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kakasveta [241]
3 years ago
9

Given the function: f(x)=x^2+1 a) Find f(–6) | b) Find f(8) pls help me

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

a) f(-6) = 37

b) f(8) = 65

Step-by-step explanation:

f(-6) = (-6)² + 1 = 36 + 1 = 37

f(8) = 8²+ 1 = 64 + 1 = 65

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Charlotte drives 64 mph for the first 3 hours of her trip and 92 mph for last 4 hours.
german

Answer:

80 mph

Step-by-step explanation:

\boxed{\sf Distance=Speed \times Time}

<u>First leg of trip</u>

  • Speed = 64 mph
  • Time = 3 hours

\implies \sf Distance =64\times 3 = 192\:miles

<u>Second leg of trip</u>

  • Speed = 92 mph
  • Time = 4 hours

\implies \sf Distance=92 \times 4 = 368\:miles

\boxed{\sf Speed=\dfrac{Distance}{Time}}

To find the average speed:

\begin{aligned}\implies \sf Average\:speed & = \sf \dfrac{Total\:distance}{Total\:time}\\\\ & = \sf \dfrac{192+368}{3+4}\\\\& = \sf \dfrac{560}{7}\\\\ & = \sf 80\:mph\end{aligned}

6 0
2 years ago
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Nico had 31/2 yards of fabric. He used 2/3 yard to make a pillow cover and 1/3 yard to make a scarf. How much fabric does Nico h
Mila [183]

Answer:

Nico has 2  1/2 yards left

Step-by-step explanation:


5 0
3 years ago
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What is the equivalent decimal form for<br> 2/40?
Lelechka [254]

Answer:

decimal form: 0.05

Step-by-step explanation:

To find decimals divide them, so 2 divided by 40 is 0.05.

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4 0
3 years ago
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A board is 85cm in length and must be cut so that one piece is 11cm longer than the other piece . Find the length of each piece.
iVinArrow [24]

The shorter piece is 37 cm

The longer piece is 48 cm:

Step-by-step explanation:

Divide 85 cm by 2 = 42.5

Divide 11 cm by 2 = 5.5

Add them together = 48 cm

85 cm - 48 cm = 37 cm

8 0
3 years ago
What is the vertex of the graph of g(x)=|x-3|-3
Sedbober [7]

Answer:

(3, -3)

Step-by-step explanation:

The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0).   Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right.  Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down.  Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).

3 0
3 years ago
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