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vovikov84 [41]
2 years ago
13

Y=x^2-5x+11 Find vertex form

Mathematics
1 answer:
Marat540 [252]2 years ago
8 0

Answer:

42

Step-by-step explanation:

The answer to life the universe and everything is 42

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Gabrielle's age is three times Mikhail's age. The sum of their ages is 84. What is Mikhail's age?
Whitepunk [10]

Answer: 21

Step-by-step explanation:

84 divided by 4 = 21 since grabielle is 21, and then mikhail is gonna be 3 times more so it’s gonna be 63

7 0
3 years ago
Read 2 more answers
What is the range of the function y=e^x+1 graphed below
REY [17]
The range of y=e^x+1 is y>1.

5 0
3 years ago
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What is the solution set of x for the given equation? x^2/3=x^1/3+4=6 A. -2, -1 B. 2, -1 C. -8, -1 D. 8, -1 E. 2, 8
Valentin [98]

Answer:

Interpreting as: x^2/3=x^1/3+4=6 A

Input:

x^2/3 = x^(1/3) + 4 = 6 A

3 0
3 years ago
Part 1
svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

8 0
3 years ago
Lucia flips a coin three times. What is the probability she gets (Head, tail, Head) in that order?
Svetach [21]

Answer: \dfrac{1}{8}

Step-by-step explanation:

The total outcomes of tossing a coin = 2

The total number of possible outcomes of flipping coin three times =2 x 2 x 2 = 8

Favorable outcome= (Head, tail, Head) in order

i.e. Number of Favorable outcomes = 1

We know that , Probability = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

Therefore , The required probability =\dfrac{1}{8}

Hence , the probability she gets (Head, tail, Head) in that order=\dfrac{1}{8}

8 0
3 years ago
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