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2 years ago

Determine the number of roots, using the most efficient method possible.

Mathematics

1 answer:

Dmitry [639]2 years ago

7 0

Answer:

2 roots in every case, not all are real.

Step-by-step explanation:

All of these equations are quadratic equations (degree 2). Every quadratic has two roots. They may be identical (looks like 1 root), and they may be complex (zero real roots), but there are always 2 of them.

a) the y-value of the vertex is negative and the parabola opens downward (leading coefficient -5), so there are no real zeros and both roots are complex.

b) each binomial factor contributes a root. Both roots are real.

c) the discriminant is positive, (3²-4·2·1=1), so both roots are real.

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Deshaun the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the

Juli2301 [7.4K]

Answer:

Plan A and plan B both lasts for 1.25 hours.

Step-by-step explanation:

Trainer has two solo workout plans Plan A and Plan B.

Let the trainer trains for plan A = x hours and for plan B = y hours

As per statement given in the question,

"Dueshan trained his Monday clients for a total of 10 hours"

Equation will be, 3x + 5y = 10 --------(1)

And other statement says,

"Dueshan trained his Tuesday clients for a total of 10 hours"

6x + 2y = 10

3x + y = 5

y = 5 - 3x ----------(2)

Replace the value of y in equation 2 from equation 1.

3x + 5(5 - 3x) = 10

3x + 25 - 15x = 10

25 - 12x = 10

12x = 25 - 10

12x = 15

x = $\frac{15}{12}$

x = 1.25 hours

From equation 1

y = 5 - 3×1.25

y = 5 - 3.75

y = 1.25 hours

Therefore, plan A and plan B both lasts for 1.25 hours.

6 0

3 years ago

An item has an original price of $25 the store marked it down 12% what is the sale price?

Paha777 [63]

Answer:

Step-by-step explanation:

we need to find first the marked down

25*12/100=3

the new price will be 25-3=22 dollars

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Answer:

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