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Savatey [412]
4 years ago
12

Find the vertex of the following quadratic function f(x)=x^2+2x+1

Mathematics
1 answer:
Usimov [2.4K]4 years ago
3 0

Answer:

The answer is that the vertex is: (1, 0)

Step-by-step explanation:

Use the "Completing the Square Method":

(x - h)^2 - k = 0, the vertex is (h, -k)

Complete the square:

x^2 + 2x + 1 = 0

x^2 + 2x = -1

(2/2)^2 = 1, add 1 to both sides of the equation.

x^2 + 2x + 1 = -1 + 1

(x + 1)^2 = 0

(x + 1)^2 - 0 = 0 (Just to put a placeholder in for he -k)

The vertex is (1, 0)

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kakasveta [241]

Answer: B and D

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4 0
1 year ago
Tom, Mary and Bill are aged 10,12 and 15 years respectively. They share 259 euros in the same ratio as their ages. Find how much
tigry1 [53]

Answer:

70 , 84 , 105

Step-by-step explanation:

sum their ages , 10 + 12 + 15 = 37

divide the amount by this sum to find the value of one part of the ratio.

259 ÷ 37 = 7 ← value of 1 part of the ratio , then

10 parts = 10 × 7 = 70 euros ← Tom's share

12 parts = 12 × 7 = 84 euros ← Mary's share

15 parts = 15 × 7 = 105 euros ← Bill's share

7 0
2 years ago
Which can be multiplied?
elena55 [62]

Answer:

  B)  BD

Step-by-step explanation:

The number of columns of the first matrix (2nd dimension) must match the number of rows of the second matrix (1st dimension). When you write the dimensions together, the two middle numbers must be the same.

AB ⇒ (3x2) × (3x5) . . . . 2 ≠ 3, so cannot be multiplied

BD ⇒ (3x5) × (5x7) . . . . 5 = 5, so can be multiplied

CD ⇒ (2x3) × (5x7) . . . . 3 ≠ 5, so cannot be multiplied

DD ⇒ (3x5) × (3x5) . . . . 3 ≠ 5, so cannot be multiplied

8 0
3 years ago
Roderick has an Internet service that charges by the hour. This piecewise function shows the cost of the Internet service based
puteri [66]

Answer:

18.75 is the answer

Step-by-step explanation:

since the internet usage is more than 4 hrs, the second equation will be used. that is

cost = (10 + 2.50 (x - 4)) where x is the usage hours.

thus

cost = 10 + (2.5 \times (7.5 - 4)) \\  = 10 + (2.5 \times 3.5) \\  = 10 + 8.75 \\  = 18.75

3 0
3 years ago
WILL UPVOTE!<br> solve and show all steps please (√25+√9)^2
dalvyx [7]
The square root of 25 = 5
the square root of 9 = 3

5 + 3 = 8

8^2 = 64
5 0
4 years ago
Read 2 more answers
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