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dem82 [27]
3 years ago
14

Write y=x^2-4x-1 in vertex form

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:  y= (x+2)² − 5

Step-by-step explanation:

The way I got this answer is by completing the square. The first step though, when looking at this equation, is to see if we can factor it. The way to check is to look at the coefficient for x² which is 1, and the constant, in this case -1. If we multiply those together, we get  −. Now we look at the middle term, 4x. We need to find any numbers that multiply to equal  −  1x² and add to  4x. There aren't any, which means it is not factorable.

Hope I helped

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Brian invests £4900 into his bank account.
True [87]

Answer:

  • £5200.68

Step-by-step explanation:

<u>Given:</u>

  • Investment P = £4900
  • Interest rate r = 1.5% or r = 0.015
  • Time t = 4 years
  • Number of compounds per year n = 1

<u>Find the future amount:</u>

  • F = P*(1+r/n)^{nt}\\
  • F = 4900*(1+0.015/1)^{1*4}=4900*1.015^4 = 5200.68
6 0
2 years ago
Read 2 more answers
What is the greatest common factor and the least common multiple of 45,75 and 90?
nata0808 [166]
3, 3, 2 is your answer
6 0
3 years ago
Need help on this math study guide
photoshop1234 [79]

8.

2 terms on left side, 3 on right side

9.

All variables count as coefficients,  so they’d be 8m, k, and -16k

10.

The constants are just numbers on their own, or without a variable next to it. Here it’d be 10 and -4


6 0
3 years ago
Which of the following is the sum of all the odd integers between 5 and 102?
STALIN [3.7K]

Answer:

2601

Step-by-step explanation:

The integers between 5 and 102 are

7, 9, 11, 13, 15, 17,19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101

The sum of the odd intergers between 2 and 105 can be calculated as follows

= (N + 1/2)^2

= (101 + 1 /2) ^2

= (102/2)^2

= 51^2

= 2601

Hence the sum of the odd intergers between 5 and 102 is 2601

3 0
3 years ago
Lf g(x) = x3 - 5 and h(x) = 2x - 2, find g(h(3)).
White raven [17]

Answer: g(h(3)) = 59

Step-by-step explanation:

Well if its x^3 I assume it is because you wrote other coefficients before the variable.

2(3) - 2 = 6-2 = 4

So 4 is the x input for h(x)

4^3 -5 = 64-5 = 59

7 0
4 years ago
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