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3 years ago

Solve for x: |2x + 12| = 18

1 answer:

8 0

|2x + 12| = 18

First, break down the problem into 2 equations . / 2x + 12 = 18 and -(2x + 12) = 18
Second, solve the first equation. / $2x + 12 = 18$
Subtract 12 from both sides. / $2x = 18 - 12$
Subtract 18 - 16. / $2x = 6$
Divide both sides by 2. / $x = \frac{6}{2}$
Simplify. / $x = 3$
Third, solve the second equation. / -(2x + 12) = 18
Simplify your brackets. / $-2x - 12 = 18$
Add 12 to both sides. / $-2x = 18 + 12$
Add 18 + 12. / $-2x = 30$
Divide both sides by -2. / $x = \frac{30}{-2}$
Simplify. / $x = -\frac{30}{2}$
Simplify. / $x = -15$
Fourth, collect the solutions. / $x = -15,3$

Answer: x = -15, 3

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What point satisfies the inequality y < -4x + 3 and idicates what side should be shaded on a graph.

Aloiza [94]

Answer:

Step-by-step explanation:

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2 less than -4(0) +3

2 less than 3 makes sence

7 0

4 years ago

En un libro de cocina se recomienda hornear un pavo a baja temperatura 3/4 de hora por cada libra y cuarto

german

Usando proporciones, hay que se debe hornear un pavo de 7 y 1/2 libras en 4.5 horas.

<h3>Lo que es una proporción?</h3>

Una proporción es una fracción de la cantidad total, y las medidas se relacionan usando una regla de tres.
En este problema, para cada libra y quarto de peso, o sea $1\frac{1}{4} = 1 + \frac{1}{4} = \frac{5}{4}$ de libras, el tiempo en horas es de $\frac{3}{4}$ . Qual el tiempo para un peso en libras de $7\frac{1}{2} = 7 + \frac{1}{2} = \frac{15}{2}$ ?

La regla de tres es:

Peso(libras) - Tiempo(horas)

$\frac{5}{4}$ - $\frac{3}{4}$

$\frac{15}{2}$ - x

Aplicando multiplicación cruzada:

$\frac{5}{4}x = \frac{45}{8}$

$x = \frac{45 \times 4}{5 \times 8}$

$x = \frac{9}{2}$

$x = 4.5$

Se debe hornear un pavo de 7 y 1/2 libras en 4.5 horas.

Se puede aprender más acerca de proporciones en brainly.com/question/26135684

6 0

3 years ago

Please I need help!!! F 25 G20 H10 J28

iris [78.8K]

Answer: J) 28

Step-by-step explanation: Triangle interior angles equal 180°

5 0

3 years ago

PLS HURRRRRRRYYYYY TYYY

Ede4ka [16]

Answer:

It's 15.70796. Won't go in-depth since time seems to be of the essence

Step-by-step explanation:

Won't go in-depth since time seems to be of the essence

8 0

3 years ago

A. What is the probability that this couple spends 45 dollars or more?

guapka [62]

Using the probability table, it is found that:

a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

b) The expected amount the couple actually has to pay is $36.85.

Item a:

To find the probabilities involving the total cost, we have to add the variables X and Y from the table, then:

$P(X = 30) = P(X = 15|Y = 15) = 0.2$

$P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3$

$P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25$

$P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2$

$P(X = 50) = P(X = 25|Y = 25) = 0.05$

The probability involving values of 45 or more is:

$P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25$

0.25 = 25% probability that this couple spends 45 dollars or more.

Item b:

For a discrete distribution, the expected value is the sum of each outcome multiplied by it's respective probability, hence, involving the 10% discount for prices above $45:

$E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85$

The expected amount the couple actually has to pay is $36.85

A similar problem is given at brainly.com/question/25782059

8 0

2 years ago