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3 years ago

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Shaelin travels 60 miles per hour with her family for 45 minutes. What is the total distance that her family travels?

1 answer:

Triss [41]3 years ago

3 0

45 miles because 45 minutes is 3/4 of an hour. So to find how many miles they travelled at 60 miles per hour, you need to multiply 60 by 3/4. One way to do that is to divide 60 by 4 which is equal to 15 then multiply 15 by 3 which is equal to 45 miles.

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Name the subsets of which the number 13 belongs to. If you can even just tell me how to find the subset that's great! :)

Mamont248 [21]

It also belongs to set of natural numbers.

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3 years ago

Select the ordered pairs that satisfy the equation y=1/5x.Check all that apply.

vovikov84 [41]

Answer: C, E, F

Step-by-step explanation:

Plug in the "x" and "y" values from the ordered pairs into the equation.
For A: 3 = $\frac{1(5)}{5}$ → 3 ≠ 1 → A is eliminated.
For B: 5 = $\frac{1(1)}{5}$ → 5 ≠ $\frac{1}{5}$ → B is eliminated.
For C: 2 = $\frac{1(10)}{5}$ → 2 = 2 → C satisfies the equation.
For D: 10 = $\frac{1(4)}{5}$ → 10 ≠ $\frac{4}{5}$ → D is eliminated.
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Therefore, C, E, and F are the answers.

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3 years ago

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blondinia [14]

Answer:

1/4

Step-by-step explanation:

To find slope, we use the formula rise over run (y2-y1 over x2-x1)

So first, our y's: 7-5=2

And our x's: 12-4=8

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2 years ago

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

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3 years ago