Translate this sentence into an algebraic inequality.x divided by the quantity y minus 9 is 18 or more.A.B.C.D.

Use algebra to solve 3x+4 = 1/x<br> The exact solutions are x=<br> Х

skad [1K]

Answer:

Ignore the A before the ±, it wouldn't let me type it correctly.

$x=\frac{2±\sqrt{7} }{3}$

Step-by-step explanation:

3x + 4 = 1 ÷ x

3x + 4 - 4 = 1 ÷ x - 4

3x = 1 ÷ x - 4

$3x=\frac{1}{x} +\frac{x(-4)}{x}$

$3x=\frac{1+x(-4)}{x}$

$3x=\frac{1-4x}{x}$

$x(3x)=x(\frac{1-4x}{x})$

x · 3x = - 4x + 1

3x² = - 4x + 1

3x² - (- 4x + 1) = 0

3x² + 4x - 1 = 0

Ignore the A before the ±, it wouldn't let me type it correctly.

$x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}$

a = 3

b = 4

c = - 1

$x=\frac{-4±\sqrt{4^{2}-4((3)(-1)) } }{2(3)}$

$x=\frac{-4±\sqrt{16-4((3)(-1)) } }{2(3)}$

$x=\frac{-4±\sqrt{16+12 } }{2(3)}$

$x=\frac{-4±\sqrt{28 } }{2(3)}$

$x=\frac{-4±\sqrt{(2)(14) } }{2(3)}$

$x=\frac{-4±\sqrt{(2)(2)(7) } }{2(3)}$

$x=\frac{-4±\sqrt{2 } \sqrt{2}\sqrt{7} }{2(3)}$

$x=\frac{-4±2\sqrt{7} }{2(3)}$

$x=\frac{-4±2\sqrt{7} }{6}$

Two separate equations

$x=\frac{-4+2\sqrt{7} }{6}$

$x=\frac{2+\sqrt{7} }{3}$

$x=\frac{-4-2\sqrt{7} }{6}$

$x=\frac{2-\sqrt{7} }{3}$

7 0

3 years ago

With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even number?

lilavasa [31]

Answer:

=7

Step-by-step explanation:

sum of all no÷total no

=1+2+3+4+5+6+7+8+9+10+11+12+13 ÷ 13

=91 ÷ 13

=7

5 0

3 years ago

A blue rope is three times as long as a red rope. A green rope is 5 times as long as the bike rope. If the total length of the t

N76 [4]

Answer:

80.25

Step-by-step explanation:

B=3R

G=5B=15R

R+3R+15R=508.25

19R=508.25

R=26.75

3(26.75)=80.25

4 0

3 years ago

Read 2 more answers

Lita has a coin with heads on one side and tails on the other side. She is going to flip it in the air three times. What is the

inysia [295]

Answer:

The probability is 1/8

Step-by-step explanation:

In this question, we are tasked with calculating that if a coin is flipped three times, we have the outcome in the question; THH

Now before we go on to calculate this probability, we need to understand some technicalities. Flipping a coin can only result into two outcomes as there are only two sides of a coin. These are the head and the tail. What this means is that if a coin is flipped, we should only expect landing on the head and on the tail.

Now these opposite sides have equal probability. This means the probability of landing on the head = probability of landing on the tail. These probabilities are equal as they are the only two options we have. Hence, the probabilities are 1/2 each

Hence, P(H) = P(T) = 1/2

Now, we proceed to calculating the probability of HTT

this mathematically means P(H) * P(T) * P(T) = 1/2 * 1/2 * 1/2 = 1/8

8 0

3 years ago

Read 2 more answers

If C=5/9(F-32) what is the value of F when C =40

tino4ka555 [31]

Answer:

$(F)= \frac{9}{5}$

5 0

3 years ago