3 years ago

You roll a standard number cube. Find P (number less than 4).

1 answer:

5 0

A standard number cube has 6 sides.

P is any number less than 4 (or 3,2, and 1).

3, 2, and 1 are 3 numbers

Place the number 3 over the amount of numbers there is.

3/6.

Simplify. Divide 3 from the numerator and denominator.

(3/6)/(3/3) = 1/2

1/2, or (B) is your answer

hope this helps!

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For the following exercises, find a formula for an exponential function that passes through the two points given. (0,6) and (3,7

kirill [66]

$\boxed{\boxed{f(x)=6(5)^x}}$

<h2>Explanation:</h2>

An exponential function is given by the following form:

$y=ab^x \\ \\ Where: \\ \\ a \ is \ a \ constant \ and \ b \ is \ the \ base$

Here we know two points:

$(0,6) \ and \ (3,750)$

$\bullet \ (0,6) \\ \\ x=0, \ y=6 \\ \\ 6=ab^0 \\ \\ \boxed{a=6} \\ \\\ \\ \bullet \ (3,750) \\ \\ x=3, \ y=750 \\ \\ 750=6b^3 \\ \\ b^3=\frac{750}{6} \\ \\ b=\sqrt[3]{125} \\ \\ \boxed{b=5}$