Ryan can eat 3 hot dogs in 2 minutes at this rate, how many hot dogs could he eat in 7 minutes

Mathematics

2 answers:

Lelechka [254]2 years ago

8 0

Answer:

I do believe it it would be 10 hot dogs

Step-by-step explanation:

I got this by drawing a table

# of hot dogs # of minutes

3 2

6 4

9 6

10 7

tiny-mole [99]2 years ago

3 0

You could layout the question like this:

3 hot dogs = 2 minutes
x hot dogs = 7 minutes

In order to get from 2 minutes to 7 minutes, we could divide by 2 and then multiply by 7. So let’s do that to both sides.

3/2 = 1.5 x 7 = 10.5.

Therefore,

3 hot dogs = 2 minutes
10.5 hot dogs = 7 minutes

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Rewrite the equation of the parabola in vertex form.

aleksandrvk [35]

The answer would be y=(x+4)^2-37

5 0

2 years ago

Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

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

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .