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2 years ago

Use the graph of the function f(x) = (x + 1)² + 2. Identify the vertex and the axis of symmetry.

Mathematics

1 answer:

zalisa [80]2 years ago

4 0

1. Vertex: f(x)=x^2+2x+3
=> a=1 b=2
=> x=-2/2*1 => x=-2/2
=> x=-1
=> (-1,2)

2. Axis of symmetry: x=-1

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Jlenok [28]

Answer:

Step-by-step explanation:

4 0

3 years ago

Find the value of x

luda_lava [24]

You need to post an equation if you want an answer, because without the equation it is impossible to determine the value of the coefficient x

5 0

3 years ago

Solve for x and y<br><br>6/x+2y + 5/x-2y = -3 ;<br>3/x+2y + 7/x-2y = -6

Radda [10]

Step-by-step explanation:

Let

{1/(x+2y)} = u -----Eqn(1)

{1/(x-2y)} = v ------Eqn(2)

So, given equation can be rewritten as

⇛6u + 5v = -3 ---Eqn(3)

⇛3u + 7v = -6 -----Eqn(4)

On multiply equation (4) by 2, we get

⇛6u + 14v = -12 -----Eqn(5)

On subtracting equation (3) from equation (5), we get

⇛9v = -9

⇛v = -9/9

⇛v = -1 ----Eqn(6)

Put value of v in equation (3), we get

6u + 5v = -3

⇛6u + 5 * (-1) = -3

⇛6u -5 = -3

⇛6u = -3 + 5

⇛6u = 2

⇛u = 2/6

⇛u = (2÷2)/(6÷2)

⇛u = 1/3 -----Eqn(7)

Now, substituting value of u and v in equation (1) and equation (2), we get

{1/(x+2y)} = 1/3 and {1/(x-2y)} = -1

⇛x + 2y = 3 -----Eqn(8)

⇛x - 2y = -1 -------Eqn(9)

Now, add equation (8) and equation (9) , we get

⇛2x = 2

⇛x = 2/2

On substituting x = 1 in equation (8), we get

x + 2y = 3

⇛ 1 + 2y = 3

⇛2y = 3 - 1

⇛2y = 2

⇛y = 2/2

Therefore, x = 1 and y = 1

<u>Answer</u><u>:</u> Hence the value of x and y is 1 and 1.

8 0

2 years ago

A motorist travels 406 km during a 7 hr period. What was the average speed in km/hr and m/s?

aalyn [17]

Answer:

The answer is:

58 km/hr

16.1 m/s

Step-by-step explanation:

406 km in 7h

x km in 1h

x= 1 x 406/7

x= 58 km/hr

58 km/hr ⇒⇒⇒⇒⇒⇒ 16.1 m/s

4 0

3 years ago

A pair of skis was discounted 20%. How many percent will the discounted price have to be increased to return to the original pri

denis-greek [22]

Answer:

25%

Step-by-step explanation:

Let the original price of A pair of skis be $100

discount given on A pair of skis = 20% on original price

discount value of A pair of skis in $ = 20% * $100

= (20 * 100)/100 = $20

discounted price of A pair of skis = original price - discount = 100 -20 = $80

in order to increase discounted price to original price of $100

there must be increase of $20 to discounted price which is $80

percentage increase on discounted price to return to the original price =

$(increased \ amount / discounted \ price) * 100 \\=>( 20/80) * 100 = 25\\$

therefore 25% must be increase on discounted price to return to the original price

6 0

3 years ago