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3 years ago

A helicopter flies 168 miles against the wind in 2 hours; with the wind, it can

Mathematics

1 answer:

Phoenix [80]3 years ago

6 0

Answer:

105 mile/hour

Step-by-step explanation:

(H - W) x 2 = 168 against wind, speed = helicopter - wind

(H + W) x 2 = 252

H - W = 84 against wind, speed = helicopter - wind

H + W = 126

2H = 84 + 126 = 210

H = 105

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Determine the x- and y-intercepts of the graph of y=−1/3x+3 .

Alinara [238K]

Answer:

x intercept

$y = 0 \\ 0 = \frac{1}{3} x + 3 \\ \frac{1}{3} x = - 3 \\ x = - 9$

y intercept

$x = 0 \\ y = \frac{1}{3} \times 0 + 3 \\ y = 3$

5 0

3 years ago

Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what

Kruka [31]

Answer: $32,732.58

Step-by-step explanation:

To calculate the total loan payment over the course of the loan period, use the future value formula:

= Loan amount * (1 + rate) ^ number of years

As this loan is compounded monthly, you need to convert certain terms to monthly figures:

Number of periods = 6 * 12 months = 72 months

Interest = 4.5 / 12 = 0.375%

Total payment:

= 25,000 * ( 1 + 0.375%)⁷²

= $32,732.58

6 0

2 years ago

Helpppp

OLga [1]

I think the answer is C.

3 0

3 years ago

Quadratics need help making parabola

timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

$4\cdot a -2\cdot b + c = 0$ (1)

$36\cdot a + 6\cdot b + c = 0$ (2)

$c = -4$ (3)

The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is: