving for LN:

\begin{aligned}\implies \dfrac{LK}{LJ} & = \dfrac{LM}{LN}\\\\\dfrac{12}{30} & = \dfrac{6}{LN}\\\\12LN & = 30 \cdot 6\\\\LN & = \dfrac{180}{12}\\\\LN & = 15\end{aligned}

7 0
2 years ago
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Answer:

X \leq 20

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What’s an equivalent expression of 24a-16
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Answer:

24 A-(8+8)

Step-by-step explanation:

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