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Olin [163]
3 years ago
15

Find the equation of the axis of symmetry of the following parabola algebraically.

Mathematics
1 answer:
Sonja [21]3 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

y = 2x² − 4x − 14

y = 2 (x² − 2x) − 14

y = 2 (x² − 2x + 1) − 14 − 2(1)

y = 2 (x − 1)² − 16

The vertex of the parabola is at (1, -16).  So the equation of the line of symmetry is x = 1.

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lamar paid $93 for a bicycle that was on sale for 60% off its original price. what was the original price of the bicycle?
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It would be $148.80.
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4 years ago
The radius of the base of a right circular cone is 4 in., and its slant height is 15 in. If the radius and the slant height are
alukav5142 [94]

Answer:

Step-by-step explanation:

radius r = 4 in

slant height L = 15 in

base area = πr² = 16π in²

lateral area = πrL = 60π  in²

surface area = 76π in²

r = 4×6, L = 15×6

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3 years ago
Question 6. Which expression is equivalent to 3x(x-6)+5(x-4)?
alukav5142 [94]

Answer:

8x- 38

Step-by-step explanation:

3(x-6)+5(x-4)

Distribute

3x- 18+5x -20

Combine like terms

3x+5x -18-20

8x- 38

5 0
3 years ago
Read 2 more answers
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3 years ago
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1. (02.01 MC) Celine has a bottle that contains 20% milk and the rest water. The bottle has 1 liter of water. Part A: Write an e
krok68 [10]

Answer:

A. Total number of liters = 1.25 liters

B. Milk = 0.25 liters

Step-by-step explanation:

Let

x = total number of liters ( milk + water )

Milk = 20% of x

= 0.2x

Water = 1 liter

Total number of liters = milk + water

x = 0.2x + 1

x - 0.2x = 1

0.8x = 1

Divide both sides by 0.8

x = 1 / 0.8

= 1.25

x = 1.25 liters

Total number of liters = 1.25 liters

B.

Liters of milk in the bottle = Total number of liters - liters of water

= 1.25 liters - 1 liter

= 0.25 liter

Milk = 0.25 liters

8 0
4 years ago
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