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3 years ago

Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.

Mathematics

1 answer:

timama [110]3 years ago

5 0

Answer:

hahahhaa thanks

Step-by-step explanation:

ahahahhahahad

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If f(x) is an exponential function where f(-1.5) 26 and

mariarad [96]

Answer:

$f(10) = 1147.25$

Step-by-step explanation:

Given

$f(-1.5) = 26$

$f(5.5) = 7$

Required

f(10)

An exponential function is represented as:

$f(x) = ab^x$

$f(-1.5) = 26$ impleies that:

$26 = ab^{-1.5}$ --- (1)

$f(5.5) = 7$ implies that

$7 = ab^{5.5}$ --- (2)

Divide (2) by (1)

$26/7 = ab^{-1.5}/ab^{5.5}$

$3.71429 = b^{-1.5+5.5}$

$3.71429 = b^{4}$

Take 4th root

$b = 1.39$

Substitute $b = 1.39$ in $26 = ab^{-1.5}$

$26 = a * 1.39^{-1.5}$

$26 = a * 0.6102$

Solve for (a)

$a = 26/0.6102$

$a = 42.61$

f(10) is calculated as:

$f(10) = ab^{10}$

$f(10) = 42.61 * 1.39^{10}$

$f(10) = 1147.25$

3 0

3 years ago

A bag contains 8 black beads and 4 white beads. If 2 beads are drawn at random, what is the probability that both beads are blac

maria [59]

Answer:

14/33

Step-by-step explanation:

The total amount of beads is 8+4 = 12. 8 of these are black beads, so that is what we want, so 8/12 or 2/3. For the second one, one black bead is already taken so 8-1 = 7 are left and for the total 12 - 1 = 11 are left, so 7/11. Multiply this by 2/3 and we get 14/33.

3 0

3 years ago

An answer would be nice

liberstina [14]

Answer:

1) 90

Step-by-step explanation:

157.50 / 7 = 22.50 or 270 / 12 = 22.50

22.50 * 4 = 90

5 0

3 years ago

Read 2 more answers