What is the answer of question 5

Mathematics

1 answer:

Leviafan [203]4 years ago

5 0

Answer:

2 laps per minute

0.5 minutes per lap

Step-by-step explanation:

The original ratio is 12 laps in 6 minutes, or

$\frac{laps}{minutes}=\frac{12}{6}$

To find the unit rate, you divide the numerator by the denominator to find the amount per one.

laps per minute:

$\frac{laps}{minute}=\frac{12}{6}=\frac{2}{1}$ , 2 laps per minute

minutes per lap:

$\frac{minutes}{lap}=\frac{6}{12}=\frac{0.5}{1}$ , 0.5 minutes per lap

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Ben has $100 to go shopping. Does he have enough money to buy a $20 and a $72 pair of shoes if there is an 8.5% tax

Juli2301 [7.4K]

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3 years ago

one x-intercept for a parabola is at the point (2, 0). use the quadratic formula to find the other x-intercept for the parabola

omeli [17]

Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.

2) Just solving for x when y = 0, by using the quadratic formula.

$x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1$ .

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

$x_1 + x_2 = \frac{-b}{a}$

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

$x_1 \cdot x_2 = \frac{c}{a}$